diff --git "a/data/dm_maths/full_data/10967_11255.jsonl" "b/data/dm_maths/full_data/10967_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10967_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -2*v = -6*g, 3*g - 65 + 62 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2419 + 1182 - 5288 = -75*j. Solve 9 = 3*p + 3*d, -84*d + j*d = -4*p + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 56 = 4*o, -1063*v - 2*o + 35 = -1068*v + 3*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3202 (base 7) in base 12?\nAnswer: -7a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -90117 divided by 51?\nAnswer: -1767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + n + 21 - n + 0*n. Let a be t(-8). Which is greater: a or -17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 4*k**2 + 2*k**4 + 53 - 2*k**2)*(2*k + 0*k + 0*k).\nAnswer: 4*k**5 - 12*k**3 + 34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*j + 3698 + 535 + 1394 + 106 for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 0.1, -6\/7, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*o - 118, -8*o = -15*o - 5*i + 413. Which is the closest to -2? (a) o (b) 3 (c) -4 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 12) in base 5?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -52\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - z**2 + 2*z - 4. Let d(s) = s**3 + s**2 + 1. Give -3*d(l) - x(l).\nAnswer: -2*l**3 - 2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*q - 11945 = -135*q + 6010 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23881744?\nAnswer: 2, 61, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let s(f) = 8*f + 10. Let m(c) = -s(c) - 5*w(c). Let z be m(-4). Suppose -z*j = 5*g - 83 - 218, g - 57 = -2*j. List the prime factors of g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 + 7. Let d = -13 - -18. What is the nearest to 2\/5 in p, d, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -20. Let y(m) = m**2 + 6*m + 8. Let g be y(b). Suppose 0*i = i + t + g, -32 = 5*i + 3*t. Which is smaller: 0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -849103 or -14434728\/17?\nAnswer: -14434728\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-18)*586\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 = 0, -2*q + 7*l + 272 = 6*l. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -20*i + 40090. Calculate the least common multiple of 14 and i.\nAnswer: 14770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1257 - 942. Calculate the greatest common divisor of 189 and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 2. Let v be r(-5). Let h(w) = -2*w**2 + 61*w + 29. Let c be h(31). Sort c, v, -1, 0 in descending order.\nAnswer: v, 0, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 18*f**2 - 109*f + 50. What is z(-22)?\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00124415903 rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(140\/2)*(-12)\/9. Are h and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*h - 30*h + 33*h + 34*h in the form b*h + s and give b.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = -70*d - 515 - 358 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1963 take away -3?\nAnswer: 3.1963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krpr when four letters picked without replacement from {r: 1, k: 6, g: 5, p: 1, a: 1, o: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - s**4 + s**4 + (-2*s + 2*s + s**3)*(-3*s**2 + 3*s**2 + s**2) + (s**3 - 3*s**3 + 0*s**3)*(-46*s**2 - 47*s**2 - 42*s**2).\nAnswer: 273*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/66 + -3335\/132. What is the common denominator of z and -95\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h = -300 - 6 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 7*f**2 + 27*f**2 + 10.\nAnswer: 20*f**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -21. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2)*(-37*o - 189 + 189) - o - 4*o + 6*o.\nAnswer: -73*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + k + 42. Suppose 1 = -5*y + k. Let p(v) = 1 - 1 - v**3 + y*v - 2*v**2. Give p(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*a - 0*a - 30, 0 = -4*a + 4*j + 40. Solve -6*v + v = -a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 118? (a) 0.4 (b) 23 (c) 2\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.6 + -9. Let q be 3 + 2 - (0 + 1). Suppose 0 = 2*n + 7 + 3. Which is the second biggest value? (a) m (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99)*2 - sqrt(99))*3)\/(sqrt(9) - (-6*sqrt(45)\/sqrt(5) + sqrt(9))).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*y - 15. Let m(c) be the first derivative of -8\/3*c - 8\/3*c**2 - 3 - 2\/3*c**5 + 4\/3*c**4 + y*c**3. Let m(v) = 0. Calculate v.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-3 + 12\/(-12). What is the nearest to -4 in -0.1, s, 3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12*-5)\/(1 - (-87)\/(-78)). Suppose -z + 248 = -8*g. Suppose -5*a - 18 = -53. What is the remainder when g is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 49458*y**2 + 305736990*y + 305786450.\nAnswer: 2*(y - 12365)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 392c (base 16) in base 6?\nAnswer: 151432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6856655 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -758*l**3 - 6*l**2 - 12*l - 22. What is the least common multiple of 6 and h(-4)?\nAnswer: 145326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 8*g + 169. Let w = g - -18. Sort 1, -4, w in increasing order.\nAnswer: w, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j + 617400 = 12*j. What is j rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Suppose -20*f + 17*f = -12. Let j(l) = -f*l + 17*l - 8*l. Calculate v(j(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2795438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8 + 5 + 13*y - 159*y + 36*y - 54*y. Let b(z) = z. What is b(g(n))?\nAnswer: -164*n + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3055769 times 5?\nAnswer: 15278845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/18 and 71\/606273.\nAnswer: 3637638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.133 - 0.13300102. What is c rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 12*f - 7. Let u be c(13). Suppose r - u*r - 15 = 3*j, 2*j + 10 = 3*r. Round r to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzzzzzgzzzzg. Give prob of sequence ggzz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 19*x**2 - 80*x - 11. Let h(n) = 7*n**2 - 27*n - 4. Let j(c) = -11*h(c) + 4*y(c). Let l be j(-23). Solve 4 = 4*g - l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k + 6. Let u be y(7). Let q = u + -17. What is the highest common factor of 119 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 5. Let y(i) = i**3 - 8*i**2 - 6*i + 12. Let q(g) = -g**3 + 8*g**2 + 5*g - 12. Let o(m) = -5*q(m) - 6*y(m). Let p be o(9). What is s(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 15 (c) -5 (d) 10 (e) 166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4587347 to the power of 1\/2, to the nearest integer?\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, u: 7}. Give prob of picking 2 t.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/39 in -30, -2, 1349?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3\/4, 0.022.\nAnswer: -3\/4, -0.4, 0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 8*l + 3. Give r(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**2 - 67*y - 1012 = 0?\nAnswer: -44, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479337541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.1. Suppose -5*m + 2*l - 14 = -3*m, -2*m = 3*l - 6. Which is the third smallest value? (a) 2 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13008*b**3*o**2*r - 17302*b**3*r**2 + 6744*b**2*o**2 + 6*b**2*o*r**2 + 2032*o*r**2 wrt b?\nAnswer: 78048*o**2*r - 103812*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-38)\/4)*(8\/(-90))\/(484\/8470).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 40210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(637) + 0 + sqrt(637)*1 + sqrt(637) + sqrt(637))**2*-3 - (2 + (sqrt(637) + -2)*5 + 3).\nAnswer: -1933 - 161*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*3*(-4*(sqrt(1584) - (sqrt(1584) - sqrt(1584)*-2 - sqrt(1584))) + -2)**2*2.\nAnswer: -3456*sqrt(11) + 456264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3 - 6. Suppose -5*r = 4*l - 31, 2*r + 4*l + 2 = 24. Suppose f = r*f. What is the closest to f in -0.2, v, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 478, 1124, 1802, 2512, 3254, 4028, 4834?\n\"Answer: 16*a**2 + 598*a - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53601.09s to microseconds.\nAnswer: 53601090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = 5*r, 0 = -2*m + 2*r + 16. What is the third derivative of 2*g**m + 9*g**6 + g**6 + 6*g**2 wrt g?\nAnswer: 1440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-3)\/144*3. Which is the third smallest value? (a) n (b) -2\/5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-2\/21)*h))\/h**11 assuming h is positive.\nAnswer: h**(-229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8361, -33997, -77693, -140241, -222433?\nAnswer: -325061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 35, 116, 271, 524?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967544?\nAnswer: 2, 120943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444*x - 12259 = -1387*x. Let i(r) = r**2 + 4*r + 2. Let a be i(-4). What is the greatest common factor of x and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7356209 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*s**3 - 2158*s**2 - 6*s + 9495245 with respect to s.\nAnswer: 27*s**2 - 4316*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y + 3. Suppose 436 = -n + 5*n. Calculate the remainder when n is divided by x(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 a factor of 6524882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5948722 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (0 - -1)*-2. Suppose 2*u = -z*u - 5*s + 10, 19 = -4*u + 5*s. What are the prime factors of (-21 + u)*2\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31903 > 31901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 52?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/13 + (-27035444)\/(-3172). What is the greatest common divisor of 18 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -32*t**2. Let g(x) = -34*x - 24. Let j(m) = -43*m - 26. Let p(z) = 5*g(z) - 4*j(z). Determine p(k(d)).\nAnswer: -64*d**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**3 - d**2 - 4*d. Let z be v(2). Suppose 4*y + l = 76, z = y - 5*l + l. Suppose -16*i = -y*i + 8. Solve 0 = -i*q + 3*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/12 + (-26)\/(-8). Let w(o) = h*o - 4*o + 2*o - 1 + 0. Calculate w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -9. Let a be (5 + 0)\/(10\/250). Suppose -3*p + v*p - a = 0. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2261\/9 - 251. Let c(x) = x**2 - 9*x + 10. Let i be c(5). Let u be -4 - (35\/i - 1). Which is bigger: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*s**2*v - 1053483*s**2 + 9787*v**4 + 38*v**3 - 4 with respect to v.\nAnswer: 4*s**2 + 39148*v**3 + 114*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m = 29*m + 6. Suppose m*x - 510 = -2*x. Let k(c) = 2*c + 87 - c - x. Determine k(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2574 + 2570. Put -33, 20, p in descending order.\nAnswer: 20, p, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 - (0 + (-77)\/(-5)). Let m(w) = -2*w**2 - 29*w + 21. Let o be m(f). Suppose -v = 4*t - 6945, -3*t + o*v = 2*v - 5185. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*l**3 + 139*l**3 - 949*l**3.\nAnswer: -1163*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 140b (base 14) to base 8\nAnswer: 6723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5) + -6 + 11*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -7*q - 16 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q + 5*q + 4533*q + 2048*q to h + v*q and give v.\nAnswer: 6578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.49 - -21.62. Which is the closest to -0.1? (a) 4 (b) 5 (c) j (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 268 + -518b?\nAnswer: -4c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*a + 27 = 3, 3*a - 6 = 2*f. Let s be ((-14)\/(-6) - 2)*f. Calculate the remainder when s\/(-4) + 38\/4 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14*4*5\/(-25)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -6. Suppose -q - m - 3*m - 12 = 0, -2*m - r = 4*q. Let 1\/4*h + q + 1\/4*h**2 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 44*d**2 + 1841*d - 5532. Determine c(3).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 6*f + 4. Let g be n(2). Which is the smallest value? (a) -2\/3 (b) -2\/5 (c) 0.4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - w**2. Let p(l) = -4*l**3 + l**2 + 5*l + 2. Let g(n) = p(n) - 5*q(n). Let u be g(-4). Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -75*h + 10209. Calculate u(136).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*l + 1. Let g = 15 - l. Let t be (-1 - (-5 + -1)) + g. Which is the nearest to 4\/9? (a) 0.2 (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 37*w**2 + 31*w**2 + w - 72*w**2 + w + 47*w**3 to g + b*w**3 + z*w + a*w**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 12*u**2 + 11*u - 4. Let g(n) = -2*n**3 - 25*n**2 - 21*n + 9. Let r(t) = -4*g(t) - 9*x(t). What is the tens digit of r(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85720104.\nAnswer: 2, 3, 47, 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118104*m*u*y + m*y - 476783*m + 2*u*y + 166*u + 4*y with respect to y.\nAnswer: -118104*m*u + m + 2*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 79758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/641631 and -10\/1622949.\nAnswer: 27590133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2687 + 4192 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 3*j**2 - 2*j - 1. Let r(y) = 3*y - 2. Let m be r(6). Suppose 4*z - m = 8. Suppose 0 = 2*w - z - 0. What is f(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 19*v**8\/336 + v**7\/210 - v**4\/6 - v**3\/6 - 2*v**2 + 139. Find the second derivative of n(a) wrt a.\nAnswer: 380*a**3 + 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.172 rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40\/6)\/(-4)*-3. Suppose 2*j - 3*i - 4 - 10 = 0, -5*i = 20. Let r be (0\/(-1))\/(j + 1). Solve -y + 0*a - a = r, 4 = 3*y + s*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y - 568. Let s = y - -755. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k*k**(5\/6)*k)))\/(k*(k\/(k*(k\/k**(2\/27))\/k*k*k)*k)\/k))\/(k\/(k**0*k))**(20\/13) assuming k is positive.\nAnswer: k**(149\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 879?\nAnswer: -879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 600*g**2.\nAnswer: 5*g**2*(g + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**9\/10584 - o**7\/980 + o**6\/630 - o**3\/3 + 2*o**2. Let g(t) be the first derivative of w(t). Factor g(p).\nAnswer: 2*p**2*(p - 1)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143695542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**2*r*t**2 + 4*b**2 + 2*b*r**3*t**2 + 4*r**3*t - 7*r*t wrt t?\nAnswer: -10*b**2*r + 4*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -5*b + 11. Let d = b + 18. Suppose -5*y + 16 = u, -2*u = 4*y - y - d. Calculate the greatest common factor of u and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 - 148. What is the greatest common factor of g and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177640 divided by -88820?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 + s. Let j be z(-2). Let b = -24 + j. Let n = b + 9. Solve 0 = 4*f + n - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 78*x - 351 = -51 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6910 is divided by 2168?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -209 - -3?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/5957 and -11\/70702?\nAnswer: 18311818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*m - 1397 = 578 + 577 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p**2 - 2*p + 1. Let t be w(2). Let k = 8 + t. Suppose 11 = k*g + 1. Solve -h = -3 + g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*l + 118 + 690, 0 = l + r + 264. Let g = l + 308. Let j = 43 + -23. Calculate the greatest common factor of j and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.93 + 2.53. Which is the fourth biggest value? (a) -3 (b) -1\/8 (c) k (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + x**2 - x - 1. Let d(p) = -2*p**3 + p**2 - 2*p + 2. Let v(n) = d(n) - j(n). Let k be v(0). Is 0 + -1 + (k - -34) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**8\/560 + w**7\/280 - 2*w**3\/3 + 1. Let t(f) be the third derivative of r(f). Determine m so that t(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121546645?\nAnswer: 5, 11, 2209939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -4262564.\nAnswer: 17\/4262564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iidffiidiaiiiaf. Give prob of picking 2 d and 1 a.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 100, -12.2?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*v - 8*v = -146, 5*j = 2*v + 365. Is j less than or equal to 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 710, 1643, 2966, 4679, 6782, 9275?\nAnswer: 12158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13316197?\nAnswer: 43, 53, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 1:18 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2070\/541013 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -56. Let m be o\/11 - (1978\/(-1100) - -2). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 475, 1\/57, -5, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174027047 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 49901280.\nAnswer: 49901280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*a - 6 = -55*a - 2*w, 2*w = a + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.276787 kilograms to grams.\nAnswer: 6276.787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 = 5*z, 16 = 4*z - 0*z. Let b(t) = -t + 9. What is the remainder when d is divided by b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -605.88 + 606. Let r be (-2)\/8 - 18\/(-40). What is the third smallest value in c, 0.3, 4, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 10 - -4 - -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/25)*d*d**(7\/9)*d*d**45\/d*d*d\/(d*d\/d**(3\/4)) assuming d is positive.\nAnswer: d**(42919\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 2. Let r = 2 + -2. Find f such that -6\/5*f**5 + 0*f + 4\/5*f**4 + 6\/5*f**3 + r - 4\/5*f**y = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a334 + -26?\nAnswer: 3a309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103\/78 + (-22)\/(-26) + 1 + -2?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 10:58 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 = -2*i - 31*d - 28*d, -4*i + 86 + 95 = 4*d + 73 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 7126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 60.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wppwppppp. Give prob of picking 2 w and 1 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**8\/20160 + o**7\/1512 - o**6\/360 + 61*o**4\/24 - 125*o**2. Let c(j) be the second derivative of v(j). Factor c(q).\nAnswer: q*(q - 1)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 4*v**2 - 2*v**2 - v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3326.202 hours in microseconds?\nAnswer: 11974327200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*u + 6992, -5*q + 9*u = 12*u + 8740. Is -1748 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4137 or -4117?\nAnswer: -4117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228835?\nAnswer: 5, 179, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + i + 2 = -5, l - 28 = -5*i. Let j(b) = -1067*b**2 + b. Let n be j(l). Round n to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*p + 65*p - 110. What is the fourth smallest value in p, -3\/4, -0.2, -4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 8*g + 354, -30*k = -34*k + 2*g + 66 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478, -503, -546, -607, -686?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4\/5, 18.4, 1, 8\/13, 7, 0.3 in decreasing order.\nAnswer: 18.4, 7, 3, 1, 8\/13, 0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -35*s**3 + 6*s**2 + 6*s - 6. Let m(y) = 34*y**3 - 7*y**2 - 7*y + 7. Calculate -7*d(o) - 6*m(o).\nAnswer: 41*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 109829 times 1.08\nAnswer: 118615.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/20, 1\/69, -220.\nAnswer: -220, 1\/69, 1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w - 40. Let q be i(-7). Suppose -2*g - 8*d + 3*d = -7, 3*g - 5*d = -q. Put g, 4, -51 in decreasing order.\nAnswer: 4, g, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/90*6*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 2, 2.28, -2\/3, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -10758283\nAnswer: 10758283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a4 (base 12) to base 13.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3638*c + 10931*c - 3645*c - 3647*c + 7239 to q*c + x and give x.\nAnswer: 7239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*a = -16, -5*t - 2*a = -5*a - 4. Factor 20*d**2 - 8*d + 0*d**3 - t*d**3 - 6*d**3.\nAnswer: -4*d*(d - 2)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5748431 is divided by 5748426.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-9) - 6\/27. Let r be (-3)\/g - 133\/(-14). Suppose 24 - r = 4*v. Solve -1 = -0*k + k + a, -11 = -k - v*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -744, -1713, -2680, -3645, -4608, -5569?\n\"Answer: c**2 - 972*c + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -649*g - 8384 - 11661*g**2 + 8383 + 11659*g**2 as v*g + d + h*g**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -25*n**5 - 10*n**4 + 648*n**2 - 1. Let x(i) = i**5. Let k(m) = -w(m) + 6*x(m). Find the third derivative of k(o) wrt o.\nAnswer: 1860*o**2 + 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164499 is divided by 110.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuuukuuuuuu. What is prob of picking 2 k and 1 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 - 19*a**2 + 2*a + 4. Let o(q) = -12*q**3 + 75*q**2 - 9*q - 21. Let w(l) = 4*o(l) + 15*y(l). Factor w(z).\nAnswer: -3*(z - 4)*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 59, 156, 311, 536, 843, 1244?\nAnswer: 1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15903626 to the power of 1\/2, to the nearest integer?\nAnswer: 3988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(19\/3)\/o*o)*o**(3\/32))\/(o**(-11\/5)*(o\/o**2)\/o))**(-7) assuming o is positive.\nAnswer: o**(3493\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**3*g - 33*a**3*o - 2*a*g**2*o + 2*g**2 - 9*g wrt o?\nAnswer: -33*a**3 - 2*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 211738353*s + 52558976.\nAnswer: 211738353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 529215 to the power of 1\/2, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*d = -3*d + 1092, 1107 = a + 2*d. What are the prime factors of a?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 c when four letters picked without replacement from {w: 2, i: 3, c: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j - 154 = -49*j. Calculate the greatest common factor of 518 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 425, -2, 9, -189 in decreasing order.\nAnswer: 425, 9, -2, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 15 - 9*n - 38 + 23. Suppose 0 = -6*y - 6. What are the prime factors of r(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 264 - 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/4)\/(57\/(-171)). Let r = -503\/44 - o. Which is the second biggest value? (a) -2 (b) 0 (c) 0.5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 34*i**3 + i**2 + 2. Let x be w(2). Suppose -3*j = -j - x. Let h = j + -45. List the prime factors of h.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-126.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/27)*(y**(-20)\/y)\/y)\/(y**(-1\/12)\/(y**(-4\/3)\/y)) assuming y is positive.\nAnswer: y**(-2615\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54 - -4?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 1\/60*v**5 - 31*v - v**2 - 2\/3*v**3 + 0 + 1\/8*v**4. Let u(k) be the first derivative of x(k). Determine p so that u(p) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12023*g + 3955563. Calculate b(-329).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25198 rounded to 3 decimal places?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -3.808767.\nAnswer: -0.3808767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2 - 3 + 2*a + 13. Let l be n(-8). Let x = -2 - l. Do 2 and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1\/3, -2, 7, 2\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.51 - 9.09. Let j = s - -9.5. Which is greater: 0.32 or j?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/8*(-7 - -3). Suppose 3*q = 3*h - 0*h + 18, -5*q + 3*h + a = 0. Solve -q*b + 18 = -2*l, 2*l = l + 5*b - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.02 (b) 63.81 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1469.\nAnswer: 5876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 28\/12)\/((-8)\/(-6)). Let n = -64\/93 - -2\/93. Which is the second biggest value? (a) -0.3 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 377, 764, 1165, 1586, 2033, 2512, 3029, 3590?\n\"Answer: w**3 + w**2 + 377*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**22\/z*z**(-2\/27)*(z\/(z\/(z\/(z**23\/z)))*z*z)**(2\/5) assuming z is positive.\nAnswer: z**(1799\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - u + 162. Let j be h(-13). Solve -s - 6 = -2*i, -3*s = -j*i + 7*i + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 50*a**2 + 3741*a - 656. What is f(-75)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -10, 2*j - 4*h = 43 - 183. Let k be j\/10 - -8 - (-45 + -1). Calculate the highest common factor of 115 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 32*g**2 - 4*g + 1842762*g**3 + 8*g**4 - 1842774*g**3 + 4*g**5 = 0. What is g?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 173007010 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5*c - 19 = 4*c, -2*h + 3*c = 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-65) + ((-5)\/35 - (8892\/(-455) - -1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.66 - -5.94. Let h = -8 - x. Let f = h - -15.71. Round f to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1287*t - 2598*t + 1298*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {v: 4, a: 2, g: 1, r: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejpe when four letters picked without replacement from ejpeeppe.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1058 > -467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 6 + 10. Let c(y) = y**3 + 4*y**2 + y + 4. Let r be c(p). Let s be (0 - 2) + 1 - r. Sort 0, s, 2 in ascending order.\nAnswer: s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + t + 2 - 4*t + 5*t - 2*t + 3*t - 2*t - 3*t + (-4 + 5 + 1)*(5*t - 2*t - 2*t) - 1 + 1 + t + t - 1 + 1 + 3*t + t - 2*t - 5*t + 3*t - t)*(-2 + 5 - 2).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 + 1541 + 1517 - 4599 + 6*o**3 + 1541.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 26. Calculate the remainder when c(0) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n - 48. Let o be c(10). Let r be (-5)\/o*(-5 + (-45)\/(-25)). What is the greatest common divisor of r and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24520416 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4*4\/72). What is the second derivative of -h - 7*h**3 - 22*h - 23*h**3 + c*h wrt h?\nAnswer: -180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -331 + 953. Let p = -372 + s. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -128 (b) -0.3 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -6?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -9. Suppose f - 1 = -0*f. Calculate the highest common divisor of f and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 6. Let i be ((-28)\/(-5))\/(j\/20). Let g be i\/(-8)*20\/(-7). Solve 2*l = 5*o + g, -5*l = -3*o + 2*o + 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 - (-4 + -4 + 9) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*v**2 - 1 - 3*v**2 - 2 + 2 + (-v - 2*v + v)*(-2*v + 2*v + v) - 2*v**2 + 7*v**2 + 0*v**2 + (-4*v**2 + 0*v**2 - v**2)*(3 - 3 + 2).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 4\/6 + -1. Let z be (3*1)\/(7 - 10). What is the nearest to q in 0.3, -1\/2, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 4:36 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 22*p + 2. What is the remainder when 180 is divided by 74\/(-6)*(-5 - (-3 - p))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -475749 divided by -1?\nAnswer: 475749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -4, 14.\nAnswer: -4, -2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/60*8)\/(4\/690). Let o = c + -50. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {o: 2, q: 1, z: 4, v: 5, a: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yykyyyyysyyyks. What is prob of picking 1 y and 2 s?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, x: 7}. Give prob of sequence xqq.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -433819732\/391 - -1109514. Let i = -12\/17 + x. What is the smallest value in 0.1, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 17*k - 5. Let m be v(1). Solve -2*a + 6*a - m = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 628 + 132. Suppose m + 3*m = q. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -8\/7*j + 0 - 4\/7*j**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8798, -8799, -8800?\n\"Answer: -p - 8797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itt when three letters picked without replacement from {t: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 37*n**2 + 1908*n. Let c(o) = 3*o. What is c(h(z))?\nAnswer: 111*z**2 + 5724*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-520)\/(-90) + (14\/(-18) - -1). Solve -s*x = -2*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9*j**3 + 4*j. Let b(v) = -3*v**3 - v**3 + 5*v - 3*v. Suppose -93 = 259*f + 1202. Let d be (4\/5)\/((-2)\/(-5)). Give d*n(s) + f*b(s).\nAnswer: 2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87.38 + 87.380099882. Round q to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-89)\/(1068\/1200))\/(3*-2).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1. Let f(b) = -b**3 - 9*b**2 - 6*b + 10. Let r be f(-8). Let h(c) = -c + 6. What is r*v(m) + h(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/3 + 2 + -2. Let o be ((-4)\/8)\/((-1)\/24). Calculate the highest common divisor of o and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0, -0.1, -4, -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50143872 and 128?\nAnswer: 50143872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-12) + (-4)\/6 + -2. Suppose 2*y - 10*y = n. Find the third derivative of -p**4 + 2*p**2 + y*p**4 + p**2 + 3*p**2 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004173744 to five dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14218*g + 85364. Give w(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g + 5*f = -7, -g - 4 = 2*f. Let j = -39.98 + 40. Put -3\/7, j, g in decreasing order.\nAnswer: g, j, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.14 - 6.16. Let t = -7 - l. Let p = -0.04 + 0.44. What is the biggest value in p, t, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 3, 2461, -2\/35, -5 in decreasing order.\nAnswer: 2461, 3, -2\/35, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -6186*h + 6187*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 - (0 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 946210.\nAnswer: -13\/946210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + u - 33, -5*s - u + 14 = 44 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 77*d - 24*d - 28*d - 25*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcdq when four letters picked without replacement from fqcbfcbqfffqbdbbb.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -92241, -184489, -276747, -369021, -461317, -553641?\n\"Answer: -w**3 + w**2 - 92244*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v - 24. Let d be z(5). Suppose -d*b + 7*b - 16 = 0. Let q be 21\/(-9)*1 - b\/(-12). Which is greater: q or -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (6\/3 - 0). Let k be 3\/6 - y\/(-4). Is -3 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = z, -2 - 6 = s - 2*z. Solve 6*g + 16 = s*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73061300 rounded to the nearest one million?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3722\/19 + -196. What is the third biggest value in 3, t, -0.1, -0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 - 0.15573154763.\nAnswer: -88.15573154763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 1. Let m be c(-7). Let q(v) = -v**3 - 15*v**2 - 37*v + 6. Let b be q(-12). What is the greatest common factor of m and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24 - 20\/3*g - 4\/9*g**2.\nAnswer: -4*(g - 3)*(g + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*m - 9 + 120, -44 = a - 4*m. Suppose 0*c = -2*c. What are the prime factors of a\/8 + (c - -19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 divided by 7?\nAnswer: -354\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*v = 1442 + 1036 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbn when three letters picked without replacement from yfyybynynz.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) -1 (c) -2\/9 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = -2*q - 5*c, -2*q = 3*c + 11. Let t(z) = -2*z + 2. Let b(s) = -2*s + 2. What is q*t(d) + 5*b(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483753780.\nAnswer: 2, 3, 5, 2687521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 301*n**6\/40 - 29*n**5\/15 + n**3\/2 + 22*n**2 + 2. Find the third derivative of w(a) wrt a.\nAnswer: 5418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/2 + (-1)\/(-2). Let t be d*2\/6 + 2. Which is the smallest value? (a) 2 (b) 2\/13 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.1? (a) 4\/3 (b) 2\/9 (c) -110 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 1\/3 (c) 0 (d) -426 (e) 0.04 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let q(i) = 14*i - 106. Give q(c) + 12*w(c).\nAnswer: 2*c - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008384 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = -6*i - 440. Let m = 40 - i. Solve 2*o - 5*j + 2 - 13 = 0, m = -2*o - j + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -148084 or -148095?\nAnswer: -148084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 518 and 14602.\nAnswer: 540274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67624375*u**2 - 6647590*u - 4.\nAnswer: -135248750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*d + 9221 + 2857 = 0, -w = -3*d - 6012. What is the highest common divisor of w and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 253 - 119. Suppose -4*p + i = 3*s - 14, 111 = 3*p - s. Calculate the greatest common factor of 296 and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 7 - 8. Suppose o*s - 26 = 14. Let p = 6 + s. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*w + 217*w = -375. Let i = 100 - w. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**3 - 9370*d**2 + 37545*d - 28170 = 0?\nAnswer: -1878, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.94567 + 15.07. What is f rounded to 3 dps?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -42, -727, -2282?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 2*m**2 + 157. Let g(n) = -30*n**2. Calculate g(y(k)).\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/21)*s**(-16))\/(((s\/(s*s\/(s\/(s\/(s**28\/s*s)*s*s))*s*s))\/s)\/s*s*s**(5\/13)) assuming s is positive.\nAnswer: s**(-10180\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2. Let r(g) = 9484882*g - 2 + 1765*g**2 - 9484882*g. Calculate r(i(z)).\nAnswer: 1765*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -456 divided by -4\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 43*p + 118. Give u(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 211, 569, 1167, 2005, 3083, 4401, 5959?\n\"Answer: 120*f**2 - 2*f + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11890*d - 7847294 = 11799*d. List the prime factors of d.\nAnswer: 2, 43117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002252265724 rounded to 5 dps?\nAnswer: 0.00225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413 (base 5) to base 2.\nAnswer: 1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {q: 10, g: 1, k: 1, n: 2}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 6*c**2 + 6*c - 2. Let h be v(5). Suppose h*p = -4*t + 19, -2*t - 7*p + 22 = -3*p. Do 1 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 502 + -735. Let g = p + 233.01005. Round g to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*v**3 - 104\/7*v**2 + 708\/7*v**4 + 160\/7*v**5 + 36\/7 - 192\/7*v = 0. What is v?\nAnswer: -3, -1, 1\/5, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1687*k + 155222. Calculate j(92).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11246273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 0*g**2 + 0*g + 11\/3*g**3 + 17\/4*g**4 - 20. Find the third derivative of w(m) wrt m.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22609546*h**3 - 40568413?\nAnswer: 67828638*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2798370 is divided by 1852.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/210 + g**4\/21 - g**3\/7 + g**2 - 11. Factor d(x).\nAnswer: -2*(x - 3)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.7 + -1.3. Let n = 0.4 - w. Let x = 0.7 - 0.4. What is the biggest value in 1\/5, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104*j*m - 387*j*z + 64*j + 233*m*z - z - 1 wrt m?\nAnswer: 104*j + 233*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1\/2, 2\/15, -5.1.\nAnswer: -5.1, -1\/3, 2\/15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -48, -51, -56, -63, -72?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 17*s**2 + s - 16. Let n be k(17). Sort -3, -8, n, -2, -1 in ascending order.\nAnswer: -8, -3, -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 18. Let v(a) = -a**3 + 8*a**2 + 8*a + 12. Let z be v(l). Suppose -z*r + 26 = 4*q - 23, 0 = -2*q - 2*r + 22. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.43*0.02\nAnswer: -0.2686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246 or -261?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -56, -194, 2, 3 in increasing order.\nAnswer: -194, -56, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose 4*b + t - 37 = u, 15 = 3*b + t + 4*t. Calculate the highest common factor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 3*y - 3. Suppose -3*l + 16 = 5*u, -4*l - 2*u + 18 = 3*u. What is r(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01846887512 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 514847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-70)\/(-3))\/(4\/(-12)). Let b = i - -100. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 8*h + 9 - 8*h. Is 17 a factor of i(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -110 (b) 3\/5 (c) 2\/11 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, h: 15}. Give prob of picking 2 c and 2 h.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 993769984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m - 2. Suppose 80 = -0*r + m*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.034, -0.3, 1\/4.\nAnswer: -0.3, -0.034, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -90, -289, -672, -1299, -2230, -3525, -5244?\nAnswer: -7447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85110 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -4 + 9 - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -5 (c) 1331\/3 (d) 5\/4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1140*l**2 - 14088*l - 4905. Determine u(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -x + 4*w, 5*x + 2*w + 202 = 55. Let q = 25 + x. What is the tens digit of ((-46)\/(-6))\/(q\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004 smaller than -7809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 = -226*p - 1023 + 100 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 15*o + 470. Let y = 146 - o. Let i = y + -49. What is the remainder when 3 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/108 and -61\/17421.\nAnswer: 627156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120212312 (base 4) to base 6.\nAnswer: -11440130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 7) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 23ac753?\nAnswer: 23ac750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 134*v - 1863. Give n(-79).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 687, 685, 683, 681?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*z - 35*z - 322134 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66741 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (-1 + sqrt(11) + sqrt(11))**2 + -3 - -1*sqrt(1100)) + -4.\nAnswer: 7*sqrt(11) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 10. Let w be 3*36*(-2)\/(-3). Suppose 0 = -5*q - 3*c + 86, -3*c = -3*q + 2*c + w. What is the remainder when q is divided by f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 467703, 467673, 467587, 467415, 467127?\n\"Answer: -5*w**3 + 2*w**2 - w + 467707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8218 - -7298.4. Round u to the nearest 10.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1673321 is divided by 5711.\nAnswer: 5709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 1474, 3258, 5756, 8968?\nAnswer: 12894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/5 (b) 120 (c) 24\/7 (d) -0.4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 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: What is the next term in -2646, -5324, -8054, -10854, -13742, -16736, -19854, -23114?\nAnswer: -26534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 = -3*o. Solve -4*x + 4*t = o, 2*x - 3 = -0*t - t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 4*w - 19, 0 = 246*w - 251*w + 55 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 812 and 50316.\nAnswer: 1459164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*d + 12 = -2*j, 5*j = 5*d + 15. Let h = -14 + 12. Let k = h + j. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0193 - -0.3807. What is the biggest value in -5, 1\/32, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/52*4\/3*-1\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 - (10 - (-1 - -4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/23 (b) 2 (c) -28 (d) 4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9750.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1866 divided by 6.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*h = -117, 3*m - 5*h + 3622 - 3811 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 4*n. What is the remainder when (-2)\/(-6) - 88\/(-6) is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296157?\nAnswer: 3, 17, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -415*-5\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(1584) + -1)*3 + -1 + 3*(sqrt(1584) + 2))*-3)**2.\nAnswer: -3888*sqrt(11) + 1154772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-245))\/((-11)\/(-660)*-3).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -25440 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9320 is divided by 1165?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*o - 0*o. Let x(l) = l**2 - o*l**2 + 0*l**2. Let b(m) be the second derivative of m**4\/6 - m. What is x(b(k))?\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69322754*a + 2 - 23*a**3 - 69322754*a.\nAnswer: -23*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80387 is divided by 8036.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22 - -18) + (-6 + -2)\/(-2))*-1. Solve 4*r - 166 + 178 = f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-24 - (11 - 25))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Let v be ((-75)\/27 + 3)\/(3\/27). Suppose p*i + v*x = -3622, x + 2579 = -3*i - 2852. What is i rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m**4\/3 - 154*m**3\/3 - 8*m**2 = 0. Calculate m.\nAnswer: -2\/13, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*28\/(-4))\/(1\/(-285)). Let t = d + -384. What are the prime factors of t?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50394 divided by 6.\nAnswer: -8399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*n - 160*n + 76*n = -1392. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*w - 9 = -3*w, -3*w = 2*x + 11. Suppose -1950592 = -5*v - x*v. Let t = v + -68656. What is t rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31724 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, j: 9, v: 1, u: 5}. What is prob of picking 1 m and 1 j?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**7*a)\/a*(a**(1\/11)*a)\/a)\/(a**3*a*a**(3\/4)))**(-22) assuming a is positive.\nAnswer: a**(-103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -890980.\nAnswer: -3563920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 89. Suppose -578 = -w*m - 23. What is the remainder when m is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zpdzzddz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, 1 t, and 1 v when four letters picked without replacement from nvvjmjjjataaj.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let p be (-1)\/4 + (-75)\/20. Let h be x(p). Sort 2\/3, h, -0.5 in descending order.\nAnswer: 2\/3, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**2 + q + 1. Let i be (-6)\/14 - 24\/(-56) - 1. What is k(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -326?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3513*w**3 + 2342*w**2 - 7*w. Let o(g) = -2339*g**3 + 1561*g**2 - 5*g. Let y(d) = 5*k(d) - 7*o(d). What is the third derivative of y(c) wrt c?\nAnswer: -7152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 24 = 10*p - 24. Put p, 0.2, 1, -5, -1\/97 in increasing order.\nAnswer: -5, -1\/97, p, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 9 - (7 - (4 - 4 - -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9*(-3)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1015 + -1012. Solve -2*o - v*o = -5*f + 15, 4*f = -o + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -301, -282, -245, -184, -93, 34, 203?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26480144 is divided by 58?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 6 + 6 + 24*v - 26*v + 7*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1)*(-3)\/2. Suppose 5*p = -5*f, -f = -2*p - 2*f + u. Let k = -0.64 + 0.44. Which is the third smallest value? (a) k (b) p (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.037 - 16.963. Let a = t + 17.4. What is the smallest value in 4, a, 3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*j**3 - 70953470 + 70953470 - j**2.\nAnswer: -50*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: In base 3, what is -20201022000 - 0?\nAnswer: -20201022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - a. Let s be w(-2). Suppose 0 + s = 3*c. Solve c = 5*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (0 - (-2 + (0 - -3))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6491 + 6498. What is the remainder when 200 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*f**3 - 3*d - 244*f - 46 wrt f?\nAnswer: 6*d*f**2 - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -355 = 1387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14869 - -14879. Which is greater: d or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 936 or 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.3355 millennia in decades?\nAnswer: 2633.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w\/((w\/((w*w\/w**(-15)*w)\/w))\/w))\/w*w**21 assuming w is positive.\nAnswer: w**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10*(113364\/1175)\/36*5\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82758, 165676, 248598, 331524, 414454, 497388, 580326?\nAnswer: 663268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + 1 + -1 + sqrt(475) + sqrt(475))**2.\nAnswer: 140*sqrt(19) + 1949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -6209\/6, -55, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1052.1 * -38\nAnswer: 39979.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1796 - -18.8603064\nAnswer: -1777.1396936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47.2111 + -0.2111. Is n at least -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + (4 - -1 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154 + -161. What is the units digit of 372\/((-6)\/1)*x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, m: 5, x: 2}. What is prob of picking 1 v, 1 m, and 2 x?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12678377 minus -0.75835?\nAnswer: -12678376.24165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(1100).\nAnswer: -5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -7)\/(48\/(-12) + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1464065401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**2\/2 - d. Let r = 11 - 5. Let n(w) = -7*w - r + 5*w + 4*w - w. Give n(l) - 6*z(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 140578099.\nAnswer: 14057809.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 13*w**2 - w - 1. Let j(x) = 1973*x**2 + 5*x + 5. Calculate -j(p) - 5*v(p).\nAnswer: -2038*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570419 is divided by 603.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 18*x**3 + 25*x**3 - 7 + 4*x - 42*x**3 + 7*x**2. Let p be m(-6). Solve -4*j = -9*j + p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1438771 * 0.4\nAnswer: -575508.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 3*c - 20, -3*j + c = -2 - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 7) to base 3\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18) + (-39)\/(-26).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/3 + 1. Let j(a) = 0*a**2 - 2*a + 2*a + 2*a**2 + 3*a**2. Calculate u(j(k)).\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 14, 19, 24, 29, 34?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*h**2 + 10*h**2 + 22*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/((-7)\/(-21)). Let p(w) = -4*w - 2. Let a be p(y). Solve -4*q = 5*l + 30 - 2, -a*l = q + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (0 + 1)) + (70\/(-3))\/(-5). What is the closest to f in 0.5, -4, 9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 35. Suppose f*p = 4*t + 112, 3*p - 4*t = 230 - 60. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-62)\/(-279) + (-30956)\/(-18)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:27 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = 2*r - 3*y, 2*r - y = 1. Let b(m) = -4*m + 15. Let c be b(-3). Suppose -4*h - 4*u = -3*u - 90, -h + r*u = -c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1102 = -5*z, z = -3*t - 0*z + 1653. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-4\/7)*c**(-1\/11)*(c**0)**(3\/4) assuming c is positive.\nAnswer: c**(26\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w - 2. Let z be -2*3\/(-12)*2. Let i be p(z). Let t(c) be the second derivative of c**3\/3 + c**2\/2 - c. Calculate t(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*c - 3 = 0, -3*c - 3 + 6 = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1731, 3458, 5185, 6912, 8639?\n\"Answer: 1727*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*253*(-8)\/(-1408)\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -14*c**3 - 8*c**2 - 8*c. Let h(u) = 5*u**3 + 3*u**2 + 3*u. Let w be (44\/(-6))\/((-50)\/(-15) - 4). Calculate w*h(g) + 4*a(g).\nAnswer: -g**3 + g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/96 and 83\/22693466.\nAnswer: 1089286368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*i**2 + 80*i**2 - 28 + 2*i**3 - 22*i - 2*i**4 - 129*i**2 + 24*i to the form x*i**4 + g*i + m*i**2 + w*i**3 + t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + c - 2*c**2)*(3*c**2 - c**2 - 3*c**2)*(6 + 11 - 11) as l*c + t + f*c**4 + d*c**3 + q*c**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/309)\/(92\/840). Let q = l - -7\/103. Let g = q - 137\/299. Is g bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9009 - 9008. Put n, -3, 166 in ascending order.\nAnswer: -3, n, 166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + 19 + -24 + 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*f + 57*f - 270*f**2 - 16 - 111*f wrt f.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -302*c**4 + 151*c**4 - 25 + 152*c**4 + 2*c as r*c**4 + t*c**3 + w*c**2 + f + g*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10\/11 - -305\/33. Let k = 417 - 815\/2. Find the common denominator of k and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -2 - (-56 - (-29 + -76))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*f. Let y(r) = 2*r + 2*r + 2*r + r**f - 1 + 0. Give y(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -325 + -446?\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 11. Suppose -3*t + t + 19 = -3*x, -5*t - 10 = w*x. What is the second derivative of -t*j + 0 - 4*j**4 + 0 + j**4 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + ba3383?\nAnswer: ba337a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1771 + 1773. Solve -4*a - 4 + 3 = -c, a = -j*c + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5685 - -5940. What is the second biggest value in -1\/11, s, 2\/11, 0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q**2 - q + 14. Suppose 0 = 6*r - 3*r - 12. What is the smallest common multiple of r and k(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (1 - 8) + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**3 - 3*d**2 + 3*d - 2. Let h(x) = 5*x**2 + 310 - 6*x - 10*x**3 + x + 316 - 622. What is -5*c(q) - 3*h(q)?\nAnswer: 5*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i. Suppose 0*x = x - 70. Let j(s) = 84*s - 35. Let f(q) = -60 + 119 - 62 + 7*q. Let c(y) = x*f(y) - 6*j(y). What is c(v(r))?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c3c8 (base 14) to base 7.\nAnswer: -1160141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44, -11, -82, -169, -272, -391, -526?\n\"Answer: -8*i**2 - 31*i + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 0 - 3 + 3 - 11*q + 13*q. Let h(n) = -70*n**2 - 76*n**2 - 20*n**2 - 68*n**2. What is c(h(j))?\nAnswer: -468*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*v + 5*s, -5*s + 15 + 15 = 2*v. Let r = 7 - v. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**4 + 2*s**4 + 2*s**4 + (-12*s**3 - 23*s**3 + 25*s**3)*(0 + 0 - s) + 0*s**4 - 2*s**4 + s**4 + (-2*s**2 + 0*s**2 + 0*s**2)*(s**2 - 3 + 3).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 717, 712, 717, 738, 781, 852, 957?\n\"Answer: a**3 - a**2 - 9*a + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -414539, -1658212, -3731017, -6632954, -10364023, -14924224?\nAnswer: -20313557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 21, 3\/8, -0.3, -0.5, -2, 0.02, 105?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-1)\/2)*44. Let z = 34 - i. What is the least common multiple of z and 12\/(-10)*1*-5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from nrnaz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -198, -304, -410?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -25. What is the remainder when 41 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 109*f**2 + 53*f - 106. Let p be d(-55). Solve -17 = -p*x + j, 22 = -0*x + 2*x + 4*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 0, 2, 5, -2\/15 in descending order.\nAnswer: 107, 5, 2, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -680595, -681616, -682635, -683652, -684667?\n\"Answer: l**2 - 1024*l - 679572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (15 + 34)*(-1624)\/(-2744)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1650*r - 17421 - 9571 = -686*r for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + w + 76, 0*t - 96 = -t - 4*w. What is the remainder when t is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 11 = -14. Suppose h*g = 2*a - 20, 3*a - 4 = g + 26. What is the third biggest value in -5, 3, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1775*m**4 + 80263*m**3 - m**2 + 3044277*m - 4?\nAnswer: -42600*m + 481578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(30\/8)*(8\/(-1))\/(-64)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263478.\nAnswer: 2, 631739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -439*p**4 - 300*p**2 + 385349?\nAnswer: -1756*p**3 - 600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3.47. Let m = z + -0.470012. Round m to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45.59 - -0.69. Let h = c + 45. What is the nearest to 1\/4 in -3\/5, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.25539 times 0.1?\nAnswer: 0.325539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 2*x - 6. Let f(n) = 13 + 0*n - 2*n + 5*n + 2*n**2 + n. Let t be 51\/4 - (-1)\/4. What is t*u(b) + 6*f(b)?\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/13840 and -29\/53.\nAnswer: 733520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 7*k**2 - 14*k + 39. Let c be s(6). Let x be (-40)\/30*c\/6. What is the highest common divisor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3582.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -193*k. Let f(z) = 67*z. Determine f(m(t)).\nAnswer: -12931*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:28 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -126172.42\nAnswer: -1766413.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 6*v**2 + 4*v + 5. What is the tens digit of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*o + k + 14, 0 = 2*o + 2*k - 16. Find the first derivative of 2*j**4 - 7 + o - 4*j**4 - j**4 wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9420219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*j - 19 = -348*j + 4*r, -3*j + 4*r + 37 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 108 = 2. What is the second derivative of v*t**5 - 11*t - 18*t + 22*t**5 - 3*t wrt t?\nAnswer: 660*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.345 times 18155\nAnswer: -6263.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**2 + 2*c**2 + 3*c**2. Let d(k) = -7*k**2 + 1. Determine d(j(l)).\nAnswer: -28*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 4:33 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -11, 1, 17, 37, 61?\n\"Answer: 2*g**2 + 2*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2. Let w(c) = -6*c**2 - 2*c. Let a(s) = -w(s) - 3*z(s). Let n be a(2). Suppose -3*v = -2*j - 4, v - n = -4*v + j. List 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 seventh root of 171637 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**2 - 865\/2 + 859\/2*c = 0.\nAnswer: -865\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*j + 74*j = -704. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -25*g**3 + 6*g**2 - 7*g + 5. Let z = 29 - 35. Let w(l) = 26*l**3 - 7*l**2 + 8*l - 6. Let m(o) = z*w(o) - 7*d(o). Calculate m(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + w - 74 = 0, t = -5*w + 35 + 11. Determine y so that -11*y - t*y**2 + 3*y + 12*y**5 - 33*y**3 + 4*y**4 - 3*y**3 = 0.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by 80?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (833*q - 111*q + 578*q)*(-5*q + 2*q - 4*q) to s + w*q + j*q**2 and give j.\nAnswer: -9100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 6. Let z be (-28)\/(-8)*-3*20\/(-21). Let r be (z\/(-15))\/(4\/(-18)). Let h be (r\/15)\/(15\/(-25))*9. Let x(s) = s - 5. Determine h*b(n) - 4*x(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -33202232033 (base 4) to base 16\nAnswer: -3e2b8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100206 is divided by 12646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 6*a**2 - 2*a - 7. Let f(o) = -2*o + 1. Let v be f(-18). Let x(t) = 13*t - 4. Let r be x(-3). Let l = r + v. Determine i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56.7 + 57. Let r be (5\/(-20))\/(303\/(-12)). Which is the second biggest value? (a) r (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4142 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-137)\/2)\/((-6)\/60) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -4. What is the common denominator of (164\/t)\/((-60)\/(-27)) and (-1)\/(-3) - (-65)\/66?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/8 - 16*u**3 - 369*u**2\/8 + 42849*u\/4 + 32130 = 0.\nAnswer: -119, -30, -3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18 - 2192*n - 26*n**4 + 2192*n wrt n?\nAnswer: -104*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*h**5\/13 + 584*h**4\/13 - 336*h**3 - 286108*h**2\/13 - 200446*h\/13 + 80724\/13 = 0. Calculate h.\nAnswer: -31, -1, 2\/7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 90. Let d be o\/(-10) - 49\/12. Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -96510 in -6, 0, -0.1, -4, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70404834 and 152543807.\nAnswer: 915262842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17.94 and 12357615399?\nAnswer: 12357615416.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 25*o**4 - 32170*o**3 - 10148520*o**2 - 972598240*o - 30423340160 = 0?\nAnswer: -92, 7814\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 2*b + 2*b + b - 4*b + (4*b - 2*b - b)*(-1 - 1 + 0) + 3*b - 2*b + 2*b)*(33 - 7 + 3).\nAnswer: 29*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10857 - -344. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*(-12)\/33\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.54 rounded to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*1\/(5\/(-2)). Let a be v\/(-2) + (-1 - (-44)\/21). What is the second smallest value in a, 5, 2, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 2*l - 60 = 0, -9*a - l + 63 - 6 = 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 14 = 21*f. Sort 0.046, f, 5 in increasing order.\nAnswer: f, 0.046, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1044 - 341. Suppose -3420 = 19304*o - 19484*o. Calculate the highest common divisor of o and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/10 and 7\/4218.\nAnswer: 21090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 11. Calculate g(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + 9933*g**2\/2 + 24822*g + 19856.\nAnswer: (g + 1)*(g + 4)*(g + 9928)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -n + 1. Let s be 3\/(((-27)\/n)\/(-3)). Sort 4, -5, s in decreasing order.\nAnswer: 4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3\/8 - 123*p**2\/4 - 5043*p\/8 = 0. Calculate p.\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 2*y - 3. Let f be w(-3). Solve 3 = -3*g - f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(133)*5*4*1)\/(sqrt(1008)*-1 + (sqrt(175) - sqrt(175)*-4 - sqrt(7))).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120 + 0)*((-8)\/18)\/(1350\/(-1215))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 2, j: 4}. What is prob of picking 1 j and 1 m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25182284 rounded to the nearest 10000?\nAnswer: -25180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*m - 14, 5*m = 7*m - 2*c + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = -16. Let n be 24\/492 + (-3172)\/(-533). Sort n, k, -2, 0 in decreasing order.\nAnswer: n, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.812 - 0.212. Which is the nearest to 1\/4? (a) -2 (b) v (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56767888.8 seconds in weeks?\nAnswer: 93.86225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuc when three letters picked without replacement from {n: 3, c: 1, u: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -3 + (30 - (89 - 39))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1543*j = 469*j + 54324 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1300, 0 in decreasing order.\nAnswer: 1300, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -706*l**3 - 4235*l**2 - 338*l - 2116. Calculate p(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/2 - 15*d**2 + 460*d + 960.\nAnswer: -5*(d - 12)*(d + 2)*(d + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-129)\/(-645))\/((-3)\/18)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/77 + ((-1920)\/(-55))\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**1*g*g*g)\/g)**(-5\/9)*(g*g**(-1)*g)**24)\/(g**5*g**(1\/2))**(-2) assuming g is positive.\nAnswer: g**(295\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j + 12*j + 11*j + 19*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19112, 2, -21, 215 in increasing order.\nAnswer: -19112, -21, 2, 4, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/1*(-3)\/9. Let l = 1.2 - 0.2. What is the third biggest value in l, 1\/4, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -192.6 and -3.\nAnswer: 577.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6cc (base 16) to base 8\nAnswer: -3314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**8\/20160 - n**5\/60 - 3*n**2. Let k(f) be the third derivative of w(f). Let a(v) = 3*v. Determine a(k(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*h - 63 = -1811 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14074346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147 + -145. Let v(t) be the first derivative of 0*t**3 - 1 - t + 1\/4*t**4 + 0*t**j. Differentiate v(m) wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -193*k + 12 - 2 - 12 as n + x*k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-1330))\/(1\/(-5) - 0). Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -445 divided by 2877\nAnswer: -445\/2877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 n when three letters picked without replacement from {n: 1, g: 2, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 55. Let v(b) = b**3 - 2*b**2 - 7*b - 8. Let x(o) = o**3 - 3*o**2 - 6*o - 7. Let a(p) = -2*v(p) + 3*x(p). What is a(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, q: 3, p: 11}. What is prob of sequence pqhh?\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usttmtxsxqtx. What is prob of picking 1 x, 1 q, and 1 u?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9349*v + 1096*v + 9957*v + 1613*v - 2131*v.\nAnswer: 19884*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -669*r**2 + 1482*r**2 - 629*r**2 - 281*r**4 wrt r?\nAnswer: -6744*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 2079.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52677 - -0.02677. Suppose 0 = 4*i + i + 15. Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 4\/3 (c) 0 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 + 257. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1044696, -2089420, -3134176, -4178964, -5223784, -6268636, -7313520?\nAnswer: -8358436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 5*s**4\/24 + 3*s**2\/2 - 12*s. Let w(r) be the first derivative of c(r). Let b(x) = 7*x. Calculate b(w(v)).\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1484 - 2471. Let p = 660520 - 659532.138. Let h = p + c. What is h rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**5\/3 + 376*o**4 - 2948*o**3\/3 - 1781472*o**2 - 43077312*o = 0.\nAnswer: -36, 0, 97, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1547447 is divided by 6422.\nAnswer: 6167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3562, 3576, 3590, 3604, 3618, 3632?\n\"Answer: 14*c + 3548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/12 + 2*w**3 + 14*w**2 - 788*w. Determine f so that v(f) = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56732 by 13.\nAnswer: -4364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 10*q + 16. Suppose -2*v + 5*f + 1 = 0, -4*v + 3*f + 9 = -0*f. Calculate the remainder when a(-5) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106532\/15 - 7102. Which is the closest to 0? (a) n (b) -0.3 (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a minute in seconds?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(275) + 1 - (sqrt(66)\/sqrt(6) + 5)*-4)**2 + 4.\nAnswer: 414*sqrt(11) + 1424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/35))\/((f**(-23)*f)\/f) assuming f is positive.\nAnswer: f**(842\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2226 + 2225.98. Let u = -0.4 - 3.6. Let v = u + 3.7. Which is the closest to j? (a) 0.5 (b) 1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1576\/40 + 6\/10. Suppose 2*z - 4*h - g = 0, 0*z - z + 32 = -5*h. Solve -b = -4*b + z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**2 + h + 1. Suppose -4*f = -3*k + 12, -5*f = 5*k - 8 - 12. Suppose 0*j = -4*j - k. What are the prime factors of u(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 412 and 4.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 + -68. Suppose -f - 4*l = -n + 3, -f = 2*l - 14. Let q(i) = -f*i**2 - 12*i**2 + 14*i**2. Let y(t) = t**2. Give y(q(r)).\nAnswer: 400*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**4 - 9*m**3 + 4*m**3 - 3 + m**2 + 3*m**3 + 2 to z*m**2 + v*m**4 + l*m**3 + t*m + w and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2 + 7*i - 3 + i**2 - 6 + 2*i**2 + 12. Let c be t(-4). What is the greatest common divisor of 33 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 1. Let f(c) = -6*c**2 + 12*c - 3. What is f(h) + 4*l(h)?\nAnswer: 2*h**2 + 12*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h. Find the common denominator of (-2353)\/(-1170) + (4 - 34\/10) and (h - 87\/(-30)) + 0.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 2\/413 (c) -5411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3369 = q, 2*q = 7*q. Suppose -5*d - 3*c = -4*c - g, 3*c = -3*d + 681. Let i = d + -126. What is the remainder when i is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -14*i + 42. Factor 4*g**i + 83 - 12 + 41 - 26*g - 18*g.\nAnswer: 4*(g - 7)*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 3) + (7 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 84 = -3*c - c, -5*d + 3*c + 88 = 0. Suppose -22 = -3*r + 26. Solve 4*v - 3*b = -r, 5*v + 3*b - 8*b = -d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 7*s**2 - s + 8. Let q be m(7). Let f be (-198)\/11*2\/(-6)*q. Let r(t) = -t**3 + 8*t**2 - 14*t - 5. Let b be r(f). Which is smaller: -15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-14 + 8)) + -9 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 59*l + 20 = 64*l, 5*h + 20 = -2*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8025, 3, 33 in increasing order.\nAnswer: -8025, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -0.347?\nAnswer: -0.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*p - 164*p = 12. Let m(l) = 12*l**2 - 15*l + 34. Let t(w) = -7*w**2 + 7*w - 17. Let c(v) = p*m(v) - 5*t(v). Determine c(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-2)\/(-2) + 0. Let q be ((-220)\/8)\/11 - (-2)\/4. Let m = q - b. Is m smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8472852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55 - 546*m + 27 + 28)*(-2*m + 0*m + 1 + m)*(-3 + 4 + 2) to s*m**2 + k + c*m and give c.\nAnswer: -1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 12) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(2\/5)\/b*b)\/b)*b)**(1\/3))**(22\/3)\/((b*(b**(-2\/7)\/b)\/b*b)**13*(b\/(b*b**(-2\/15)*b))\/b**0) assuming b is positive.\nAnswer: b**(689\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nppn. Give prob of picking 2 p and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * -469.\nAnswer: 19698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - ((0 - -3) + -89). Suppose 4*m = -3*m + y. Calculate the remainder when 408\/9 - 1\/3 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 9. Let b be i(8). Is ((1 + -2)*2 - -373)*b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716578597 rounded to the nearest 1000000?\nAnswer: 717000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -6 - ((-39 - -13) + 5 + 8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 + 72 = -6*q. Let g = q - 21. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 60172 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1057 + -715. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 451446 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 next term in -11297, -11255, -11203, -11135, -11045, -10927?\nAnswer: -10775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 63. Calculate the lowest common multiple of z and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtjs when four letters picked without replacement from {t: 2, s: 1, o: 2, g: 6, j: 3}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4949.3 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 21 = -11*a - 3*b, 5*a - b = 5. Solve 2 = -q + 2*x, a*q + 0*x - 2*x + 6 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -1.8. Let c = 0.2 + h. Let x = 7 + -6. Sort c, -2\/15, x.\nAnswer: -2\/15, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -482\nAnswer: 14\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-12) - (-745)\/(-180) and 714\/(-180) - 2\/(-5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 6*x**2 - x. Does 4 divide z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 5132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 42\/5 of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 572 and 1833.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -36, 5, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1 - 1) + 3097 + -3100?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*z + 1 = 0, -5 = -5*c + 2*z + 12. Let l be 795\/3*3 - c. Suppose y = 5*y - l. Calculate the highest common divisor of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 714140*j**3 + 25499082830*j**2 - 51000308100*j + 25500511125.\nAnswer: 5*(j - 1)**2*(j + 71415)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120 or 10424?\nAnswer: 10424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 m when three letters picked without replacement from petmzmepttte?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -7, -30, -65, -112, -171?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7495 is divided by 1146?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144946 and 67712?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 1*(5\/(-10)*0)\/((-5)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.325 and 45?\nAnswer: -59.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -1465, -4868, -11527, -22534, -38981, -61960?\nAnswer: -92563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (131 - 85) + -51 + 2 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1726842.3 rounded to the nearest one thousand?\nAnswer: -1727000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*v**3 - 91*v**3 + 46*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 1 (c) -1\/5 (d) 11.6 (e) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p + 27. Let d(q) = q**2 - 25*q - 1814. Let i be d(-32). Calculate f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 + 6*a + 6. What is i(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 - 3*(11 - 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 5*q + 18. Let v be s(-5). What is the greatest common factor of v and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*f**4 + 124*f - 39*f**2 + 21\/4*f**3 - 144 = 0.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1, 823?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032)*5*-2)\/(4*3*sqrt(9)*-1)*2.\nAnswer: 40*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(98)*-1 + sqrt(98)) - (-1 + sqrt(2) + 1) - (sqrt(32) + -1)*5.\nAnswer: -20*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 59 + 4*x**2 - 57 + 105.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/20 - 1\/(-5). Suppose 5*s - s - 14800 = q. What is s rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*v - 303 - 457 = -48*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -51*r - 7. Calculate i(-5).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -2.724514.\nAnswer: -8.173542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -12\/1531, 405.\nAnswer: -12\/1531, 0.4, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*14\/(-294)*58\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:10 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*s**4 + 2137*s**3 - s**2 - 345500*s - 2?\nAnswer: 312*s**2 + 12822*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 8*k - 6. Let y be i(-7). Let w = y + 4. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -114 + 14 + 0 + (-8 - -11 - 7).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 12*j**2 + 57*j - 84. Is 72 a factor of t(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25, -3, 10.\nAnswer: -3, 1, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*y**2 + 4 + 41*y**2 + 0)*(2*y - 3*y + 3*y).\nAnswer: -10*y**3 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-21) + (-91919298)\/42. Suppose 2*h + 3*r + 864373 = -2112743, 1488547 = -h + 4*r. Let z = h - i. What is z rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18172707 (base 10) to base 5\nAnswer: -14123011312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-78) + (-102)\/(-442).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - d**2 - 2*d**2)*(3*d - 5*d - d) + d**3 + d**3 + d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*j**3 - 22287 + 22287 + (-4 + 4 + 2)*(-4*j**3 + j**3 + j**3).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5766080 and 4.\nAnswer: 5766080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 2. Let i be k(5). Suppose -i*p = -4*p + y + 30, -5*y + 100 = 5*p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3532 + 7743. Which is smaller: 2\/5 or w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-6)\/(-8) - (-6)\/(-8). Suppose -k + 115 = 4*k + 5*b, 0 = 3*k + 4*b - 72. Suppose 3*t = -5*s - 20, t + 0*t - k = 5*s. Solve p = -w - 4 - t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 40 - -28 - 24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1041715 or 1041632?\nAnswer: 1041715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:34 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*a + 21 = 5, 0 = -4*d - 2*a + 14. Suppose -2*c + 10 = d. What is the common denominator of -53\/10 and 153\/(-48) - (-2)\/c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*l + 13 - 23, 5*r - l + 8 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**3)**38)**(-1))**34 assuming g is positive.\nAnswer: g**(-3876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l - 14 = 31*l - 4*i, 2*l - 13*i - 1 = -12*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 4278024.1.\nAnswer: -855604.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*f - 14 - 0, -4*f + 20 = -4*c. Find o, given that -o**4 + 0*o**4 - 2*o**4 + 3*o - 9*o**2 + f*o**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (79\/(-158))\/((-1)\/466)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 + 11*c + 554. What is x(-19)?\nAnswer: -1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/3446 and 55\/55136?\nAnswer: 55136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n**3*s + 6*n**3*u**3 - 19*n*u**3 - 81*s*u**3 - s wrt s.\nAnswer: n**3 - 81*u**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/15 - 248*c**2\/15 + 98*c\/3 - 244\/15 = 0. What is c?\nAnswer: 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-64)*-12 - (-255)\/(-40). Which is the nearest to -1? (a) j (b) 4\/3 (c) -3\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 12*p**2 + 25*p - 30. Let s = 319 - 333. Let l be f(s). Solve -18 - 30 = l*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1*k)**(-2\/35))**(4\/3))**(13\/3) assuming k is positive.\nAnswer: k**(-104\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7831.68l?\nAnswer: 7831680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.48788 nanometers to millimeters.\nAnswer: 0.00004348788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3447, 13760, 30947, 55008?\n\"Answer: 3437*r**2 + 2*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007222 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**3 + 67*u**2 + 1603*u + 17513. Calculate b(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000101 (base 2) in base 7?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 - 8*p**3 + 4*p = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5529.466.\nAnswer: 5526.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*f + 375*f = -7840 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-29 - 22)) + -6 + 22.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 20. Suppose -p + h = -5. Calculate the remainder when ((-22)\/(-4))\/(12\/24) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18547, 37759, 57599, 78067?\nAnswer: 99163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 40*n + 1534. Let a be h(64). Sort a, 2\/109, 9 in ascending order.\nAnswer: a, 2\/109, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 162 - (18 + -8) - (5 - 0). Let h = w + -141. What is the least common multiple of h and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -16*r + 21. Let g = 19 + -31. List the prime factors of m(g).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 13, -3\/10, 8\/797 in ascending order.\nAnswer: -2, -1, -3\/10, 8\/797, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 3.61\nAnswer: 1.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29543 + 26292.\nAnswer: -3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-14 + 77)) + -11 + 0 - -13.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 10. Let k be i(10). Suppose 0 = 2*a - k - 4. Calculate the remainder when 32 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162.649+218\nAnswer: 380.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2 - 1*-5)\/1. Solve -2*h - 5*t = -3*t - y, -2*h + 5*t = 29 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831480.1 kilometers in nanometers?\nAnswer: 831480100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 317460 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 0. Let z be q\/(-4)*8\/2. What is the third derivative of f**2 + 2*f**5 - 2*f**5 + z*f**6 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j + 5. Let z(q) = -72*q - 45. Let d(b) = 9*l(b) + z(b). Let o = -10 + 15. Let f(a) = 19*a. Calculate o*d(n) + 2*f(n).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 minus 22462?\nAnswer: -21612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 4*y**2 + 7*y + 20. List the prime factors of j(-11).\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from eqqdq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**6 - 68664002*u**4 + 192*u**2 + 127541*u + 1 wrt u?\nAnswer: -360*u**3 - 1647936048*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217\/4 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34774 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 11*h + 12. Let v be j(12). Suppose v*d = -2*d - r + 427, 5*d + 3*r = 1070. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (1 - -3) + 1 + 17 + -25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -19*l**4\/12 - 5*l**3\/3 + 28*l**2 - 8*l - 306. What is the second derivative of w(o) wrt o?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*y**5 - y**4 + 670*y**3 - 98*y**2 - 13686.\nAnswer: 1200*y**2 - 24*y + 4020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b1 (base 15) to base 16\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634 divided by 7?\nAnswer: 2634\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 0*i**2 + 0*i**3 - i - 2 - i**3. Let f be a(-2). Suppose -3*b + 12 = f, 4*k - 55 = k - 4*b. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*u + 18 = -c, -3*c = -3*u + 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.457 rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1128 - 55. Let j = 1565 - s. Suppose 0 = 5*l + 10, i - 3*i + 3*l = -j. What is the remainder when i is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96.12867 millilitres?\nAnswer: 0.09612867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -15*z**3 - 33*z**2 - 3*z. Let x(f) = -15*f**3 - 32*f**2 - 4*f. Let r(y) = -4*c(y) + 3*x(y). What is the third derivative of r(o) wrt o?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*x - 17041470 + 17046009 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0077122334 rounded to 6 decimal places?\nAnswer: 0.007712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-348)\/(-35) - (-2)\/(-6)*30\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*3.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3469?\nAnswer: 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/33 and 125\/59308206?\nAnswer: 652390266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g - 4*g + 20 + 2*g + 5*g + 4*g. Calculate h(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 284880682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 8:29 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88, 92, 92, 88, 80, 68?\n\"Answer: -2*y**2 + 10*y + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/((-1)\/(-9)). Suppose 26 = -n + q*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - sqrt(102)*3*4)\/(-2*3*sqrt(6))*5.\nAnswer: 55*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-8)\/(-12)*-3 - 45\/33*-11\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 7 = -70. Differentiate 148 - 106 + 11 + 61*m + 224 + d*m with respect to m.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b + 0 + 0*b**3 + 0*b**4 - 1\/15*b**5 + 3*b**2. Let q(v) = -21 - 19 + 40 - 4*v**2 + 5*v**2. What is g(q(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 3. Let i be t(-3). Suppose i = -4*q - 5*k + 439, 3*q - 554 = -2*q - k. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.029509698 to 3 dps.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - (-9 - 33)) + -2 - 9 - -5) + 10.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 25 = x, 5*x = -3*k + 2*x + 30. Let a = 2 - k. Let h be 3\/(-4)*12\/a. Solve -p = 3*p + 5*v - 5, 5 = h*p + 4*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 4, b: 4, p: 1, n: 2, l: 1}. Give prob of picking 1 m, 1 p, and 2 b.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duuupeujdpdjduudedud. What is prob of picking 2 j?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*1)**2*-4 - (sqrt(1700) + 1 + 5 + sqrt(1700))**2.\nAnswer: -10168 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 2*g)*(-31 - 23 + 12)*(1 - 4 + 2)*(-6 + 1 + 2).\nAnswer: 252*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 9*n = 108. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*u + 573, -2*u - 232 = -2*s + 2*u. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2420 smaller than -2419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (16 + 23)) + 92 + 7.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401441321 (base 5) to base 4.\nAnswer: 12010333320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1250 and 3540?\nAnswer: 442500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1551019 + 41884184\/27. Let p = 247 - c. Is p at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -1343, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 2) + (6 - 15). Let r(y) = -y**3 - 2*y**2 + 3*y - 1. Suppose -26 = -23*v + 10*v. Let f be r(v). Which is greater: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(99) - sqrt(99))*1 - sqrt(99))\/(sqrt(81)*-1) - (sqrt(1331) + -5 + sqrt(1331)*-3 + sqrt(1331) + -3))**2.\nAnswer: 544*sqrt(11)\/3 + 13292\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1897002406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (393 - 373) + 48 - 13?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*n**5 + 292*d**3*n**3 + 18*d**3*n - 13*n**2 wrt n.\nAnswer: 120*d**3*n**2 + 1752*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 31*k**2 + 62*k + 1. Determine a(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235324384 to the power of 1\/3, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19784*f + 19252*f = -20748 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 28*z - 84*z**4 + z**3 - 6*z**2 + 85*z**4 + 26*z as q + l*z + m*z**4 + b*z**3 + j*z**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80319243 and 1878?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 95895, 0.3?\nAnswer: 95895","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 171*t**2 + 8375*t + 31. Calculate y(-49).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*c**2 + 56*c**2 - 364*c**2 + 52*c**2.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/17563 and -20\/82797?\nAnswer: 579579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*z**2 + 82 - 3*z + 8*z - 4*z**3 + z + 6*z**2 - 4*z wrt z?\nAnswer: -24*z - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952892653 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.0336047 + -0.0336047. Suppose 1148 = -3*x + 7*x. Which is the second biggest value? (a) x (b) l (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 3*p - 1. Let o(s) = -3*s - 1. Give -2*j(h) + 3*o(h).\nAnswer: 2*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (9 - (4 + 10) - (-2 + 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9706974 divided by 3235658\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113583, 113585, 113587?\nAnswer: 113589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awh when three letters picked without replacement from {w: 7, a: 11, h: 2}?\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 5*a**6\/2 - a**5\/20 + a**3\/3 + 27*a**2\/2 - 2*a + 52. Find the second derivative of c(x) wrt x.\nAnswer: 900*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6239554.\nAnswer: 2, 1327, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 5*d**4\/4 - 5*d**3\/3 - 5*d**2 - 1. Find a such that k(a) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 2*g - 552 + 518, 5*g - h - 29 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 168?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12341, 42084, 91655, 161054, 250281?\nAnswer: 359336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -753.8 + 828. Let p = 74 - z. Let g = -251 + 2767\/11. Which is the nearest to 0? (a) g (b) 1\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169028 divided by -4.\nAnswer: 42257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:31 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -58854.1 to the nearest one thousand.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295 - -211. Let c be (-1)\/((-20)\/x) - -4. Let v(r) = r - 6. Let h be v(8). Put 1\/5, h, c in descending order.\nAnswer: h, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*q - 13*q - 6*q**3)*(-2*q + q + 0*q) in the form p + b*q + g*q**3 + h*q**2 + m*q**4 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -5530\nAnswer: 3\/5530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 937000 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**3 - 17*s**2 + 5*s - 5. Let n(h) = -15*h**3 + 37*h**2 - 11*h + 10. Let w(c) = 13*d(c) + 6*n(c). Calculate w(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0588499656 rounded to 4 decimal places?\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67.945 - -68. Let g = -0.055 + i. Put -23, g, -4 in descending order.\nAnswer: g, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -520.7969?\nAnswer: -260.39845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234 - 12?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g**2 - 2608*g - 2 + 2608*g.\nAnswer: -21*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1552 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/28 + (-342)\/(-14). Let p be (g\/21)\/((-2)\/(-7)). Put p, 2\/7, 1 in decreasing order.\nAnswer: p, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 11. Let y be r(3). What is the third biggest value in 0.4, y, 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 523 + -214673064\nAnswer: -214672541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.2108834 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 5*o**6\/24 - 349*o**5\/6 - 1975*o**4\/3 - 960*o**3 + 3543*o**2. Solve j(f) = 0 for f.\nAnswer: -4, -2\/5, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178149973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*f + 126 + 215 = 0, 0 = -2*f + 4. Calculate the remainder when c is divided by 75.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4015*f + 68460. Determine j(-17).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 39*q**2 - 18*q - 15. What is the least common multiple of 20 and a(19)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -743 + 748 - (-1 + -4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -2*l**7\/21 - 7*l**5\/20 - 18*l**2 - 13. Let j(r) be the second derivative of c(r). Find the third derivative of j(h) wrt h.\nAnswer: -480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-30)*-15*(-6)\/48*-8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733\/5162 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 23*l**3 - 5*l**2 + 7*l - 2. Let o(y) = 23*y**3 - 6*y**2 + 8*y - 1. Let x(w) = -2*o(w) + 3*v(w). What is the second derivative of x(u) wrt u?\nAnswer: 138*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9834283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*g - 439*g - 8 + 8.\nAnswer: -577*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661813 is divided by 26887.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, l: 2, y: 7, o: 1, k: 4}. What is prob of picking 1 l, 1 y, and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 32)*(-4)\/(-8). Let d = b - -5. Let l(s) = 7*s**2 - 11*s. Let a(v) = 4*v**2 - 6*v. Calculate d*a(i) + 6*l(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3989 - 2017. List the prime factors of k.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -m - 325, -2*g = 3*g + 5*m - 375. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 8:08 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 - -1. Let l = -0.6 + -3.4. Which is the third smallest value? (a) n (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388 divided by -2.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.263215 to three decimal places.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 1389 = 2*u + 1419 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46855 - -184981\/4. Let b = -6723\/565 + -9367601\/15820. Let p = u - b. What is the common denominator of 85\/4 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*u = -71*u + 165*u - 7252 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1218, 1220, 1212, 1194?\n\"Answer: -5*z**2 + 17*z + 1206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34648 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -163 (b) 0.1 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27977 - -29727. Calculate the greatest common factor of y and 1125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42\/13 (b) 463 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24840\/(-1008) - -30 - 7\/(-2).\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9872963 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1761*h = -1740*h - 2314 - 920. Solve -50*u - 146 = h for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -9. Suppose 6 - l = f. Let w = 1 + -2. Sort f, w, -5.\nAnswer: -5, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 69, 131, 189, 243, 293, 339?\n\"Answer: -2*o**2 + 68*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*a**3 - 72*a**3 + 217*a**3 - 77*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 343*v + 318*v = 58 + 363, l + 0*v - 30 = 2*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188\/(-46))\/(2118\/24357)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w + 138. Let t(d) = 2*d - 2. Determine -r(y) - 5*t(y).\nAnswer: 2*y - 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448))*-1 - ((sqrt(2448) - (0 + sqrt(2448)))**2 + -1).\nAnswer: -12*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 254898*g**2\/5 + 1428*g\/5 + 2\/5 = 0.\nAnswer: -1\/357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*h - 19, -3*h = 4*k - k + 3. Let w(z) = -3*z**2 - k + 2 + z**2. Let c(r) be the third derivative of r**5\/15 + 4*r**2 - 25*r. Give w(c(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-1 + (0 - -2)). Let p(o) = -2*o**3 - o**2 - o - 1. Let r be p(q). Let h = 1436 - 1420. Solve r = 3*c + h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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 x = 3087 + -24793\/8. What is the common denominator of x and ((-1)\/8)\/(1\/202)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260533 or 260534?\nAnswer: 260533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -6047672?\nAnswer: -6047711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -1.2. Let r = -29888\/7 + 4270. Which is the closest to 1\/2? (a) 0.4 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2039923\/2072889 - -1\/32903. Find the common denominator of o and 39 + (-5616)\/91 + 24.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:21 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcbb. Give prob of picking 2 b and 1 c.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2393*m**2*x**3 - 2*m**2*x - 6450*m*x + 33*x**3 + 2*x + 2 wrt x?\nAnswer: 14358*m**2*x + 198*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 3*h - h)*((-3 + 4 + 1)*(-h + h - 2*h) - h + 2*h - 3*h).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/256*-48 + 10\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193 by -4.\nAnswer: 193\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**4 + 144*o**3 - 268*o**2 - 144*o + 272 = 0.\nAnswer: -1, 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 35 - (0 - (1 + 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-127*v**2 + 43*v**2 - 554*v**2 - 165*v**2).\nAnswer: 803*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132430223 + 0?\nAnswer: 132430223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140 + -154.5. Let o = f - -16.5. Put -5, 0.09, 2\/15, o in descending order.\nAnswer: o, 2\/15, 0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674643 is divided by 15686.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 7*q - 14*q. Suppose -2*n - q*s = -1990, 0 = -25*n + 22*n + 3*s + 2955. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.46.\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 14*y + 226. What is m(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3053, -5988, -8907, -11816, -14721?\n\"Answer: -f**3 + 14*f**2 - 2970*f - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -685, 208, 1 in decreasing order.\nAnswer: 208, 1, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*q + 34, 0*z - q = 4*z - 32. Let m be 99\/21 + 2\/z. Let -34*d**5 + 92*d**3 - 24*d**4 - 8 - 28*d + 8*d**2 + 2*d**m - 8*d = 0. Calculate d.\nAnswer: -2, -1\/2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 5*y - 2. Let a be c(5). Let d = 3 + a. Suppose 4*q - x = 180 - 162, 4*q = 3*x + 22. Put d, 2, q in decreasing order.\nAnswer: q, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2\/6 - 10*q\/3 + 25\/6.\nAnswer: -5*(q - 1)*(q + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v - 15*v**2 - 5*v - v. Let j(l) be the third derivative of 3*l**4\/8 - 13*l**2 + 5*l. Determine h(j(d)).\nAnswer: -1215*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 479 and 11334577?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.233 + -101099?\nAnswer: -101099.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + -2*(sqrt(7) + sqrt(175))).\nAnswer: -36*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 12603.1?\nAnswer: 12603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from ddpnarpadxadnddddd?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 11*y - 8. Let i(c) be the first derivative of -7*c**2\/2 + 5*c + 1. Let o = -7 + 12. What is o*n(g) + 8*i(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 763.\nAnswer: 763.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62545185 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -493*r - 3947. Determine a(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5042, -5017, -4990, -4961?\nAnswer: -4930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -185, -81, 43, 193, 375, 595, 859?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5300007 divided by 431?\nAnswer: -12297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(-452*n**5 + 653*n**5 + 796*n**5).\nAnswer: -3988*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16175.1 times 3\nAnswer: 48525.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 - ((-45 - 10) + 39 - (-23 + -2)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1742, -7036, -15858, -28208?\n\"Answer: -1764*r**2 - 2*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5174.12322 minutes in weeks?\nAnswer: 0.513305875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151.371 + -151.431. Let x = 0.2 - 0.19. Sort -4, j, -0.4, x in ascending order.\nAnswer: -4, -0.4, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpoqqppqo. What is prob of picking 2 p and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*a = -10, 5*w + 8*a - 60 = -104 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + -64. Let d = 110 + l. Let r be 1\/(-3*(-3)\/9). Calculate the highest common factor of r and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4327*a + 2531290. Give t(585).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1634159326 - 0.1\nAnswer: -1634159326.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*s + 21*s - 64*s)*(-3*s + 0*s + s) to x*s + i*s**2 + w and give i.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -56, 0.4, -5, 0.3687?\nAnswer: 0.3687","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/1781, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3626 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -124717 - 0?\nAnswer: -124717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 3007?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 4. Let u(t) = t + 2. Let h = -86 - -81. Let d(n) = -n**3 - 4*n**2 - 16. Let b be d(h). Determine b*u(q) + 4*g(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 17 - 52) + 32\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**6\/120 - y**5\/30 + y**3\/6 + 2*y**2. Let v be d(1). Suppose v = -2*c + 7*c - 30. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 - 0 - (3 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u + 15. Let r be q(0). Suppose r*x - 136275 - 54225 = 0. Round x to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = 1064. Let w = t - 2125\/8. Let a = -45 - -44. Sort a, w, 8 in decreasing order.\nAnswer: 8, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5198?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 21 = 6*c + a, -c - 5*a = 15. Suppose t + f = 5*t - 20, -c*t = 5*f - 25. What is the remainder when t is divided by (-6)\/3 + 1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 1\/4, 3, 2, -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:12 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110426 is divided by 32792.\nAnswer: 12050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -590.99999439 + 591. What is u rounded to seven decimal places?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4242 - -11524?\nAnswer: 15766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 75\/27 - (-2)\/9. Suppose -w*o + 8 = 2. Find the third derivative of 4*l**2 - l**3 - l**o - 5*l**2 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + f + 12, 5*f - 4*f = 0. Suppose -3*g = 2*n - h, 4 = n + n - 3*g. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -28*p**2 + 778*p + 353. What is u(28)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (204\/(-714))\/((-1)\/49*2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 348 or 346?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31067?\nAnswer: 47, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {m: 5, p: 1, l: 2, x: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.45 - -0.25. Which is the closest to 0? (a) -1 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p + 4*c - 24, -31 = -2*p + 3*c. Factor -6*s - 33*s**4 + s**3 - 11*s**3 + 35*s**4 + p*s**2.\nAnswer: 2*s*(s - 3)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2958)\/156 + (-2)\/(-4). Let m = 654\/65 + a. Let w = -1532 + 1525. Is w >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 2*x + 2. Let w be i(2). Suppose 7 = -r + w. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 141*f = 146*f + 2, 3*b = f + 10. What is h in -2*h**3 - 8\/13*h**2 - 10\/13*h**b + 0 + 8\/13*h = 0?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 10*n**2 + 9*n + 5. Let g be ((-1)\/1)\/(1 + 0). Let j be (-9)\/(-2)*(-1 + g). What is the units digit of c(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8773686.49 to the nearest one thousand.\nAnswer: -8774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2 - 5*h - 2. Let t(n) = -7*n**2 - 6*n - 3. Let z(p) = 3*t(p) - 4*w(p). List the prime factors of z(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(304)*-1 + (sqrt(2736)*-1 - sqrt(2736))*4)*-3.\nAnswer: 9 + 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 39. Sort -1, b, -4, 1.\nAnswer: -4, -1, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-1 + -32 + 14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 189325566 to the power of 1\/2, to the nearest integer?\nAnswer: 13760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -18*w + z + 360, -3*z + 360 = 4*w. What is the smallest common multiple of w and 14?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - (-91 + 28 - -28)) + 87.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w + 3276 = -129*w. Let f(o) = -o**3 - 18*o**2 - 4*o - 60. What is f(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.362963 millilitres to litres.\nAnswer: 0.000362963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 2*d**2 - d**4 + 3*d + 2*d**2 to z*d**4 + c*d + p*d**3 + m*d**2 + a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 124, 182, 240, 298?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2*b**3\/3 + 797. Let m(u) = -181*u**2. Give w(m(d)).\nAnswer: 65522*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.00000176 - -20. What is o rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -7\/20*w**5 + 0 + 1\/20*w**6 + 1\/2*w**4 - 2*w**2 + 0*w + 2*w**3. Find x such that g(x) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + -1 - (16 + -11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/((-1408)\/990)*(380\/(-200))\/19.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 - 3370*u\/3 + 30573.\nAnswer: -(u - 27)*(u + 3397)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.19107 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.1 - -7. Put 1, f, -5, 3 in increasing order.\nAnswer: -5, f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -7. Let j(q) = -6 - 9*q + 1 - d. Does 9 divide j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 38*t - 209. Calculate y(-7).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -25 (c) -0.1 (d) -2\/13 (e) -3 (f) -1161\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215 - -544. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2099*z - 744986. Determine b(-355).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1166 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 1 s when three letters picked without replacement from jjsxsrojjjsorsjoj?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 166 - 160. Calculate the remainder when 39 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.87052 to one dp.\nAnswer: -86.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 6a3b7c?\nAnswer: -6a3b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10054)\/5027)\/((-2)\/(-44)*(-12)\/21).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209 + -193. What is m in -11*m**2 - k + 18*m - 7*m**2 + 2*m**3 + 8 + 6*m**2 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -2. Suppose -x*v - 9 = -2*h, -h + 3*v = -v - 6. Solve -4*i - 21 = -j - h, j = 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*j**2*t - 2*j**2 - 1120*j + 35443*t wrt j?\nAnswer: -8*j*t - 4*j - 1120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 656*p + 15595. Calculate y(-23).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5, 2*d + 2*d + 4146 = -y. Let k = 20244\/5 + y. Let c = k - -77. What is the biggest value in 0.4, c, 0.02?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + 2*j)*(-1 - 1 - 4)*(-8*j - 5*j + 6*j).\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.4 (b) 0.2 (c) -1.659\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -101111?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3528\/490)\/((-6)\/10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3\/7, -2\/9, 5, 105499 in descending order.\nAnswer: 105499, 5, -2\/9, -3\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 16*g + 84 = 0. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 281611185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 14*w**2 + 4*w - 18. Suppose -5*k - 11 = 54. Let c be o(k). Suppose j = -2*j + c. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 25*b - 57. Suppose b*m = -5*z + 1027 + 167, 0 = 5*m - 15. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -103*u**2 - 6812*u - 3878297. Let m(t) = -93*t**2 - 6813*t - 3878298. Let f(y) = -9*j(y) + 10*m(y). Suppose f(i) = 0. Calculate i.\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -a - 3, -4*l = -5*l - 4*a + 15. Suppose -l*g = 2*c - 37, -c + 20 = g + 7. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 391869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (84 - 101 - 200)*(-3 + 2*f + 3) as h*f + q and give h.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -274232*n**4 + 144134*n.\nAnswer: -3290784*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c - 8. Let i(x) = x + 1. Determine 6*i(v) + r(v).\nAnswer: 12*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74, 296, 666, 1184, 1850, 2664, 3626?\n\"Answer: 74*v**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/68)\/((560\/840)\/(15\/(-9))))\/(-1)\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1463 and -12728.\nAnswer: 1862.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 30. Calculate the remainder when g is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 divided by 175401?\nAnswer: -101\/58467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**4 + a**4 - a**4)*(4 - 1 + 1) + (0*a**3 - 2*a**4 - 2*a**3 + 0*a**3 - a)*(-3 + 9 + 2) to y*a + j*a**2 + g + f*a**4 + m*a**3 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8928, -8900, -8854, -8790, -8708, -8608?\n\"Answer: 9*d**2 + d - 8938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/2))**(-2\/13)\/((h\/h**(-3))\/h**(-3\/2))*(h**(1\/4))**(-29)\/(h**1)**14 assuming h is positive.\nAnswer: h**(-1403\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 2, r: 1, z: 2, w: 1, v: 1}. Give prob of picking 1 t and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/6*4\/3. Let b be ((-2)\/(-2))\/((-2)\/f). Let j(h) = h**3 - 6*h**2 + 6*h - 3. Let l be j(b). Solve l*s - 6*s - 5*n - 30 = 0, 13 = -3*s + n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468749809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 125*d**4\/7 + 746*d**3\/21 - 4*d**2\/7 - 1570*d. Factor o(w).\nAnswer: 4*(w + 1)*(375*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598732492 a multiple of 9869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(sqrt(1053) + -2)**2 + sqrt(1053) + -1 + ((sqrt(1053) - (sqrt(1053) + sqrt(1053) + 1 + sqrt(1053))*-1)**2 - (-3 + (sqrt(1053) + 1)**2))).\nAnswer: -126492 + 702*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -2\/5 (c) -7 (d) -156 (e) 29\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/(1\/(-3)) - -189. Let k be (-2668)\/14 + (-2 - -3). Let z = k + u. Is z at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*n + 27*n**3 - 85*n)*((0 + 3 - 4)*(-n + 0*n + 0*n) + 8*n - n - 3*n + 2 - 2 - n + n + 0*n - 2*n).\nAnswer: 81*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400 is divided by 282?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 30507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372944 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m = -52*m - 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*i - 14 = -2*i, i = 3*x + 11. Let w be (54\/x)\/(6\/12). Does 5 divide (-3 + w)\/(-1 + 3\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41602 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 176591639 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 416 + -398. Calculate the smallest common multiple of (-66)\/(-4) - (-3)\/(-6) and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 20*f - 5. Determine y(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6*f - 485 = -f, -h + 99 = -3*f. What is the units digit of (h\/40)\/(1\/335)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*c**3 - 326*c**2 - 36445*c wrt c?\nAnswer: 192*c - 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22041 (base 6) to base 15\nAnswer: -d84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -14*w - 202. Let r be y(-29). Let j = 206 - r. Solve -t - d = 0, 7 = 3*d - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 200, 2, 4, -4, -1 in descending order.\nAnswer: 200, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2297353871889507*y**5\/2 + 225996402267*y**4\/2 + 7410609*y**3\/2 + 81*y**2\/2.\nAnswer: 3*y**2*(91489*y + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -19, -27, -35?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(21\/2)\/((n\/n**(-3\/8)*n)\/n**(-1\/8)))**(-4\/13) assuming n is positive.\nAnswer: n**(10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2, 13*i + 101 = -3*q + 9*i. Let w(r) = -5*r + 2. Let y(x) = -84*x + 35. Calculate q*w(a) + 2*y(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 5. Let j(n) = 442996*n. Calculate k(j(p)).\nAnswer: 885992*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-9) - 29\/3. Let v = o + 20. Suppose 65 = a - 12. Calculate the greatest common factor of v and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8712199 or 8712201?\nAnswer: 8712201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 + -4292\/19. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-3255\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from {c: 14, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4685814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1612208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 7 - 1. Let z(m) = -m - 3. Let k be z(-5). Find v, given that -v + k - v - v**t - 3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354946146.\nAnswer: 2, 3, 59157691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121000 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(4224\/(-252)) - (-953)\/(-360)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = m - 2*a, 683*m + 4*a + 34 = 686*m. Calculate the smallest common multiple of (-374)\/(-4) - 2\/(-4) and m.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 328 = -0*c. Let x = -75 - c. Suppose 5*d - 186 = x. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 - 195. Let y = m - -533. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**2 - 4*s**2 - 1 + 4*s - 7 - 3*s. Is 10 a factor of g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 120 and 16305.757.\nAnswer: 16425.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(468) - sqrt(468)) + sqrt(468) - sqrt(468))\/((sqrt(4) + (sqrt(4) - (sqrt(4) + sqrt(484))))*3 - sqrt(4)).\nAnswer: -12*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0754778615 rounded to six dps?\nAnswer: -0.075478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let z(s) = 168959*s**2. Give z(k(c)).\nAnswer: 168959*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ititttittiii. Give prob of picking 3 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 3420*78\/260*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 858\/(-43) - 4336\/(-93224).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.85 - -0.15. Let t = -3.5 + h. Let x = -5 + t. Sort -0.1, 5, x.\nAnswer: x, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 = -4*t - u, -1124 = -2*t - 3*t - u. Let m = 23 - t. Calculate the common denominator of m\/27 + 2\/4 and 83\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3186318 rounded to 4 dps?\nAnswer: -1.3186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-9)\/(54\/(-30)) - -2696?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.72 + 10. Let u = p + 0.02. Which is the smallest value? (a) -3\/2 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*n + 5. Let m(q) = 2*q**2 + 2*q**2 - 5*q**n + 3*q**2. Let s(o) = 2*o**2. Determine m(s(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.8 - -9.8. Let c = v + -8. Let a be (-10)\/(-36) - (70\/20 + -3). What is the third biggest value in -2, c, a, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/147378 and -137\/9702.\nAnswer: 3094938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 118?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:33 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 14 + (19 - 5) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 13*f**2 - 13*f + 7. Let o be c(-12). Suppose o*w - 13*w - 372 = 0. Let p = 64 - w. Solve 0 = -3*m + 4 + p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3977?\nAnswer: 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k**(-7)\/k)\/k*k)\/k)\/k)\/k)\/(k**(-1\/8)\/k))\/(k*k**(-3)\/k)**(-4) assuming k is positive.\nAnswer: k**(-175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/2)*j*j**(-6))**32\/(j\/((j*j\/(j*j**(-1)*j))\/j)*j*j*j**(-3\/4)*j*(j*j\/(j**4*j)*j)\/(j**(-1\/2)*j)) assuming j is positive.\nAnswer: j**(-1091\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 75181.\nAnswer: 75184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2449493911237 - -0.5?\nAnswer: -2449493911236.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 0, 0.06, -2, 25.7 in ascending order.\nAnswer: -45, -2, 0, 0.06, 25.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14351190 is divided by 131.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 39, -1, -11, -2\/7, 109 in ascending order.\nAnswer: -11, -1, -2\/7, -0.06, 39, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -25, -43, -63, -85, -109, -135?\n\"Answer: -z**2 - 13*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 6 = -34. Let t be ((-8)\/6)\/(z*7\/(-294)). Put t, 1, -3 in descending order.\nAnswer: 1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/4)\/(10\/(-180)*-9). Let c(n) = 39*n**2 - 3*n + 4. List the prime factors of c(v).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. Suppose z*i = i + 15. Suppose i*x - 6 = 14. Solve -l - l = -x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*((n\/((((n*n*n*n*n**(-1\/2))\/n)\/n)\/n)*n)\/n)\/n*n))**0\/((n**1*n)\/n)**(31\/4)*((n*n**4*n)\/(n*n**(3\/4)))**11 assuming n is positive.\nAnswer: n**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - s**2 - 1. Let r(p) = 18*p**3 - 30*p**2 - 24. Calculate 30*a(d) - r(d).\nAnswer: 12*d**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-4\/3)*u)*u\/(u\/(u\/(u*(u*u**(-7))\/u*u)*u*u*u)))\/(((u**(-2)*u)\/u)\/u)**(-18\/5) assuming u is positive.\nAnswer: u**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/2 - (-10)\/(-10). Let d = a + -13. Suppose -5*n + 26 = q, 7*n = 2*n + 20. Calculate the remainder when d is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**4\/4 - 17*a**3\/3 + 35*a**2\/2 - 32*a - 2176. What is y(-19)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1.1, -0.3, -81?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + (-1 - (8 + 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1922 + 3.\nAnswer: 1925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674458225 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0.7. What is t rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(-1) - (-2450379)\/(-79055))*-5\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -13*y - 29*y. Calculate the remainder when 1119 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101\/30 + -41\/5. Is a < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p**2 - p)*(265876 - 265880 - 8*p + 12*p) in the form g*p**3 + m + c*p + i*p**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 46 = 2*c. Let u(f) = 17*f**2 - 8*f - 10. What is the tens digit of u(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32360 is divided by 717.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 0*p**2 + 0 + 4\/5*p**4 + 2\/5*p**5 + 2\/5*p**3 + 0*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(243) - (sqrt(243) + 3)) + sqrt(243)))**2.\nAnswer: -216*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14014 and 1341494.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 0, -6, 4, -3, 2 in descending order.\nAnswer: 48, 4, 2, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456516.\nAnswer: 2, 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:32 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + ((-4)\/(-1))\/4. Let j be -6*1*(3 - 33\/i). Solve 2*x + 2 = -2*c, -j*c = -3*x - 2 - 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**2 - 7*p + 148. Determine l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a + 12. Solve 0 = -2*s + a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-16)\/88)\/((-4)\/(-10)) and ((-96)\/50)\/(8 - 693\/90).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/5 (b) -3\/5 (c) 2\/131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1889645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 783.76 + -217.237?\nAnswer: 566.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 6:03 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (144\/4)\/(-3)*(-2)\/4. Suppose 0 = -7*s + y*s + 5. Find the third derivative of -2*i**s + 470*i**3 - 470*i**3 + 2*i**2 + 14*i**5 wrt i.\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -47.1, 5, 2\/7, 2\/5, -5\/3, 0, 38\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 27 + 36 = 0. Suppose 0 = 4*k - i*w + 7*w, 4*k + 2*w = 4. Suppose -6*o + 2868 = -k*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5 + 3\/5*f - 3\/5*f**2.\nAnswer: -3*(f - 2)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7 + 0 + 115*x - 13 - 116*x. Determine p(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20598678 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -31*m**2 + 1 + 32*m**2 + 4*m - 3*m - 3*m + 35*m**3. Let n be l(1). Suppose -4*k + n = 11. What is the least common multiple of 38 and k?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 3:33 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165 + 331\/2. Which is the closest to 1\/3? (a) 1\/3 (b) 1\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, w: 4}. Give prob of sequence yy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (72\/(-14))\/((-8)\/84). Let l = -52 + o. Suppose 0 = -2*v + 2*c + 288, -l*v + 303 = 8*c - 5*c. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -238?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(1\/3)*c)\/c*c*c)**(-4)*(c\/(((c*(c**(2\/3)\/c)\/c*c)\/c)\/c))**3)\/((c**(2\/25)\/c*c)\/c**(1\/5))**(-45) assuming c is positive.\nAnswer: c**(-176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 - (-27)\/((-432)\/(-4605856)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/7 (c) -5 (d) 0.1 (e) 4068\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, 46, 46, 44, 40, 34, 26?\n\"Answer: -g**2 + 5*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*s + 120 = 50*s. Calculate the remainder when 105 is divided by (-76)\/((-84)\/112 - (-10)\/s).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -31. Let w(f) = -7*f + 5. Let q = 1 - 6. Let m(v) = -22*v + 16. Give o*w(u) + q*m(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {i: 3, e: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 2. Let j be w(0). What is the second smallest value in 1, -0.5, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7889, 15780, 23671?\n\"Answer: 7891*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 169*d - 3659. What is g(143)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 77*v + 3*v**2 + v**3 - 7 + v**2 - 8*v**2 + 83*v. What is o(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o - 8. Calculate v(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -353, -3 in increasing order.\nAnswer: -353, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + t + 6 = 0, -t = 1 + 1. Let l be 50\/k*(-4 - -6). What is the common denominator of (-1)\/4 - (-80)\/l and 139\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26206532 and 1474?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 170. Calculate the remainder when 56 is divided by f(68).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -239, -258, -279, -302?\n\"Answer: -i**2 - 16*i - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 345 + -130. Does 36 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226328*r**6 - 737319*r**2 wrt r.\nAnswer: -27159360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 7:52 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*w - 34*w = 64*w - 93. Solve 88 - 112 = w*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368458253?\nAnswer: 29, 1103, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 104 = -23*m + 20 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 3, c: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/5 (b) -0.5 (c) -2 (d) 27 (e) -5\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46999552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(3))*4 + sqrt(3) + (-2*sqrt(24))\/sqrt(8) - ((sqrt(3)*-4)**2 + -2 - (sqrt(36)\/sqrt(3))\/sqrt(4)).\nAnswer: -53 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 34044*p**2 + 36757*p + 204. Let a(j) = -11348*j**2 - 12254*j - 72. Let t(b) = -17*a(b) - 6*m(b). Find the second derivative of t(d) wrt d.\nAnswer: -22696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108792\/756 - (-2)\/(-21)*-1 and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140798, 140782, 140756, 140720, 140674, 140618?\nAnswer: 140552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.658? (a) 96.4 (b) -1\/2 (c) 5 (d) 0.3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2385 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28701 - 1\nAnswer: 28700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((1680\/216)\/35) - (-10 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1614 + 1614. Find t such that 1\/4*t**3 + 0*t**2 + 0*t**4 + 0 - 1\/4*t**5 + g*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 66, -44, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h + 1. Suppose 4*x - 2 = 2. What is d(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and (-8)\/32*(20 + -3)*-4?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*n**3 - 2*n**2 + 84*n**3 + n + 6*n**2 as r + a*n**2 + h*n**3 + x*n and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9, -49, 4469?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4\/a)**(-1))**(-30) assuming a is positive.\nAnswer: a**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 254\/4*(-2)\/(-1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 100?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = r - 402, 4*j + 154 = -r - 164. Let w = j - -91. Let d(l) = -l**2 + 9*l - 1. What is the remainder when w is divided by d(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.03, 2\/9, 1, 0.1, -1\/19, 3, 2\/37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2679 divided by -19?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:35 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11797 + -11803. What is the nearest to -1 in 1\/3, -4, -1\/106, b?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0 - 5\/8*q**4 - 265*q**2 + 0*q + 1\/60*q**5 + 1\/2*q**3. Give j(10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -5*k + 66. Is (-4)\/12 - (2 - 164\/k) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*b = -49. Let g(p) = p + 1. Let z(o) = 7*o + 15 - 4 + 2*o - 2*o. Let d(c) = -6*g(c) + z(c). Calculate d(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -30*v**3 + 2*v**2 - 4*v - 18. Calculate f(3).\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3434*p - 102. Let s(l) = 264*l + 8. Let v(f) = -4*n(f) - 51*s(f). Let m(j) = 2*j**2. Give v(m(u)).\nAnswer: 544*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8934*q - 81200. Determine k(9).\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**2 - 29516*p + 29509*p - 2096 - 2*p**3 + p**2 wrt p?\nAnswer: -6*p**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27+-34086882\nAnswer: -34086855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*v + v, 5*v = -u + 11. Let r = 15 - -1. Calculate the least common multiple of v and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 8:24 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-110)\/(-8) - 2\/(-8). Let p = -9 + s. Let i(w) = 10*w + 1. Let y be i(1). Solve -y = -p*q - 3*d, 3*q = 7*q - d - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(-35)*(g**(-1)*g)**(-16) assuming g is positive.\nAnswer: g**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1012, 2010, 2970, 3874, 4704?\nAnswer: 5442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -154 in -2, -0.06, -1\/6, 1\/3, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2 + 1 - (sqrt(13) + -3 + sqrt(78)\/sqrt(6))) + ((sqrt(468) - (-2*sqrt(468))**2) + 1 - sqrt(468)) + -4.\nAnswer: -1873 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(0 + -1)*1. Suppose 2*p = -l + 21, 3*p - l + x*l - 29 = 0. Let q be p\/(2 - (-1)\/(-1)). Solve 0 = -4*o - 10 - q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246 + 5?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -571 - 14202?\nAnswer: -14773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 636, 1285, 1932, 2577, 3220, 3861?\n\"Answer: -z**2 + 652*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 11. Let i = 19\/30 - 5\/6. What is the smallest value in -4, l, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04218 in 0.4, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 8*n**2 - 5*n - 9. Let m be w(7). Let v(x) = 1 + 3 + m*x + x**2 - 1. Suppose 5*l + 5 = -5*j, -2*j - 14 = -0*l - 2*l. What is v(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1860 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*7\/(-84)*(-4)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/6)\/(189\/162) + (1 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, h: 6, a: 6}. What is prob of picking 1 d and 1 h?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1578, -951, 288, 2313, 5298, 9417?\nAnswer: 14844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 4 + 24 + (1 - (-1 - -8))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 5*f**3 - 5 - 3*f**3 - f**2 + 11*f**3 as z*f**3 + o + w*f + i*f**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 + 2*m + 2. Let s(n) = n**2 + n + 1. Let k(h) = -r(h) + 2*s(h). Let x(f) be the third derivative of f**5\/12 + f**2. Determine k(x(i)).\nAnswer: 150*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((1 + sqrt(1800))*3 + sqrt(1800)*-2 + -4)**2 + 1*(sqrt(1800) + (sqrt(1800) + 0 - sqrt(1800)) + 0)).\nAnswer: -9005 + 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -7*n**5 + 117*n**4 + 8168*n**3 - 130116*n**2 - 688336*n - 185856 = 0.\nAnswer: -33, -4, -2\/7, 22, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from jjjjddjlldld.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a minute in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.81 + 19.858. Let p = d + -10. Round p to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**5 + 9*c**2 + 6*c**5 + 3*c**5 wrt c.\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863 (base 10) to base 7.\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3, -2.7, 0.5, 5?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 648573 (base 11) in base 5?\nAnswer: 231124303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-15))\/(4414\/(-10)). Let g = x - -59629\/44140. Calculate the common denominator of 89\/10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88396\/(-3444))\/((-14)\/(-12))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6 = -2*s. Suppose 0*b - 40 = -s*b. Suppose b = 4*p + 4. Solve -p*o - 8 = -x + 2*x, 2*o + 3*x = -14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g - 47. Let a be n(16). Let l be (-17)\/((-45)\/(-18) - 3\/a). Let d be (-12)\/24 + 13\/l. Put 5\/2, -3, d in ascending order.\nAnswer: -3, d, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*w + 7*w - 6*w**5 + 37*w**5 + 70*w**5 wrt w?\nAnswer: 2020*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -222 - 4*l + 222. Let g(b) = 5*b**2. Determine z(g(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 - 93. Suppose -76*y + 25 = -69*y + i, 7 = y - i. Put r, y, 0.3 in decreasing order.\nAnswer: r, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3553*n**3 - 15162*n**2.\nAnswer: 21318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s\/(s\/(s*s**2\/s*s)))))**(-19)*(s*s*s*(s**(2\/3)\/s)\/s)**(-2\/41)*(s**(1\/2))**42\/(s**1)**(-10\/9) assuming s is positive.\nAnswer: s**(-19915\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 2, v: 5}. What is prob of picking 2 v and 1 k?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 29*w**2 - 24*w + 177. Let k be u(-30). Let l(n) = 8*n + 105. Let s be l(k). Calculate the highest common factor of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 15, h: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343 is divided by 667?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -354048 + -18535077?\nAnswer: -18889125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 131*h**4 + 5*h**2 + 5*h - 18. Let o = 258 - 256. Let s(z) = 66*z**4 + 2*z**2 + 2*z - 9. Let x(g) = o*d(g) - 5*s(g). Differentiate x(q) wrt q.\nAnswer: -272*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1076 = 4*s - 708. Calculate the common denominator of (-6)\/4*85\/9 and s\/(-60) - 14\/21.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 38?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2244504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 61 (c) -15 (d) -3558\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-14))\/(((-396)\/(-28))\/99)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:34 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -228*p**2. Let d(u) = -4*u + 12. Let n(o) = -5*o + 14. Let r(m) = 7*d(m) - 6*n(m). What is r(v(b))?\nAnswer: -456*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + (sqrt(152) - (sqrt(152)*2 - sqrt(152))) - sqrt(38) - (sqrt(608)*-5 + sqrt(38)))\/(((sqrt(48) + 1*sqrt(48))\/sqrt(2))\/(-1*sqrt(972))))**2.\nAnswer: 555579\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7 - (-93)\/12) + 144\/45 and 55\/202?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a - -4?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 61 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5))**(-1)\/(v**(-2\/9))**(5\/2) assuming v is positive.\nAnswer: v**(16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37626 and 2646362.\nAnswer: 7939086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 6232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 325, -2797, -5935, -9095, -12283, -15505, -18767, -22075?\nAnswer: -25435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6649979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 3 + sqrt(475) + 1 + sqrt(475) + 2 + sqrt(475) + 3)*-5)**2.\nAnswer: 8250*sqrt(19) + 109900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*q = -2*j + 107, -4*j + 102 = -2*q. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f**3 - 40*f**3 + f - 9*f**2 + 68*f**2 + 20*f**3 + 14*f**3 in the form y*f + p*f**2 + l + t*f**3 and give p.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2 + w**2 - w**2 + w**2. Let v be h(0). Solve 0 = -4*o + 2*i - 8, v*o - 3*i + 5 = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*y + 31367 = 3638 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -11, 45, -544 in descending order.\nAnswer: 45, 1, -2, -11, -544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3323 + -1262. What is the remainder when x is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*r**2*u - r**2 - r*u - 249*r wrt r?\nAnswer: -10*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(-1*(-6)\/16). Let c = 30 - 19. Suppose -c = -3*i + 4*o, o = 2*o + 5. Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 5*s + 4. Let y be x(3). Let m(a) = -7*a**3 + 15*a**3 + a**2 + 3*a**3 - a + y + a**3. What is m(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5116787\/112 - 45685. What is the common denominator of o and 127\/84?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*u - 957*u + 588 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001100110101 + 1011?\nAnswer: -10100001100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 610504 (base 8) to base 12\nAnswer: 98404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0*t + 3*t)*(-19*t + 245*t**4 + 7*t + 11*t).\nAnswer: -245*t**5 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1458641.6653976 - 0.3346024. Let v = h + 1458651.19933. Let u = v - 9.2. Round u to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1584 = -50*z + 4216. Let f be (-1)\/(-4) + 924\/(-8). Let n = z + f. Which is bigger: 16 or n?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573140.4 grams in tonnes?\nAnswer: 0.5731404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/11 (b) 24.32 (c) -2 (d) 0.1 (e) -5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*l, 3*v - 4*l - 1240067 = -0*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2 = -3*y + 1, 0 = -3*f + 5*y - 3. Let i = 9 + f. Let a = 33 - i. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by (-88)\/(-2)*3\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1125*(-53)\/((-954)\/60)*-5.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/3 - 2)*(-70)\/3. Let p = -70 - b. Suppose 5*n - 2*i - 1 - 13 = p, 0 = 4*n - 2*i - 10. Solve 0*x - 2*h + n = -5*x, -2 = -h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-9)*(-20 + 17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 192533.308 to the nearest 10.\nAnswer: 192530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 478232592 to the power of 1\/3, to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from yyrryylyrylyryllyyy?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -63*s**3 - 6*s**2 - 4*s + 9. What are the prime factors of f(-3)?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -333238.\nAnswer: 28\/166619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 - -100111?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 1103*t**2.\nAnswer: -t**2*(t - 2206)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 j when three letters picked without replacement from {j: 3, q: 2, o: 3, m: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1430312411 - -41?\nAnswer: -1430312320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + p = -0 - 5, -12 = 4*p. Let o be (-3)\/(4 - q - 4). What is the tens digit of 4\/(o\/(33\/(-2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6.4 (b) 577 (c) 0.2 (d) 2\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -86. Which is the closest to f? (a) -10 (b) -2\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 11.995. Round f to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 4*n + 2*n + 6*n + (6*n + 3 - 3)*(-2*n - 3 + 3)*(0*n + n - 3*n) to c*n**3 + f*n**2 + l*n + y and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, -295, -705, -1263, -1963, -2799, -3765?\n\"Answer: f**3 - 83*f**2 - 14*f + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65772 minus 130570.72?\nAnswer: -64798.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -52285.\nAnswer: 52285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*h - 76 - 68. Find the third derivative of 307*b**6 + 3*b**5 + 2*b**2 - 105*b**h - 21 - 128 - 3*b**5 wrt b.\nAnswer: 24240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32835 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915*b + 2023*b + 1855*b - 35221 - 192930 = 0 for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - (3 + 4)) + -22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -278189, -556371, -834553?\n\"Answer: -278182*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 572 - 569. Solve 5*c - h*r = 11, 5*r + 21 = 5*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p**3 + 5*p**2 - 9*p - 2. Let z(o) = 14*o**3 - 8*o**2 + 14*o + 3. Suppose 12 = -4*a + 44. Calculate a*b(d) + 5*z(d).\nAnswer: -2*d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 12. Let s be g(6). Suppose -s*k + 4*k - 24 = -4*c, 23 = 3*c - 4*k. Suppose p = -2*y + 89, 0 = -5*y - 0*p + c*p + 230. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-7) - 388\/(-679).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1730 - -1153?\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/21 + -1)*7. Let q(o) = 9*o**4 - 15*o**3 + 15*o**2 - 9*o. Let d(r) = -r**4 + r**2. Let t(p) = i*d(p) - q(p). Let t(h) = 0. What is h?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*j + 7, -97*i = -3*j - 100*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.2330316 rounded to 2 decimal places?\nAnswer: 138.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 48\/84*(25 - (-987)\/(-42))\/((-123)\/(-7))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072499 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/60*3\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1348825341?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyi when three letters picked without replacement from yyninyyiyn.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 2*u. Let o(z) = 16*z**2 + 6*z + 1. Determine 4*l(d) + o(d).\nAnswer: 4*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) - (sqrt(175) + -2*sqrt(175) + sqrt(175)))*4) + 4 + (sqrt(175) - (-1 + sqrt(175) + sqrt(175))))**2.\nAnswer: -200*sqrt(7) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 375 or 379?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 0*k - 3\/4*k**4 + 4 + 0*k**2 + k**3. What is the third derivative of w(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**5\/10 + 11*m**4\/12 + 26*m**3\/3 + 6*m. What is the second derivative of u(v) wrt v?\nAnswer: 12*v + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.8 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-9))\/(4\/(-6)). Suppose 0 = n*z + 3 + 7. Let a(w) = -w - 3. Let p be a(z). Solve -p*s - 25 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142 - -150. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2262094230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -0.5, 14, 5.923, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k + 6*k + 12. Calculate the common denominator of (k\/4)\/(3\/(-46)) and -37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1061 - 1061.3. Let w = 171 - 173. Sort -1\/4, w, -4, y in decreasing order.\nAnswer: -1\/4, y, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - w - 7*w + 7*w)*(33 - 3 + 7 + 0 + 0 + 1 - 1 + 0 - 1 + (0 + 0 + 2)*(0 - 4 + 3)).\nAnswer: -34*w + 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 423 = -4*i, -33 = -w + i + 51. Suppose 8*g - w = 721. What is the remainder when 397 is divided by g?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429592*q + 859520*q - 429775*q.\nAnswer: 153*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 632 - -2203. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/7))**(-34)\/(z**0)**(7\/5) assuming z is positive.\nAnswer: z**(-306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 7*n - 3. Let z be i(6). Let y be (12\/(-8))\/((-6)\/28). Let m be (1\/9)\/((21\/18)\/y). Which is the closest to m? (a) z (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -852, -2961, -7068, -13839, -23940?\nAnswer: -38037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 4. Let u be (-6)\/15*(-13 + -2). Let t be m(u). What is the highest common divisor of t and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/(-42))*105\/35?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = 3. Let k(j) = -j + 3. Let n(r) = r - 3. Let m be n(-6). Let u be k(m). Solve u = -v*o - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78.8133405710526 + 112970685.3133400210526. Let t = 112970610 - h. Let z = 3.5 - t. Round z to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 + 963756*i**3 - 38555427*i**2 - 124340004*i = 0 for i.\nAnswer: -321292, -3, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**5 - 2240*i**4 + 210950*i**3 + 646340*i**2 + 650845*i + 217700 = 0.\nAnswer: -1, 140, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 10*s**2 - 12*s + 7. Let j be c(11). Let z be (18\/j - -3)*-10. Suppose -20*p + 130 = -z*p. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2*(16\/18)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -45. Let n(o) = o**3 - 5*o**2 + 2*o - 3. What is n(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2396?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 7*b - 702. Suppose 0 = 2*i + 5*m - b, -2*i + m - 5*m = -114. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8431909ml to litres.\nAnswer: 0.0008431909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2*-9)\/((-88)\/44)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 31*u**2 + 1451*u + 1069. Let c(x) = -8*x**2 - 346*x - 267. Let h(o) = -26*c(o) - 6*t(o). Factor h(m).\nAnswer: 2*(m + 11)*(11*m + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 346754880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v - 34. Let u be j(-6). Solve -5*a - 14 = -u*o - 1, -5 = 5*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18701*y**3 + 192*y**2 - 2*y - 43?\nAnswer: 112206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1510*p - 752*p - 760*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -5, 6956, 1 in decreasing order.\nAnswer: 6956, 1, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1011702 by 337234.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/3, -574372, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 3*c + 71. Calculate the remainder when 191 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -39, 1, -4, 4 in ascending order.\nAnswer: -39, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 422170 greater than or equal to 422188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(242) + -1 + (sqrt(242) - (-1 + (sqrt(242) - 3*sqrt(242))**2 + sqrt(242))))*2.\nAnswer: -1930 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**5 - 1305*n**4 + 8980*n**3 + 19980800*n**2 - 1320222720*n + 1300234240 = 0. Calculate n.\nAnswer: -124, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.184569112 to 5 dps.\nAnswer: -0.18457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 422 * -8.44068.\nAnswer: -3561.96696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*l - 131*l + 448. Let x(c) = 4*c - 109. Let i be x(l). Solve i*w = 2*n - 2, 0 = 2*n + 10 - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 + 7*x + 20. Let f(m) = 2*m**2 + 4*m + 10. Let k(h) = 7*f(h) - 3*n(h). Suppose -4*v - 21 = -7*v. Let w be k(v). Solve 2*p + 0*p = -w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*u - 3 + 4 - 9*u)*(4*u**2 - u**4 - 4*u**2).\nAnswer: -12*u**5 - u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*r + 2*d - 23, -r + 4*d = 8. Suppose 0 = -r*u + 3*p - p + 2998, u - 5*p - 736 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18753 by 3.\nAnswer: -6251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u**2 + 77*u**2 + 94*u**2 - 20*u**2.\nAnswer: 169*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2 - 1*8698. Is ((-1)\/4)\/(4 + 34786\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o + 13. Let n be g(9). Let p = 32 + n. Calculate the remainder when p is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681059.799ns in weeks?\nAnswer: 0.0000000011260909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 10. Let j(k) = 1 + k + 2*k - k**2 + r*k**2 - 4. What is the units digit of j(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 6773 + 31759 = 0. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -1. What is the derivative of 5*y**3 + 1 + 7*y**3 - z - 6*y**3 wrt y?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 3\/8*d**2 + 1\/12*d**3 - 3 - 3*d - 1\/48*d**4. Let x(y) be the first derivative of b(y). Solve x(l) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/((-15)\/88) + 34\/(-170)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 176*l + 180.\nAnswer: -4*(l - 45)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 56*x**2 + 157*x + 104. Let s be p(53). Let w(q) = -3*q. Let d be w(-1). Let b be s\/d*(-8 + 5). Solve b*f = 4*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22003679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odocdood. What is prob of sequence odcd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 182908, 365817, 548726?\n\"Answer: 182909*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 45 - -1.027\nAnswer: 46.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = b - 2*x + 15, -x + 25 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2220*o**3 + 2217*o**3 - 4445*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*m + 6, -2*q - 5*m = 3*q + 20. Let s be (-1 + 5)*(-3)\/q. Suppose 3240*h = 3227*h + 26. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 944560 to the nearest 10000.\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35272, 35050, 34684, 34180, 33544, 32782, 31900, 30904?\n\"Answer: y**3 - 78*y**2 + 5*y + 35344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 2*d - 2. Let f(x) = -2*x**2 + 2*x - 2. Calculate 4*f(p) - 3*r(p).\nAnswer: p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) - (sqrt(320) - (sqrt(320) - 2*sqrt(320)))) + sqrt(320))\/(-3*sqrt(16)\/sqrt(4) - sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(5\/6)*i)**(-2\/31)\/((i*i**(-13)\/i*i)\/i**13) assuming i is positive.\nAnswer: i**(2308\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30*-6*5\/(-90). Let w(x) = -5*x + 215. Does 13 divide w(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -437125, -437124, -437123?\n\"Answer: p - 437126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 6) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 13. Let j be f(-9). Suppose 0 = j*h - 9 + 1. Suppose h*b + 48 = 4*l - 0*b, -2*l - 4*b = -34. Solve 4*w = 2*r - 8, -3 = w - 4*r + l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -4 (b) 2\/5 (c) -5\/74 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12154989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - (3 + sqrt(847) + 2 - sqrt(847)))**2 - sqrt(847) - 6*(sqrt(847) + 1)**2) + -2 + (1 + (1*(sqrt(847) + 1) - (-2 + sqrt(847) + -4)))**2.\nAnswer: -4154 - 253*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let o(j) = 9*j. Let f be (-70)\/25 + 1\/(-5). Let s be f\/(-2)*70\/21. Suppose 0 = -t - 4 + s. Calculate t*o(q) + 6*g(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from boooooowobooooooowwo. Give prob of picking 1 b and 3 o.\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 147\/(-28)*-1 + (-2)\/8. Suppose -8*v + y*v = 0. Suppose -12*f + 16*f - 16 = v. Solve 5*t - 2*d - 31 - 2 = 0, 0 = -f*t - 5*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1363*h - 1045. List the prime factors of x(15).\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1188 - -1188.011497. What is z rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 19*i - 5 + 6 - 3 to the form n*i + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 3. Let s(r) = 5*r - 7. Let h(p) = -14*b(p) - 6*s(p). Let g(i) = -3*i + 0*i - 2*i. What is g(h(o))?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 31*r - 110. Give m(-35).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -11 + 8 - (5 + 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 6) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40012 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -306634 (base 9) in base 15?\nAnswer: -38e0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-756)\/567*(-3)\/(-5) - 40\/25.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.132 + -0.222. Let d = -14.86 - -15. Let r = d + t. What is r rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 - 4*w - 2. Suppose 0 = -a - 4*v + 13, -4 - 6 = -5*v. Is t(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p = 10*p - 93. Let g = 6 + -4. What is the third derivative of -6*d**5 + d**3 + g*d**3 - p*d**3 - 6*d**2 wrt d?\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - r. Let u be v(-1). Suppose 2*o + 3*i - 25494 = -3*o, 5*o = u*i + 25508. Round o to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 3*m**2 - 130*m - 3. Let j be b(-13). Which is bigger: -62 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, 2\/9, -69 in ascending order.\nAnswer: -69, -2.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myhhmyymhyyhhhyhm. Give prob of picking 2 y and 1 m.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-9))\/4 + (-4)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.4 in -0.054, 2\/9, 2, 3, 0.32?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251 is divided by 609?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 22*j + 10. Let h be o(-13). Let v = -134 - h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 4*r - 6. Let u be o(-5). Let x = u - -7. Calculate the lowest common multiple of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(0 + 34\/28 - (-84)\/294)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/(1\/(-2)). Let w(v) = 55*v**2 + 110*v + 3. Let q be w(-2). Sort 5, q, -4, y.\nAnswer: -4, y, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39660 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c**2 + 28*c - 28*c - 136*c**2 + c**3.\nAnswer: c**3 - 174*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 323101 + -114?\nAnswer: 322543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*k - 18 + 81, -p = k - 11. What is the remainder when 45 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 3*u - u - 3*u**3 + (-2*u**2 + u**2 + 0*u**2)*(3 - 3 + 17*u).\nAnswer: -20*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from {t: 3, y: 1, a: 1, h: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(5\/3)*c*c**(-8))\/(c\/(c\/c**4)*(c\/c**(-12))\/c) assuming c is positive.\nAnswer: c**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560)*4 + -1*sqrt(315))\/(-5*sqrt(700)*-2 - sqrt(700)))**2.\nAnswer: 169\/1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135\/1087 + 121937\/97830. Find the common denominator of i and -68\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-9)*p\/p**(5\/2)*p assuming p is positive.\nAnswer: p**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449273 is divided by 180.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 18 = -2. Let n(j) = -j - 5. Let t be n(q). Suppose t*y = -k + 89, k - 7*y + 2*y - 89 = 0. Which is smaller: k or 90?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-80) + 1515\/(-2525)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.57 + 10.43. Put m, -1\/2, -0.1 in ascending order.\nAnswer: -1\/2, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 2*g**2 - 4*g - 3. Let r be 6\/12 - 14\/4. What is s(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - q**2. Let l = 97 - 96. Let j(o) = 3*o**3 - 2*o**2 - 2*o. Determine l*w(g) + j(g).\nAnswer: 2*g**3 - 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 79 - 50 + 210 + 8908*n.\nAnswer: 8908*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 - 3.34. Let x = -0.5 - j. Let h = 2.7 - x. What is the nearest to h in 5, -2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23162 is divided by 7705?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 53. Suppose -4*x + 0*x + m = 0. Calculate the highest common divisor of x and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-5)*19220\/(-42284)?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = d - 1, 2*i = 12*d - 7*d + 23. Let j be 235\/((-5)\/30 - 2\/d). Is 470 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088844 divided by -1?\nAnswer: 1088844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bub when three letters picked without replacement from {u: 3, b: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 836549941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -28. Suppose -n*r + 4 = -1222. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-384)*(-12)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 - 23?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and 3.235.\nAnswer: -122.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25803540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/512 and -95\/142.\nAnswer: 36352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 8. Let z be 0 - 0\/3 - 7. Let x be d(z). Let v = -4 - x. Sort -2, 2, v in decreasing order.\nAnswer: 2, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 90*j + 5. Let k(v) = 89*v + 4. Let m(l) = -2*i(l) + 3*k(l). Is m(1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-20)\/36)*(-14)\/21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 - -137.0079. Round v to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952915294?\nAnswer: 2, 476457647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - w + 9. Let v be z(-4). What is the common denominator of (-21)\/((-13)\/v + 6\/(-18)) and 109\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 16*p + 5*p - 698*p**2.\nAnswer: -698*p**2 + 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 17, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*w + 202*w - 15 = -5*r, 5*w + 19 = -3*r. Let l(u) be the first derivative of -37*u + 29\/2*u**r - 31. Differentiate l(v) wrt v.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 1, -55, -5, 89 in decreasing order.\nAnswer: 89, 1, -1, -4, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*h + 18 = 0, 2*q + 2*q - 4*h = 0. Let b be q + (2 - 3) + 19. Suppose b = -3*k + 6*k. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7661 and 11962081.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 3*n**2 - n**2)*(2*n + 2*n - 7*n) + 1548*n**2 - 1167*n**2 + n**3 - 3*n**3 + (0*n**3 + 5*n**3 - 4*n**3)*(3 + 0 - 1) - n**3 + 4*n**3 - 2*n**3.\nAnswer: 7*n**3 + 381*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 1 + 1)*(2*i**4 + 3*i**4 - 11*i**4) + (-2 - 4 + 5)*(-3*i**5 + 5*i**5 - 3*i**5) - 13*i**5 + 9*i**3 - 9*i**3.\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*x - 74, -y + 2 - 5 = 5*x. Let f be y\/(-4) - 3 - 2. Suppose q - f*q + 52 = 0. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 12*c = 13*c + 6, -3*c = 13*k - 4*c + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 1. Let v(s) = -2*s - 3. Calculate -6*v(m) - 11*w(m).\nAnswer: m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.9 - 10. Let p = m - -1.1068. Round p to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297298892.\nAnswer: 2, 11, 773, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(200\/(-70))*30\/(-30)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/4 - 391*o**2\/4 - 37627*o\/4 + 116427\/4 = 0. What is o?\nAnswer: -197, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-135)\/6)\/((-2)\/(-201 + -3)). Let m be (n\/6)\/(-5)*-2 + 0. Let f = -133 - m. What is the highest common factor of f and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/(-72))\/((-2)\/(-8)))\/((-34)\/(-51)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l**3 + 3*l - 3. Let t(r) = 8*r**3 - 2*r + 2. Let j = 838 + -462. Let q = -378 + j. Give q*b(m) - 3*t(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 11:38 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(189) + sqrt(189)*-2)\/sqrt(9))\/sqrt(7).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 42 = 8*m. Let u = m + -40. Which is the closest to 3\/2? (a) 0 (b) -2\/11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -7.2. Let d = -0.2 - -0.2. Let m = r + d. Put m, -2, 0.1 in descending order.\nAnswer: m, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, -13885571 in ascending order.\nAnswer: -13885571, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*i - 0*g + 10*g - 4, -8 + 4 = -4*i - 0*i + 11*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -320*g**2 - 2*g + 3. Let z(m) = -8*m**2. Calculate t(z(f)).\nAnswer: -20480*f**4 + 16*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5459546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -339 from 0.5.\nAnswer: 339.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 + -101?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*w, 4*q - 4*w = -3*w + 12. Suppose -2 = -y, 0 = -0*c - c + q*y + 10. Suppose -3*v = -2*i - c, 0*i = 2*v + 3*i - 5. Which is smaller: v or 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -51*g. Suppose 3*r - 12 = -4*k, -r - k + 14 = -3*k. Let l(z) = 5744 + r*z - 5744. Calculate l(v(t)).\nAnswer: -408*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100212211122 (base 3) to base 5.\nAnswer: -310214112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqkquqqqokuqqq. Give prob of sequence ukk.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -149365804 and -1?\nAnswer: 149365804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 1 + 6*d**2 + 10*d - 2 + 5*d + 4*d**2. Suppose 16 = -11*y + 9*y. What is the units digit of b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 44 + 69 = 0. Suppose r*q = -4*n + 20, 2*q - 4*n - 12 = -q. Solve 3*m - 2*w = 9, -12 = -4*m + q*w + w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169029174, -338058349, -507087524?\nAnswer: -676116699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 1994*w + 313231. Calculate r(172).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, -28, -2, 2.\nAnswer: -28, -3, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssk when three letters picked without replacement from sksksssssssss.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 21*z**2 + 96*z - 1675. Calculate t(22).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 8*f**2 - 2*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 14. Suppose 4*m + 6 - 38 = r. What is the remainder when m is divided by (-14)\/(-3) - (-1)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -3)*12\/16. Solve -3 = t*s - 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -106120486 and 0.4.\nAnswer: -106120485.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 2*n + 48, 628*n - 624*n = -5*h + 115 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -24*k**2 + 142*k - 25. Calculate c(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**3 - 32*k**2 + 115*k + 7. Calculate g(3).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 41 = v, 0 = 18*v - 19*v - 1 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**3 - 2*n**2 - 5*n - 7. Let m(p) = -p**3 - p**2 + p. Let s(g) = -g**2 - 1. Let i(w) = -m(w) + s(w). Give -5*i(r) + z(r).\nAnswer: -r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 2:59 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 5. Suppose 2*k = -m + 1. List the prime factors of (-20)\/k*(-6)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13673*b*d**6 + 469*b*d**3 - 3*b*d**2 - 9*b*d + 1374*b - 4*d**2 - d wrt d.\nAnswer: 1640760*b*d**3 + 2814*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - 2*d + 7*d)*(17 - 51 + 184) as w*d + m and give w.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 3, r: 4, v: 6}. What is prob of picking 2 v and 2 r?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2966957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v + 1519 = 2*u, -2531 = -5*v - 3*u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 4*h**3\/3 - 2046*h**2 + 4088*h - 283. Factor u(n).\nAnswer: 4*(n - 1022)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 384, 580, 778?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let b = y - -2. Is 0 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 = -4*l - 2*n, -6*n - 502 = -5*l - 2*n. Suppose 72*t**3 - 44*t**2 + 84*t + 2*t**5 - 20*t + 20*t**4 + 54*t**2 + l*t**2 = 0. Calculate t.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2 - (-289)\/51).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 191201, 382418, 573649, 764900, 956177, 1147486, 1338833?\n\"Answer: r**3 + r**2 + 191207*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) 0.02 (c) -0.2 (d) 99 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m**2 + 12*m**2 + 40*m**2)*(2 - 3 - 1)*(5 - 2 - 4)*(-2*m + 2*m + 2*m**2).\nAnswer: 168*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28546277.\nAnswer: 37, 53, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(800\/330)*(-10)\/(-6). Solve -u*q + 66 = 11*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -81, -175, -269?\n\"Answer: -94*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -448006.4 - -2469297?\nAnswer: 2021290.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 460721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.6 - 37.\nAnswer: -44.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 + 146.999998978. What is x rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**4\/5 - 64*j**3\/5 + 106*j**2\/5 + 116*j\/5 - 48\/5 = 0. What is j?\nAnswer: -12, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*o - 28 = 0, 0*r = -2*r - 5*o + 1. Let j = -8 + r. Solve w = -5*m - 13, -m = 3*m - j*w - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1930 + 1934. Which is the closest to 1? (a) 4\/7 (b) l (c) -2\/29 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4605\/8289*(-12)\/(-550).\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*x + 108 - 77, 3*h + 5*x - 49 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 + b**5 + 4*b**5 + (-b**2 - 1 + 1)*(-2*b**3 + 0*b**3 + 0*b**3) - 43*b**5 - 19*b**2 + 19*b**2 + (5*b**3 - b**3 - 3*b**3)*(2*b**2 - 3 + 3).\nAnswer: -38*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2326.\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = k - 18 + 7, -5*b = -5*k + 105. Solve -2*c + 1 = z, 8*z = 4*c + 3*z + k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 107 - 49 = 0. Suppose 4*n = -4*u + 64, 3*n - p = -5*u + u. Solve -y + n = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5083 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 49?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6931 (b) -3 (c) -1\/2 (d) -1 (e) -505\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11775 and 26548386?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -62, -109, -166, -233?\n\"Answer: -5*y**2 - 22*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18749192.\nAnswer: 2, 7, 11, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 224310.3 millilitres in litres?\nAnswer: 224.3103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*s = 4640 + 1210 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05 and 5.8353667557?\nAnswer: 5.7853667557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -141*-992\nAnswer: 139872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = -2*a, -22*o + 23*o = -4*a - 13. What is the fourth smallest value in 5, -5\/2, a, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*b - 13, 5*c - 5*b + 7 = 2. Let n be (-4)\/(c + 0) - (52 + -11). What is the remainder when (n\/(-12) - 3) + 315\/4 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*b**4 + 21 - 21)*(-1 + 6 - 3)*(-8 + 8 + 26*b).\nAnswer: -1092*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:03 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518799, 519569, 520339, 521109, 521879, 522649?\nAnswer: 523419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**6\/72 - 7*x**5\/120 - x**3\/3 - 11*x. Let a(d) be the second derivative of q(d). Find the second derivative of a(m) wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 86777*v + 86776.\nAnswer: (v + 1)*(v + 86776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 212*m + 2 - 249*m + 2*m**2 + 435*m to the form k + g*m**3 + z*m**2 + i*m and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + ((-4)\/(-18) - 240\/(-135)). Solve -g = 3*d + 1, -r*g = -g + 5*d - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 - 5 - 4*l**2 - 4*l + 2 + 0*l**3 + l**3. Let h be n(-3). Let j be h\/14*(-7)\/6. Sort -0.4, 0.5, j in decreasing order.\nAnswer: j, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.2 times 183237\nAnswer: -2235491.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffdffffd?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = -3*z + 10*k - 4, 0 = -2*z - 2*k - 8. Let d be (22\/198)\/(z\/(-166)). Which is smaller: d or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**3\/3 - 9*m + 12. Let q(i) be the first derivative of o(i). Let w(z) = z**2. Give w(q(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*x - 270*x + 290*x.\nAnswer: 365*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 9*z**2 - 18*z - 5. What is j(-11)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 28 + 29. Let g = 2.8 - 3. What is the closest to q in -2, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g - 1 - 4*g + 0 + 8*g. Let r be u(-12). Suppose 4*o = r + 21. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*q - 378*q + 450 = 0. Solve v - 20 = 5*a, 2*v = -q*a + 24*a + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -1\/3, 1289, 526, 5 in decreasing order.\nAnswer: 1289, 526, 5, -1\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*3552\/9. Suppose 4*s = -148 + p. Calculate the remainder when s is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oool when four letters picked without replacement from ooloolooooooooollo.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {s: 6, r: 2, z: 3, q: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s**5\/35 - 8*s**4\/7 + 4*s**3\/3 + 16*s**2\/7 - 30*s\/7 + 21. Find o, given that r(o) = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9890.423ns to seconds.\nAnswer: 0.000009890423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2348 and 637482?\nAnswer: 1274964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -4*j - 19 - 17, 0 = -4*g + 3*j + 32 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1472, 1509, 1570, 1667, 1812, 2017, 2294, 2655?\nAnswer: 3112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7125, -9899, -12669, -15435?\n\"Answer: 2*q**2 - 2780*q - 4347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12*j**2 + j + 1. Let z(d) = -48*d**2 - 4*d - 5. What is -9*x(s) - 2*z(s)?\nAnswer: -12*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 18*s**3 + s**2 - 10*s - 13. Let d(k) = -12*k**3 - k**2 + 7*k + 9. Give -7*d(q) - 5*w(q).\nAnswer: -6*q**3 + 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5764149990 or -1?\nAnswer: -1\/5764149990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1749 + 1854 + (-209 - 0).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 4412500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/((-8)\/(-3)))\/((-1)\/2). Let s = 13 - 14. Sort -5, s, 0, l in descending order.\nAnswer: l, 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45609, -4, 5, -37, -5 in descending order.\nAnswer: 5, -4, -5, -37, -45609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/7 + 135*j**4\/7 - 394*j**3\/7 - 276*j**2\/7 + 1592*j\/7 - 1056\/7 = 0. What is j?\nAnswer: -2, 1, 2, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 6*y + 335 = -q, 5*y - q + 855 = 0. Round y to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 - 163. Suppose -9 = -n - 2*w - 0*w, -q*w - 36 = -4*n. What is the remainder when 61 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 26485.\nAnswer: 26485.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68900 - ((2 - -2)\/(-4) - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*a + 480 + 2424 = 0 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1031 - 297. Suppose 0 = 4*j - 4*t + 5*t - 2999, -5*t - x = -j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - 1)\/((-10)\/210) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1960\/420*(-6)\/(-77)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0*y**2 + 4\/15*y**6 + 0 + 0*y**4 + 6*y + 0*y**5 + 2\/3*y**3. Find the second derivative of t(z) wrt z.\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 61*z**3 + 2255*z**2 - 4*z + 2579. Calculate n(-37).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = -2*m. Let c be m - (99\/(-30))\/(-3). Is 1 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -14958 + 2*x**2 + 14958. Let j(f) = -1045*f**2. Determine y(j(s)).\nAnswer: 2184050*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*s**3 + s**4 - 3*s + 0*s + 0*s**3 + 18*s**2 - 7*s**2 - 26*s**2 to j + g*s**3 + l*s**2 + p*s + k*s**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 - -0.05. Let c = 0.129943 - t. Round c to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 9 (c) -5.4 (d) -1\/207 (e) 1.6 (f) -0.4 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + d + 5 = 0, -4*m + m = -2*d + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2496, 353, -5462, -16785, -35452, -63299, -102162, -153877?\n\"Answer: -306*o**3 - o + 2803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + -2*((0 + sqrt(252))*-3 + sqrt(252) - (4 + 4*sqrt(28)*-1)))**2.\nAnswer: 96*sqrt(7) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 34. What is the greatest common divisor of 112 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76318, 152439, 228566, 304699, 380838, 456983?\nAnswer: 533134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/20 - 176\/(-10). What is the tens digit of (-12)\/o*54\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2195\/132 + -182\/11. Let l(n) be the first derivative of 1\/24*n**4 + r*n**2 - 1\/9*n**3 + 0*n + 5. Find p, given that l(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 8 + 1 - 2*s in the form b + a*s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 384 = 6*r. Calculate the common denominator of (-8)\/((-64)\/r) + (-454)\/90 and 1\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-1 - -2) + 0. Solve h + 4*h**3 + h**3 + 0*h**2 - 5*h**q + 5 - 6*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000089197782 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/40 - 4*k**5\/3 + 41*k**4\/8 + 25*k**3\/3 + 1911*k**2. Factor q(y).\nAnswer: (y - 25)*(y - 2)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*k - 12 = 339*k. What is the units digit of -3 + 3 + k + 757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in -0.4, 3, 5.59, -1\/3?\nAnswer: 5.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6713 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 12*u + 15*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/2 - 45*i - 592 = 0. What is i?\nAnswer: -74, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 20114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -203, -319, -455, -611, -787, -983?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*j - 53*j - 77 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = -3*g. Let j be 0 + (-1 + 2)*4\/g. What is the tens digit of 12\/18*(-168)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -0*a + 1365. Let r be (-1 + a\/196)\/((-390)\/55237). Let k = 93\/40 + r. What is the common denominator of 85\/8 and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 4*y, d = y - 2*y - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2014, -2034, -2074, -2140, -2238, -2374?\nAnswer: -2554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 3*l + 11. Let d be g(7). Let t = -54 - d. Solve 2*x = 4*h + 8, -5*x - 16 = t*h - 9*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y + 6. Suppose 2*c = -y*b + 34, c - 47 = 4*b - 8*b. Let t = 9 - 5. Calculate the highest common divisor of t and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(((sqrt(315) + -5*sqrt(315))*-1 + sqrt(315) - sqrt(315)) + sqrt(315)))\/(sqrt(84)\/sqrt(3) + sqrt(315)\/sqrt(5)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + ((sqrt(162) + -1)*4 - sqrt(162)) - (3 + (sqrt(162) - (1 + sqrt(162))) + sqrt(162) - (4 + 1*sqrt(162) + sqrt(162))))**2*-6 + -5.\nAnswer: 432*sqrt(2) + 15553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23325 + -23325. Sort q, 2\/79, 7\/5, -1 in decreasing order.\nAnswer: 7\/5, 2\/79, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350 divided by 10\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 2*w**2 - 1. Let x be m(-1). Suppose -2*i = x*i - 15. What is the second derivative of s**3 - s - 2*s**i - s wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -29*f**2 + 20*f - 14. Let m(n) = -6*n**2 + 16*n**2 + 0*n**2 - 7*n + 0*n + 5 + 0*n. Give -6*c(y) - 17*m(y).\nAnswer: 4*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*o - 1272 = 3*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -2, 0.5, -5, -0.086, -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 778, 3086, 6792, 11770, 17894, 25038, 33076, 41882?\nAnswer: 51330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - ((-39 + 16 - -10) + 11 - 32).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.036 + 0.336. Let c = 210.9 - 211.1. Sort -2\/45, c, i.\nAnswer: c, -2\/45, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4723 * -111.\nAnswer: -524253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 13 + 223 - 94*y - 221*y + 296.\nAnswer: -315*y + 510","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 889 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122121 (base 3) in base 6?\nAnswer: 20154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * 20.2\nAnswer: -2.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + u + 2*u + u + 2*u + u + (3*u + 3*u - 5*u)*(-15 + 25 + 22) + 8*u - 10 - 9*u - 11.\nAnswer: 36*u - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -118602*y - 1198. Let v(n) = -593*n - 6. Calculate -3*l(w) + 599*v(w).\nAnswer: 599*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19081 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-524*5\/(-30) - -1. Sort 1, z, 3\/4, -2 in decreasing order.\nAnswer: z, 1, 3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.1, -2308 in decreasing order.\nAnswer: 0.3, -0.1, -2308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1680, 5, -2, 3 in increasing order.\nAnswer: -1680, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m + 30. Let z be o(-4). Calculate the remainder when 299 is divided by ((-1)\/z + (-55)\/(-10))*6.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 9. Suppose m + 4*c = -12, -4*c + 15 = 2*m - r*c. Let l = 2 + m. Is 4\/7 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujux when four letters picked without replacement from {j: 1, x: 1, s: 2, z: 5, u: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 480.4087m?\nAnswer: 48040.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1080314, -2160619, -3240916, -4321205, -5401486, -6481759?\nAnswer: -7562024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -23\/3, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1185 - 2*a - 1185.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4575? (a) 1\/4 (b) -1\/3 (c) 2\/11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*b + b - 11, -4*b = -8. Suppose 3*m + 5*g = 2, g + 1 + j = 0. Suppose 4*o + 4*t - 24 = 0, -m*t + 15 = -o + 2*o. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 4. Let x = r - -8. Let f = -83\/5 + 757\/45. What is the closest to 0.1 in x, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-25)*h\/((h\/h**(-1\/4))\/h)*(h**(-3\/19)\/h)**(-8\/11) assuming h is positive.\nAnswer: h**(2097\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 23*t - t - 3*t + 0.\nAnswer: -27*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 6:30 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 16 + 2 = 0. Let q(z) = -371 + 4*z**u + z - 2*z + 369 - 5*z**2. Give q(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6703 times 3\nAnswer: 20109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 47*b - 27232. What is the greatest common factor of b and 1288?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 41394.\nAnswer: -4139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from tpgitijtt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccjchcjj. What is prob of picking 2 c and 1 j?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 1.5 (c) -180 (d) 0.2 (e) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19794*u**6 + 35*u**2 - 82*u.\nAnswer: -2375280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-63)\/(-28) + (-3)\/12. Let h be 16\/6 - 14\/(-42). Let q(t) = 2 + 5*t - h - 6*t. What is q(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v - 8. Let g(j) = 11*j - 16. Give 6*g(x) - 13*z(x).\nAnswer: x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((234\/(-60))\/(-13))\/(4\/(-4 - -24))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67295.23g in micrograms?\nAnswer: 67295230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000307157 less than -13?\nAnswer: 2000307144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 2*o**2 + 4*o**2)*(-523*o**2 + 5*o**3 + 6 + 523*o**2).\nAnswer: 5*o**5 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/176)\/((-2)\/2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 18*x**3 + 4*x**2 - 16*x. Let h(q) = 17*q**3 + 5*q**2 - 16*q. Let o(r) = 4*h(r) - 5*t(r). What is the second derivative of o(b) wrt b?\nAnswer: -132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 193*c**2 - 192*c + 1016. Does 3 divide o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmuuuymm. Give prob of sequence mum.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 + 171*k + 1060. Determine m(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*b**2 - 6038*b - 10080 = 0. What is b?\nAnswer: -5\/3, 1008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 + 645. Let m be q(0). Suppose 18*l - m = 13*l. List the prime factors of l.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 144 + 24 = 0. What is the remainder when k is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 3490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1335\/(-6))\/((-7)\/14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 3663?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/4)\/(-23)*(-3)\/((-198)\/(-4))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 11. Let a = 99 + -112. Let c = m - a. Solve -2 = -2*t + c*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-36)\/(-12)))\/(2\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 576, 0.5, -0.1, 3\/2, -0.127?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 - 2*p - 4. What is the remainder when t(-3) is divided by 40\/(-3)*6\/(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3327*z + 2768 + 2777 - 5545.\nAnswer: 3327*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m\/m**1)\/m)))\/m)**14\/(m*m\/m**(-3\/5))**(17\/3) assuming m is positive.\nAnswer: m**(-641\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1da5 (base 14) to base 10.\nAnswer: 5437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 3*i**2 + 15*i + 50. Give a(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**3 + 14*u**2 - 11*u - 6. Let p(v) be the second derivative of v**5\/20 + 5*v**4\/12 - 2*v**3\/3 - v**2 - 206*v. Determine 4*c(w) - 11*p(w).\nAnswer: w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 33*l**2 - 32*l - 55. Let w be z(34). What is the highest common factor of 871 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/131648 and 31\/20570.\nAnswer: 658240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 435.4251 days in seconds?\nAnswer: 37620728.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -5*d**9\/63 + 33*d**5\/20 + 10*d**2 - 5*d. What is the third derivative of g(j) wrt j?\nAnswer: -4800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-186)\/45 - (-2)\/15. Let y be (-2)\/l*-6*-1. Differentiate 10 - y - 8 + v**3 with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5359.938 years?\nAnswer: 5.359938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44263 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:57 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1774160 and 97\/2217700.\nAnswer: 8870800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13051345 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-6 - 1) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7659675919.36 less than 0.2?\nAnswer: -7659675919.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171 and 72?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 15 = -3. Suppose 3*q + 9 + 10 = 4*m, -3*q - 15 = -3*m. Let y(b) = -b**3 + 4*b**2 + 2*b - 1. Calculate the least common multiple of y(m) and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 6115 = -2065. What is the lowest common multiple of q and 27?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4614781, 9229561, 13844341, 18459121?\nAnswer: 23073901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 + -5.6. Which is the nearest to 4? (a) -3\/5 (b) p (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1284 = -5*n + 11. Let y = n - 255. Find l such that 40\/7*l + 2*l**3 + 36\/7*l**2 + 16\/7 + 2\/7*l**y = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**2 + j - 9. Let g be z(-6). Suppose -3*d = -t + 74, -g = -5*t - 3*d + 205. Suppose 9*r - t = 5*r. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-243)\/108)\/(189\/(-672)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-639*f + 197*f - 1088*f)*(-2*f + 2*f**4 + 2*f + (-2 + 4 - 4)*(-3*f**2 - 2*f**4 + 3*f**2)).\nAnswer: -9180*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 57 - 77. What are the prime factors of ((-1)\/(z\/(-12)))\/(138\/(-26312))?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, and 1 f when three letters picked without replacement from uluuluflpeuefurlue?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - n + 24*n.\nAnswer: 31*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 12*x**2.\nAnswer: -2*x**2*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 + 1 - 39*f.\nAnswer: -39*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 1\/6, -11, 169, -0.5, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9406, 18917, 28428, 37939, 47450, 56961?\n\"Answer: 9511*d - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125651 (base 9) to base 8.\nAnswer: 225074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/31938408 and 71\/31938408.\nAnswer: 31938408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 187040 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -256\/15 + 1349\/60. What is the common denominator of 4\/(-14) + (-1555)\/70 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/3 + 1\/(-3). Let k = 5 + q. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 5*z**2 + z + 4. Let u be q(-5). Let d = u - -3. Suppose 0 = b + b - d. Is -1\/10 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -5560159\nAnswer: -60\/5560159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 43\/2*(2 + 0). Let c = r + -31. Let n = c - 6. Calculate the least common multiple of n and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - -0.7. Let z = -80 - -136. Let u be (-60)\/105 - 10\/z. What is the smallest value in s, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -3 - (sqrt(17) + 1)*2)**2 + (sqrt(102) + sqrt(102) + sqrt(102) + 4*(sqrt(102) + sqrt(102)*-1))\/sqrt(6).\nAnswer: -17*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:22 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50811591443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1988.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190) + (sqrt(190)*1 - sqrt(190))))\/(-6*sqrt(10)*1).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -9.576913?\nAnswer: 13.576913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3857440828 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -14*c + 189 + 3 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 e when four letters picked without replacement from {e: 11, m: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010011011111 (base 2) to base 12.\nAnswer: 5567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21966165650 - 0.06?\nAnswer: 21966165649.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -r + 2*t, 10 = 3*r - t - 13. Suppose 5*c = -25, 3*b - r*b + 3008 = 2*c. What are the prime factors of b?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2. Let o(w) = 3933634*w**2. What is b(o(x))?\nAnswer: 92840858675736*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1861?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1075 + -835. Solve p + 235 = y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58245?\nAnswer: 3, 5, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.26 - 21.74. Let t = s - -21.82. Let p = 0.02 - t. What is the smallest value in p, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + f + 37 = 215, 4*f + 308 = 5*m. Suppose -h + m = -0*h. What is h rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 25 = 126*v - 122*v, 2*f + 2*v = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 10) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1436*k**4 - 32*k**3 + 568655*k**2?\nAnswer: -34464*k - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/(-144) - (94\/(-18) - -1). Suppose -a + 27 = -3*p, -2*a - 179 = -7*a + q*p. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -10\/9*b + 2\/9 - 14\/9*b**4 + 2\/3*b**5 + 4\/3*b**2 + 4\/9*b**3 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s + 4 = -b, -3*s = 5*b - 14. Let u = s + 5. Suppose o - 181 = -5*v, -o = 2*v - u*o - 82. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -758 + 820. What is the remainder when 185 is divided by w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 36 = -j - 2*y, -2*j + 4*y - 30 = 0. What is the common denominator of (11\/24)\/(j\/(-4)) and -67\/8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 10*w - 6. Give u(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*(sqrt(448) - (sqrt(448) + -1)))**2 + -5*(((sqrt(175) - -2*sqrt(175))*-6)**2 + sqrt(175)).\nAnswer: -283496 - 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 283 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1827431 micrometers in nanometers?\nAnswer: 182.7431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - j = 9*c - 2, -5*c + 3*j + 16 = 0. Calculate the highest common factor of c and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = 10. Suppose 14*m - 15*m - 5*j = 15, -2*j + 30 = 4*m. Calculate the highest common divisor of m and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44137 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6 + 14118*a**3 - 60*a**2 - 6*a + 10 wrt a.\nAnswer: 120*a**3 + 84708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2024)\/(-253)*(-1)\/(-60)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 64*c**3 - 12309892*c**2 - 3 + 12309892*c**2.\nAnswer: 64*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4111096 divided by -2728?\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 48 = 38. List the prime factors of p.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b*h**2 - 43*b + 105*h**4 - 5 wrt h?\nAnswer: -10*b*h + 420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) + (sqrt(152) - 2*sqrt(152))*-2)) + (-2*sqrt(152) - sqrt(152) - sqrt(152))*-1)\/(sqrt(32)*-6 + 2*sqrt(800)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 21980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, y: 3}. What is prob of sequence yeey?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180846?\nAnswer: 2, 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.02 (b) -1 (c) 0.5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 95 + 3555. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 - 7 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-5 + 222\/42)\/(16\/50512)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -131. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-1 + sqrt(2448) + 4 + -1 + sqrt(2448) + 2)*-2*-2)*-3)**2.\nAnswer: 27648*sqrt(17) + 1412352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1574, 6234, 14012, 24908, 38922, 56054?\n\"Answer: 1559*z**2 - 17*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46\/9, -1\/5, -83.\nAnswer: -83, -1\/5, 46\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -14*a + 9*a. Suppose m = a*m. Find v such that -3\/4*v**2 + 1 + m*v + 1\/4*v**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172965, -345925, -518885, -691845?\nAnswer: -864805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 227*a = 289*a + 744 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 11) in base 13?\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = -48*q + 2069. Which is the nearest to 1? (a) -22 (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 3*h - 43, 4*h + 23 - 64 = -3*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let u(p) = 113*p + 64*p + 5 + 4 + 2 + 18*p. What is w(u(b))?\nAnswer: 195*b + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let v = -0.7 + 0.8. What is the nearest to k in 4, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a - 3 = -29*a. Let x(m) = -6 + 4*m**3 - 4*m + 4 - 2*m**3 - 3*m**2. Let z(d) = 3*d**3 - 5*d**2 - 8*d - 3. Determine a*z(b) + 5*x(b).\nAnswer: b**3 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38622 divided by 10618?\nAnswer: 19311\/5309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = -120*c - 327 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2617 - 2613. Solve -2 = -p*b + 10, 0 = -4*i - b + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Let h = -0.4 - -0.8. Let b be (4\/(-66))\/(2\/6). Put h, p, b in decreasing order.\nAnswer: p, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {s: 9, p: 2, k: 4, c: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74548.14 millilitres?\nAnswer: 74.54814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 169 (b) 4 (c) -1\/6 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 0*a**3 + a**3)*(-1 + 3*a**2 + 1) - a**5 + 0*a**5 + 0*a**5 + 0*a**4 + a**5 + 0*a**4.\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1104*m**2*v**4 - 5*m**2*v**2 + 49*m**2*v - 8*m + 18*v**4 wrt v?\nAnswer: 26496*m**2*v + 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3009 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 104\/(-12)*(-9)\/6. Let r = j + 7. Let g = 41 - r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 10 + 1 + (-6 + 3 + 2)*(1 - 3 + 4) + 1 + 3 - 3 + (1 - 3 + 0)*(2 - 2 + 3))*(-27*q**2 + 0*q**2 - 31*q**2) to the form l*q + n*q**2 + r and give n.\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 6)*(0*l - 3*l + 2*l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 - 1995*n - 4859952 = 0.\nAnswer: -983, 1648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37062741031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8441?\nAnswer: 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, 7, -112.\nAnswer: -112, -5, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {t: 5, o: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 2 + sqrt(75) + 3.\nAnswer: 5 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1190*x = 1183*x + 42. Let v(m) = -2*m + 2. Let r(u) = -2*u + 3. Let w(t) = -6*r(t) + 5*v(t). Give w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 7*h - 8. List the prime factors of j(11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/30 - k**5\/5 + k**4\/3 - 33*k**2 - 3*k. Factor d(n).\nAnswer: 4*n*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppuu when four letters picked without replacement from {u: 13, p: 2, h: 5}.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -510, -1012, -1514?\n\"Answer: -502*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (111*(-4)\/(-24))\/(152\/304)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -107*c**3 + 12*c**2 - 21*c + 78. Let b(q) = 21*q**3 - 2*q**2 + 4*q - 15. Give -2*a(r) - 11*b(r).\nAnswer: -17*r**3 - 2*r**2 - 2*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 137*x**5\/60 + x**4\/24 - 2*x**3\/3 + x**2 + 5. What is the hundreds digit of k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14868 - 0.1\nAnswer: 14867.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -150863084, -150863085, -150863086?\n\"Answer: -b - 150863083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4)*-2 - sqrt(12) - (-6*(sqrt(9)\/sqrt(3))**2 - ((0 + sqrt(3))*-6)**2)) + (1*sqrt(27)*-2 - (sqrt(27) + 6*(sqrt(243))**2)) + -2.\nAnswer: -1334 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 373937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19698155 to the nearest integer?\nAnswer: 4438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 3, k - 5*a - 1430 = -1449 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -34. Find the common denominator of 37\/11 and 71\/(-10) - -1 - j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:11 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*o**2 - 19*o**2 - 23*o**2 - 1 + 4*o to p + k*o + t*o**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/(-72)*1968\/410.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 - -0.9. Which is the closest to 1? (a) d (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - m**2 + 18*m - 18. Let q be -6 + 4 + 4 + -1. Let w be p(q). Suppose -10 = -3*h - u + 3*u, 0 = -5*h - 3*u - 15. Which is greater: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**7\/210 + q**6\/90 - q**5\/15 - q**3 - 5. Let r(c) be the third derivative of x(c). Factor r(l).\nAnswer: 4*l*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k. Let m(g) be the third derivative of g**7\/1260 + g**4\/24 + 3*g**2. Let d(q) be the second derivative of m(q). What is d(u(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987210 >= 4987209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.023 + 5.977. What is the second smallest value in u, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*y = y + 304290. Is y a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 23.6. Let y = m + -2.1. Let o = -42 + 47. Which is the third smallest value? (a) 4 (b) 2\/7 (c) o (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19951 + 19950 + 1651*m**2 + 12280*m**2 to k + q*m**2 + u*m and give q.\nAnswer: 13931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*z**5 - 3*z**3 - 151*z**5 + 78*z**5.\nAnswer: 3*z**3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10*(-5 + 15). Suppose -s - 6 = -g*s. Suppose -1 = -s*b + 15. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, and 1 n when three letters picked without replacement from {n: 1, h: 2, w: 1, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 1250, 4274, 10160, 19862, 34334, 54530, 81404?\nAnswer: 115910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/55? (a) 1\/2 (b) 552 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, a: 1, g: 8}. Give prob of picking 4 g.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1062*v. Let a(c) = 15*c**2 - 6125*c. Give z(a(r)).\nAnswer: 15930*r**2 - 6504750*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 248220349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 25, 91, 213, 409, 697?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1067, -2165, -3275, -4403, -5555, -6737, -7955?\n\"Answer: -i**3 - 1091*i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 y, and 1 s when four letters picked without replacement from mmitsiyggmi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a1 (base 12) in base 4?\nAnswer: -133021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26704814.\nAnswer: 2, 1567, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 2285*k + 2290.\nAnswer: -5*(k - 1)*(k + 458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-88)\/48)\/((-124)\/186)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**7\/14 - 2*c**6\/15 - 7*c**5\/10 - c**4\/3 + c**3\/2 + 16*c. Solve d(s) = 0.\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4326948 divided by 1081737.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/182187 and 139\/187674?\nAnswer: 367653366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2. Let w(i) be the first derivative of -i**5\/12 + 7*i**2\/2 + 6. Let n(p) be the second derivative of w(p). Give r(n(y)).\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22331320 (base 4) in base 6?\nAnswer: -543544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 96. What is the common denominator of -40\/9 and 30\/216*219\/j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -445*g - 2079. List the prime factors of w(-40).\nAnswer: 79, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 19*t + 24. Let r(q) = -29*q - 39. Let x(g) = -8*l(g) - 5*r(g). Let n(m) = m**2 + m**2 + 0*m**2. Determine n(x(b)).\nAnswer: 98*b**2 - 84*b + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.60717kg to grams.\nAnswer: 87607.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21961 divided by 5.\nAnswer: -21961\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) -0.5 (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.185917 * -0.1254\nAnswer: -0.0233139918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2256)\/(-329))\/(2\/7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 2*m + (16*m - 15*m + 21*m)*(1 + 1 + 0) - m + 0*m + 2*m + (-3 + m + 3)*(-3 + 4 - 3) + 0*m + 4*m - 2*m to z + p*m and give p.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15004, -15017, -15030, -15043?\nAnswer: -15056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 + 154\/(-6). Let r = 0 - v. What is the remainder when r is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 89\/(-1246)*(-36)\/10. Let c(s) be the first derivative of 1\/7*s - 3\/7*s**4 + 6 + x*s**5 + 2\/7*s**2 - 2\/21*s**3. Factor c(r).\nAnswer: (r - 1)**2*(3*r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -0.059222896.\nAnswer: -5.940777104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**4 - 4*f**4 + 4*f**4 + (-2*f**2 + 0 + 0)*(-3*f + 2*f + 3*f)*(5*f - 42*f - 4*f).\nAnswer: 158*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-3 + -1) - (6 - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17621?\nAnswer: 67, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12)*-2)*5 - ((sqrt(17) + (3*sqrt(612) - sqrt(612))**2 - sqrt(17) - sqrt(17)) + sqrt(17) + 3).\nAnswer: -2451 - 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 372 and 66867?\nAnswer: 267468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4466 (base 11) to base 10.\nAnswer: -5880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/18 - (-6 + -5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -7.1.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r**3 - 8 + 11 - 3.\nAnswer: 29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose -3*p = p - 20. Suppose p*k = m*q + 49 + 118, -2*q - 163 = -5*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 - 3*t - 1. Let o(b) = 23*b**2 - 8*b - 4. Determine -11*g(i) + 4*o(i).\nAnswer: 4*i**2 + i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -21. Let j = -5 + v. Which is greater: j or -11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7317.3503 + 7317. Round s to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 3*x - x + 0*x - x + 3*x + (2 - 2 + 1)*(-3*x + 5*x + 0*x) - 2*x + 3*x - 2*x + (-29 + 7 - 26)*(3*x - 2*x + 0*x).\nAnswer: -43*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1443*a**4 + 22.\nAnswer: 5772*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -824810 rounded to the nearest 10000?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 72, 5, 0.1.\nAnswer: 0.1, 3\/2, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*b**4\/8 - 153*b**3\/4 - 111*b**2\/2 + 313*b - 84 = 0. Calculate b.\nAnswer: -42, -4, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*t - 27588, -3*a - 117*t + 118*t + 20702 = 0. List the prime factors of a.\nAnswer: 2, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 5, n: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 12. Suppose -k + 2*k - 18 = 3*m, 4 = y*k + m. Which is bigger: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -56. Solve v = -5*i + 6*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363*g**3 + 1947*g**2 - 3312*g + 1728.\nAnswer: -3*(g - 1)*(11*g - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17560 - -17558.90045. Let k = -8 + 9.1. Let m = k + p. Round m to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 617 - 603. Calculate the remainder when 207 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 13*h, -2*w + 4432000 = 3*h. Round w to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 8 - 17)*(33*y**2 + 12 + 13 - 25).\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429082240.\nAnswer: 2, 5, 761, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17519, -17863, -18213, -18569, -18931, -19299, -19673?\nAnswer: -20053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 24*t**2 - 23*t + 36. Let l be y(25). What is the remainder when (-4 - -4)\/3 + 1 + l is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -5*p**4\/12 - 5*p**3\/3 + 175*p**2\/2 - 376*p. Suppose a(w) = 0. Calculate w.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 19*o**2 - 3*o + 9. Let w(j) = -3 + 6*j**3 + 2*j**3 + 6*j**2 - 9*j**3 + j. Let p(b) = 2*v(b) + 7*w(b). Give p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sixk when four letters picked without replacement from isxicnk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -320295378 divided by -138\nAnswer: 2320981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 76 (b) -1333.416 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 27306*v + 518843. What is j(-19)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2315818 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67f9 + -9bb?\nAnswer: -71b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o - 1. Let f be 36\/(-10) + (-15)\/(-25). What is the least common multiple of 5 and l(f)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.5 - 60. Let q(t) = -8 - t + 148*t**3 + 3*t**2 + 3*t**2 - 147*t**3. Let f be q(-6). Which is the third biggest value? (a) i (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/36)\/(804\/38592)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36105\/(-280) - (17\/7 - 2). Let l = -129 - y. What is the second smallest value in -0.4, 0.4, -1.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181 + 179. Which is the smallest value? (a) -4 (b) 1 (c) v (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -1584.\nAnswer: -1584.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (-22 + 91 + -40 + -16).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193622 is divided by 1476.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 854 and 408665474.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275006414.\nAnswer: 2, 3, 11, 823, 23473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 5*i + 6. Suppose 3*a + 2*a - 15 = 0. Let j be (-1 - -2) + (8 - a). Calculate the remainder when 46 is divided by d(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 2:10 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 + 60 = 0. Suppose -5*b + c + 24 + 8 = 0, -3*b + 5*c = -l. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -84928 (b) 4\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42813 and 758574?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2\/5 + 2249*c\/5 + 6756\/5 = 0. What is c?\nAnswer: -3, 2252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6. What is the units digit of 3*4 - -3 - y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29\/69 + (-53)\/159. Which is the nearest to -2? (a) -19 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 279 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16274?\nAnswer: 2, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1317951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 - (22 - 3) - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**4\/p)*p*p**(-4)*p**(-1\/2)\/p*p**(3\/7))\/(((p\/((p**(-2)*p)\/p))\/p)**(-2\/43)*(p*p\/((p*p*p**0*p*p)\/p*p*p))**(3\/29)) assuming p is positive.\nAnswer: p**(-98953\/17458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -434 divided by -7?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 - (2 - (48 + -21 - 59))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*v**3 + 0*v**3 + 3 - 9 to the form r*v**2 + k*v + n + a*v**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/7, 111, 72.3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxe when three letters picked without replacement from pppxxxxpppepx?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*j - 27, 6*j + 6*u = 3*u - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*i**2*l**3 - 5*i**2*l**2 + 294*i**2*l + 4*i*l**3 - 24*l**3 + 2*l**2 wrt l?\nAnswer: 222*i**2 + 24*i - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w**2. Let v(x) = 4*x**3 + 5*x**2 - 2. Suppose 0*m + 3 = 3*m. Calculate m*v(f) - 5*g(f).\nAnswer: -f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310913, 624339, 937765, 1251191?\nAnswer: 1564617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 45 = -2*y - 3*o - 43, -4*y - 3*o - 68 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4))\/(((-270)\/84)\/15). Let z be ((-3)\/2)\/(c\/14). Do z and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 3:25 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) 0.37 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:51 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qck when three letters picked without replacement from kqrqqcpqpq?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, e: 1, j: 2, l: 7, p: 1}. What is prob of sequence je?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 279*s**2 - 87*s - 307. What is the hundreds digit of d(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -578 + 673. Let y = 97 - h. Let w = -1 - -0.6. Put 8, w, y in decreasing order.\nAnswer: 8, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7 = -624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 2126455.\nAnswer: -63793.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 2:55 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/1 - 1) + -12. Is (67\/3)\/((-3)\/r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -37*c**3 - 5*c - 3. Let p(u) = -56*u**3 - 8*u - 5. Let r(j) = 8*m(j) - 5*p(j). Suppose i = -2 + 1. Is r(i) 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 -39\/6313 and -77\/22042.\nAnswer: 1300478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((3 - 2) + (-5 - -17))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1776225 - 1776227 + 85*d + 3552452.\nAnswer: 85*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-12) - (-316)\/(-42) and ((-21)\/126)\/((-2)\/(-256))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {u: 1, d: 1, i: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + 7*s**2 + 0*s**2 + (-s + 3*s - s)*(5*s - s + s) + (0 + 1 + 1)*(-s**2 + 0*s**2 + 0*s**2) + 25*s**2 + 71 - 71.\nAnswer: 37*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*l + 81*l + 2464 = 0. Let j(r) = 6*r**3 + r**2 - r - 3. Let w be j(-3). Let b = w + l. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2534, 5230, 7990, 10814, 13702, 16654, 19670?\nAnswer: 22750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/1844 - 17287\/922. Which is bigger: n or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 413416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k**4 + 115*k**3 - 65*k**2 - 10*k = 0.\nAnswer: -1\/8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 1)*(4*w - 2*w - 4*w) - w + 5*w - 2*w + (-1 - 1 + 0)*(0*w + 0*w - 4*w))*(-2 + 2*w + 0 + 1).\nAnswer: 12*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8. What is the second biggest value in -0.2, 1.1, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155\/(-62)*(4\/(-3540))\/((-2)\/12)\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 8. Let t be 2\/10 - 38\/(-10). Let y be 3 - (16 + t\/(-4)). Let c be z(y). Solve 0 = -c*k - 8 - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 755346692 to the nearest integer?\nAnswer: 27484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1353815000 to the nearest 1000000.\nAnswer: 1354000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -2)*(0 + 2). Suppose 0 = g - r - 0. Suppose -5*z = -0*j + j - 6, -g*j = 2*z + 12. 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 remainder when 103 is divided by 63?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.9437 + -0.0437. Let x = -32.9000266 + f. What is x rounded to 6 decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y**3 + 3*y**2 + 76*y - 76*y.\nAnswer: -18*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -184 and -0.4.\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/10))**(6\/7)\/(w**(-2\/43)\/(w**18*w)) assuming w is positive.\nAnswer: w**(30084\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/10 + -1)\/((-16)\/(55 - -9)). Which is the closest to -1? (a) n (b) -1 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9)*(-36)\/24. Let q(b) = -19*b**2 + 1. Determine q(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133.3 - -133. Which is the nearest to w? (a) -0.4 (b) 1\/6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + -3 + (sqrt(363)*-1)**2.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*z - 14, -5*z - 4*q + 3*q - 13 = 0. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhmqhmhmmhmmq. Give prob of picking 2 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 19. Which is the smallest value? (a) p (b) 2\/3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3376 (base 9) in base 2?\nAnswer: -100111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 8) to base 15\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13626440?\nAnswer: 2, 5, 340661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-9.688601.\nAnswer: 19.377202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -78*v + 1112. Let i be j(14). Solve 3*o = 5*c + 9, -21*c = -25*c - 4*o - i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -705.728?\nAnswer: 35.2864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5020, -40740, -137708, -326548, -637884, -1102340, -1750540, -2613108?\nAnswer: -3720668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 26*w**2 - w + 1. Let b be g(1). Let u be (-1600)\/90 - (-2)\/(-9). Let k = u + b. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/((-216)\/(-30))*-153. What is k rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 3854\/235)\/(1 + (-42)\/(-10)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/120*-14)\/(1506\/1255)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(20\/8) + 24\/(-16). Suppose 12*n + 0*n = -480. Which is the closest to -2? (a) y (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*m = 9, 4*m + 44 = -2*l - 2*l. Let z be 221\/3 - l\/(-12). Let q = -1 + z. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**2\/a)\/a))**8\/(a**2*a*a**(-6)\/a) assuming a is positive.\nAnswer: a**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 63*x + 61*x + 22, 12*z = 18*z - x - 45 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2524 = -110*x - 521*x. Solve 674 - 642 = x*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2567*h = 3409*h - 27786 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020098 to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1196 - -1790. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-15)*4\/(576\/(-60))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, l: 5}. What is prob of sequence www?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**3 - 4*r**2 - 4*r + 5. Suppose -8 - 4 = 3*d. Let l(y) = y**3 - y**2 - y + 1. Let x(v) = d*l(v) + k(v). Find the first derivative of x(s) wrt s.\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*z - 6*h + 4, 0 = 2*z + 3*h - 24. Suppose 0 = 5*i + 20, -z = -0*c - 2*c - 2*i. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 18165*u**3 - 9*u**2 + 14*u - 16. Let z be o(8). Round z to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -25*b**4\/12 - b**3\/2 + 809*b. Let u(l) = -75*l**2 - 10*l. Calculate -10*n(w) + 3*u(w).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/5, 4\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, u: 4}. Give prob of picking 3 u.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = 34*b - 645. Solve -4*y = 2*g + 12, 3*y + b = g + 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -27, -62, -101, -144?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608746.\nAnswer: 2, 29, 27737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nns when three letters picked without replacement from ssnnnn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19302299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 411436 - 123430933\/300. Calculate the common denominator of r and -99\/20.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 16*z + 32. Let t be 532\/(-114)*(-1 - 2). What is p(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 2. Let q be x(-2). Let z(c) = 3*c + 27. Let v(u) = -2*u**2 - 14*u - 20. Let l be v(-6). Let s be z(l). Solve s*k = q*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1575 and 136080.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/6 and 43\/1850.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 - 7 = 0. Let s be ((-1)\/4)\/(-1*8\/32). Let d(q) = q**2 - 11*q - 5. Let b(j) = j + 1. Let x(l) = s*d(l) + 6*b(l). What is x(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3\/2, 1\/3, 6\/5, -4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 33\/7, -5, -0.3, 2.\nAnswer: -5, -2, -1, -0.3, 2, 33\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64684.7 + 64684.8400046. Let j = 3 - 2.86. Let p = j - k. Round p to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 30*w - 51. Let k be z(9). Let a = 224 - k. Let v(q) = 5*q**2 + 7*q + 7. Let m(n) = -4*n**2 - 6*n - 6. Let p be 1*(-2)\/1 - -8. Give a*v(h) + p*m(h).\nAnswer: h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -166 - -158 - ((-5 - 2) + -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 3*s + 1. Let n be d(2). Find the third derivative of -2*t**n + 64*t - 64*t + 3*t**2 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132255 is divided by 200.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, -30, -55, -82, -111, -142, -175?\n\"Answer: -s**2 - 20*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -34*v + 4. Let p(h) = 11*h - 1. What is 7*p(k) + 2*r(k)?\nAnswer: 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -15*m**2 + 32*m + 2*m**3 - m**3 - 4 + 27*m**2. Let c(k) = 2*k**3 + 24*k**2 + 65*k - 7. Let u(q) = -7*a(q) + 4*c(q). Let u(s) = 0. What is s?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1549 divided by 4.\nAnswer: 1549\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, a: 3, w: 1, f: 3}. What is prob of sequence fwll?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -13 - -8) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127126 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -11*g**4\/4 - 2*g**2 + 6177. Let u(p) = -3*p + 0*p + 0*p**3 - 10*p**3. What is 3*s(h) - 4*u(h)?\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109101097*n*o - 50178592*n + o with respect to o.\nAnswer: -109101097*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-1)*66\/24. Let m = -4 + 3.6. Which is bigger: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (196*f**4 - 172*f**4 - 2642*f + 2737*f)*(0 + 1 - 3) + (5 - 5 - 1)*(2*f**4 + 2*f**4 - 6*f**4).\nAnswer: -46*f**4 - 190*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.37 + 6.76. Let m = -1 - -12. Let f = m - o. Which is smaller: f or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 14691594*u - 30. Let i be m(-5). Round i to the nearest 1000000.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**6\/120 + x**5\/5 + 3*x**4\/8 - 3*x**3\/2 + 2*x**2. Suppose -12*o + 15*o + 33 = 0. What is the units digit of s(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 0.1, -0.05, 4 in increasing order.\nAnswer: -0.05, 0.1, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/18*-1*2*-2. Let m = 2.9 + -2.3. Let d = -1.4 - m. What is the smallest value in d, -2\/5, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - 4*v + 2*v)*(3*v**3 + 3*v**3 - 5*v**3) as a*v**2 + r*v**3 + c + w*v + i*v**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.59016kg to grams.\nAnswer: 71590.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-1)\/(3\/6). Suppose 5*z - 30*l + 75 = -33*l, -2*l = z + 22. Which is the closest to w? (a) -0.3 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(28*-6)*104\/(-39)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 8:15 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 take away -135?\nAnswer: 135.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2135690524 to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8614.952ml in litres?\nAnswer: 8.614952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(23\/4))**(16\/9) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {f: 4, j: 10, d: 3, c: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 4)*((-5 + 4 + 2)*(-1 - 3 + 2) - 2 - 5 + 5)*(-2*a**3 + 0*a**3 + 3*a**3) as y + z*a**3 + v*a**2 + j*a and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137650 and 2.\nAnswer: 137650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(2*sqrt(275))**2 - (-4*(sqrt(99) + 2*sqrt(99)))\/(4*sqrt(45)\/sqrt(5)).\nAnswer: -8800 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v - j + 11, -v - 2*j - 3 = 0. Let o = 8 + v. What is the common denominator of (-6)\/(-3) + 3 - o and -71\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syssssnsnocses. What is prob of picking 1 s, 1 c, and 1 y?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 1. Let z = 5 - 3. Calculate the remainder when (-1)\/z*2*-17 is divided by i(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 + 2 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 299.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -0.042.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**3 - 5*f**2 - 6*f + 3. Let i(q) = q**3 - q**2 - q. Let o(t) = -6*i(t) + w(t). Let d = -24 + 24. Determine o(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-161) - (-64)\/736.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(3 - (-21)\/(-6)). Solve 0 = u + j*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -612663671?\nAnswer: -612663673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 61 = -5*z - 69, -4*d + 109 = -5*z. Solve 0*k = 7*k - d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1791*y + 22 = 1795*y + 3*s, 2*s = -4 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3911 + 3921. Solve -4*t + x = 2, v + 9 = 2*t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 >= -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 16*x**2 + 0*x**3 - 5 + 109*x**2.\nAnswer: -x**3 + 125*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 26 = -2*h + w, -124 = -4*h - w. Suppose -h = 8*t - 5*t. Which is bigger: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 127*c**2 - 211. Let g(r) = 2*r**2. Give i(g(z)).\nAnswer: 508*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 2. Let z(u) = 78*u - 9. Determine -5*i(o) - z(o).\nAnswer: -73*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-33 + 39 - (6 + -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -1085, -3714, -8859, -17378, -30129?\nAnswer: -47970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1175373 + -481408. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4 + 2 - 2*b - 1. Let o be -7 - 11\/(44\/(-60)). What is z(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160 + -32021?\nAnswer: -32211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxu when three letters picked without replacement from {u: 2, x: 4, v: 2, b: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 9*m - 4. Let c be j(9). Let b be c\/9*(-33)\/286. What is the biggest value in b, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 233 + -101. Suppose 90*r - s = 86*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.05*-1.3\nAnswer: -1.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2995820 to the nearest integer?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7 = 2*l, -7*z - 5 = -10*z - 4*l. What is the nearest to 0 in 3\/5, 7\/4, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608 = -15*d - 653 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21102775 - -276?\nAnswer: 275.78897225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 884769 divided by -1\nAnswer: -884769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3497 + -1641. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5516247 + 146.3.\nAnswer: 5516393.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136810 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (10 - 9) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3224.9 times -0.5\nAnswer: -1612.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 2.6. Which is the smallest value? (a) -2\/15 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 + s**4 + s**4 - 11*s**4 - 36*s**4 - 5*s**4 - s**3 + s**3 + s**4 + (-2*s**4 + 3*s**3 - 3*s**3)*(2 - 3 + 2).\nAnswer: -55*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*z + 7*z + 11740, 3*a + 11765 = -5*z. Round z to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16 + 16 - 4*f**5 - 3*f**2 wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 5*v + 3. Suppose n + 7 = -3. Is c(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.223.\nAnswer: -0.0446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/((sqrt(252)\/sqrt(4))\/sqrt(9)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.097 + 0.097. Let s = i - -25.8. Which is the second biggest value? (a) s (b) -4 (c) -2\/123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a millennium in months?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, m: 3, v: 3, c: 6, z: 1}. What is prob of picking 1 m and 3 k?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 262405*l + 787213. Calculate g(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-45))\/(((-36)\/40)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (324\/(-504))\/(6\/(-14))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*d + 4*d = -20, 2*u + d - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577292214 + 4*l**2 - 577292214.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.103 + 0.203. Which is the fourth smallest value? (a) -2\/3 (b) z (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -13321?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k**2 - 13*k + 17. Let f(r) = 1 - 2 - 3 + 2*r**2 + 0*r**2 + 3*r. Calculate -26*f(q) - 6*m(q).\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 + -140. Let m(k) = -2*k**2 + 17. Let a(t) = -3*t**2 + 27. Let h(b) = n*a(b) - 5*m(b). Factor h(i).\nAnswer: (i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1*13\/(156\/25440)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/357? (a) 0.4 (b) 3 (c) -37\/5 (d) -0.4 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126747446 and 12516.\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/11 or 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -52. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -780 + 780. Suppose -34*f + 52*f - 4482 = v. What is the lowest common multiple of 33 and f?\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -29. What is the nearest to d in 5, 0, -0.3, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/15472985 and 17\/55.\nAnswer: 15472985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 27 = -31. Let x(q) = 6*q**3 + 7*q - 33. What is the hundreds digit of x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349907 is divided by 13452?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2*b + 14. Let u(y) = y**3 + 8*y**2 + 6*y - 5. Let d be u(b). Is (6 - 1)\/(d\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2579096*b**2 - 7714597 with respect to b.\nAnswer: 5158192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Let k be -1 + n - (9 - -8). Let h = k - -32. Solve 4*j - g = 7, 3*j + 0*g - h = -g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5767 + 6.7233. What is the closest to -1 in 1, t, 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 272 + -268. Suppose 0 = 4*h - 34 + 14. Put h, -1, 3, v in descending order.\nAnswer: h, v, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -105125?\nAnswer: -105125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*m = 159*m + 15*h - 204, m + 40 = 3*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:13 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*p + 172*p + 61*p - 6*p - 276 with respect to p.\nAnswer: 253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 11. Suppose 2*w - 10 = -5*t, 39*t - 42*t - w + 6 = 0. Suppose -2*k + 4 = x, t*s - 3*s + 5*k = -542. Round s to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 11*q = -d + 2511, 2*d - 5014 = -4*q. Does 101 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2 - 4*n + 5. Give h(-4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -1\/120*y**6 - 17\/60*y**5 + 14*y**2 - 1\/12*y**4 - 10\/3*y**3 + 0 + 0*y. What is the remainder when 38 is divided by c(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 494410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 8. Let g be l(-7). Let d be (g\/(-6))\/(16\/(-6)). Let x = -403 - -403.1. Do x and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 17*g + 2. Let f(l) = l - 1. Suppose -c - 2*q = 8, -5*c = 5*q - 6 + 21. Let h(j) = c*f(j) + a(j). Let b(v) = v. Give b(h(r)).\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*i**2 - 9678*i**2 - 8437*i**2 - 10365*i**2 - 16492*i**2 as f*i + v*i**2 + o and give v.\nAnswer: -44830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 3 + -5 + 2. Let n(w) = -w - 1. Let c be n(3). Let k(h) = 156*h - 1402. Let y be k(9). Sort y, -8, c, u in increasing order.\nAnswer: -8, c, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -27 (b) 4 (c) 3 (d) 2 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 2*m - 15. Let p(c) = 109. Let v(l) = -91. Let r(y) = -5*p(y) - 6*v(y). Calculate 4*r(k) - u(k).\nAnswer: -2*k**2 - 2*k + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/33*13\/(-13). Let a*i + 0 - 2\/11*i**2 = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121575 + 1453435906?\nAnswer: 1453314331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 14*o - 2358. What are the prime factors of o?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 - 6*o + 10. Let g(n) = -n**2 - n + 2. Let w = -55 + 53. Calculate w*i(x) + 11*g(x).\nAnswer: -3*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/25 + 4*2\/4. Factor o*m**3 + 2\/5 + 28\/5*m**2 + 17\/5*m.\nAnswer: (m + 1)**2*(13*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a + 2 = 4*b, 4*b = 20. Let c(s) = -3*s**2 - 8*s - 6. Let r be c(a). Let g = -44 - r. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 <= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -11403, 56 in ascending order.\nAnswer: -11403, -44, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(5\/12)\/(w**3\/w**(-2\/5)) assuming w is positive.\nAnswer: w**(-179\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/4 - 288835*t**2\/4 - 144419*t\/2 + 144418 = 0. What is t?\nAnswer: -2, 1, 288836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 3. Let k be a(2). Solve -5*b - 4*d = 30, 3*d - 15 = k*b + 4*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -583144.1 + 583141.0999998. Let i = 0.05 - 3.05. Let t = z - i. Round t to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 + -11 - -4 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.79058 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9659.\nAnswer: 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.276 + -0.02. Let h = d - -0.35. Let w be 15\/(-5) + (-26)\/(-8). Sort 0.2, w, 1, h.\nAnswer: h, 0.2, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356142757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -362\/7 + 52. Factor -c*u**3 + 0 + 0*u - 4\/7*u**2.\nAnswer: -2*u**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/3)*i*i**(-2\/15)*(i**(-1\/4)*i)**(-16\/7) assuming i is positive.\nAnswer: i**(-124\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 - 4*d + 2. Let l(i) = i**2 + 4*i**2 + 4*i - 2 + 3*i**2. Let m(r) = 6*l(r) + 7*p(r). What is the remainder when m(-3) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10*a. Let q be x(1). Suppose -c + 9 = 4*n - 8*n, -17 = -2*c + 7*n. Solve c = k + q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:28 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*d + 3117 - 9824 = -3766 - 3757 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11296 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/7)\/r**(-4\/7))**(1\/7)\/(r**(1\/9)*r**(-4)\/r*r**(-9\/2)*r\/(r*r\/(r\/r**(-2\/13)))) assuming r is positive.\nAnswer: r**(105421\/11466)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 + 12*c - 23. Let v(n) = 3*n**2 + 8*n - 15. Let r(s) = 8*v(s) - 5*z(s). Determine r(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 55 = -5*g, -3*d = -4*g + 52 - 8. Suppose 4*i = -g - 1, 3*w = -4*i. Solve -14 + w = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 (base 11) in base 2?\nAnswer: -10000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*w + 1595, 175*w - 174*w = -2*d + 793. Let f = 5\/72552 - 314803183\/798072. Let g = d + f. Which is the closest to g? (a) 2\/3 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 614 in 2, -2\/7, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - f - 5)*(-40 - 6 + 18) - 4*f + 4*f - f + (4*f - 3*f - 2*f)*(4 + 0 + 3).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9051*f - 10010 = 9155*f - 18024*f for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -47*g + 4. Let x(d) = -d + 1. Calculate -s(n) + 4*x(n).\nAnswer: 43*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**4\/24 + 2*c**3\/3 + 3*c**2. Let t be f(3). Let p = -2.8 - -3. What is the nearest to 0.1 in -1, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 16. Suppose -h*k - 3*c - 12 = 0, 0 = 5*k - 2*k + 4*c + 16. Suppose 3*q - 2*n - 13 = 0, -1 = -k*q - q - n. Solve q*g - 1 = 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1566 or -1568?\nAnswer: -1566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*18\/945 - 3916\/(-14). Suppose 0 = -5*l + 2*r - 1, -r + 1 = l - 3. List the prime factors of (l + x + 1)\/2.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 + 21. Let a be (j\/(-28))\/(1\/(-8)). Suppose -123 = -6*r - 21. What is the greatest common factor of r and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*t - 108*t - 7587 = 0. Let g = -1616 + t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*s - 1)*(42 - 80 + 40) + (-2 - 3 + 6)*(1 + s - 1) - 63*s + 6*s + 5*s.\nAnswer: -55*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -16*g**3 - 236. Let d(a) = 13*a**3 + 235. Calculate 6*d(w) + 5*m(w).\nAnswer: -2*w**3 + 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 2 - (0 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -54 and 1596995 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -353*h**4\/3 + 539*h**3\/2 - 72*h - 3. Find the second derivative of o(d) wrt d.\nAnswer: -2824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/89 + -192\/623. What is the closest to 3 in -0.5, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 - 313*n - 57*n + 3.\nAnswer: -370*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -309, -624, -953, -1296, -1653, -2024?\n\"Answer: -7*w**2 - 294*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*z - 13. Suppose -c = c - z. Suppose -3*j = 2*w - 30, -3*j + 30 = -0*w - c*w. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -48. What is the common denominator of k and -35\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 4. Let d be r(6). Suppose i - 22 = -2*a, -2*a - i + 26 = d*i. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106\/129 - -1\/3. Let h = f + 127\/172. Factor -3\/4*a + 0 + h*a**2.\nAnswer: a*(a - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/2)\/(410\/(-328)). Suppose -1\/5*g**2 + u*g - 5 = 0. What is g?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(24)\/(sqrt(6)\/sqrt(2))) + -2*(-4 + (sqrt(3)*-2)**2).\nAnswer: -16 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(1 - -3))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5 = 3*u - s, 3*u - 3*s = 3. Let y(t) = -t**2 + 5*t + 2. Let x be y(u). Suppose -2*l = x*p - 10, -3*l = -5*p - 4*l + 5. Solve p*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(((-4)\/2)\/10). Let y(h) = 1 + 0 + 3*h - 2*h. Let d(o) = 6*o + 6. Let u(m) = q*y(m) - d(m). What is the first derivative of u(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3, 0 = -2*c + 3*b - 6*b + 5. What is the derivative of 12*t**2 + 8 + 9 - 12*t**2 + 28*t**c wrt t?\nAnswer: 112*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1055329 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4508 = -0*x + 4*x. Let v = 1599 - x. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 113588*h - 39 = 113591*h, 4*j - 4*h = 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2\/46)\/(6\/(36\/6)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 32 = 172. Suppose 3*j - 2 = 4*u + 15, 0 = 3*u + 2*j + o. Let m = 0.16 - 0.06. Which is the second biggest value? (a) u (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 8:36 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2010, -3, -1\/4 in decreasing order.\nAnswer: -1\/4, -3, -5, -2010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -118*t**4 - 21843*t**3 + 2*t**2 + 329227149 wrt t.\nAnswer: -472*t**3 - 65529*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l - 25 = 62*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 138, -3, 5, 0, 10344 in descending order.\nAnswer: 10344, 138, 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 3900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*f + 4*w, 2*f + 2842 - 2828 = -3*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -2.4. Let k = 64 - 64.1. Which is the closest to -0.1? (a) s (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(70) - -2*sqrt(70)))\/(sqrt(10) - sqrt(80)\/sqrt(32)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334961942 to the nearest integer?\nAnswer: 18302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -388 + 389. Which is the biggest value? (a) -0.4 (b) -7 (c) j (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o - 17. Let t(v) = v**2 - 21*v - 52. Let r(z) = 4*t(z) - 11*w(z). Calculate the remainder when 262 is divided by r(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.60273 micrograms in kilograms?\nAnswer: 0.00000002160273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8281.257441 - 3.9.\nAnswer: 8277.357441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q + 2. Let k be l(-1). Is 2 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence non when three letters picked without replacement from oqnniqj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzh when three letters picked without replacement from {j: 1, z: 1, o: 1, l: 1, h: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 16 = -4*v, 0*v - 3*v = 2*y - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + 19 + -3 + -2820 + 2909.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3246\/11 + 32801\/110. Let p = -13\/5 + k. Which is greater: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 3. Let w be a(0). Suppose -w*x + 3 = -3. What is the remainder when 47 is divided by (-10 - x)*8\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 + i + 33*i**2 - 3 + 10*i**2 + 7 - 40*i**2 + 54*i**2.\nAnswer: 67*i**2 + i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 12\/5 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 19*w - 63. What is f(-10)?\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100308 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (2\/78)\/(5\/1765)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and -2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*1*2\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 10. Let k(m) = -m**2 + 3*m - 7. Let o(f) = f - 1. Let n(j) = k(j) - 5*o(j). Give n(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 42*h**4 - 27*h**3 + 18*h**2 - 3*h + 6. Let c(r) = -125*r**4 + 82*r**3 - 50*r**2 + 8*r - 17. Let y(s) = 6*c(s) + 17*t(s). Suppose y(v) = 0. What is v?\nAnswer: -1\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 799910400 to the nearest 100000.\nAnswer: 799900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzzz. Give prob of picking 1 q and 1 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 14*y - 5. Let u(k) = -13*k + 4. What is -2*t(c) - 3*u(c)?\nAnswer: 11*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.29 - 5.18. Let h = 2.21 - z. Which is the nearest to h? (a) 0.3 (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {k: 2, t: 2, s: 2, e: 1, d: 1, p: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 762.901 times 6?\nAnswer: 4577.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 6*k**2 - 7*k + 1. Let u be v(6). Let w = u + 69. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -201532 + 20?\nAnswer: -201512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2208898.7 rounded to the nearest 1000?\nAnswer: -2209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 38. Suppose -h + 25 = t*r, 2*h + 5*r = r + 50. What is the remainder when 71 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333021 + -2?\nAnswer: 333013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 24818*s**2 + 101720950*s + 137427558934.\nAnswer: 2*(s + 3347)*(s + 4531)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 156608*b + 156604.\nAnswer: 4*(b + 1)*(b + 39151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08699 + -0.58699. Which is the smallest value? (a) 0.078 (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103485?\nAnswer: 3, 5, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 + 107*f + 138. Determine t(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-72) + (-8)\/(-32) - 1\/9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1051 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 701*x + 1290*x + 3664*x - 393*x - 544*x to u*x + i and give u.\nAnswer: 4718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from xgxflroo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhphznzpchzj. Give prob of picking 1 j and 1 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.562 + -0.162. Let f(v) = -8 - 3 - 10 + 0 + 6*v. Let p be f(5). What is the closest to p in -0.1, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2. Let q(v) = -v**3 + 6*v**2 - 7*v + 12. Let p be q(5). Let f(b) = 39*b**p + 6*b**2 - 2*b**2. Calculate t(f(u)).\nAnswer: 5547*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - 4\/8 - 53\/8 and 4 + 52\/(-14) + 1419\/2016.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 - -157. Let q(v) = -n*v + 6*v - 14 - v - v. What is q(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.809 - 6.97. Put -0.5, -1, a in ascending order.\nAnswer: -1, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 50. What is the highest common divisor of n and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, f: 2, y: 2, i: 6, s: 1}. Give prob of sequence sib.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/448 and 93\/46.\nAnswer: 10304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -202 in -12, 0.2, -4, -5\/74?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 31728.45 minutes?\nAnswer: 1903707000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i - 2*i + (5 - 1 - 5)*(2*i + 3*i - 3*i))*(1 - 1 + 1)*(0 - 4 + 2)*(-11 + 6 - 8).\nAnswer: -78*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-20) - ((-270)\/(-8))\/(-9). Let y(a) = 55*a - 174. What is y(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g - 534000 = 0. What is g rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(175) + sqrt(175)*-2 + sqrt(175) - (sqrt(175) + 1 + sqrt(175) + -4 - sqrt(175))**2).\nAnswer: -179 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-19 + (16 - -5) + -8)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 363749691 a multiple of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 493\/84 + 8\/21. Let v = -1446\/35 - -348\/7. Calculate the common denominator of v and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(1\/11)*(b\/b**0)**(6\/19))\/(b**2*b**(-4)*b*b**0\/b*b*b*b\/b**(-2)) assuming b is positive.\nAnswer: b**(-51\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10726467*o**6 + 3*o**3 - 2678*o**2 - 3429*o?\nAnswer: 1287176040*o**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**4 + 149984*n**3 + 1412981592*n**2 + 131827986848*n + 3090191315236 = 0.\nAnswer: -18701, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10736349*i**3*o**2 + 59*i**2*o**2 - i**2*o + 9909*i*o - 2*o**2 wrt i?\nAnswer: -64418094*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/34680576 and 145\/96?\nAnswer: 34680576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 779838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240324 + -432?\nAnswer: -241311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 52, 86, 124, 166, 212, 262?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -45 - (-3000)\/270?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -9*v**2 + 1\/1176*v**8 + 1\/21*v**3 - 1\/28*v**4 - 1\/245*v**7 + 0 + 1\/210*v**6 + 0*v + 1\/105*v**5. What is x in m(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -70?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + m + 43 = 0, -4*b - 5*m + 0*m = 95. Is 4\/(-10) + ((-1808)\/b)\/1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*g - 2*c + 143, c - 2 = 0. Suppose 2*l = -l + 21. Calculate the remainder when g is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8070 and 1\/8877.\nAnswer: 88770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 93. Let l = q + -51. Let o = -20.1 - l. What is the smallest value in -2\/7, -1\/4, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*t + 118*t - 1 + 1660*t**2 - 221*t - 888*t**2 + 943*t**2 to the form c + b*t + l*t**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 80. Let c be 1 + -2 + 6 - -15. Let v be (c\/(-8))\/(5\/(-10)). Calculate the greatest common divisor of v and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*a + 522*a = -8*a + 55384 for a.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.1. What is the nearest to 2 in x, 2\/9, 0.05?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6)*(10 + 0). Suppose 12 = -8*j + 44. Suppose 3*y = -j*u + 2, 0 = u + 4*u + 5. Solve -w + y*w = -b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58.69 - 59. Let d = 3 + -2.89. Let h = s + d. What is the closest to 1\/2 in 4\/7, h, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(22) - sqrt(110)\/sqrt(5) - sqrt(22)))\/(sqrt(288)*-2 + sqrt(2)).\nAnswer: 4*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9036885 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/3 - 1718*r**2 - 67704*r - 385624\/3 = 0.\nAnswer: -2537, -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/16)\/(((-26)\/(-24))\/13*-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6215746706 rounded to the nearest one million?\nAnswer: 6216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 7457*w + 1 - 14 + 7.\nAnswer: -7457*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 8*l**2 + 9*l + 6. Let y be k(-5). Let z = 15 - -3. Calculate the lowest common multiple of 63\/4 - (-9)\/y and z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.126? (a) 1\/4 (b) -1\/2 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0, 0.4, -4, 36?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 6.9?\nAnswer: 37.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -213788 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxex when four letters picked without replacement from kvxuxxxevxkdd?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/9 + 0 + (-12104)\/36. Let r = 644 + f. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14324*-35.6.\nAnswer: 509934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16671*m + 7938.\nAnswer: -16671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86692 or 86744?\nAnswer: 86744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 5)*(-5*g**4 - 2*g**4 + 3*g**4).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/9, 229253, -16 in descending order.\nAnswer: 229253, -2\/9, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.78 + -1.1. Let c = 0.35 - 0.3. Let i = o + c. Round i to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -858 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0268281 - 671774.5268281. Let f = n + 671664.50278. Let z = 110 + f. Round z to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from pkfkfkffffkkkfkkfkkf?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 20, 47, 96, 173, 284, 435?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4283 is divided by 58.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 7:39 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/576)\/((-270)\/243))\/((-3)\/(-4)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3832094 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*p - 273*p = 3324 + 9234 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 1\/6*r**3 - r**2 + 0 + 11*r. What is c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2177 and -1588.\nAnswer: -3765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.37, 16, -12, 0.5, 205\/2 in decreasing order.\nAnswer: 205\/2, 16, 0.5, -0.37, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -r + 56, -2*r - 2*r + 5*z = -211. Let h = r + -45. Let q be (4 - 0) + -1 + -1. Solve 0 = k + q*k + h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*g**3 + 1837*g**3 - 1700*g**3 + 422*g**3.\nAnswer: 1195*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 5*f - 3. Let i be k(-6). Let b(g) = -g**3 + 2*g**2 + 3*g + 3. Let s be b(3). Solve -3 + s + o**i = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 23 = b, 3*b + 74*c - 70*c + 7 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/9)*q**(-33) assuming q is positive.\nAnswer: q**(-286\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78536317 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-8)*4\/4*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {x: 1, b: 2, l: 2, q: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*h - 72, -2*a + 2*h = -a - 21. Let i = a + -5. Let m = -17 + i. Let f(d) = -2*d**2 - 3*d - 2. Give f(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -98, -152, -258, -434, -698, -1068?\nAnswer: -1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*b**3 + 102*b**3 - 167*b**3.\nAnswer: -206*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 + 49 = 5*l. Let v be (-50)\/l - 2\/(-3). Solve v*t + t = -25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*g*s**2*v + g*s*v**2 + 87*g*v**2 - 2*s**2*v**2 + 79522*v**2 wrt g.\nAnswer: 76*s**2*v + s*v**2 + 87*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00769 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from xbqqqqqqxmyxbqbrqqqq.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by (-2)\/(-8) - (-2793)\/76.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 27*y + 125. Let d be r(-4). What is the third smallest value in -2\/5, d, 0.4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-37)\/((-5180)\/(-50))*(-7)\/2. Let 3\/2 + o*z + 1\/4*z**2 = 0. What is z?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 22. What is the first derivative of c*d**4 - 2 - 12*d**4 + 6 wrt d?\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 11139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*h**2 - 8*h**3 - 23*h**2 - 2*h + 53*h**2 as v*h**3 + d*h**2 + x + f*h and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 + 202. Let j = z + -37. Let b(v) = 13*v + 784. Let g be b(-60). What is the highest common factor of j and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -9\/5, -0.07, -4\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 4:33 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -7*f**3\/6 - f**2\/2 - f. Let r be q(-1). Let m = 9 - r. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + 31. Suppose 3*r + 10 + x = 0. Let b be 2\/(-1) + r\/(-14). Is b equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 619 - 618. Suppose 3*v + 3*w - 39 = 0, -5*v = -11*w + 10*w - 35. Solve -3*b + 4*s = u, v = -5*s - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/8 + 11*q\/8 + 13\/4.\nAnswer: -(q - 13)*(q + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 21 + 293)*(2*v + v**2 - v**2 - v**2).\nAnswer: -229*v**2 + 458*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 65*d - 4. Let o be w(-4). Which is smaller: -266 or o?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 + 44*b**2\/9 - b\/3 - 2\/9 = 0. What is b?\nAnswer: -1, -1\/5, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000101010011 (base 2) in base 15?\nAnswer: -10d27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440) - sqrt(440)*3)*-6)\/(sqrt(20)\/(sqrt(18) - sqrt(2))))\/(sqrt(36)\/sqrt(441)*6*2).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - 27 - (3 - 2) - 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1395, 1400, 1409, 1422?\n\"Answer: 2*c**2 - c + 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82535 is divided by 1172?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b5669 + -3?\nAnswer: b5666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1316953 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -0*v + 3*v. Let f = v + 4. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214*o**3*u**2 + 7*o**3*u - 17*u wrt u?\nAnswer: -428*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 9*s - 8. Let p be 6 + (3 + -3)\/3. Let x be l(p). Suppose x + 265 = 5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -201844, -403693, -605540, -807385, -1009228, -1211069, -1412908?\n\"Answer: v**2 - 201852*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2154 divide 18589020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxsfqfn. What is prob of sequence ffs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2. Let f(p) = 76*p + 73*p - 135*p. Determine f(x(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/42 + 1062\/(-1848) + 42\/231.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1515576, -3031174, -4546772, -6062370, -7577968?\n\"Answer: -1515598*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, -11, 6 in decreasing order.\nAnswer: 6, -11, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 129*j**6\/2 - 2*j**3\/3 - 285*j**2 - j + 1468. What is the second derivative of o(m) wrt m?\nAnswer: 7740*m**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -31 + 31 - 2*h**2. Let q(f) = 2*f**2. Determine v(q(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 + -2. Which is the second biggest value? (a) s (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 + 8*f + 13. Let w be y(9). Let z(o) = 4*o + 8. Let g(v) = 5*v + 9. Let h(j) = w*z(j) - 3*g(j). What is the derivative of h(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + 11112?\nAnswer: 11141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 193 and 1737?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1834 in 0.5, 0.2, -7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 1\/10, 6, -618, 5, 7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*z**2 + 28*z - 131*z + 28*z**2 + 21*z + 22*z + 60*z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 94*i - 719. Let j(h) = -97*h + 723. Let t(x) = -2*j(x) - 3*l(x). Find the first derivative of t(m) wrt m.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344938.\nAnswer: 2, 7, 17, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -260, -285, -326, -389, -480?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 983173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = 0, -m + o - 223 = -252. Calculate the greatest common divisor of m and 7242.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24404 and -0.2.\nAnswer: 4880.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211321 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(3*8) + (-3681)\/(-72). Suppose -h*p = -44*p - 3752. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 130.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -315 (base 9) to base 3\nAnswer: -100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 154082, 154061, 154044, 154031, 154022?\n\"Answer: 2*w**2 - 27*w + 154107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2299)*1 + (sqrt(2299) - sqrt(2299)*-2) + sqrt(2299) + sqrt(2299) + -4 - (1 + sqrt(2299) + -3 - (-3 + 1 + sqrt(2299))))**2.\nAnswer: -396*sqrt(19) + 82773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 + 5433*f**4 + 96 + 71 + 3*f - 5278*f**4 wrt f.\nAnswer: 1860*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5412.24 millilitres in litres?\nAnswer: 5.41224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 5:23 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 1128*d**2 - 1026*d**2 + 3303*d**2 - 1135*d**2.\nAnswer: 14*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-43\/3)*q**9*q\/q**(-2\/11) assuming q is positive.\nAnswer: q**(112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 44. Calculate o(-13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p. Let w(t) be the first derivative of t**2\/2 + 3. What is j(w(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a5989 - 3?\nAnswer: -5a5990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 24 = 0, -l + 273528 - 78801 = -2*b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 8*h + 14. Let t be a(6). Let z be ((-18)\/(-30))\/((t*-1)\/(-10)). Solve z*r - 8 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxmmxxxxx. Give prob of sequence mm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -641, -2525, -5655, -10025, -15629?\nAnswer: -22461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 - 7) + 11 - 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -910 >= -6638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 2*s + 2*s)*(-3 - 1 + 5 + 4 - 5 + 0 + 1 - 5 + 2 + (2 - 3 + 3)*(4 - 1 - 1) - 2 - 1 + 4 + 7 - 2 - 3 - 2 + 6 - 2) to the form d*s + y and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 9*o = 5*o - 108 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 27*u. Let h(b) = -61*b. Let m(c) = -9*f(c) - 4*h(c). Let w(o) = -193*o - 1. What is m(w(k))?\nAnswer: -193*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*o**2*r**3 - 20*o**2*r**2 + 3634156*o*r**3 - 14196782*r**2 wrt r?\nAnswer: -90*o**2 + 21804936*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -223 - -1b97?\nAnswer: 1974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/305565 - -77307847\/14972685. Let h = 9911\/980 - n. What is the common denominator of 71\/16 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2223186 and 1204.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -410, -2\/3, -14\/3, -1, -1\/4, 11\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let j be r(8). What is the common denominator of 91\/54 and 552\/(4 - 8)*2\/j?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l - 9. Suppose 10 = l*p - 5. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1051189 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**3\/3 + 3*r**2 + r - 3. Let o be q(-7). Solve z - 3*z = -o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18830 + 18859. What is the remainder when y is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/238 and 55\/1414.\nAnswer: 24038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1560*d**2*h**2 + 2*d**2*h + 74*d*h - 6*h**2 + 1 wrt d?\nAnswer: -3120*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 4:20 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2560, 2588, 2616, 2644, 2672, 2700?\n\"Answer: 28*k + 2532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 3. Let q be h(1). Suppose q*z - 366 - 714 = 0. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/229 in -0.1, 7.19, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231*w + 117*w + 3*w**2 + 4 + 114*w + 2 - 8*w**4 to c*w + q*w**3 + a + f*w**2 + j*w**4 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4579640.1 days in weeks?\nAnswer: 654234.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*y + 55, 1 = 3*y - 5. Suppose 5*p - q = 157. Suppose 3*v = 4*x - p, 3*x + x - 30 = v. What is the remainder when 26 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 462*s + 2306. Let j be p(-5). Sort j, -1, 0, -3, 6 in decreasing order.\nAnswer: 6, 0, -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33572255*w**5 - w**2 + 24049731 wrt w.\nAnswer: -2014335300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*2*(-212)\/53\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 29947*s + 8280564. Determine u(-274).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10596 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c + 74*c + 76*c = 218*c - 4*k, 6*k - 4 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*d**6 + 2*c*d**4 - 61*c*d**2 - 28*c - 268*d**4 wrt d?\nAnswer: 240*c*d**3 + 48*c*d - 6432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.9 - 40. Let f be 231\/902 + (-1)\/2. Let j = 218\/451 - f. Which is the nearest to j? (a) 0.5 (b) -1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.03, -6, 0, -426, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z - 2*x, 2*z - 2*x = -0*x + 8. Let m be 2 - (1\/1 + 0). Is z bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11590806 to the power of 1\/2, to the nearest integer?\nAnswer: 3405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - 18\/12. Does 3 divide 4\/6*(-18)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -7*c**4\/6 + 13*c**3\/6 - 22*c**2. Let z be g(5). Let b = z + 262. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = -2*c, n + 18 = 5*c + 8. Suppose 6 = g + p - 2, -n*g = -2*p - 12. Let z be (1*(-2)\/(-1))\/1. Solve 4*t = -z*y + 8, 5*t + 3 = -g*y + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/7)*i*i\/i**(-7)*i)\/(i**(-3\/8)\/(i\/(i*i**(1\/6)*i*i))) assuming i is positive.\nAnswer: i**(1499\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = 3, -33 = -2*d - 3*r. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - y + 12 = -4*y, 20 = -b - 5*y. Let k = b - 4. Let t(u) = 2*u**2 - 2. Let s(m) = -3*m**2 + 3. Determine k*s(i) - 7*t(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 + -119.38. Let u = c - -0.38. Which is greater: u or -6\/83?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**5 + 3705*n**4 + 29885*n**3 + 56175*n**2 = 0.\nAnswer: -5, -3, 0, 749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -4 (b) -2\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 585 - 238. Suppose -4*v = -3*m - z - 333, -5*v = -4*m - 851. Suppose -2*f + 4*f + v = b, -499 = -3*b + 4*f. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 65?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47.8 and 15.9?\nAnswer: 760.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 1, -16\/5, 90?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaz when three letters picked without replacement from {a: 1, z: 2, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -165267?\nAnswer: 44\/165267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10924?\nAnswer: 2, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 106815753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(2\/45)\/y))**17*(y*(y*y*y**(11\/6)*y*y)\/y*y)**(-2\/19) assuming y is positive.\nAnswer: y**(27809\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 470756477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 5597337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120012 + -2?\nAnswer: 120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -13. Let j be 1\/r - ((-14320)\/15)\/8. Suppose -3*z = 4*b - j, z + 112 = 4*b - 3*z. Calculate the remainder when 83 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8725 - -40.1275. Let h = -10 - -7. What is the fourth biggest value in 0.2, 3, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3 + 6. Let q(j) = 2*j**3 + 2. Let s(m) = -m**3 - 1. Let i(r) = d*s(r) + q(r). Find the first derivative of i(o) wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/42*413\/(-3540).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*d + 116*d + 80*d)*(6*d + 15 - 10 - 8) as t + k*d + g*d**2 and give g.\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1259629679 * 0.4.\nAnswer: -503851871.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49440 and 9888?\nAnswer: 49440","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -50*l**2 + 8*l + 2. Let n(q) = 51*q**2 - 9*q - 4. Give 6*n(i) + 7*t(i).\nAnswer: -44*i**2 + 2*i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.8 in 2\/7, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(320) + -2 + -5)*1)**2.\nAnswer: 336*sqrt(5) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-27) - 33\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 106*h**2 + 16*h + 16. Let t(s) = 35*s**2 + 5*s + 5. Suppose 19*d + 17*d + 95 - 275 = 0. Determine d*f(r) - 16*t(r).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1335871 (base 9) to base 13\nAnswer: -1c8610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*c - 2*c + 21, 5*m = c. Suppose -2*w = 4*i, i - c*i = -3*w + 40. Solve 3*k - w = -2*z - 2*k, 5*z - 2*k = 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2 = -x, 2015*x - 2012*x - 5*j - 10 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p - 16. Let n be b(-3). Let j(f) = 18*f - n - 4*f - 8*f. Let l(d) = -4*d + 9. Suppose 0 = 5*i + 3 + 22. What is i*j(x) - 8*l(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(45)*-3 + sqrt(5))**2 + sqrt(125)*2 + sqrt(125) + -3 + (sqrt(135)\/sqrt(3) - (sqrt(50)*1)\/sqrt(10))).\nAnswer: 102*sqrt(5) + 1878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 959, 950, 929, 890, 827, 734, 605?\n\"Answer: -z**3 - 2*z + 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*k + 9 = 2*k, o = -3*k + 12. Suppose -2 = 4*s - 5*s, -n = -3*s. Is (o\/n)\/((-1)\/(-38)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 627. Is 621 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125248, 249827, 374406, 498985?\nAnswer: 623564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2 - 8*w)*(0*w - w - 3*w) to the form u*w**2 + x + j*w and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1216397 * 0.4.\nAnswer: 486558.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u + 2. Let q(w) = w - 4*w - 6*w + 1 - 5. Let f = -9 + 4. Calculate f*a(m) - 3*q(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v + 3*j, 9 = -4*j - 7. Suppose f = 6 - v. Suppose 3*x - 5*q - 14 = -0*q, -2*x = -f*q - 6. Calculate the greatest common factor of x and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6606, 138, -4 in ascending order.\nAnswer: -6606, -4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.068622 + 0.0695. Round c to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*(sqrt(7) + sqrt(63)) + sqrt(126)\/sqrt(2))*1 + 3 + sqrt(42)\/sqrt(6) + -3 + 3)**2.\nAnswer: 384*sqrt(7) + 4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdbo when four letters picked without replacement from {b: 2, d: 1, t: 1, o: 1, f: 1, j: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5\/5 + 18807*t**4\/5 + 508428*t**3\/5 + 1696532*t**2\/5 - 27722112*t\/5 - 28929024\/5 = 0.\nAnswer: -16, -1, 6, 18834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19521 to 3 decimal places.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 3*f - 8*f - v, 5*v - 40 = 3*f. Let k be ((-8)\/f - (-6)\/10)*1. Solve 0 = b - 3*c + 8, 0 = -4*b + 2*c - 13 + k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-15) + 24\/15. Let n(u) = 2*u - u - h - 5*u - 11. What is the remainder when 46 is divided by n(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45\/148 - 2\/37. Let u = -20824 + 1166175\/56. Let m = u + -5\/28. Sort c, m, -4 in ascending order.\nAnswer: -4, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 17*v**3 - v**2. Let p be m(1). Let u be ((-1700)\/(-40))\/((-1)\/(-2)). Let f = u - 69. Is p smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1734025256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 7550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13661, -46, 5 in increasing order.\nAnswer: -13661, -46, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2058 = -f - 6*g, 3*f - g - 6432 = 0. Calculate the greatest common factor of f and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -235, -283?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 8. Let f be v(-3). Find the common denominator of f\/(-6)*(-51)\/34 and -25\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -242*l**2 + 3871*l + 19. What is m(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -443210133?\nAnswer: -443210142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - x + 4, 0 = -3*j - x - 4*x + 20. Suppose j = -4*c + c + 27. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 1. Let w be v(2). Suppose 5*i + 2*t - 333 = 0, t = -4*i + 3*t + 252. Let x be 86\/(-70) + 52\/i. Is w at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 7*k + 6. Let u be q(-4). Let p be 1 + -1 - u - 1. Solve l - p*l = -12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1593 and 2511?\nAnswer: 148149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 10326.285 and -0.3.\nAnswer: 10325.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 g when three letters picked without replacement from cctqzgcrzztcc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -2 - 2\/3*g**3 - g**2 + 0*g. Factor f(m).\nAnswer: -2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**3\/3 + f**2\/2 + 11*f + 1. Let o be 12\/((4 - -5) + -6). Suppose -3*c = 6, -9*z + 2*c + o = -12*z. Determine r(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734304 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 + 103. What is the least common multiple of 10 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.007 + -0.007. What is the nearest to 1 in -1\/2, 1\/10, g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 128, 3, 12.\nAnswer: -4, 3, 12, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 0*h + 0*h - 2*h. Let i(l) = 10*l**2. Give i(s(u)).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00342 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 697986 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 13*d**2 - 44*d - 9. What is the least common multiple of s(-6) and 2\/3 + (-140)\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*k + 1421 = -532 + 3 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10406 - 20023 = 22513. Calculate the greatest common divisor of 56 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v*v)**(-2\/15)*((v\/v**(-2))\/v)\/v*v**5 assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*(1 + sqrt(68)) + 4))**2*-1.\nAnswer: -3348 - 720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29513\/8540 - 5\/854. Calculate the common denominator of (-2988)\/(-192)*(-8)\/18 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + 8*a + 7. Give r(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -3, -85, -16, -87.\nAnswer: -87, -85, -16, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + 7735\/14. Let c be w\/21 - 8\/28. Let s = 46 - c. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 173 - 190 = -15*t, 2*l + 3*l + 137 = 2*l + 5*t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10dc25 (base 15) to base 16.\nAnswer: -c4c61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-7))\/((c\/(c\/(c**(2\/7)*c)*c))\/c*c))**(1\/43)*((c*((c**(1\/5)\/c)\/c)\/c)\/c**(4\/9))**(-29\/4) assuming c is positive.\nAnswer: c**(891349\/54180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*c + 7582 - 7780 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77036 + 157027 + 79309 = -79*i - 983*i for i.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3808, -6726, -9644?\n\"Answer: -2918*m - 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**18))\/(((o**(1\/30)\/o)\/o)\/o))**40 assuming o is positive.\nAnswer: o**(2516\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t. Let u(b) be the second derivative of b**3 + 3*b - 2. What is o(u(g))?\nAnswer: 108*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 379670553 and 3573?\nAnswer: 3573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -71*u**3 + 206*u**2 - 136*u + 20. Let j = 22 + -7. Let d(g) = 285*g**3 - 825*g**2 + 543*g - 81. Let y(r) = j*i(r) + 4*d(r). Factor y(b).\nAnswer: 3*(b - 2)*(5*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 5*d + 4*d, 14 = -5*h - 3*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1506493 divided by 88\nAnswer: -1506493\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/10625 and -99\/106250.\nAnswer: 106250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.83351 weeks to days.\nAnswer: 103.83457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -269419944 divided by 17454\nAnswer: -15436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -3*f, 5 = -f - h + 2. Let y be 1*3\/6*f. Let r be 8\/2 + y + -2. Solve r - 13 = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2915766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 15144 = -15758 + 9682. What is the remainder when a is divided by 52?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)*2 - -261. Suppose 2*r = 6*r + w - 1035, r - g = 4*w. List the prime factors of r.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38514 greater than or equal to -41210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -32*o + 31*o + 9, -3*o + 4*d + 11 = 0. Is (48293\/14)\/(o\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**4\/l)\/l)\/(l*l**34))**(2\/61) assuming l is positive.\nAnswer: l**(-66\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 13*o**2 + 14*o - 8. Let x be d(-16). Let h = x - -2496. Suppose -y = -5*k + 2735 - 865, -h = -4*k - 2*y. Round k to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((22 - -29)\/17)\/(1 + 12\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22775 - 2.\nAnswer: -22777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2 - (0 - 1)). Let o be (1 - 0)*(-284)\/(-142). Suppose o*j + 5 = w*j. Solve 3*p - v - 23 = -j*v, -v + 6 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -150 - 1?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8792223 and 87744.\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - j**2 - 2 - 2)*(0*j**2 - j**2 - j**2).\nAnswer: 2*j**4 - 4*j**3 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (sqrt(539) + 0))*3 - sqrt(539)*-2*5)**2 + (3 + 4*sqrt(539)*1)*-2.\nAnswer: -56*sqrt(11) + 53894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/35 + 59898\/1043.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 996200*h + 5977344.\nAnswer: -4*(h - 249056)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*r + 4, -19 = -4*w - 3*r + 4*r. Suppose w*q + 131 = 127. Is -1\/892 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -23*o**2 - 23*o**2 + 73*o**2 + 10 + 10*o - 22*o**2. Determine s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggagggggagggg.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*h - 2\/3*h**2 + 4\/3.\nAnswer: -2*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1344\/147)\/32)\/(4\/98). Suppose 5*j - 2*j = 84. What is the greatest common factor of j and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -293?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 41415.\nAnswer: -165660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*r - 5 - 13, 2*m - r = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39*((-5)\/75 - 66\/(-165)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1859 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 = 0, 0 = -27*t + 31*t + 2*d - 926. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -524, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Suppose z = -5*w + 60 - 5. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 6) to base 16\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37e + -82?\nAnswer: 2fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 145. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - -75. Which is the second biggest value? (a) l (b) -18 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5)**(-3\/4)\/((k\/(k\/(k\/(k*k**(1\/11)*k))))\/k**21))**(3\/37) assuming k is positive.\nAnswer: k**(2421\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -5) + (-2 - 2 - -27).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7249 + 16718. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3110, -25009, -84510, -200417, -391534, -676665, -1074614?\nAnswer: -1604185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 3143, 5 in ascending order.\nAnswer: -46, 5, 3143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.4 in -0.06, 1508.02, -2, -1\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**2 + 162*h - 165 = 0.\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 44. Let k be ((-7)\/105)\/(o\/(-18)). Find v, given that k*v - 1\/5*v**2 - 2\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 7, -1, -4.\nAnswer: -4, -1, 0.02, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35994643*x**3 - 2329494 wrt x?\nAnswer: -107983929*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-42) - 17\/7. Let a be 2\/p + 4\/6. Solve -1\/3*k**2 + 0*k + 0*k**3 + a + 1\/3*k**4 = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from vppvpppkvv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 1, c: 1, t: 5, d: 2}. What is prob of sequence cti?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:18 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 751445 + 64466 = 128801. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 881, -36, 9?\nAnswer: 881","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-64)\/(-2 + 6\/4). Suppose 4*n - 416 = -a. Let i(d) = -d + 1. Let j be i(-8). What is the highest common factor of n and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w + 1. Let c(v) = -24*v + 2997. What is c(a) - 2*m(a)?\nAnswer: 2*a + 2995","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q - 5. Suppose 4*o + v + 0*v + 25 = 0, 5*v = -o - 30. What is the remainder when 13 is divided by u(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1008)\/(-2520))\/(((-180)\/(-240))\/((-2010)\/(-16))).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.3886 + 0.0714. Let c = 46 - j. Let x = 0.26 + c. Round x to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.8574, -0.083 in ascending order.\nAnswer: -2, -0.8574, -0.083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22804878, -22804875, -22804870, -22804863, -22804854, -22804843, -22804830?\nAnswer: -22804815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7828 is divided by 290?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 964\/427 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/42*4\/(-1)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*b**2*x - 64*b**2 - 1827663*b*x + 2*x wrt b.\nAnswer: 316*x - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 3*r - 16, 6 = -92*b + 87*b + 2*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**6\/2 + 2*n**2 - 7. Find the second derivative of a(w) wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22748518.\nAnswer: 2, 13, 23, 109, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h - 4*h + 2*h**3)*(-1319*h - 6 + 701*h - 6117*h + 4) as y*h**4 + c*h + n*h**2 + q + a*h**3 and give y.\nAnswer: -13470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-6)\/12)\/((-11)\/(-22)*(-84)\/126)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7\/2 (b) 2 (c) -3 (d) 3 (e) 75\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, 1, 3, 1\/12, 2 in decreasing order.\nAnswer: 3, 2, 1, 0.2, 1\/12, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*o - 107*o + 1681764. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132 - -10312?\nAnswer: 10444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12459 - 405 = -68*o - 133*o. What is the highest common divisor of o and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.278 - -5.478. What is the closest to j in 4, 0, 0.3, -25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, -241, -466, -657, -802, -889, -906?\n\"Answer: 2*q**3 - q**2 - 258*q + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 49 - (3 + -13) - 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -12) + (1 - (1 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, 5, 47, 19, -2 in decreasing order.\nAnswer: 47, 19, 17, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620 and 2356.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.220802 to three dps.\nAnswer: 0.221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r*(r*(r*r**(2\/7))\/r)\/r)\/(r**(-1))**(-7\/2) assuming r is positive.\nAnswer: r**(-115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.211 and 0.4?\nAnswer: 4.4844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -550, -554, -560, -568, -578, -590, -604?\n\"Answer: -q**2 - q - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*t + t - w, 0 = -4*t - 3*w - 82. Let z be (0\/2 - 1)*t. Suppose 6*h = z + 5. Solve 4*q - u = -0*u + 12, h*u = 4*q - 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 + -10 + 12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14573 - -14477) + 65 + 1\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 - 1*5278\/4089?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*w, 67*y - 68*y + w = 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46433 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 3, -7\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 423955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 11. Let g = -2663 + 2665. Calculate t(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*m = -1, 4*n + 8 = -m + 1. Let v be (9\/n)\/((-6)\/8). Solve 2*x - v = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -1\/2. Let i = -1\/10 - -3\/5. Which is the biggest value? (a) -6 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(155\/(-42)) - 6\/15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8 and -532.\nAnswer: 1489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 18 = -8*z. Suppose -14*p - z*p = -7552. Suppose 5*f + p = 1422. What are the prime factors of f?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 54*x**2 + 923 - 5*x - 2*x - x - 925 - 2*x**3 as m + b*x**3 + s*x + r*x**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2001 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 3, -1, -32 in descending order.\nAnswer: 4, 3, -1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 55*b**3 - 3*b**2 + 57*b**3 - 3*b**2 + 2*b**2 as g*b**3 + v*b + m*b**2 + j and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172 by -38209.\nAnswer: -172\/38209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 524 = -126. Let d = 12 + o. Let i = 207 + d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 392 = -4*j. Let v = 52 - j. Solve -2*z + 2*h = -12, -v*z - 4*h + 8 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 29938980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 147454 divided by 2\nAnswer: 73727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {y: 3, z: 1, o: 3, i: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81348625 divided by 112205.\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 748, 1857, 3706, 6295, 9624?\n\"Answer: 370*x**2 - x + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -27. Let i(b) = -b**2 - 19*b - 1. Does 29 divide i(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:39 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1015514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 + 6*g**3 - 9 + 0*g + 2 - 9*g + 0*g. What is the units digit of t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2081609\/14 and 148685 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -354578028, -354578027, -354578026, -354578025, -354578024, -354578023?\n\"Answer: h - 354578029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*f = -13, -5*f = 5*a + 2 - 12. What are the prime factors of 2474\/6 + (-132)\/18 + a?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -19*d - 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2. Let z(u) = -221409*u + 1. Give z(o(a)).\nAnswer: -221409*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*m + 15 = 0, 5*h - m - 10 = 3*m. Suppose -j = -4*i + 218, -9*j + h*j + 6 = 0. Calculate the highest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 8:16 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3 + -25160*9\/(-6). Suppose -23*m = -14*m - r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -29, -118, -267, -488, -793?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 5. Let z be 46\/(-10) + (-2)\/5. Let m(t) = -3*t + 5. Let b(h) = -72*h - 50. Let n be b(5). Let w = 414 + n. Calculate w*m(p) + z*j(p).\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 691*b + 37280. Give j(59).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3042997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 - 4*u - 7. Give q(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*g**2*m - 2*f*g*m + 2*f*g*o**2 - 2*f*o**2 - 2*g**2*m*o**2 + 5*g**2*m*o - 4*m*o**2 wrt g.\nAnswer: -4*f*m - 4*m*o**2 + 10*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 8. Let u be (-1)\/4 + k\/4. Sort 4, -5, u in decreasing order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029896762 rounded to 5 decimal places?\nAnswer: -0.0299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76962 - 2047. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -2 - -12*(-221)\/(-204)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t + 362. Let i(r) = -19*r - 544. Calculate -5*i(q) - 8*w(q).\nAnswer: -q - 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39261 and 3983?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - -11) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 1:21 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 2, s: 13, o: 2}. Give prob of sequence soso.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:53 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 1. Let j(l) = -3*l**3 - 6*l**2 - 2*l + 2. Let h(w) = -8*w**3 - 20*w**2 - 7*w + 6. Let k(b) = -2*h(b) + 7*j(b). Determine k(t) - 2*x(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664 and 367401492.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12205 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((3 - 2) + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 3*b**2\/2 - 2*b - 2. What is the lowest common multiple of 12 and w(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56740057.\nAnswer: 11, 23, 137, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 + -2. Let r = 5.0472 - 0.0472. Sort r, 0.3, t in increasing order.\nAnswer: t, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -f + 10, -3*f - 486 = -35*y - 212 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.469 + 883.069. What is c rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/4139, -0.15, 2\/7, 0, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**3\/2 + 2. Find h, given that w(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -28. Let q = -1.162 - -11.162. Sort -1, q, t in descending order.\nAnswer: q, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -6*x + 45*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7718 is divided by 558?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-293012)\/(-2224)*(-4)\/(-17)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072675 is divided by 513?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/1316)\/(34\/((-7888)\/145)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(99)*1 - sqrt(99))*2*2)\/(sqrt(54)\/(sqrt(6) + sqrt(54) + sqrt(6)) - -3*sqrt(1296)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + ((sqrt(1053)*-1 - sqrt(1053)) + sqrt(1053))*6)**2 + sqrt(1053).\nAnswer: 9*sqrt(13) + 26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -11*p**4\/4 + 17*p**2 + 30. Find the second derivative of o(j) wrt j.\nAnswer: -66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51699?\nAnswer: 3, 19, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4198 times -0.2\nAnswer: -839.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - z - z - 2*z - 3 + 3 + 0*z + z + z + (-2 - 2 + 2)*(5*z - z - 2*z) + 0*z - 5*z + 4*z)*(3 - 6 - 3) to b*z + i and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 702*p**2 + 1869 - 620 - 624 - 624 to q*p + t*p**2 + x and give t.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1036 = 354. Suppose 5*g + l = 337, 6*l - l = -4*g + o. What are the prime factors of g?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 - 129. Which is the third biggest value? (a) 0 (b) q (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3255827*t - 2256 = 3255874*t for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from wtwttwwtkatagttwt?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 4\/9, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -663 + 0?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 0.0022.\nAnswer: 0.4022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**6\/360 + r**5\/30 - r**4\/6 + 7*r**3\/3 - 4. Let q(a) be the third derivative of d(a). Factor q(v).\nAnswer: -(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1713707 + 1713707. Let h = 7.2 - -0.8. Which is the nearest to p? (a) -19 (b) -2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371450?\nAnswer: 2, 3, 5, 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2505 + k**2 - 7522 + 2506 + 0*k**2 + 2511. Let m(n) = 51*n**2 - 2*n. Let c(p) = -2142*p**2 + 85*p. Let f(y) = 2*c(y) + 85*m(y). Calculate b(f(h)).\nAnswer: 2601*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -89.6 (b) -0.1 (c) -1 (d) 1 (e) 3462\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 24, 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/4))**(-6)\/((n\/(((n\/n**4*n)\/n)\/n)*n)\/n**8) assuming n is positive.\nAnswer: n**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3930, -2, 19374?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9478327476.96840054 + -9479349220.9124. Let r = s + 1021744. Let a = -0.056 + r. Round a to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f - 2. Let z(p) = 11*p - 6. Suppose 6*s - 4 = 8*s. Let o = -12 - 3. Let x be s + (-5)\/(o\/(-18)). Determine x*h(c) + 3*z(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 104389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 25*w + 4. Let m be l(-13). Let r(u) = 84*u + 2. Let b be r(2). What is the highest common divisor of b and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -270 != -227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20007327 - 0.4\nAnswer: 20007326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 527.1?\nAnswer: 526.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36859 - -36860. Suppose -2*q + v - 9 = -0*q, -9 = q - 2*v. Put q, 2, 0, o in decreasing order.\nAnswer: 2, o, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*s - 31 = 0, -16*x - 44 = -2*s + 17 - 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27217950 and 0.0127.\nAnswer: 27217950.0127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 11:13 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13402404 (base 5) in base 10?\nAnswer: 137854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/6)\/((-1)\/(-3)). Let o(t) = -t**2 - 6*t + 9. Let a be o(-8). Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, w: 12}. Give prob of sequence bwbb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 + 31*l**2\/3 + 59*l\/3 + 29\/3.\nAnswer: (l + 1)**2*(l + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:24 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(425) - sqrt(153)*2).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 1. Let o(r) = -2*r**3 - 5*r**2 - 5*r + 5. Suppose 0 = -5*i + 2*i + 15, 0 = -2*h + 4*i - 30. Determine h*k(z) - o(z).\nAnswer: 2*z**3 + 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013273149722 rounded to seven dps?\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d - 3. Let u(q) = q + 4. Let z(s) = -g(s) + 5*u(s). Is z(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 46, 44, 26, -14, -82?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62444 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {c: 6, s: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 22*g - 24. Let v = 614 + -593. What is j(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1721 = -3*j + 2*j, j = 2*i + 1147. Let w = -571 - i. Solve 15 = -3*b, w*b + 5 + 13 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 6:47 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2781*m + 2959 wrt m?\nAnswer: 2781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 1 + -1 + -50 + (-25 - -50)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 252?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2111663.6 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (452*y - 33 + 8 + 23)*(2*y + 3*y - 6*y)*(15 - 15 + 6*y).\nAnswer: -2712*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 543415 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -3*n - 14. Let q = 52 - n. Suppose -s = -h - 4, -h + 32 = -s + 4*s. Calculate the highest common factor of q and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11243461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24375079 and 6?\nAnswer: 146250474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155 + 469\/3. Let m be (-22)\/72 + 6\/27. Let j = -0.162 + 0.062. Sort y, m, j, -2.\nAnswer: -2, j, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/13405 or 1?\nAnswer: -1\/13405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4974180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235.2 + -235. Which is the nearest to j? (a) -0.5 (b) -4\/7 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 147. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -368 + -5446. What is the hundreds digit of 5\/(-20) + w\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 + 28*o + 26. Give w(13).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -74b - -24?\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1063.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -28. Solve a*t + 3*v = -t - 29, 3*v + 9 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8*s + 10 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2290*n - 3113*n = -463583 - 214762 + 62403 for n.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0809 - 0.1409. Suppose m = -5*w + 20, -10 = -5*w + 2*w - m. Which is the nearest to r? (a) -2 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3\/3 + 384*k**2 + 110207*k - 665858\/3 = 0.\nAnswer: -577, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8032*t. Let y(h) = 0*h**2 - 97 + 48 + 49 + 2*h**2. Determine l(y(r)).\nAnswer: -16064*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1631.3 + -1631.2. What is the closest to 2\/7 in -1\/4, 2\/7, a, 1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 - 2908032*y\/7 - 1057081264128\/7.\nAnswer: -2*(y + 727008)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1006312447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:59 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4204*n + 155880 = 781*n - 113310 for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5829549018 to the nearest integer?\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/l**(2\/3)*l**1*l**(-4) assuming l is positive.\nAnswer: l**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -18. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-160) - (-2)\/(-4).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/73327986 and -5\/8514.\nAnswer: 806607846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 39*u**2 + 2*u. Let h(x) = 10*x**2 + x - 1. Determine d(p) - 2*h(p).\nAnswer: 19*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i**2 + 50*i**2 + 4066252*i - 4066255*i.\nAnswer: 15*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**7\/105 - u**6\/5 - 9*u**5\/10 + 10*u**4\/3 + 12*u**2 + 5*u + 2. Factor p(q).\nAnswer: -2*q*(q - 1)*(q + 5)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**4 + b**4 - 3*b**4 + (-4*b - b - 2*b)*(-12*b**3 + 0*b**3 - 16*b**3) to the form w + n*b**4 + f*b**3 + d*b**2 + j*b and give n.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834 times -2.2?\nAnswer: -6234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -77. Solve -4*z + i*f + 16 = 0, 3*z - 2*f = -f + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*b - 99 = -5*k - 94*b, 0 = 5*k - 2*b + 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**5 + a**4 + 26628251*a**2 - 107733147*a?\nAnswer: -60*a**3 + 12*a**2 + 53256502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 6*d**3 - 17*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 567b?\nAnswer: -5679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q - 5*b - 130, 4*q - 5*b = -59. Let r be q\/6*24\/(-21). Suppose 0 = 2*t - t. Solve t*c = -c - r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39780 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in -22, 4\/3, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Let b = 0 + m. Suppose -25 = -4*a - 5*x + 4*x, b = 4*x. Solve -2*p + a = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/73 (b) 3\/11 (c) -1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4 - 1)\/((-1)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2100 - -12?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 79 = -4*h. What is the least common multiple of (-8)\/(-1) + -3 + -1 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/((-4)\/(-1)) - -5331. Suppose 9*f - 12992 - a = 0. Suppose 0*m + 4*m = f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2. Let s(z) = 1. Let r(g) = g + 5. Let c(d) = 3*r(d) - 15*s(d). Let o(i) = -143*i. Let f(a) = -165*c(a) - 3*o(a). Determine b(f(m)).\nAnswer: -4356*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -9*i**4\/2 + 2*i**2 + 5. What is the second derivative of u(p) wrt p?\nAnswer: -108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1fc286?\nAnswer: 1fc28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/530 and -51\/1342?\nAnswer: 355630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 - (-64)\/24. Suppose 0 = -k*l + 17 + 23. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 0.41, 13, 0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 3*u + 2. Let p be o(5). Let d(i) = -p*i**2 + 18*i**2 + 0*i**2. Let l(v) = -13 - 2*v + 2*v + 13 - 2*v. What is d(l(c))?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 156*t**2 + 764*t - 924.\nAnswer: 4*(t - 1)*(t + 7)*(t + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 871*v*x**3*y**2 - 3*v*x**2*y**3 - v*y**2 + 23*x**3*y**3 wrt y.\nAnswer: -18*v*x**2 + 138*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 214 - -5?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114.81 + 114. Let s = -0.6583 + -0.1247. Let g = s - x. Round g to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 41*u\/2 - 230.\nAnswer: (u - 92)*(u + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2169.9 + -2170. Let x(h) = -4*h + 19. Let l be x(7). Sort -5, l, w in descending order.\nAnswer: w, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, w: 9}. What is prob of sequence oow?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*r - 3069 = 6315 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7) + 5 + -11 + (-4 - -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - -1454?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 7}. What is prob of picking 1 p and 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 557165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*i - 83, 3*s - 131 = 6*s + i. Let k be 1870\/s*(-8)\/10. Sort 2, -3, k in ascending order.\nAnswer: -3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11218769201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.7239 nanometers to millimeters.\nAnswer: 0.0000047239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u. Let x(i) = -2*i**2 + 372*i - 12. Let a(q) = -6*q**2 + 1115*q - 33. Let m(n) = -4*a(n) + 11*x(n). What is j(m(o))?\nAnswer: 8*o**2 - 1472*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 5. Let v be t(-7). Let g = v + 18. Suppose 3*y + 4*d = 36, -2*d + 0*d = -g. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 0*w**3 + w**3 + 30 + 24.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53\/4 of a milligram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8889600 to the nearest one hundred thousand.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36704 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*l**2 + 7*l**3 + 10*l**3 - 32*l**3 - 160*l**2.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n + 3. Let y be r(2). Let s = -907 - -906. Is y less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3822498 - 2623447. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83899000 to the nearest 1000000.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 727 - 719. Suppose -8 = -9*s - j. Solve 3 = -4*t - s*a + a, 4*a + 24 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(76)\/(2*sqrt(4))) + 2)**2.\nAnswer: 2*sqrt(19) + 35\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 115*o**3 - 13*o**2 + 25*o + 4. Let i be x(2). What is the highest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*c + 363, -3*r - 373 = r + 5*c. Let v = -42 - r. Suppose -3*x - 2*x = -v. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1173\/92*(-10)\/75*-10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 3*y**2\/2 - 1. Let k(m) = -44*m + 293. Let t(s) = 10*s - 64. Let u(o) = 5*k(o) + 23*t(o). What is j(u(c))?\nAnswer: 30*c - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 2*p**2 + 3*p**2. Let a(m) = -m + 15 + 17 - 32. Give u(a(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**2\/3 + 988*v\/3 + 1680 = 0. Calculate v.\nAnswer: -5, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56.22 + -1.22. Let u = t - 53. Which is the smallest value? (a) u (b) 0.4 (c) 8 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194.8 + -996.8. Let c = g + 801.99999908. What is c rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/7)\/b**7)\/(b**30\/b*b)**(9\/7) assuming b is positive.\nAnswer: b**(-316\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/21 + (-372)\/(-21) + 270 + -276. Let l(f) = -f**2 + 3*f + 3. Let z be l(3). Suppose z*a - 18 = -0. What is the greatest common divisor of a and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 7*k**2 + 2*k + 6. Let o be m(7). Suppose -4*r = r - o. Suppose 0 = -r*d + 2*t + 32, -3*t + 7*t = 4*d - 28. 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 196154224 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 16}. Give prob of picking 1 n and 1 m.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 29 + 31. Suppose n*y - 9*y = -201. Let z = 111 - y. Calculate the greatest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s - 276 = 8*s. Solve -s*p + 20 = 8*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40482346 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 33\/5*k + 3\/5*k**2.\nAnswer: 3*(k + 1)*(k + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*n - 8 = 0, 2*y + 3*n - 24 = n. Suppose -j = -0*j + y. Let x = j + 10. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3082 - -3084. Which is the third smallest value? (a) g (b) 10 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 1\/3 (c) 8 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/8)\/((-70)\/(-12)))\/(6777\/2510).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*(sqrt(22)*2)\/sqrt(2)*-5 - (-4*1*sqrt(99) + 0 + 4))**2.\nAnswer: 324*sqrt(11) + 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6*k**2 - 178*k + 1 - 4 - 26088*k**3 + 26087*k**3 + k**4 to y*k**3 + q*k + m + v*k**2 + u*k**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -110\/51 in 1, -0.22, 109?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 50. Suppose v - o = 6*v - 13, 7 = s*v + o. What is the smallest common multiple of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 29. Let v(u) = -12*u + 55. List the prime factors of v(n).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*m**2 - 64*m**3 + 117*m**3 + 198*m**2 - 135*m**3.\nAnswer: -82*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 374 + 374.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 473 = 2*v, v + 684 = 4*v + k. What are the prime factors of v?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 413?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 25*l**2 - 27*l + 40. Let m be v(-24). What is the units digit of 1\/1*(m - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1995, -1995, -2007, -2037, -2091?\n\"Answer: -h**3 + 7*h - 2001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82817 is divided by 16562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*b**2 - 3432 + 3432.\nAnswer: 258*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*f + 7 + 3, -2*f - 5 = -x. Suppose 0 = 5*p, -134 = 2*k - f*p - p. Let w = -32 - k. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 5, v: 3, a: 4, u: 5}. What is prob of sequence ata?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(252)*-1)**2 + (sqrt(252) + 1 + sqrt(252) + -1 + sqrt(252))**2 - (1*((2*sqrt(84) - sqrt(84)) + sqrt(84)))\/(sqrt(588)*-2 - sqrt(12)).\nAnswer: 2*sqrt(7)\/15 + 8568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2 + 9)*1)\/1. Let c = -7 + l. Solve q - 9 = c*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4442953512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 4589852.\nAnswer: 4589855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6394005523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1270*c. Let d(x) = x**2. Give d(v(z)).\nAnswer: 1612900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-132) + (-50)\/(-40).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (47 + -44)\/((-2)\/1052*(-2)\/3)?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 9165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*m - 5*m - 24, -43*m - 12 = 3*b - 22*m - 24*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 2 - 2)*(-1277 - 2279 + 812 - 34 - 1100 - 1957) to c*k + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -1.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 873629210 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*h - 64 = -78*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + -8 - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/10 (b) -2 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 20792710190 and -0.127.\nAnswer: 20792710189.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let c(s) = -9*s - 5. Let k(i) = 5*i + 3. Let t be (-6 - -3 - -9)\/(-2). Let f(r) = t*c(r) - 5*k(r). Calculate f(o(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 + 5*f**2 - 133.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-230)*5\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -54*o + 22900 + 51592. Round o to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 3880076.\nAnswer: 27160532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, -0.9, -1.93, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 187.1*-3302\nAnswer: -617804.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*i - 7030 = 7094 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - -0.07. Let d = 0.08 + v. Let x = 1.95 - -0.05. Which is the smallest value? (a) x (b) d (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s\/(s*s*s*s*s**13*s))\/s)\/s)**(-2\/65)\/((s**(-1\/13)*s)\/s)**(-1\/14))**20 assuming s is positive.\nAnswer: s**(998\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 626 + -625.9. Sort 2\/11, -5, u, 0.9 in decreasing order.\nAnswer: 0.9, 2\/11, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 26090*h**2 + 4*h + 2. Let f be k(-2). Suppose 1015646 = -b - f. What is b rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1266 and -0.5.\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of ((-3 - -2) + 0)*-79*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21 and -621.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20957.\nAnswer: 19, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/20 - o**4\/12 + 27*o**2\/2 - 7*o + 1251. Let g be 0\/(0\/(-1) - -2). Calculate b(g).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 4*k - 3*v, -3*k + v = -2 - 47. Calculate the greatest common factor of 40 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296406421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. What is the remainder when 7 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbrbbrbbbr. What is prob of picking 2 r and 2 b?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15173797 and 0.3.\nAnswer: -15173796.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 11*a**2 + 44*a + 31. Let h be r(-14). Let p be h\/8 - 364\/(-224). What is the third derivative of p + 2*i**6 - 4 - 9*i**6 + i**4 + i**2 wrt i?\nAnswer: -840*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45776476 rounded to four decimal places?\nAnswer: -0.4578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -2\/11 (c) 1 (d) 4 (e) 14.87 (f) 23.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -13*q + 6*q. Let u be 8\/q*(-15)\/(-4). Do 2 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffsfff. What is prob of picking 1 f and 1 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 4}. What is prob of sequence nnn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 1\/8*i**4 - 8*i**2 + 0*i**3 + 0*i + 0. Give d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 14*f**2 - 3*f - 15. What is the remainder when w(-14) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -705*m**3. Let q(v) = -v**2. What is 2*q(i) + z(i)?\nAnswer: -705*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1111100001110110010011001?\nAnswer: -1111100001110110010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3356, -3350, -3346, -3344, -3344, -3346?\n\"Answer: -q**2 + 9*q - 3364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.9972 millimeters in nanometers?\nAnswer: 12997200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 7:53 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1652.58428596?\nAnswer: 1649.58428596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.07166 kilograms in tonnes?\nAnswer: 0.04307166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Let y be (4\/5)\/(i\/5). Let f = 3.35591 + 1.64409. What is the closest to f in -4, 1\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798627084 a multiple of 4659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21946 - 21998. Let i = -81 + 32. Which is greater: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 314500*c*s**3 - c*s**2 - 51*c + s**3 - 216*s + 10324 wrt c?\nAnswer: 314500*s**3 - s**2 - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -338*p + 1729. What are the prime factors of i(-23)?\nAnswer: 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7874030343 + 7874030151.99999915. Let v = -191 - r. Round v to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**9\/u)*u)**(-29)\/(u**(2\/45)*u*u\/u**8) assuming u is positive.\nAnswer: u**(6793\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/5 - 524*q**2\/5 + 6894*q - 33948\/5 = 0. What is q?\nAnswer: 1, 123, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiqiiiqiqiqjqiqq. What is prob of picking 3 q?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 0 + 0*b**3 - 1\/12*b**4 + 3*b + 0*b**2. Let d(l) = -2*l. Calculate d(u(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369247.6l to millilitres.\nAnswer: 369247600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1130\/(-10)*(0 - -1)*-1. Suppose -8*k + 647 + l = 0. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-22)\/(-12 + (-46)\/(-4)) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/6)\/((63\/12)\/(-7)). Let d be u\/5*25\/10. Let m be ((-534000)\/(-9))\/(d + (-28)\/30). Round m to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 479, 1079, 1919, 2999?\nAnswer: 4319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-6)\/20)*14\/546*(-1620)\/450.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*s = -1 + 61, -44099*m - s - 69 = -44094*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 10*d - 39. Let f be b(13). Solve -4*h - h = f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 352 = 48*t - 145 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbetk. What is prob of picking 1 k, 1 m, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 97064083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(12\/(-24)) + 1*3. Is 1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3396 is divided by 170?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 3 + 3 + (5*m + 11*m - 4*m)*((-1 + 1 - 1)*(0 + 3 - 4) + 8 - 8 + 6).\nAnswer: 85*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - 5*t + 0*t + 5.\nAnswer: -11*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**4\/24 - l**3\/2 + 2*l**2. Let p be w(6). Suppose 5*k - 4*o = k + 308, -p*o = -6. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j**(-1\/3)\/j)\/j*j)\/j)\/j*j*j\/(((j*j**(4\/5)*j*j*j)\/j)\/j))**(-1\/2) assuming j is positive.\nAnswer: j**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415699798?\nAnswer: 2, 2411, 86209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 2*w - 1. Let f be b(6). Let n = 88 + f. Is n a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = 2*f - 108. Let m = f + -172. Let x be m\/(-6)*(-4 - -1). What is the greatest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21998 or -22818?\nAnswer: -21998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1051130 = 34*g + 314588 - 256870. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**5 + 0*s**5 - 6*s**5 + (0*s**2 + 0*s**2 + s**4)*((2*s + 4 - 4)*(-3 + 1 + 0) - s - s + s + 24*s + 57*s + 11*s).\nAnswer: 84*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(896)\/sqrt(8)*-6 + (-1*sqrt(1008) - sqrt(7)) + 5)**2*1.\nAnswer: -48040 + 1850*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 156.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 2*v + 63*v**2 - 68*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((8\/6)\/((-11)\/(-66))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.377 - -1.653. Let i = 1.83 - p. What is the second smallest value in 3\/4, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 60. What is the second smallest value in y, 0.4, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/12 + 2*h. Let u(x) = -2*x - 85 + 85. Determine n(u(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 127110693 divided by -6\nAnswer: -42370231\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3589433\/3108084 + -4\/37001. Find the common denominator of d and 95\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71361133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/22*4\/3. Put 0, c, -9, 4 in ascending order.\nAnswer: -9, 0, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6048 - -5?\nAnswer: -6043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:32 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14\/(-8)*4*-1 and ((4\/(-10))\/1)\/((-5)\/(-25)) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + 2 - (-1 - -8). Suppose 11 + 39*c - 3 + s*c**2 - 4*c**2 + 14 + 14 = 0. Calculate c.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -373*f - 479. Calculate the smallest common multiple of 12 and k(-2).\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -1.3. Let o = 2 + -17. Let g = 15.1 + o. What is the nearest to n in -3, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*b**6 - 10 + 2*b + 2*b**6 - 8 + 16 - 36*b**5 + 443*b**2 + b wrt b.\nAnswer: -7560*b**3 - 2160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let x(q) = q + 8. Let h(y) = -5. Let a = 554 - 547. Let l(f) = a*h(f) + 5*x(f). Let i be (-1)\/((1 - 0)\/(-3)). What is i*b(n) + l(n)?\nAnswer: 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/5)\/(14\/(-105)). Let s(l) = -2*l - 5. Let y(h) = -h**2. Let d be y(-2). Let t be s(d). Calculate the greatest common factor of f and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y - 2. Give q(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 3. Let q be l(0). Let i(a) = a**2 + a - 3. Let v be i(q). Solve 4*z = 2*f, v*z = -f + 6*f + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -y - 4172. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333783?\nAnswer: 3, 37087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 + (-1 - 2))) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.42714945 to 0 dps.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2, -47\/5, -3\/5, -0.166?\nAnswer: -0.166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 623\/1780*(-2)\/7.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(352)*-1)\/sqrt(11) + 5 - (-3*sqrt(18) + sqrt(1078)\/sqrt(11))**2.\nAnswer: -3*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 793335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/88*14979\/(-18). Let c = h + 719\/11. Let k = 233\/6 + -1220\/33. Calculate the common denominator of c and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*d - 299, 2*b - 205 = -2*d + 101. Suppose 0 = 2*j + 2*j - d. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 18 = -2*r. Let c = 4 - 3. Sort c, r, -1 in descending order.\nAnswer: r, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 7*i - 6. Give x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 8009b1a?\nAnswer: 8009b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 15486*o - 92950. Give d(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -45. Suppose l = -18*x + 23*x + 805. Let z = 289 + x. List 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 units digit of 185*((-24)\/40 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1424\/704 + (-43 - -41)?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - 2*o + 4*o)*(-4830 - 3419 + 606 + 1261)*(-2 + 1 - 1).\nAnswer: -38292*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(91)*2 - sqrt(91)))\/((-1*sqrt(224))\/sqrt(8)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, k: 11}. What is prob of picking 1 p and 1 k?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 783956056 to the power of 1\/4, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3141.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11492102.\nAnswer: 2, 17, 227, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10703)\/(-819) - (-2)\/13. Suppose 0*s - 3*s = 39. Let z = s + t. What is the third biggest value in 3, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 38*q**3 - 37*q**3 - 35*q**3 + 59*q**3.\nAnswer: -51*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = 4*f - 446. Sort -3, 19, f in descending order.\nAnswer: 19, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220495 divided by -2?\nAnswer: 220495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133 + -34. Suppose h*p = 90*p + 5445. List the prime factors of p.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**3\/2 - 30*w**2 - 175*w\/2 = 0.\nAnswer: -7, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 132789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/69 (b) -3\/4 (c) 95\/116 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 7:42 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4587 + 16718. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*y - 181*y + 22 = 3*u, 3*u - 14 = -y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, l: 3, h: 3, z: 7, d: 2}. Give prob of picking 1 m, 1 h, and 1 d.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, 0, 33, 106, 231?\n\"Answer: 2*f**3 + 2*f**2 - 15*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 1, s: 7, y: 1}. Give prob of sequence vss.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkhkuzzpzupkzz. Give prob of sequence pz.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q - 1. Let h be k(-1). What is the third derivative of 3*z - 3*z + 123*z**2 - 60*z**2 - 26*z**h wrt z?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-2)\/6*-9 + 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven fifteenths of a minute?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*((-3)\/9)\/((-10)\/30)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -564, 1409, 4702, 9309, 15224, 22441?\nAnswer: 30954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 57803, 54443, 51073, 47687, 44279, 40843?\n\"Answer: -v**3 + v**2 - 3356*v + 61159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 = -p + 2*p, p = 5*f + 11. Let g(m) = 13*m - 75. Let r be g(p). Solve -r*j - 10 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -2*l - 4*q, 3*l - 12 - 78 = 3*q. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/11384 and 113\/18.\nAnswer: 102456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -506 in 4\/7, 6934, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -8.9. Suppose 2 = -4*k + 22. What is the third smallest value in x, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1832\/15 - 122. Let s = 480 + -483. Let p = 3 + -2.8. Which is the smallest value? (a) i (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 1 + 10 - 4 + 0*x. Let a be c(5). Let h(m) = -8*m**2 - 5*m**a + 10*m**2. Let j(v) = -2*v**2. What is h(j(b))?\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n + 39*n - 22*n - 27*n - 8*n.\nAnswer: -51*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from gaaagassaasagass.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Suppose 0*c + c = -3. Let k(m) = 6*m + 3*m**2 + 3*m - 5 - 2*m - 2*m. Let d(o) = 2*o**2 + 3*o - 3. Let t(w) = c*k(w) + 5*d(w). Calculate t(r(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/7, -5, 6, -4, -23.3 in increasing order.\nAnswer: -23.3, -5, -4, -3\/7, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42797902*k**3 - 50586605*k**2 wrt k.\nAnswer: -256787412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2288774980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -y. What are the prime factors of y - -11 - (0 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-2 - 2 + 6)*(-x**2 - 56086*x**3 + 28053*x**3 + 28042*x**3 - 11*x).\nAnswer: -18*x**3 + 2*x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 13) in base 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10000001313 (base 4) to base 9\nAnswer: 1867476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 21328 (c) 5 (d) 0.058 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/28*-9)\/(1800\/(-84)). Let d(j) be the second derivative of 0*j**2 - 3*j + 0*j**4 + 0 - 1\/50*j**6 + 0*j**3 - q*j**5. Determine r, given that d(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m - 9. Let b(y) = -4*y - 4. Let s(t) = 5*b(t) - 3*w(t). Let j be s(-4). Suppose -2*n + 120 = j*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3694550756.\nAnswer: 2, 13, 71049053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -4\/5, 0.1, -0.007, -30?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -7523.\nAnswer: -7523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i + 2. Suppose -4*t + 31 = 5*o, -2*o - 3*o = -t - 11. Let r be y(o). Let w = r - 9. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227 - 895\/4. What is the common denominator of -81\/8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 6. Let i be v(-5). Let a(w) = 8*w**2 + 0*w + w**3 + 1 - 3*w - 7*w**2 + 8*w**2. Is a(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 4*s + 8. Suppose -118*t**2 + 72 - t**3 - 119*t**2 + 227*t**s - 12*t = 0. Calculate t.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4*o = 14, 39*v - 38*v = -5*o + 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089623 is divided by 121068?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.47 + -360.47. Let f = 358.79 + q. Let z = 0.79 - f. What is the nearest to z in 2\/13, 2, 9\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -50. What is the greatest common factor of 36 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1158 + 1182. Solve 4*c + 4*g + o = 0, -5*g = 4*c - 0*g + 27 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + o + 0*o = 3, -3*o + 9 = 5*u. Let h = u - -7. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35\/4 + (3 - (-60)\/(-16)). Suppose -j*b = -14*b. Suppose -c - 4*n + 56 + 0 = b, -c + n = -36. What is the remainder when 117 is divided by c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 7*b**2 + 8*b - 5. Let v be 96\/15 + (-4)\/10. Let m be w(v). Find the common denominator of (-32)\/14*m\/(-3) and -64\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/101 and 31\/48809?\nAnswer: 4929709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = -3*i. Suppose -3*r = 7*l - 3*l - 52, -4*r - 5*l + 71 = i. What is the least common multiple of r and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kga when three letters picked without replacement from {k: 5, g: 1, a: 1, b: 3, p: 4, m: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*y + 100*y + 100*y + 97*y + 95*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/12)*p*p*p**(2\/17))**21 assuming p is positive.\nAnswer: p**(4333\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -36*k + 31*k. Calculate the greatest common factor of k and 300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 5*z - 6. Let n be c(-5). Let l be (26\/8 - 3)*n. Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -10) + (-17 - -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (2 - 2) - 0. Suppose g = r - 3*r + 2, 4*a + 5*r = 17. Solve -a*b = -3*s + 3, 3*s = b + 4 + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (sqrt(114) - -5*3*sqrt(114)) - sqrt(114))*4*-1)\/((sqrt(288)\/(sqrt(6) - sqrt(150)))\/(sqrt(512)\/sqrt(4))).\nAnswer: 1024*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1181 or 2339?\nAnswer: 1181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:03 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17843691.02 - -245\nAnswer: -17843446.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10162\/12 - -5*(-2)\/(-60). Suppose 449 = 3*j - b. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 29. Let j(p) = -2*p**2 - 11*p + 7. Let w(z) be the third derivative of -z**5\/60 - 5*z**4\/24 + z**3\/2 - 2*z**2. What is g*w(c) - 4*j(c)?\nAnswer: -c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676205 is divided by 5324?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 464?\nAnswer: -464.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 80 = 4*j - 52, -4*k + 172 = 4*j. What is the remainder when 148 is divided by j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244345 - -31?\nAnswer: -244314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1. Let n(g) = 7*g**2 - 1. Give n(f) - x(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllxx. What is prob of picking 3 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6748, 27052, 60820, 107992, 168508, 242308, 329332, 429520?\nAnswer: 542812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(88))\/((sqrt(88)*-2)\/sqrt(11)) + 4)*-5.\nAnswer: -20 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15004412 - -4?\nAnswer: -15004404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 1, h: 1, n: 1, c: 1}. What is prob of sequence hcf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + 33*u**2 + 15*u + 65. Give m(17).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4 - 188*v**3 + 3795*v**2 = 0.\nAnswer: 0, 23, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192)\/sqrt(4))\/(-4*5*sqrt(12)\/sqrt(3))*-4.\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = h + 9, 4*m - 9*m - 13 = -3*h. Let w be (1\/(-2))\/(m\/8). Let c = -180 - -180. What is the third smallest value in -0.4, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 4*sqrt(612)) + 1 + 2 + sqrt(17) + (3*sqrt(2057)*-4*2)**2.\nAnswer: -22*sqrt(17) + 1184835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 2, g: 1, p: 4}. Give prob of picking 1 v and 1 g.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -171214016636 and -0.3.\nAnswer: -171214016636.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -60. What is the units digit of 2\/6 + r\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/507 - -1048\/8619. Factor 0 + 0*d**2 + g*d - 2\/17*d**3.\nAnswer: -2*d*(d - 1)*(d + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133049.\nAnswer: 7, 83, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 7990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48790?\nAnswer: 2, 5, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 590. What are the prime factors of q?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356111548 divided by 70018\nAnswer: -5086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - h + 103, 0*h + 88 = 5*f - 4*h. Solve 2*g = -2*g + 4*d - f, 3*g + 13 = 2*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2548 divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4117, -4087, -4031, -3937, -3793, -3587, -3307, -2941?\n\"Answer: 2*h**3 + h**2 + 13*h - 4133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 10) to base 8.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1411\/484 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4 - 266*g**2 + 94*g**2 - 16*g**3.\nAnswer: -16*g**3 - 172*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 264086 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 17*i**2 + 7*i - 12. Let d be m(-8). Let c = d + -5099\/5. Factor -c - 2\/5*k**2 - 3\/5*k.\nAnswer: -(k + 1)*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.0587217 to 1 decimal place.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.441 - -0.041. What is r rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -0.27 (c) 345 (d) -1\/2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5 - 444*u**4 + 3930*u**3 - 6532*u**2 + 3045*u = 0 for u.\nAnswer: 0, 1, 7, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -5*o**3\/3 - 2*o + 1571. Let b(u) be the first derivative of -14*u**3\/3 - 3. Determine b(t(n)).\nAnswer: -1400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 43 = -9. Which is smaller: -65\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y + 45. Let t be m(-11). Suppose -2*c + t = 4*c. Solve 2*k = b + 12, 0 = c*k - 4*b - 10 - 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c - 13*c + 101249 = 3737. What is the smallest common multiple of c and 2390?\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - -12. Suppose -2*t - t + h = 0. What is the least common multiple of t and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**3\/6 - 7*n**2\/2 - 24*n - 129. Factor f(j).\nAnswer: -(j + 6)*(j + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 4)*(-16)\/(-2). Suppose -k + 3 = -z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -40. What is the remainder when (-5)\/(-10)*-1*-78 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -41*q. Let m(r) = 1051 - 4*r**2 - 526 - 525. Calculate m(t(g)).\nAnswer: -6724*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.022 (b) 0.058 (c) -0.6 (d) 84 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 3.7. Let h = m - -2.1. Let d = -1 - h. Round d to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 10*r**2 + 9. Let w(k) = -4*k**2. Determine z(w(m)).\nAnswer: 160*m**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.2. Let n = -0.3 + 0.7. What is the closest to q in -5, n, -4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = -4. Suppose -o*y + 0 = 2. Let i be 16 + y\/(-1)*-2. Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 + -88. Let n(o) be the first derivative of 0*o**j + 2\/27*o**3 - 2 - 1\/18*o**4 + 0*o. Suppose n(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 15*b**4 + 2*b**2 + 2*b**5 - 6*b**3 + 4*b - 12*b**4.\nAnswer: 2*b*(b - 2)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1849\/5 - 387*p - 87\/5*p**2 - 1\/5*p**3.\nAnswer: -(p + 1)*(p + 43)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 30 = -2*y + 3*b, 2*b - 19 = 3*y. Let p be (-7)\/y*(-20)\/(-70). Let m = 3 + -3.1. What is the nearest to m in 5, p, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478439 is divided by 2322?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - 0. Let o be 42\/(110\/(-40)*6\/p). Calculate the greatest common factor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 236*o**2 + 14*o + 3. Let w be n(-1). What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r + 79. Let s be (4 - 0)\/(-8) + (-208)\/32. Let a be b(s). Solve -a*d + 32 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*j = -269*j + 4026. Calculate the greatest common factor of 2684 and j.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 9) in base 2?\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -1488a642?\nAnswer: -1488a64a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -42657 divided by 2\nAnswer: -42657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81 - 40 - 17 + (2 - 5 + 4)*(-4 + 6 - 4))*(0*t - 4*t + 3*t) to d*t + u and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22427 - 22427. Suppose -5*n - 30 = -5*y, 2*y + n = -0*y. Solve z = w - y*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63033777 divided by -6?\nAnswer: 21011259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 20 = 90. Let u = r + 157. Let m = u + -92. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34595 and -2609?\nAnswer: -90258355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) 1\/4 (c) 2 (d) -2\/7 (e) -34.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2737501*s**2 - 5*s - 6. Let o be i(-4). Let c be 2\/(-6) - o\/6. What is c rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -509, -1143, -2031, -3173?\nAnswer: -4569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 13*s - 71. Sort 11, 2, -10, s.\nAnswer: -10, 2, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 - (-1 - (14 + 6 + -55)))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 6:11 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/220 + (-2)\/(40\/(-12))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -186, -373, -556, -735, -910, -1081?\n\"Answer: 2*c**2 - 193*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/24 and -83\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-15*1)*15. Let u be (0\/((-5)\/(q\/2)))\/(-3). Let w = 51 + -51. Which is the closest to w? (a) 0.1 (b) u (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-756)\/(-231))\/(((-231)\/(-616))\/(11\/2))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560725 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -3) + 153\/3. Suppose -2*s + p = 7. Suppose -53 - 177 = -2*o. What is the highest common divisor of s and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*r + 29*r**2 - 1136*r - 2003*r.\nAnswer: 29*r**2 - 3757*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27559116 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1636271 + -3?\nAnswer: -1636274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkz when three letters picked without replacement from kctjczkjkpzckjttt.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5907 divided by 3?\nAnswer: -1969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9891 = 6619. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18673068 - -18673219.00099. Let g = 151 - w. What is g rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(sqrt(252) + -2*sqrt(252))*3 + 3)**2.\nAnswer: -648*sqrt(7) + 81652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (102\/(-16))\/(-3). Suppose 0 = 2*y + 3 - 1. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.848 + -111.052. Let t = l + 105. Let y = t - -7. What is the closest to y in -0.4, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2426*r - 747 wrt r.\nAnswer: -2426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 1. Let z = -10 + 14. Let h(c) = 2*c**3 - 3*c + 4. Suppose f + 3*f = -4*t + 12, 2*t + 18 = 4*f. Give t*h(y) + z*s(y).\nAnswer: -2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -230205 + -1?\nAnswer: -230206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjxjjjjjhxfhhxhjhjx. Give prob of picking 2 f.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 2623254.\nAnswer: 0, 2, 2623254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 783.4 + -809. Round d to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**2 + 7239*g + 436083. What is j(1264)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/39 in -5, -0.04, -73, -2\/11?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-10)\/(160\/78).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 - 10*n**2 + 11*n**2 + 315*n in the form a*n**2 + o*n + d and give o.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 3 (b) 22 (c) -6 (d) -4 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15*h**3 - 11*h**2 + 5*h - 16. Let j(s) = 23*s**3 - 18*s**2 + 8*s - 25. What is 5*j(t) - 8*u(t)?\nAnswer: -5*t**3 - 2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -54. Let o(t) = -t**2 - 2*t + 2. Let i be o(3). Let p = a + i. Calculate the greatest common factor of 40 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.289 + -6.361. Let v = u + 0.072. What is the fourth biggest value in -2\/5, 0.4, -0.01, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 10*x**2 + 2*x**2 + (3 - 4 + 2)*(0*x**2 + x**2 + 0*x**2))*(1 + 4 + 0) + x**2 + 3*x**2 - 3*x**2.\nAnswer: 46*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d - 42*d = 13*d + 1380 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 1026?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 - 3*j**2 + j - 6. Let z(q) = 7*q**3 + 7*q**2 - 3*q + 13. Let u(r) = -5*a(r) - 2*z(r). Let c be 1*(1 + -1)\/3. What is the units digit of u(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*d = 2695 + 2871 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by (-17)\/(-6) + 17\/102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 90*p**2 + 9*p. Let v(a) = 90*a**2 + 10*a. Calculate 6*v(g) - 7*w(g).\nAnswer: -90*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27324917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6 - 56 = 0. Let b be (-5)\/u*(-5 + -1). Suppose -2*y + 20 = b*y. Calculate the greatest common factor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53433 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1872 and 1055863224.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.6182*-3.\nAnswer: 94.8546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b + 31. Suppose 5*h + y = -2*y - 15, 0 = -3*y. Let t be w(h). Are 50 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16113 * 0.6.\nAnswer: 9667.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.693 to 1 decimal place.\nAnswer: 30.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1622167\nAnswer: 324433.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 28. Let f be u(14). Let y be ((-2)\/(-3) - (-4)\/(-24))*f. Suppose y = 2*q + q - 4*l - 8, 3*q = l + 11. Solve 3*c - q + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 573, 2220, 4967, 8814, 13761, 19808, 26955?\n\"Answer: 550*h**2 - 3*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 476?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.84 - 0.24. Let d = n - 4.5. Which is the nearest to d? (a) -4 (b) -7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931128 is divided by 3046.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 307633677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236362014*-5.\nAnswer: -1181810070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, r: 1, s: 6, j: 4}. Give prob of sequence ijj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/((12\/3)\/(-2)). Suppose -5*v + b*v = -5*s - 42, 5*v = 4*s + 37. Let r = 11 + s. Solve 0 = 3*a - 0 - r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37381*n**3*t**2 - 6*n**3*t - 1721858*n**3 wrt t.\nAnswer: 74762*n**3*t - 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2. Let y(o) be the first derivative of -2*o**3\/3 + 16. Determine m(y(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 3*y**2 - 4*y + 3. Let c be m(-5). Let u = 7 + c. What is the units digit of (u\/(-4) - 3)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2 + 4*p**2 - 15*p**2 + 4*p**2 + 3*p**2 + p**3. Let m(x) = x**3 - 3*x**2 + x - 1. Let g = -9 - -12. Let k be m(g). What is b(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(-92)\/(-12)*-1. Let s be (-6)\/21 - i\/(-14). Let g(l) = 4*l + 1. What is the tens digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -89 and -12275.50123709?\nAnswer: 12186.50123709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595832 and 24424.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 16) + (31 - 78 - -52)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-4)*24\/9. Let k = x + -7. Let i(g) = -g**2 + 4*g + 5. Give i(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4475 and 20585.\nAnswer: 102925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250017 is divided by 50001.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -97. Let i be 12 - l - (5 + (-2)\/2). Which is smaller: i or 24?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8703 and -0.11.\nAnswer: -8703.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.59851*-230.\nAnswer: 1057.6573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + 637\/56 + ((-26)\/(-16) - 2). Solve 0 = 5*a + 15, p - 2*a - u = -a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1948026, -3896058, -5844094, -7792134, -9740178?\n\"Answer: -2*j**2 - 1948026*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-18)\/((u\/u**(-2\/9))\/u))**(-8\/3))**(1\/3))**(-9\/10) assuming u is positive.\nAnswer: u**(-656\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9\/(l\/(l**(-13)\/l)) assuming l is positive.\nAnswer: l**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/7 and -1\/2398.\nAnswer: 16786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9207610 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3062, -3, -2.\nAnswer: -3062, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3533450 + -3514716.93. Let o = v + -18824. Let a = 91 + o. What is a rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from errr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {w: 7, x: 2, z: 7}?\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*o**4 + (-3*o**3 - 2*o**3 + 3*o**3)*((-8*o - o + 0*o)*(0 - 2 + 0) - 4*o + o + 4*o) in the form p*o**2 + c*o**3 + l*o**4 + d*o + t and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - -5. What is the greatest common divisor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g)\/(g\/(g\/g**8*g))*g\/(g\/g**(-8))*g*g**(-2\/25) assuming g is positive.\nAnswer: g**(-377\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 10*g**2 - 26*g + 22. Let q be x(12). Let m = q + 13. Calculate the smallest common multiple of 39 and m.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95870090*c**4 - 37367518.\nAnswer: -383480360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caa when three letters picked without replacement from swzacacwcwaacaw.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**2 + 37*r**2 - 17*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*l = 3 - 1, -5*u + 3*l + 5 = 0. Let n(s) = 4 + 0*s - 4 - u + s. Determine n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + 2. Suppose 4*q - 32 = o*q. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -49*l**4\/12 + 7*l**3 - 5*l**2\/2 + l\/3 - 1. Let h(b) = 0. Calculate b.\nAnswer: 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**8\/840 - l**6\/180 - l**3 + 1. Let s(k) be the third derivative of r(k). What is the third derivative of s(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50857, -50851, -50835, -50803, -50749?\nAnswer: -50667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3996, -3993, -3990, -3987, -3984, -3981?\nAnswer: -3978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/4 - 2943*x\/2 + 8661249\/4 = 0. Calculate x.\nAnswer: 2943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 199*q + 10487. Let l be u(-52). Solve -15*c = 49 - l for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 213\/2*10\/15. Suppose 21*t = 20*t + a. Suppose 0 = 72*z - t*z - 86. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 4*d + 2. Let j be p(-5). Let i be 24\/j + 38\/(-40). What is the closest to 1\/2 in -4, i, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/50)\/((-11)\/(-10))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.41 - -0.04. Let m = g + -0.13. Let u = -1.1 + 1. What is the closest to u in 1, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -462 + 501. Let f = 286 + -135. What is the remainder when f is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*v = -91*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.119?\nAnswer: 0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 - c**3 - 3381*c - 3378*c + 6759*c - 3*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a, -4*u + 0*a + 145346 = 5*a. Let w = u - 19126. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1120 and 61\/224?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -12*l + 24. Suppose -426 + 331 = -19*d. Give k(d).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1748 is divided by 169.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71.1 - -71. Is d not equal to -0.066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 22 = 3*c, -l + 2 = -3*l - 3*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwjwwwwwwwjww. Give prob of sequence www.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-511)\/(-511))\/(((-1)\/2*-2)\/((-66)\/6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25 + (-94150)\/(-3735) + 1\/(-4) and -139\/2988?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -5 (c) 3\/50 (d) -10 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*q + 377*q - 652*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/20)\/(6\/(-240)). List the prime factors of (-34 + k)\/((-2)\/334 - 0).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*h + 606*h + 437*h + 100135 - 2423 = 0 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 18. Let d be v(15). Let a(k) = -k**2 + 2*k + 3. Let f be a(d). Suppose 5*l - 2*p + 3*p - 43 = f, -2*l + 2*p = -22. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6276 and 7312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - -15 - (2 + (3 - -11 - 7)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/8 - 101622259*z\/4 - 10327083524263081\/8 = 0.\nAnswer: -101622259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 - r. Suppose 4*y + 5*l + 3 = 0, -3*y + 0*y = 5*l + 1. Let p(n) = -9*n**2 - 3*n. Give y*p(t) + 5*b(t).\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13125501*q**2 + 2531553*q + 1 wrt q.\nAnswer: -26251002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 96, 192, 288?\n\"Answer: 96*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 947 - 60?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x**2 + 5*x + 4. Let r(o) = -11*o**2 - 4*o - 3. Let d(b) = 2*r(b) + 3*w(b). Let j(t) = -7*t**2 - 6*t - 5. Determine 6*d(v) + 7*j(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-9) - (-4)\/(-180)*-10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125 - 13?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22635 - -36080. List the prime factors of q.\nAnswer: 5, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - 0.9. What is the closest to 1 in 1, y, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52735 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 - 2*u**2 + 2*u**2)*(105 + 51 + 485) + 3*u**2 - 7*u**2 - u + 0*u in the form x + w*u**2 + y*u and give w.\nAnswer: -1286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4001022 + -4?\nAnswer: -4001031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23808*b**2 - 213 + 213 + 10397*b**2.\nAnswer: 34205*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 291 + 297. Let b(p) be the first derivative of 4\/7*p**n + 4\/21*p**3 - 1\/14*p**4 + 3 - 16\/7*p. Factor b(o).\nAnswer: -2*(o - 2)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*u - 72*u + 1048 = -3788. Calculate the remainder when 2\/9 + 3031\/9 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4504, 9053, 13642, 18271?\nAnswer: 22940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 385, 5, -586, -4, -2 in decreasing order.\nAnswer: 385, 5, -2, -4, -586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 124787.1 rounded to the nearest 1000?\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + o - 583 = 0, -3*q + o = 6*o - 885. Let f = q + -226. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7 + 5*y - 10*y + 3*y + 5*y. Let s(w) = -w - 2. Calculate 2*r(i) + 7*s(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t - 272. Let j(y) = -5*y - 272. Calculate 4*d(v) - 5*j(v).\nAnswer: v + 272","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*x - 179. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 13 - 12 - 2*z)*(4*z - z - 4*z).\nAnswer: 4*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 3. Let y be h(-1). Solve 0 = -a - y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1493 divided by -424.\nAnswer: -1493\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 15*p - 40. Let f be y(-3). Suppose -142 = -4*c - 2*j, 5*c + 16*j - 177 = f*j. Calculate the greatest common factor of 665 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10921526 and 10703?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.93218 minutes in weeks?\nAnswer: 0.003167875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.1 - 15. Let k = 6.7 - 7. Let o = -0.8 - k. What is the second smallest value in o, -2, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:24 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarmooo. Give prob of picking 1 m and 2 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 minus 374?\nAnswer: -373.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3970488 and 1985244.\nAnswer: 3970488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - d**4 - 24*d**3 - 2*d**2 + 24*d**3 + 5 to l*d**3 + o*d**4 + f + h*d + t*d**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -259 - -245. Let o be (38\/q + 2)*2\/5. What is the nearest to -1\/4 in o, 1, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 - 82832*u**2\/5 + 24122996*u\/5 - 351884528.\nAnswer: (u - 82540)*(u - 146)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 15637 = 81*x + 1546. Calculate the least common multiple of x and 549.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (689\/(-2))\/((-52)\/(-8))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.6. Let s = 533\/40 + -97\/8. Let l = 3 - 4. Which is the second smallest value? (a) q (b) l (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 187178486*x. Let b(h) = -3*h**2. Calculate b(y(q)).\nAnswer: -105107356863756588*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -6. Suppose -12*r = -t*r - 9. Solve 4*i = i + r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 516613540 and 4.\nAnswer: 516613544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 433266837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 5)*(-2 + 2). Is 13 a factor of 16 - (5 - 2 - k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z - 28. Calculate t(-6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1. Let v(k) = -3*k - 3. Let g(m) = 4*j(m) + v(m). Let a be (465*(-19)\/(-1368))\/((-5)\/(-4)) - (-4)\/(-24). What is g(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18715 = 3498*f + 86098 + 84079 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*b = 218865 - 1177744 - 662941. What are the prime factors of b?\nAnswer: 2, 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + (sqrt(99) - sqrt(99)*-5) + -4 + sqrt(99) + 0 + -2 + 5*(sqrt(99) + 1))*5)**2.\nAnswer: -194400*sqrt(11) + 12838500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(18\/8))\/((-8)\/(-12)). Solve 5 = h + 5*d, 3*d + 2*d = r*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = 5*a, -17*a + 9 = j - 18*a. What are the prime factors of (6629\/49 + -1)*j?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3)*((92 - -3) + -2). Let f = -56 - c. Suppose -f = -31*d + 29*d. Solve -d = -a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682769047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-2 + 3)) + (-25 - -12 - -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, -0.02, 10\/7, -3 in decreasing order.\nAnswer: 10\/7, -0.02, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 2, r: 1, a: 4, x: 1, q: 3}. What is prob of picking 1 x, 1 j, and 1 q?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 1. Let b(y) = 2*y + 12. Let k = -874 + 869. Determine k*j(t) - b(t).\nAnswer: 3*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/(((-1)\/(-6))\/((-35)\/(-42)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 8\/(32\/36). Suppose 2*d + 6 = -a*b, b - 3*d - 9 = -b. Suppose 0 = -4*v - 3*c + 27, -v - 3*c = -b*c - 18. Solve -v*o = 3 + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:47 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155518933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 481 and 23059621.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {a: 9, i: 1, p: 5, e: 3}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*f + 13 = 0, k - 745*f = -748*f + 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, k: 3}. Give prob of picking 2 k and 1 q.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 34, 2, -6, -5, 3 in ascending order.\nAnswer: -6, -5, -2, 2, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*s - 7952 = 58. Calculate the greatest common factor of s and 36045.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 42\/5 of a millennium?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 331991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -69391.\nAnswer: 69393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 9*z**4 - 60*z**3 - 231*z**2 + 306*z + 648 = 0.\nAnswer: -3, -4\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -544, -551, -558?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from {b: 3, g: 6, m: 4, e: 2, s: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*a + 2 + 2 + 2*a - 2 + (3*a + 0*a - a)*(-1 + 1 + 2) + a + 0*a + 2*a + 6*a - 4*a + 0*a as d*a + n and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 504310 (base 6) in base 13?\nAnswer: 151b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 7. Let x be r(9). Let a(p) = 0*p**3 - p**2 + 2*p**2 - p**3 + 4*p**x - 3*p - 4. What are the prime factors of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162256 + 106*z**2 - 101*z**2 + 326942 + 307206 + 4320*z + 136716 = 0 for z.\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 25*c**2 - 2*c + 52. Suppose 2*w - 106 = -4*b, 8*b - 3*b + 2*w = 131. Let g be f(b). Solve 0 - 5 = 3*u - 5*j, g*u = 3*j - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**6\/120 + w**5\/60 + w**4\/24 + w**3\/6 + 7*w**2\/2 - 8*w. Let c(m) be the first derivative of v(m). Calculate c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1128 + 1128 - 63*w**2 + 21*w**2 as o*w + l + s*w**2 and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 105 = 5*z, -t = -2*t + 3*z - 1. Sort 5, 3, t in descending order.\nAnswer: 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 3*r + 29. Let x = 38 - r. Find the third derivative of x*i**3 - 4*i**2 - 6 + 8 + 6 wrt i.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320950 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535654 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3246606 and -0.02389.\nAnswer: -3246606.02389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 46*v**2 - 20. Let p(d) = -2*d. Calculate l(p(o)).\nAnswer: 184*o**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (69\/46)\/(6\/212). Let c = 82 - s. Calculate the remainder when 112 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-312*v - 33 - 310*v + 621*v).\nAnswer: v + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 342\/5 - 68. Let l be (-1)\/(2\/(-2))*-22. Let t be (2\/l)\/((-9)\/18). Put n, t, -3\/7 in descending order.\nAnswer: n, t, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16057 - 44244?\nAnswer: -62323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*n**3 + 0*n**4 - n**4 - 19 + 21 in the form z*n**2 + l*n**4 + t*n**3 + q*n + j and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 102 - 28 - 35 - 33782*x.\nAnswer: -33782*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 17*y**2 + 2*y. Let q(n) = -1148*n + 3314*n - 1099*n - 630*n**2 - 1142*n. Give -75*o(d) - 2*q(d).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in -3, -2.1, 962, -4?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g - 40. Let f be a(-8). Suppose j + f = -9. Does 6 divide (0 - 57\/j - -2)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825928491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 739950 and 69600?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) -1.75 (c) -0.13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqk when three letters picked without replacement from {k: 4, g: 2, q: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -770012 by 163.\nAnswer: -4724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -798 + 27554. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*n**3 - 19*n**3 + 3*n**4 - 17*n**3 + 22 - 2*n**2 to the form k*n**4 + b*n + t*n**2 + w*n**3 + i and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 28337196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - -3*-1*sqrt(304) - (-2*sqrt(304) + -5))*-5 + 1)**2 + -1.\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10146 and 84?\nAnswer: 142044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -7*y + 217. Suppose 32 = y*s - 35*s. Which is the third biggest value? (a) -0.2 (b) -3\/7 (c) -2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.6, 5, 0.4 in decreasing order.\nAnswer: 5, 0.6, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 0, 0.1028?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*s - 6*s + 10, -2*s = m - 2. Suppose -l + c + m*c + 37 = 0, -4*c - 185 = -5*l. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121780382 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -2*z - 3*z. Let f be (388\/(-6))\/(z\/(-51)). Let i = f - -164. What are the prime factors of i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + 0*x**5 + 0*x**5 + (-3*x**2 + 3*x**2 + x**2)*(3*x**2 + 3*x**3 + 1 - 3*x**2).\nAnswer: 4*x**5 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164 - 168. Which is the biggest value? (a) y (b) -1\/6 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8 = f, 3*f - 10 = 8*f + 4*q. Let z be (2 - 0) + -2 - 2. Let v be z\/(-7) - 16\/(-42). Is f <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30 + 5*a**3 + 365*a**2 - 1234*a**4 - 336*a**2 + 5*a**3 - 10*a**3 wrt a?\nAnswer: -29616*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8415490*c**2 + 524*c - 4067?\nAnswer: -16830980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -11*b**2 - 7*b + 17. Suppose 2*v + 72 = 2*i + 84, -6 = -i - 5*v. Let l(r) = -6*r**2 - 4*r + 9. Give i*c(y) + 7*l(y).\nAnswer: 2*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3771032*c**3 + 976988*c**2 wrt c?\nAnswer: -22626192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-17) + 9\/(-24)*-1874. Does 701 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 3*c**2 - 4*c + 3*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99714, 99733, 99762, 99801?\n\"Answer: 5*l**2 + 4*l + 99705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 35. What is the nearest to -1 in 0.4, 5, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0 + 13\/540*l**6 + 0*l - 1\/5*l**5 + 33*l**2 + 5\/9*l**4 - 8\/27*l**3. What is y in v(y) = 0?\nAnswer: 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990171289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-23)*g)\/(g\/(g**(-8)\/g)) assuming g is positive.\nAnswer: g**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -17506065962113.\nAnswer: -17506065962112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 + b**2 - 5*b**2)*(-277*b - 6408 + 6408) as y*b + d*b**2 + g*b**3 + v and give g.\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 16*a + 17*a = 4, -2*r = -2*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 13. Let l(u) = 5*u - 2. Let j(r) = -6*r - 13 + 16*r + 10. Let g(d) = 6*j(d) - 13*l(d). What is g(q)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c + 7652 = 0. List the prime factors of c.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l = 2*f - 218, -2*f - l = -242. Let r(j) = -j**2 - 30*j - 195. What is the remainder when f is divided by r(-15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.33 + -4.53. Sort 5, h, -13, -2 in decreasing order.\nAnswer: 5, h, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 617*m**2 - 4318*m - 8. Calculate v(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*d = -477 + 1989. Calculate the least common multiple of d and 163.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 3*g**4\/16 + 5*g**3 + 69*g**2\/2 + 84*g - 623. Factor j(n).\nAnswer: 3*(n + 2)*(n + 4)*(n + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 32 = 4*p, -p - 5 + 15 = -y. Let z be (-5)\/(10\/(-6)) + y. Let o(v) = -4 - v - 2*v + 2*v. Calculate o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11553 + 69*m + 2354 + 71*m + 67*m - 208*m as j*m + s and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {c: 1, j: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4339.41um?\nAnswer: 0.433941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 979.6648l in millilitres?\nAnswer: 979664.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21515 - 21328. Solve 121*z = o*z - 132 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t + 12 - 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26516442 (base 7) to base 3.\nAnswer: 11121001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865341 is divided by 865308.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 20, 4*u + 3*b = 44. Let f = -18 + 29. Suppose 0 = 2*l - f - 37. Calculate the highest common divisor of l and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1257*y - 74932. Calculate q(63).\nAnswer: 4259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7884780 at least as big as 7884752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l. Let o(f) = 6048*f**2. What is o(g(c))?\nAnswer: 217728*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 e when four letters picked without replacement from {e: 8, s: 5, d: 2}.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21101113 (base 4) in base 9?\nAnswer: -57074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1172720929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -57*h. Let r(a) be the first derivative of 0*a + 3\/2*a**2 + 3. What is r(w(t))?\nAnswer: -171*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000027470347 to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 884 = -9*o - 133. Let z = -6 - -12. Is (o\/2)\/((-3)\/z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Solve 0 = -2*h - m - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - -1)*(-255)\/(-51). What is the highest common factor of 2 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1367 by 6.\nAnswer: 1367\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 19, p: 1}. Give prob of picking 2 b and 1 p.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-30) + (-144)\/45?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6535, 6532, 6525, 6514, 6499?\n\"Answer: -2*t**2 + 3*t + 6534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -86. Let t(r) = 21*r**2 + 29*r + 31. Let u(y) = -11*y**2 - 15*y - 16. Let w(o) = 6*t(o) + 11*u(o). Is 45 a factor of w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*t**2 - 61*t**2 - 26403*t**3 + 7471*t**3.\nAnswer: -18932*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -1\/12*r**4 + 0*r**3 + 0*r + 1\/60*r**5 + 3*r**2 + 0. Factor w(k).\nAnswer: k*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53709079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vivivivvvvv. What is prob of picking 1 v and 1 i?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 536*p + 106 wrt p?\nAnswer: 536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.7. Let b = 4 - 3.6. Let f = b + q. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 6 (c) 196 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4 - 1 - 2*q**3 + q**3 - 4*q + 6*q**2. Let i be ((-1)\/((-3)\/30))\/((-12)\/(-6)). Let n be t(i). Solve 3*d - d = -n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {i: 3, r: 1, f: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3690*d**3 - 8*d**2 + 4*d. Let u(k) = -11069*k**3 + 26*k**2 - 13*k. Give 39*o(x) + 12*u(x).\nAnswer: 11082*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10688883 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1003037, -4012168, -9027391, -16048706, -25076113?\nAnswer: -36109612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 930*a + 13650 = -926*a, v - 3*a - 6825 = 0. Round v to the nearest 100.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + s - 2)*(0*s**3 + 4*s**3 - 3*s**3) - 3*s**4 + 4*s - 4*s + 3*s + 0*s - s**4 - 2*s.\nAnswer: -3*s**4 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Suppose -o = t*o - 10. Let q(s) = -4*s + s + o*s. Let v(g) = 2*g**2. What is v(q(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1258382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k**3 + 6*k**2 + k + 2. Let x(p) = p**3 - p - 1. What is d(u) + x(u)?\nAnswer: -8*u**3 + 6*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 332131 (base 4) to base 15\nAnswer: 12b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2 - 393*v - 1556 = 0.\nAnswer: -389, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 8*q**2 + 11*q - 18. Let i be m(6). What is i rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-5)\/15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/2*2\/(-1). Solve 4*c = -4*x + 2*x - 26, p*c + x + 25 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 3*u**5 - u**5 + (4*u - 4*u + 2*u**5 + (-u**2 + u**2 + u**5)*(62 - 7 + 27))*(1 - 2 - 2).\nAnswer: -251*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z**2 + z + 5. Let w be v(0). Let j = 10 - w. Let p(f) = f**3 + 2*f**2 - f + 6. Let q be p(j). Calculate the highest common factor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (512\/80)\/((-72)\/(-450)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -10. Let j be (-13)\/((-13)\/6) - v. Let y(k) = -k. Let o(c) = 2*c + 1. Let x(p) = 4*o(p) + 9*y(p). Give x(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/36 and 121\/249594.\nAnswer: 1497564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2. Let d(j) = -3701*j. Give k(d(m)).\nAnswer: 27394802*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4, 1\/7, 0, -0.5, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:11 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l = -2. Let r = 5 - l. Suppose -r*o = -21 + 1. Let g(k) = -2*k + 7. Calculate g(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4031 and 278.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*j**3*k**2 + 101*j**3*k*p - 3*j**3*k + 2*j**3*p + j**2*k**2*p - 3*k**2*p + k*p + 2*k wrt k.\nAnswer: 414*j**3 + 2*j**2*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -91? (a) 2\/15 (b) 5 (c) 1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 e when four letters picked without replacement from {e: 4, c: 7, l: 7}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3625)\/1131 - ((-222)\/26 - -9))*6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84.9 + -84.645. Round m to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5)*g**(-6\/7))\/(g\/g**2)**(-26\/5) assuming g is positive.\nAnswer: g**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2546 and 968.\nAnswer: -1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479361.3 tonnes to grams.\nAnswer: 479361300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 s when three letters picked without replacement from {q: 1, d: 4, s: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**3\/3 + 3*y**2\/2 + y + 616. Calculate g(-6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/5 of a week?\nAnswer: 58464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 753560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-235)*291024\/288.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153 - 150. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(192) - 3*sqrt(192)) + -4) + (5*(sqrt(192) + -1) + sqrt(192))*-3 + 1)**2 + 0.\nAnswer: -5376*sqrt(3) + 28432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.043 - -138.927. Round i to 0 decimal places.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - 1*sqrt(1900))**2 - sqrt(1900)) + 3 + 6*(5*(2 + sqrt(19)) - sqrt(19))**2.\nAnswer: 470*sqrt(19) + 2427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4394039 is divided by 14794.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*l + 8 = 3*f, 2*f = 5*l - 6. Suppose 0 = -t - f*c + 13, 8 = -5*t + 3*c + 21. Calculate the remainder when 17 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*r + 1 - 20*r - 28*r - 21*r - 1.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 100, 720, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(20\/(-4))\/(63\/18*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than -132\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/256 or 0?\nAnswer: -33\/256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 138160 times 0.05\nAnswer: 6908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*z - 470 = 0, -4*z = 2*l - 100 - 88. Suppose l = -3*c + 205. Calculate the remainder when c is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 16 = 5*z. Suppose -6 = -z*v - 26. Sort -1, 5, v.\nAnswer: v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1271*d**2 - 56*d - 3. Is s(6) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 864218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -98256 (b) 2\/3 (c) -1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtj when three letters picked without replacement from {u: 1, e: 1, t: 1, k: 1, g: 1, j: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -409*p**3 + 38*p.\nAnswer: -2454*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -16) + -659 + 675\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -1 in descending order.\nAnswer: 12, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/(-111))\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i. Solve 2*v - v + 3 = i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 + 228 = -15*m. Suppose 0 = 5*r - r. Suppose n - 3*f + 4 = -r*n, 4*n = -3*f + 29. Put -3, m, n in descending order.\nAnswer: n, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**3 - x**2 - x + 6. Let r(j) = 6*j**3 - j**2 - j + 5. What is -3*f(d) + 4*r(d)?\nAnswer: 3*d**3 - d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 + 15*j + 133. What is d(-6)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 44 = -4*t, 2*t - 24 = -3436*v + 3433*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = x - 4*j + 3, 0 = -x - 3*j + 39. Suppose 16*a + 13*a = -0*a. Solve a = 39*t - x*t + 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-252)\/(-168))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 11) in base 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195286*s**3 - 173738*s**2.\nAnswer: 1171716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - n + 69 = -7*n + 5*w, -40*n = w + 151 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.7 - -10. Which is the smallest value? (a) 1 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.317 + -183.317. Let h = w + 147.6. What is h rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2))**(-1\/13))**(8\/11))**23 assuming v is positive.\nAnswer: v**(368\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 5000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 - 87*g. Let c(o) = -15 - 11 + 1172*o**2 + 26 - 1171*o**2. Determine c(f(v)).\nAnswer: 9*v**4 + 522*v**3 + 7569*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1450*r - 1450*r + 8759*r - 1455*r - 1471*r - 1501*r - 1448*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**4\/12 - v**3\/6 + 18*v**2. Let o(j) = j. Let h(a) = 5*o(a) - 3*z(a). Determine h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*d + 136, -2*s + 0*s = -3*d - 146. Let n = s + -41. What is the remainder when n is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 9*h**2 + 8*h - 6. Let i be r(8). Let x = i - -8. Suppose -k + 5*k - 5*b - 41 = 0, 2*b + x = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33694703 is divided by 171.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 + 416987*o**2 - 43468497056*o - 217352910080 = 0 for o.\nAnswer: -5, 208496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 2*q**2 + 7*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 396497635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 12*g**2 + 31*g - 12. Let m be k(9). Let t be 4 + 1 + (-114)\/m. Which is the fourth biggest value? (a) 0 (b) 0.03 (c) t (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219345 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 23 + 0 + -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -9, -18, 4, -21, 2.\nAnswer: -21, -18, -9, -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + t = 2*t + 1, 5 = 3*d - 5*t. Solve 2*r - 7*r + 5 = d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 divided by 171095?\nAnswer: 141\/171095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g - 26*g + 0*g + 50*g - 27 - 8*g - 11.\nAnswer: 8*g - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 0*k**3 - 11*k**3 + 3*k + 3 + k**2 - 4*k. Suppose 0 = 4*a + 5*r - 17, -40 = 5*a - 5*r - 5. What are the prime factors of c(a)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49595\/6 + -8245. Let a be 1\/3603*6\/11. Let m = a + 1096473\/264220. Calculate the common denominator of m and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**3 + 25\/12*c**4 + 0*c**6 + 0 + 0*c**2 + 0*c**5 + 31\/42*c**7 - 15*c. What is the third derivative of p(h) wrt h?\nAnswer: 1860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcpc when four letters picked without replacement from {c: 1, p: 18}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a century in years?\nAnswer: 190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.2 (b) -1.137 (c) -0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177066 by 19674.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 <= -98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -5457451?\nAnswer: 5457450.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**2 - 3*m**2 - 3*m**2)*(0*m + 3*m - 2*m) - 5*m**3 - 4*m**3 + 3*m**3 + 2*m**3 - 4 + 4 in the form o*m + j*m**3 + r*m**2 + k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45411 + 45412. Suppose 4*v = 2*c + 80, -c + 17 = 3*v - 53. Suppose w - 11 = -2*k, -w + 5*k = 2*w - v. Solve 5*f - w = y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1881179\/138 - 13632. Find the common denominator of 17\/12 and f.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - 405. Let c = r + 458. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765874139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5424 and -0.3.\nAnswer: -1627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3 + 42*l**2 - 22*l**2 + l**3 - 26*l**2. Let u be g(6). Solve u*o + 3 = -2*v, o - 4*v = -8 - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-4*p**2 + 3*p**2 + 0*p**2) + (3*p - 173*p + 64*p)*(0*p + 0*p - 2*p).\nAnswer: 213*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2. Let h(a) = a + 8. Let p(y) = 59*y + 24. Let k(l) = -6*h(l) + 2*p(l). Calculate q(k(f)).\nAnswer: 25088*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 12:06 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253415\/7492981 + -100\/3821. Calculate the common denominator of r and 67\/370.\nAnswer: 19610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(833))**2.\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 13) to base 3\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.7 + -4.3. Let f = -20.97 - z. Which is the third smallest value? (a) f (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - -13. Calculate the remainder when 2995\/20 - (10\/2 - 84\/16) is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66 in 7\/425, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**3 + 10*z**2 + 13*z - 2. Let p be (-1)\/(0 - (-2)\/6). Let t(v) = -4*v**3 + 9*v**2 + 12*v - 3. Let y(u) = p*k(u) + 4*t(u). What is y(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -56 - 4. Let r be 384\/g + 6\/(-10). Suppose -5*s - k + r = 8, -18 = -3*s + 2*k. Solve -2*c - 4*i + 8 = 0, 0*c + i - 2 = s*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = -11*b + 5*t + 15, -2*b + 14*t = -46 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102012 + -220?\nAnswer: 101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 1 = -4*i, -2*m - 3*m = i + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/113353 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -245*u + 2776. Let v be i(11). What is the highest common divisor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 + 13*d**2 - 13*d**2 + (-d - 3*d + 3*d)*(0*d**2 + d**2 - 4*d**2).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 - 16361787*q**2 + 16361787*q**2.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.717 take away 797?\nAnswer: -796.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*p - 10. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {o: 4, z: 1, r: 2, n: 10}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321 = 25*f + 191 + 138 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2979158.91 to the nearest ten thousand.\nAnswer: 2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/3*((-6)\/(-6) - -2). Calculate the highest common divisor of 63 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glpl when four letters picked without replacement from ptglftttl.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(1 + (6*(sqrt(405) + 1 + sqrt(405))**2 - (sqrt(405) - (sqrt(405) + (sqrt(405) - 1*sqrt(405)) + 1)))).\nAnswer: 3240*sqrt(5) + 145920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Let o(n) = -102. Let i(s) = 1. Let j(x) = 85*i(x) + o(x). Let g(w) = -w - 30. Let y(z) = 4*g(z) - 7*j(z). Determine y(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3019 = 8*t - 9283. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/16)\/((-18)\/(-144)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 105182*t + 736385. Calculate j(-7).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 11:07 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u + 212 = 11*u. Is (39706 - 0)\/((-1)\/2*u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 1\/2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/6)*k)\/(k**(-2\/3)*k))\/(k**(3\/5)*k*(k\/k**(-1\/14)*k*k)\/k*k)*((k*k**(1\/4)\/k)\/((k*k**(-2\/23)\/k)\/k))**(-4\/5) assuming k is positive.\nAnswer: k**(-4219\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201692 a multiple of 956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -626691, -626649, -626607, -626565?\n\"Answer: 42*y - 626733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 313805 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.3 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.213893037 to five dps.\nAnswer: -0.21389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2671485\/13 or 205500?\nAnswer: 205500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1813998*s - 1813778*s = 7700 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 462253076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 27 + 36 - 98 - 109 - j as k*j + z and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(20\/3))**9)**5 assuming b is positive.\nAnswer: b**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 704, 1908, 3814, 6554?\nAnswer: 10260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 382 + -254. Let k = h - 131. Let j = 0.3 + 0.2. Which is the second biggest value? (a) k (b) j (c) 7 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i - 97. Let l(z) = 11*z + 96. Let x(r) = -2*h(r) - 3*l(r). Let s be x(-9). Solve 5*c - 25 = 4*m, -4*c + 30 = -s*m + c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -144, -3, -13, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - (10 + 8)) + 5. Let a(r) = -r**3 - 5*r**2 - 5*r - 5. What is a(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqtqqqqqqqqqqqqtqq. Give prob of sequence qtt.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45934 and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -5)\/(-7) - (-624)\/(-32256)*16?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.8 (b) -64 (c) 12\/13 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z**5 + 135*z**4 + 320*z**3 - 1800*z**2 - 4320*z + 10800 = 0. What is z?\nAnswer: -6, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 195015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 f, and 1 c when four letters picked without replacement from {c: 2, x: 1, h: 1, t: 8, q: 3, f: 1}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - 114 - (-12 - 1 - 2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*i + 18*i**3 + 384*i + 3*i**2 - 129*i - 4 - 127*i to d*i + u*i**2 + j + g*i**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121200, -242121, -362474, -481977, -600348?\nAnswer: -717305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 29*l**2 + 39*l. Let p(w) = w**2. What is h(p(c))?\nAnswer: 29*c**4 + 39*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 882 and 504?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7335124mm to kilometers.\nAnswer: 0.0000007335124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 4)*(-j + 0*j + 0*j) + 0 + j + 0 - j - 2*j + 2*j + (j - 3*j + 0*j)*(3 - 2 - 6) in the form x + h*j and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, v: 1, a: 8}. Give prob of picking 3 o and 1 v.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 + 106*t - 246. What is g(-16)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -7620, 1, 5, -6 in descending order.\nAnswer: 15, 5, 3, 1, -6, -7620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 13.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j**3 - 695 + 8 + 26*j**3.\nAnswer: 2*j**3 - 687","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 5*r**3\/6 + r**2\/2 + 97*r + 183. Let p(y) be the first derivative of c(y). Suppose 2 = -2*g + 6. Determine p(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*i**3 - 695*i**2 - 3*i - 27833 wrt i.\nAnswer: -9*i**2 - 1390*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/76476277 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 91382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -174*f**2. Let a(x) = 2172*x + 2154*x - 4316*x. What is a(h(p))?\nAnswer: -1740*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 4, q: 2}. Give prob of picking 2 q and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = x, 5*c + 15*x - 10*x + 9 = 24 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 6. Let a(q) = -5*q - 2. Let j be a(-4). Suppose 8*g + 4*b + 33 = 3*g, -2*g - 4*b = j. Determine d(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffughgfgh. What is prob of sequence gfg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-18))\/1*(680\/105)\/17?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-12)*1\/(15\/(-9)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42204 and 298.\nAnswer: 6288396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 13)*(-2*h**2 + 2*h**2 - 4*h**2) + (3*h + h - 5*h)*(-9*h - 60 + 60).\nAnswer: 65*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 507555531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 7 = -41. What is the tens digit of (-29)\/(-87) + (-4)\/h - -459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 3. Suppose 5*s - 4 = -24. Let y = -11 - s. Let d(a) = -42*a + 1 + 45*a - 3 + 12. What is y*t(k) - 2*d(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91425966 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Work out 71553 * 3238.\nAnswer: 231688614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3797, 15289, 34509, 61493, 96277, 138897, 189389?\n\"Answer: 6*n**3 + 3828*n**2 - 34*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) -0.15 (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1421*c - 2366 + 76258 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - q + 2*z = 19, -24 = 3*q + 3*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-12) + (-8)\/(-6). What is the third derivative of 19*d**2 - 3*d**k - 8*d**2 + 5*d**6 wrt d?\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -1)**2 + sqrt(2) + 0 - sqrt(36)\/sqrt(2)) + sqrt(32) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 30. Calculate the remainder when n is divided by (0 - 0 - 13)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152931808 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5\/2 - 106167*d**4 - 15*d**3\/2 + 530835*d**2 + 6*d - 424668 = 0. What is d?\nAnswer: -2, -1, 1, 2, 70778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 720 = -2*y, -s + 326 = y - 35. Let t = y + -355. What is the remainder when 126 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/19 - 1803098*u**3\/19 + 23439876*u**2\/19 + 54092160*u\/19 = 0?\nAnswer: -2, 0, 15, 901536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 26253999?\nAnswer: 29\/26253999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*m - 4 = -4*k + 84*m, -4*m = -k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 14 + -8 + 0 + (13 - -6) + -22?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 460 and 4715?\nAnswer: 18860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 15, s + 10 + 14 - 18 = r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4397280 + 0.27?\nAnswer: 4397280.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -54 + (2 - -1)\/(-1). Let q = -227 - -235. Let m be g\/198 + q\/24. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 31*j + 7. Let z be r(-4). Let b = -55 - z. Suppose -2*o + b = 2*s, 5*o - 2 = 5*s + 203. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -371.09 + 371.33. Let d = 2.5 - 3. Which is the second smallest value? (a) r (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + (-34)\/(-6). Let x(y) = y**3 + 7*y**2 - 5*y + 18. Let k be x(-8). Let c be (-4)\/k + z\/(-9). Put c, -5, -3 in decreasing order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:45 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12104141214 + -4?\nAnswer: 12104141210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**5\/5 + 2*q**4\/3 + 2*q**3\/3 - 4*q**2 - 24*q. Solve t(v) = 0 for v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 140 = -39*f. Let v(x) = -3*x**2 - 13*x - 26. Let o(j) = -2*j**2 - 9*j - 17. Let u(w) = -8*o(w) + 5*v(w). Give u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1117.\nAnswer: 3351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 0.6. Let f = 0 + x. Is 3 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 30*t**2 - 2*t + 2. Let h(g) = 2*g**2 + g - 1. Give 6*f(b) + 12*h(b).\nAnswer: 204*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -71, -50, -9, 58, 157, 294, 475?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 704 - 247 - 226 + 78*d**2 - 223.\nAnswer: 78*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1392 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -708, -140, 1402, 4404, 9352, 16732, 27030?\nAnswer: 40732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3) + (-4 - (-204)\/18). Solve 3*b = 5*b - p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 158*v**2 + 283*v - 5908. Determine b(-160).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -27699 in descending order.\nAnswer: 2, -4, -27699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13505 + -13501.3. Which is the biggest value? (a) 1\/3 (b) -0.3 (c) -2\/15 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.5 (c) -1\/5 (d) 27577 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u + 5*u + 2*u.\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - -6 - -129 - 2*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 908328?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 22. Let s(t) be the third derivative of 0 - t**2 - 1\/15*t**3 - 1\/150*t**5 + 1\/30*t**o + 0*t. Solve s(b) = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -38 and -43.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -97, -230, -363, -496, -629?\n\"Answer: -133*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/32079 and -16\/282051.\nAnswer: 81512739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 d, and 1 g when three letters picked without replacement from ddmdddgmmg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 83 + 10 + -86 + -128 + 0?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 15*n + 5. Let i(h) = -h - 27. Let w be i(-28). Let s be x(w). Solve -16*k - 16 = -s*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6*d = -5*o + 62, 4*d = -5*o + 34. Suppose -o*w = -8*w + 28. What is the tens digit of (-15)\/2*w + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 3. Let v(o) = -3*o - 4. Let d(u) = 3*u + 21. Let m be d(-8). Suppose 5*p - 16 = 19. Let y = p - 9. Determine m*k(h) + y*v(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/76005 and 87\/4504.\nAnswer: 608040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 446 + -444. Solve -2*j + 4 = -n*s, 2*j - 4*s - 6 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 287*o**2 + 56*o + 56. Let w(q) = -26*q**2 - 5*q - 5. Let a(y) = 5*h(y) + 56*w(y). Let s(f) = -2*f**2. Determine s(a(r)).\nAnswer: -882*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27620 (base 9) to base 15.\nAnswer: -5839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 123 = 5*p, -91*s + 141 = -87*s + 11*p. Calculate the remainder when 152 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23078, -46241, -69404, -92567, -115730, -138893?\n\"Answer: -23163*w + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(4 - (1 - 0)). Let c(j) = 23*j - 2. Let u be c(o). Solve -5*k - u + 1 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - -0.136435466103\nAnswer: 0.096435466103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 + 19 + 0 + -5. Let p be 7*4\/56*(0 + y). Let r(a) = a**2 - 9*a + 1. Let s(g) = -g + 1. Let k(q) = -r(q) + 5*s(q). Determine k(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7142 is divided by 357.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1717714*p**2. Let w(i) = 20*i - 2. Calculate w(h(g)).\nAnswer: -34354280*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from saxskxiiskuu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -28*y + 15. Does 33 divide z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 8*m**2 - 9*m - 9. Calculate the remainder when w(-8) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 527, 748, 969?\nAnswer: 1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7044 to two decimal places.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/11 + 1028*y**2\/11 + 7330*y\/11 - 18756\/11 = 0.\nAnswer: -9, 2, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 30011?\nAnswer: -30001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233021033332 + 1?\nAnswer: 233021033333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4986780 divided by -6?\nAnswer: 831130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 b, and 1 u when three letters picked without replacement from ulbuuwuqwl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 4*n**2 - 3*n - 4. Let b be w(3). Let l(o) = o**3. Let t(u) = 3*u**3 - 8*u**2 - 4*u - 1. Let k(g) = b*l(g) + t(g). Is k(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d. Suppose d = -6*g + g + 140. Calculate the highest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 56, 31, -25.\nAnswer: -25, 0, 3, 31, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3793 = -40*d + 3153 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9313 is divided by 139.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 2*k + 2. Let o = 12 - 8. Let s(l) = -4*l - l - 7 - 10*l**2 - 2*l. Determine o*s(g) + 14*x(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**5 - 12*k**4 - 9*k**3.\nAnswer: -3*k**3*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsb when three letters picked without replacement from jsbbjblbvjjjjjjjsjs.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1264 (c) -251 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 326295938*m**3 - 338314844*m.\nAnswer: 1957775628*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 277871.0535.\nAnswer: 277866.0535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.1 + 11. Let a = -0.1 + 1.1. Let r = -0.6 + a. Put 0, r, t in ascending order.\nAnswer: t, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {h: 2, s: 5, q: 13}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t = -237 + 688 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 205.1 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 515, 3, 1, 13, 4 in decreasing order.\nAnswer: 515, 13, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 0*p + 2*p)*(-2*p + 267*p**2 + p - 303*p**2).\nAnswer: 72*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 361.3, -5, 134, -21 in decreasing order.\nAnswer: 361.3, 134, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Let u(h) = -h**2 - 2*h - 2. Let p(w) = -f(w) + u(w). Let o be (-2 + 5 + -1)*-1. What is p(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 5892838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -114, -54, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82938403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 158381 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - r = -1, -117*r + 123*r - 17 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**5\/80 - 401*y**4\/4 + 321602*y**3 - 515849608*y**2 - 3616*y. Factor x(q).\nAnswer: (q - 1604)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -546.1.\nAnswer: -8191.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f = -50*f + 129. Let q = 12 - f. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22259196 divided by -7419732.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 5*z - 7. Give o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -43. Suppose 7 = -3*l - 5, 3*f - 2*l = r. Solve f*y - 8 = 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -231 in decreasing order.\nAnswer: 3, -4, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**4\/8 + 2*p**2. Let i(n) = 3*n**2 - 5*n - 5. Let l(k) = 3*k**2 - 6*k - 6. Let q(j) = -6*i(j) + 5*l(j). Give f(q(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143311 - 89318. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -5413455?\nAnswer: 5413453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 10. Let p = -3 + w. Find the second derivative of -4*q + p*q**4 + 0*q**4 + 5*q wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -476 - -884. Suppose 163 = -5*r + d. What is the remainder when r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*((sqrt(2736) + 1)**2 - ((sqrt(19) - (sqrt(19) + sqrt(475) + sqrt(19))**2) + -4)) + -5.\nAnswer: 138*sqrt(19) + 22027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + 47. Suppose 0*l - l + 81 = 0. Suppose -z = -4*x - 0*g - 4*g, 5*x - g = l. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 35\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*a - 2*a**2 - 15*a - 11*a to d*a**2 + j + y*a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1849*g**2 - 12 - 2 + 625*g**2.\nAnswer: 2474*g**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 29377000 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y. Let q be z(1). Is -434*(2 + q\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x**3 + 14*x**2 - 11*x + 5. Calculate u(3).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 0*w + 9. Suppose 1088 = w*t + t. Let m = t - 179. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5955?\nAnswer: 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 36. Let w be m(-21). Solve -g = 4*s - 3, 3*s - g = -2*s + w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 114 - 66 = -18*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 19}. What is prob of sequence ffbf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 8*f = 12. Suppose -3*w - 1328 = -4*r, 0 = -f*w - w + 16. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -58 + 28. Factor -5780 - 17*p**g + 6*p**2 + 6*p**2 - 340*p.\nAnswer: -5*(p + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 5 = 6*m. Let j be (-3)\/(((-8)\/(-20))\/(18\/m)). Let h(s) = 13*s - 3. List the prime factors of h(j).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/16*-8593)\/(4\/48). Is (-9)\/(-12) - 2\/(24\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4635 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77979 + -1?\nAnswer: 77978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -470*q**2 + 14*q - 6 - 24 + 471*q**2. Let v be l(-16). Solve 6\/5 - 4\/5*s - 2\/5*s**v = 0 for s.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -1.0582?\nAnswer: -11.6402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 9 + 3. Suppose -c = 5*o - 55 + 10, -o + 93 = 3*c. Calculate the highest common factor of b and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198894, -397917, -596938, -795957, -994974, -1193989, -1393002?\nAnswer: -1592013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*i - 36 = 4*g, 3*g - 4*i - 4 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31982 + -31686. Calculate the smallest common multiple of f and 814.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -971, -2253, -4029, -6275, -8967?\nAnswer: -12081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -140818000 rounded to the nearest 1000000?\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-346)\/865)\/((-4)\/(39 + 1)). Suppose 3*a + 3 + 7 = 2*r, -3*r + 15 = 3*a. Solve a*m = t*n - m + 8, -23 = n + 5*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/7 - 258*w**3\/7 + 492*w**2 - 2680*w\/7 - 912 = 0.\nAnswer: -1, 2, 14, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 + -57. Calculate the highest common divisor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41150.7 litres in millilitres?\nAnswer: 41150700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-11)\/o)\/(o*o*o**(2\/79)\/o))\/(o**5\/o)**45 assuming o is positive.\nAnswer: o**(-15249\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -530524 (base 6) to base 12\nAnswer: -20a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.2 + -11208.\nAnswer: -11180.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001295566551 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 743188086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 - 52*x - 3060. Suppose -4*a + 0*a + 96 = -4*q, -a = -4*q - 9. What is the remainder when a is divided by g(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5\/19 - 42*i**4\/19 + 62*i**3\/19 + 306*i**2\/19 - 784*i\/19 + 24 = 0.\nAnswer: -3, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**3 - 1553*s - 2530?\nAnswer: 6*s**2 - 1553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/10 and (-9 - 7310\/(-540)) + 4\/(-2).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10848.28m to kilometers.\nAnswer: 10.84828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 14\/17*h**4 - 16\/17*h**2 - 8\/17*h + 38\/17*h**3 = 0 for h.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 2*u**2 + 0*u**2)*(3 - 3 - 2*u) + (-3*u**2 - u**2 - 8*u**2)*(0*u - 2*u + 4*u) + 4*u**3 + 0*u**3 - 2*u**3.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48097 is divided by 171?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/23)*k**(2\/19)*(k*k**(-2\/5))\/(k*k\/k**(2\/5)) assuming k is positive.\nAnswer: k**(-353\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 504*g + 26. Let v(p) = -p + 4. Calculate t(h) - 6*v(h).\nAnswer: 510*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1157720 to the nearest ten thousand.\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*m + 21 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {i: 1, o: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 - 3493.3141852.\nAnswer: -3511.3141852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -150828072 divided by 232\nAnswer: -650121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 13, -4, 1, 3, -2, 8 in descending order.\nAnswer: 18, 13, 8, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*x - 54*x - 1494 = -43*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4820*p. Let t(l) = 3665*l. Determine t(o(r)).\nAnswer: -17665300*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53234560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167514092?\nAnswer: 2, 29, 1444087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 8*i + 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102703*7.\nAnswer: -718921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 405768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 89 = -13. Calculate the least common multiple of (-2)\/(-2) + (0 - -1) and 26 + (r - 9\/(-3) - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1913 - -1798.9. Let q = o - -114. Which is smaller: q or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61809205*0.1.\nAnswer: -6180920.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2. Let b(w) = 1419*w - 1418*w + 12 + 3. Determine b(k(i)).\nAnswer: -i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/31)\/n*n\/((n*n**17)\/n))\/((n\/n**(-2)*n)\/(n*n\/(n*n*n\/n**(-16))*n)))**(-13) assuming n is positive.\nAnswer: n**(14924\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16912660, -33825337, -50738030, -67650739, -84563464, -101476205, -118388962?\nAnswer: -135301735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11*6\/(-462) + 7)*3745?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163 - -237. Let x = 106 - r. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 120 = 2*t - 5*a, 4*t + 5*a - 450 = 0. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181890371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -272 - 131. Let c = u - -403.4. Sort -1\/6, c, 0.02 in ascending order.\nAnswer: -1\/6, 0.02, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 45\/28 (b) 7 (c) 4.7 (d) -4\/9 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/104103 and 83\/1228768.\nAnswer: 2974847328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 1:13 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -10 + -14 - -11 - -115\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = -3*z + 1654. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -2050?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31\/15 + -2. Let a(s) be the third derivative of -r*s**5 - 1\/60*s**6 + 0 - 1\/12*s**4 - s**2 + 0*s**3 + 0*s. Factor a(w).\nAnswer: -2*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5676221 to the nearest integer?\nAnswer: 2382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10296)\/8316)\/((-468)\/112)\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 4*q**2 + 2*q + 6. Let z be x(-4). Let d(i) = i**2. Let w be d(z). Suppose 0 = 4*g - h - 48, g - 31 = -w*h - 2. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0, 110.93?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1749338 centuries to years.\nAnswer: 17.49338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*-750.1.\nAnswer: 17252.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.349, 2\/13, 2\/5?\nAnswer: -0.349","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -133\/44116 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.2922 years?\nAnswer: 111.5064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 1 + 1)*(38*o + 1155*o + 44*o).\nAnswer: -2474*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 11722*i\/3 + 34351321\/3.\nAnswer: (i - 5861)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from wchowwcocci?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*w - 39*w - 7*w**2 - 32*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z + 40 = 0. What is the remainder when 31 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*r**(-8)*r))\/(r\/(r*r\/r**7)))\/(r**2*r**(-4)*r*r))**46 assuming r is positive.\nAnswer: r**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Suppose x = 4*g - 2*m - 2, 2*g + 0*m + 14 = -2*m. What is the units digit of (-21)\/g*4\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from wlllewwewewewle?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 345*n**2. Let t(f) = 2932*f. Give q(t(u)).\nAnswer: 2965835280*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:45 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -9\/8, 4\/7, -5\/33?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 2*y**5\/5 - 23*y**4\/4 + 26*y**2 + 2*y + 135. Find the second derivative of b(z) wrt z.\nAnswer: 24*z**2 - 138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 + 147 = -5*b. Let z = -36886 + 220799\/6. Let h = z - b. Sort 9, 0.5, h.\nAnswer: h, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1806, -1804, -1802?\nAnswer: -1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 + 101*z.\nAnswer: 101*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 7, b: 1, a: 6}. Give prob of sequence ah.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(8)\/(2*sqrt(324)) + 2 + (sqrt(16) + sqrt(64))\/sqrt(8) + sqrt(2)) + 3.\nAnswer: -73*sqrt(2)\/3 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 18*p**2 + 19*p + 9. What is t(-17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88772580 by 7397715.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1375\/(-15))\/55*-30.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -485*b - 7*b**2 + 3*b**2 + 486*b - b**3 to the form f*b**3 + d*b**2 + t*b + w and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -11169474.\nAnswer: -11169479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 4, -1.8, -17, -0.5.\nAnswer: -17, -1.8, -0.5, 0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1584) + ((sqrt(1584) + 0)*1)**2 + -3*1*sqrt(1584))*-2*-6.\nAnswer: -19008 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -45487429 and -0.17464593.\nAnswer: -45487429.17464593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v - 120*v - 31*v = -3072 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -208 + 207.77. Let d = c + 0.13. Let s = 0.2 + -2.2. What is the third smallest value in -0.5, s, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/4 - 6788385*b\/4 + 1697097.\nAnswer: -3*(b - 1)*(b + 2262796)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7242784.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -20) + -3 + -1. Let z(q) be the second derivative of q**3\/2 - 7*q**2 + 2*q. Is z(p) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323270099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-650)\/(-90) - 9) + 4\/(-18). Which is smaller: v or -72\/37?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v**2 + v - 1. Let o(b) = -7*b**3 - 3*b**2 + 7*b - 8. Let f(h) = -o(h) + 6*t(h). Give f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a - 45. Let s(n) = -6*n + 8*n + a*n - 1. Let p(h) = 31*h + 6. Let g(f) = 440*f + 85. Let o(l) = -6*g(l) + 85*p(l). Give 7*o(t) + 3*s(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:30 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s**3 - s**2. Suppose -a - 4*a = -5. Let t be i(a). Suppose 0 = -3*j + t + 7. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602994 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 divided by -61745?\nAnswer: 269\/61745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148394 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -22*a - 1124. Let p(y) = 13*y + 563. What is -3*j(c) - 5*p(c)?\nAnswer: c + 557","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*i - 3*p + 6, -2*i - 3*p + 21 = 0. Suppose 0 = -k + 4*f + 187, -110 = -k - i*f + 84. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000370069756 to 6 dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 23. Let s(o) = o - 46. Let r(y) = -7*j(y) - 3*s(y). Let i(a) = 2*a + 15. Let f(t) = -8*i(t) - 5*r(t). Let l be f(-10). Solve l - 1 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 3*t + p, -4*t + 2*p = 4*p + 82. Let w(s) = s**3 + 21*s**2 + s + 5. What is w(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1096, 2197, 3314, 4453, 5620, 6821?\nAnswer: 8062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ega when three letters picked without replacement from {s: 2, e: 3, g: 4, a: 6}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2430*s**2 - 53464*s - 88.\nAnswer: -2*(s + 22)*(1215*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 12*u - 18. Let q be a(-13). What is the hundreds digit of -5*(2 - (-183)\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3*l - 2*z, -7 = 3*l - 31*z + 32*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -71*v - 6. Let j be i(0). Let n(a) = -6*a - 3. Let x be n(-2). Let p(s) = x + 3 + 2*s - 5. Determine p(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -2, 35\/173?\nAnswer: 35\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/55? (a) -1\/3 (b) 2 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 3294 + 3294 + 0*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -283, -269, -237, -181, -95, 27, 191?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 27?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 2\/5 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 5*h**2 - 7*h - 21. Let g(s) = s**3 - 3*s**2 + 4*s + 10. Let v(r) = 7*g(r) + 3*i(r). What is the tens digit of v(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 1521.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.49 - -0.89. What is the nearest to -0.1 in 2.7, -1\/7, d?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -95. Let g be (-8)\/q + 6\/21. Put -4, g, 1 in descending order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2139.96 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/24)\/((-3)\/24) + (-64)\/(-84)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (38 + -29 - (1 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {s: 1, f: 1, d: 2, t: 4, k: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhshhshs. What is prob of picking 2 s?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315838 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6435, 12920, 19407, 25896, 32387, 38880, 45375?\n\"Answer: g**2 + 6482*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/(-3)*(-2)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 58*r - 63*r - 27, -r = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(-2)*184782\/(-515)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*v)*(-26 + 39 + 13)*(4*v + 1 - 1)*(-3*v + 4*v + 0*v).\nAnswer: 312*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 + t**2 - 7*t + 9. Calculate the remainder when 107 is divided by l(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1, 8.38, -2.5 in decreasing order.\nAnswer: 8.38, 1, -0.1, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 4 + (2 - 1). Let g(i) = 4*i + 4*i**3 - 4*i + 2*i + 1. Is g(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x**3 - 3*x)*(5*x + 0*x - 62*x)*(x - 2*x + 0*x).\nAnswer: -57*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3071*g**3*h + 91042979*g**3 + 5729*g*h wrt h.\nAnswer: -3071*g**3 + 5729*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1088) + -1 + (-1*sqrt(1088) - sqrt(1088)) - ((sqrt(1088)*-1 - sqrt(1088)) + 0))**2.\nAnswer: -16*sqrt(17) + 1090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1017*o**2 - 1016*o**2 - 2*o + 2*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1653 - 3881 = -2*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 56, 43, 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1877102694 and -447.\nAnswer: -1877103141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 248\/(-80) + (1\/(-20))\/((-2)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(7776\/351 - 22 - (-1104)\/260)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + 5 - (25 - 26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29986 is divided by 126.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3023009110 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/3 + 4\/(-6). Suppose o*d - 40 = 84. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 613317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 1260*h + 13 - 2530*h + 1267*h - 12 + 363*h**3 as v*h**3 + m + q*h**2 + z*h and give v.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -5, -298282\/7?\nAnswer: -298282\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*a + 4*y + 3, 5*a + 5*y + 5 = 0. Let b be a\/(-1) + 12\/3. Suppose -b + 0 = -z. Solve 5*g + 40 = -5*w, 0 = -g + z*w + 11 - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*2*sqrt(152)*3)\/(sqrt(392) - sqrt(392)*1*-4 - (sqrt(392) - 2*sqrt(392)*2 - sqrt(392) - sqrt(392))).\nAnswer: -18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -163715, -328839, -493951, -659045, -824115, -989155?\n\"Answer: c**3 - 165131*c + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 620095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5 + 10226*q**4 + 15026910*q**3 + 4795257582*q**2 = 0. Calculate q.\nAnswer: -2337, -439, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -286*a**2 + 1419*a + 9. Determine b(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111437?\nAnswer: 47, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 13 + 32*d**2 + (-2 - 1 + 2)*(-d + d - d**2) - 1 + 1 - 7*d**2 - 92*d**2 + 94*d**2 + 0 + 0.\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15*z - 7. Let b be f(4). Let a be 6052\/(-90) - (-8)\/(-40). Let q = a - b. Is q equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2554 times -0.0358?\nAnswer: 0.00914332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 15*q - 41 + 271 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3606 * 0.09.\nAnswer: -324.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -817 + 820. Suppose 2*q + 4*v = 2920, -2*q - c*v = -3*q + 1445. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -257 + 260. Let v be -2*(i - 9\/2). Let o be (-1)\/4 - 13\/(-4). Solve -5*a + 11 = -o*t, -v*a - t = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 32222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1374*i + 306. Let d be r(-7). Round d to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2232 = -5*m. Suppose -24*u + 10*u + 972 = 13*u. Calculate the greatest common divisor of m and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(1\/8)*(o**6\/o)\/o*((o\/(o\/((o\/o**(-3\/8))\/o*o)))\/o)\/o**4)**(-9) assuming o is positive.\nAnswer: o**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, 46, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4. Let u be (-2)\/5*(-5)\/11. Let a = -3.1 + 3. What is the nearest to a in u, n, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278668?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 35*v**2 + 306*v - 65. Let l be j(20). Solve -17*f - l - 81 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 21*h - 560 = 10*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -42, -65?\n\"Answer: -23*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 0.6?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + 55*d**2 - 92*d**2.\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6640578 by 21.\nAnswer: 316218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2204 at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622335 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*h + 0*h = -235, 181 = -4*k + h. Let a = k - -49. Solve a = -2*m + m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-5)\/(50\/22). Let f = -9 + a. Calculate the remainder when 21 is divided by 12 + 1\/(-2)*f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*48\/360*-10*(-1)\/(-2). Factor -a*z**2 + 8*z - 32\/3.\nAnswer: -4*(z - 4)*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*x - 412 + 409 = 0, 3*k + 3 = 3*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, w: 4}. Give prob of sequence twwt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**3 + 74*d**2 - 38*d - 544. What is m(-9)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 12:08 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -770.8 + 771. Is p at most as big as 321.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 3. Let k be c(1). Suppose 5*i + k*y - 10 + 3 = 0, 4*i = -2*y + 4. Solve -2*z + i = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -181431.\nAnswer: -1\/181431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16577 is divided by 3901.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 271307*x - 31 + 31 - 281819*x. Let z(h) = -2*h. Give z(u(a)).\nAnswer: 21024*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 1551*z**2 + 3*z**4 + z + 3 + 1553*z**2 to l*z**4 + s + c*z + d*z**3 + k*z**2 and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 453\/4 + -113. Which is the fourth smallest value? (a) x (b) 4 (c) -1\/4 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 - 7*m + 2. Let s be ((-11)\/(-11))\/((6\/579)\/(-2)). Let y = -186 - s. Let p(x) = 3*x**2 + 6*x - 2. What is y*p(n) + 6*i(n)?\nAnswer: 3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102130321 (base 4) in base 5?\nAnswer: -41301341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 9 = d. Suppose -25 = d*o + 7. Sort 2, 3, o.\nAnswer: o, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5*n)*(-4*n - 3*n + 0*n)*(-2*n - n + 0*n) + 0*n**3 + n**3 + n**3 + (2*n - 2*n - 2*n**2)*(2*n + 2 - 2).\nAnswer: 103*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 30 = y, 4*y + 44*c - 42*c = 150. Let k(w) = 2*w**2 - 22*w - 22. What is the least common multiple of k(13) and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 18*t + 33. Let y(d) = d**2 - 17*d - 34. Let z(q) = -2*r(q) - 3*y(q). Let g be z(-12). Do 2\/3 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 6.0336.\nAnswer: -8.0336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.290276039 to 5 dps.\nAnswer: -0.29028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 247 - 27 - 91 + 198 + 5*k as z + t*k and give z.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 5. Let x(m) = -20*m - 15. Let i(q) = -8*g(q) + 3*x(q). What is i(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x + 25, -5*g + 5*x = -745. Let n be (-74)\/(-26) + (g\/(-104))\/(-9). Solve 0 = -t - 2*r - 2, 2*r + 6 = 4*t + n*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3554 - -3553.999992125. What is t rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (17 - (-19 + 45) - 20).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86640 and 80?\nAnswer: 86640","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -242752 plus 1.3659?\nAnswer: -242750.6341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-1*sqrt(700)*-6 - sqrt(700))*2*5 + -5)**2 + -1)*3.\nAnswer: -18000*sqrt(7) + 5250105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -71*w. Let k(s) = -2*s + 12 - 16 + 4. What is t(k(x))?\nAnswer: 142*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.4 (b) 3 (c) -108 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.98 and -201849.\nAnswer: -201849.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(1*sqrt(70))\/sqrt(5))\/((-4*sqrt(22)*2)\/(-3*sqrt(11)*2)).\nAnswer: -27*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -16*b**2. Let c(s) = -4*s**2 + 3*s. Let d(p) = 9*p**2 - 7*p. Let j(t) = 7*c(t) + 3*d(t). Calculate x(j(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3305381 - -1925381. Round z to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/8)\/o*o*(o\/(o\/(o\/((o\/(o**3\/o))\/o))))\/o)**29 assuming o is positive.\nAnswer: o**(493\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -138998*-0.18\nAnswer: 25019.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 826 or 7426\/9?\nAnswer: 7426\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 20*j - 53*j + 80*j - 46*j. Let r(p) = 194*p - 8. What is r(h(f))?\nAnswer: 194*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000182 to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 - 29 = 0. What is the greatest common divisor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561 is divided by 349.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 123 = 0. Calculate the remainder when 325 is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8255 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -109, -456, -1043, -1870?\n\"Answer: -120*a**2 + 13*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22815 and 12980.\nAnswer: 59227740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.720017 to 1 dp.\nAnswer: 247.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121.31 - -118.31. Let z = 4 + -4. Let y = 0.2 - z. What is the smallest value in y, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10052 is divided by 651.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/51? (a) -0.04 (b) -3\/4 (c) 3 (d) 245 (e) 919\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 + -0.2. Let r = q + 6. Which is the nearest to -2? (a) 0 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - b + 6. Let z(t) = -t**3 - 6*t**2 - 13*t + 39. What is 5*d(j) - z(j)?\nAnswer: j**3 + j**2 + 8*j - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -0 - 88. What is the least common multiple of 11 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11172550 + 64234719. Let t = -37007257 + q. Suppose -4*a - 3*g + t = -6*g, -2*a = 5*g - 19199980. Round a to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.06 + 22. Let n = -5.28 - g. Round n to one dp.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55 and -1.3.\nAnswer: 53.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78246\/(-540))\/161*(-1*(-3)\/(-9) + 1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 10. Let o be (-2)\/(-11) - 10\/55. Let v = o + 7. Determine x(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 58392.02 centuries?\nAnswer: 583920.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2 + 93021912*q - 540817257008484 = 0. What is q?\nAnswer: 11627739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172630086 rounded to the nearest 100000?\nAnswer: 1172600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 320*l**2 + 7982*l - 436. Calculate n(-25).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/10893 < 8\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63825, 63824, 63823, 63822?\n\"Answer: -d + 63826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 1\/4, 2\/5, 1.9296, 4, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*i**3 + 54*i**3 - 112*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 4*q + 2. Let c be a(-5). Let d be ((-2)\/5)\/(c\/(-15))*-5. Solve 5*r + d = -3*o, 3*o - 4*r + 23 - 4 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2. Let s(t) = -2*t - 4. Let w(n) = 4*k(n) - s(n). Give w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*k**4 - k**3 + 267*k**4 - 3*k - 6*k**2 - 140*k**4 + 2*k + 3*k**3 as z*k**4 + h*k + g + p*k**2 + y*k**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -78, 79, 366, 801, 1402?\n\"Answer: 3*o**3 + 47*o**2 - 5*o - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191291 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -3) + -5 - -6 - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-20)*48\/(-36). Which is the nearest to -2? (a) -0.07 (b) 0 (c) 0.2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272342 a multiple of 794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + (-16 - 3) + 26\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101101101010011 (base 2) in base 16?\nAnswer: 15b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -554?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -50736276.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10248047.\nAnswer: 2287, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 4, 0.3, -83?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 5. Let m be n(5). Let h = -11 - 7. Let x = h - -13. Which is the third smallest value? (a) x (b) m (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25435.4 + 25435. Put -27, o, 4, 263\/3 in descending order.\nAnswer: 263\/3, 4, o, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2\/(-16)*63544\/(-23829)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3993\/691 + -7614833\/1257620. Let w = -37\/780 + a. What is the common denominator of w and -41\/55?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033 bigger than 59817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.002 - -0.07. What is j rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + 5 + -10 + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 52684*l - 346950482.\nAnswer: -2*(l - 13171)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.151026 to two decimal places.\nAnswer: -2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -2\/15 (c) -8 (d) 6\/47 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3 + 22*v**2 - 32*v - 640 = 0?\nAnswer: -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/10 - 4\/10. Suppose -4*b + 0*b = p - 5, 0 = b - f*p + 25. Solve 0 = -4*q - 2*z + 8, b = 3*q + 2*q + 4*z - 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 12*i**2 + 24*i - 25. Let u be t(15). Let o be u\/2*1\/(-2). Let d be o\/60 + 3*(-1)\/4. What is the second smallest value in d, -4, -0.5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896.1794 grams to nanograms.\nAnswer: 896179400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110721634 to the power of 1\/2, to the nearest integer?\nAnswer: 10522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.724677s to milliseconds.\nAnswer: 8724.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*g + 1. What is the remainder when 33 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 208 + -110. Calculate the highest common divisor of r and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-6) - 6*(-10)\/45. Suppose -4*z - 13042 - 1598 = s. Round z to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58902795 divided by 11835\nAnswer: 4977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8\/9 (b) -68.1 (c) 6186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31755, -31747, -31735, -31719?\nAnswer: -31699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3030 = 2*b - 4*i, -b + 3*i = -6*b + 7614. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(162)*-6 + sqrt(162) + 2)**2 + -2.\nAnswer: -828*sqrt(2) + 85700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*t - 40074515*d**4 - 2173*d**2 - 1783*d*t wrt d.\nAnswer: 48*d*t - 961788360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1 (c) -0.3 (d) 0 (e) -6994 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*k - 130*k + 111*k.\nAnswer: 76*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + o = -4*r + 15, 5*o + 24 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:40 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (8 + -4 + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 94 = -4*b. List the prime factors of b.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 + 85*x + 122. Let o be p(-9). Solve -69 = -16*h - o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-294)\/495*1\/(-2). Let g = -2\/55 - r. Let o(m) = -422*m - 4223. Let t be o(-10). Which is the biggest value? (a) t (b) 0.5 (c) g (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1.95. Let u = 255 + -249.95. Let q = u - c. Sort 0.1, -1\/2, q in descending order.\nAnswer: q, 0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 6:10 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-15292)\/1020 - 110535\/(-7369)\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + -5*(sqrt(931) + -3).\nAnswer: -28*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 3. Suppose 3*o - 42 = -0*o. Let c be o\/(l\/((-10)\/(-4))). What is the highest common divisor of 49 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, f: 1, h: 1, g: 1}. Give prob of sequence rf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 12 (c) -44.3 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-17)\/(y\/y**(-13)))**45 assuming y is positive.\nAnswer: y**(-1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/195*-13*9\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576214.\nAnswer: 2, 788107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175221 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: Let z(r) be the third derivative of r**4\/24 - 7*r**3\/6 - 10*r**2. Determine z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 12. Suppose -h*z - 5*z = 72. Does 13 divide (-274)\/(-10)*(14 + z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 250.9372 - -0.0628. Let t = 250.51355355 + 0.48277645. Let m = t - j. Round m to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1010 * 5.\nAnswer: 5050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1134567.69 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*l = 0, 6*k = 5*k + l. Which is smaller: -8\/13 or k?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 23*u + 35. Let g be m(-5). What is the second smallest value in -27, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:12 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 10*l + 0*l**3 + 7*l**2 + 0 + 9\/20*l**5 + 0*l**4. What is the derivative of n(w) wrt w?\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i*k**2 + 2*i*k*w**2 + i*k + k**2*w**2 + 282*k**2*w - 497*k**2 + 115*k*w + 192*w**2 + 3 wrt k?\nAnswer: -14*i + 2*w**2 + 564*w - 994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4 = 6. Let x(g) = 0 + 159*g + 222*g - 376*g + 1. Calculate x(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -778605 and -3114423\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870830293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/4)\/11*-4472. Let k = 40145\/18 + a. Find the common denominator of k and 15\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238033 divided by 397\nAnswer: -238033\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27334 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2657 and -15.327.\nAnswer: -2672.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63079405.206 - 63079938.20599506. Let x = u - -533. What is x rounded to 7 dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1488 and 941532?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 10. Let t be (-134)\/3 + (-42)\/(-63). Let x be 231\/t*(-8)\/3. Solve -g*l - 4 = -x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 15. Suppose -2*l + 170 = y, 4*y = -i*l - l + 250. Suppose 0 = -5*b + l + 34. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.34 + 1.76. Let v = r + -1.9. What is the nearest to v in 0, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 5 - (-1 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3081*a**3 - 6622*a**3 - 299*a + 3537*a**3 + 299*a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y + 33 - 118 = 0. Suppose -95 = y*p - 2*z - 3543, -2*p + 3*z = -1377. What are the prime factors of p?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629139403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**3 - 1. Let n be d(-1). Let j be 8\/3*-1*n. Let o(w) = w + 39. What are the prime factors of o(j)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((9 + -19)\/(-50))\/(18\/20). Sort -15, 0.1, y, -2\/3 in decreasing order.\nAnswer: y, 0.1, -2\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose -14 = -3*m - y. Let n = -162 + 162. Sort n, -3, m in decreasing order.\nAnswer: m, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let u = -0.007854 - 11.992146. What is the closest to n in u, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 5*b + 15 = -17*m, -5*m = 2*b + 6. What is the nearest to m in 0.4, 2, -0.23, 4?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 522?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2*x + 0*x)*(0*x**2 + 5*x**2 - 3*x**2) + (0*x**2 + 8*x**2 + 0*x**2)*(0*x + 3*x - 2*x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209963, 839846, 1889643, 3359354, 5248979, 7558518?\nAnswer: 10287971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -24. Suppose c = v - 24, 0*v = -v - 2*c + q. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 1586.\nAnswer: -9\/1586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -74636 divided by 1?\nAnswer: -74636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 27*c = 308. Calculate the smallest common multiple of 68 and 6\/(-1) - (c - 2).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14150411 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 8 + -10 + -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 59*p**3 + 184*p + 226. Find the first derivative of b(i) wrt i.\nAnswer: 354*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112326 - -5?\nAnswer: 112332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/8 (b) 0.2 (c) -2\/3 (d) 489 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9*444\/(-7). Let b = z - 21. Let m = 2.64 - 0.64. What is the second smallest value in m, -2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4\/2 + 1698*z**3 + 100035*z**2 + 1921242*z + 24466053\/2 = 0. Calculate z.\nAnswer: -19, 1189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*-1 + sqrt(6))\/sqrt(3) - ((sqrt(32))**2 + 3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -14. Suppose -5*i + 206 = -4*o, 0*o - 167 = -4*i + o. Calculate the greatest common factor of s and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bc052 + 2?\nAnswer: bc054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490391.\nAnswer: 11, 109, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 270 times 0.5\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 + 82*c**2 - 41600*c + 3143400.\nAnswer: 2*(c - 130)**2*(c + 465)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -6. Calculate the least common multiple of o and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 + 2.4. Let f = 0.4 - -0.5. Sort k, 2\/3, f.\nAnswer: k, 2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-46)\/110 - (-9)\/15. Let g(m) = m**3 + 3*m**2 - 8*m - 9. Let a be g(-4). Let b be a\/(-6) - (-13)\/78. Sort 2\/13, 0.2, p, b.\nAnswer: b, 2\/13, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*b + 6, -2*l + b = -6*l + 46. Let v(i) = -8*i - 164. Let c be v(-37). What is the greatest common factor of c and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 106?\nAnswer: 17\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 + (-6 - -17) + -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + 3 + 1\/2*-6. Suppose -321 = -k*h + 78. Solve -59*l + h*l - 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**0)*b*b*b**(-12\/11)\/b)\/(b**2*b**(-9)*b) assuming b is positive.\nAnswer: b**(76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 0.4, -0.2, 16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 41756918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.578245 millilitres in litres?\nAnswer: 0.000578245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 102630, 2\/3, 0.1 in ascending order.\nAnswer: -11, 0.1, 2\/3, 102630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 4:15 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2258 + 1824 = 14*q for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 2*d - 4. Let z be w(3). Let f = 0.554 - 3.554. Which is the smallest value? (a) z (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 41, -3, -21 in ascending order.\nAnswer: -25, -21, -3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1541 + -55465\/36. Let w = 353\/36 - d. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 482120, 964272, 1446414, 1928540, 2410644?\n\"Answer: -f**3 + f**2 + 482156*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**3 + 9*b**2 + 2*b wrt b.\nAnswer: 18*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1698368)\/51)\/(-446))\/(7\/(-2)).\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p*u**3 - 2*p*u**2 + 30472*p*u + 8333*u**5 - 2*u**3 wrt u?\nAnswer: -6*p + 499980*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from {q: 2, z: 11}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.03069t to nanograms.\nAnswer: 51030690000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 3*d - 2. Let j be y(-6). Let f be 25\/j*72\/(-2). What is the greatest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 233384*s*w**3 - 68*s - 3*w**4 - 4000 with respect to w.\nAnswer: 700152*s*w**2 - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1605 - 1941?\nAnswer: -3546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.9857 * 4.641.\nAnswer: -50.9846337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 123.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11979, -11700, -11253, -10638, -9855?\n\"Answer: 84*b**2 + 27*b - 12090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3531, 786, 5103, 9420?\n\"Answer: 4317*w - 7848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/25, 411, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8544 times 0.4?\nAnswer: 1.54176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/112 - ((-1400)\/(-128) - 6). Let y(p) = -49*p + 28. Let k(x) = -9*x + 5. What is q*y(w) + 28*k(w)?\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 979090016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-22 + 24 + -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwpwzpwpppwwpwwzz. Give prob of sequence zzz.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 6 - 6)*(5*t**3 + 7*t**3 + 3*t**3) to w + k*t**2 + m*t**3 + j*t and give m.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 168660*n + 337313. Determine j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 8*x + 3*x)*(-1 + 2*x + 1)*(-4*x + 0*x + 0*x + (-3*x + 1 - 1)*(-5 + 1 + 0)) as f + z*x**2 + k*x + n*x**3 and give n.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 1. Let k be 1 + -2 + 3 + 34. Let t(d) = 73*d - 36*d - k*d. Give -f(h) + 6*t(h).\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 7*c + 3. Let g be p(6). Let u(i) = g - 12*i - 4 + 11*i - 15. Let f = -5 + 0. Calculate u(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2496 = -37*x + 2795. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.01, -0.3, -1, 1\/2, -5, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 13 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/35)\/((16\/24)\/(20\/(-6))). Solve -3*f = -2*f + 3, 3*w + i = -3*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 - z**2 + 4*z - 2. Let f(m) = -16*m**3 + 5*m**2 - 21*m + 11. Let u(c) = -14*c - 171. Let w be u(-13). What is w*o(t) + 2*f(t)?\nAnswer: t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a*a**(-3\/4))**(-11)\/((a**(1\/11)\/(a**(-2)\/a))\/(a\/((a**(6\/5)*a)\/a)*a**(-6))) assuming a is positive.\nAnswer: a**(-229\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64378280 is divided by 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 2. Let d be (-1)\/(-2)*(-3 - -3). Let b be h(d). Let j(x) = x**3 - x**2 - 2*x + 1. Give j(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -193759 less than -193861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -39. Let w = b - -98. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226397.\nAnswer: 226397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 29, -0.0227?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*f + 9 = -309*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 times 7894?\nAnswer: 1341980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40455 and 33759?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*d = -9496, 3*d = -16*i + 11*i + 23772. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**32*(x**(2\/3))**(1\/37))**(-28) assuming x is positive.\nAnswer: x**(-99512\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 234*j - 8 - 6 + 3 + 16.\nAnswer: -234*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (261*j**4 - 71594*j**2 + 71594*j**2)*(-4*j + 0*j + 2*j + (0 + 3 - 4)*(0*j + 0*j - 3*j)).\nAnswer: 261*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16b503 (base 12) to base 15.\nAnswer: 7b689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4980, 5007, 5008, 4977, 4908, 4795, 4632, 4413?\n\"Answer: -h**3 - 7*h**2 + 55*h + 4933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*z - 4*z + 6*z)*(z - 1 + 1) + 3 - z**2 - 3.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 27 = -0. What is the greatest common factor of w and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/12 and -25\/278.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 4585.\nAnswer: 110040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 97*y**2 - 7*y + 2. Let r be n(-5). Suppose -854 = -i + r. Suppose 0 = 5*o - o - i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*g + 13*g = 190 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5115, -5101, -5097, -5109, -5143?\n\"Answer: -p**3 + p**2 + 18*p - 5133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + -0.09. Suppose 12*q = 11*q - 5. What is the smallest value in o, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -16, 2, 0.3, 18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -1 + sqrt(7))*5 - (-2 + 1*sqrt(14)\/sqrt(2)))**2.\nAnswer: -144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o**2 + 11. Suppose -5*m = -m + 3*v + 1, 4*m - 11 = v. Let n(h) be the second derivative of h**4\/12 + h**2\/2 + 118*h. Determine m*r(l) - 22*n(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*m - 274 + 274 + (2*m + 3*m - 3*m)*(-5 + 0 + 4))*(-2 + 2*m + m - 2*m) as c + n*m + i*m**2 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqsssqssss. Give prob of picking 1 q and 2 s.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - m - 41 = 0, 0 = 3*g + 2*g + 5*m - 35. Let a = g + -11. Which is greater: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 683326639 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026413.84 rounded to the nearest 100?\nAnswer: 1026400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*d**2 - 3*a*d + 14886793*a*n - a - d**2*n - 261*d**2 + 10 wrt n?\nAnswer: 14886793*a - d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -9. Let k(u) be the third derivative of u**4\/24 + 2*u**3\/3 - 261*u**2 - 2. What is k(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (1 + -1 + sqrt(605)))*-1*2)**2 + 4 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by -5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*w - 75*w = -39 - 191 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 203472.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 26347?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 + 2*g**3 - 3*g**3)*(77 - 132 + 631)*(-3 + 4 + 0 + 4 + 5 - 1 + 3 - 2 - 3 + (-3 + 5 - 1)*(-2 + 2 - 2)).\nAnswer: 5760*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 201*o - 7236. Determine k(30).\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-8 + 24 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1827 and 10323.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 120*v - 1079. Calculate n(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 600 = 5*b. Calculate the remainder when b is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/8)\/v*v*v\/(v*(v**(-13)\/v)\/v)*v)**(-4\/15) assuming v is positive.\nAnswer: v**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-22) + 2)*(-7)\/84*-40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19818896809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339 + -314. What is the common denominator of 8\/(-20) - (-1 - (-41)\/x) and -39\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 5, p: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.132691 weeks in days?\nAnswer: 14.928837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 5*n**2 + n. Let s be y(-5). Let r = 37922 + -37919. What is the third smallest value in r, s, 3.8?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -4 - (112 + 0)) + (-150 - -145)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:50 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8180 divided by 4.\nAnswer: 2045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**3 + u**2 - u + 1. Let w be g(1). Suppose a = w*a - 8. Find the third derivative of 2*b + b**3 - 3*b**2 + b**a - 2*b wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 43 - 16 = 3*l, 4*o = -l + 17. Let a be 2\/l - (216\/(-30))\/2. What is the first derivative of 8*u**4 - 18 + 13*u**4 - 3*u**a - u**4 wrt u?\nAnswer: 68*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378697 and 1393?\nAnswer: 2650879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b + 2. Let j(o) = -48*o + 11. Let x(v) = -34*g(v) + 6*j(v). Let a be (-3 + 0)*(-2)\/(-3). Is 12 a factor of x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9588594 - -1.055868. Let c = -204 - -204.097. Let s = c - u. Round s to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63 - (8 + -38)) + -2 + (2 - -3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 + -197. Let i = -90.1 - p. Let q = 34 + i. Which is the smallest value? (a) 4\/9 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from ksshksskssshksss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 - 24*n**2 - 4*n - 24. Let v be r(-8). Let k(o) = -2*o**3 + 16*o**2 - 3*o + 20. Calculate k(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/56*-2)\/((-10)\/40).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 163 = -65*u. Put 5, u, 6, 3 in decreasing order.\nAnswer: 6, 5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1445522 divided by -2098?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15)*0)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 33. Let g(y) = 36*y**s + 4 + 0*y - 37*y**2 - 5*y. Let j be g(-6). Which is bigger: j or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 2*a + 5. Let u be w(2). Let v be 4 - (63\/15 - u). Suppose v*o**2 - 2\/5 + 0*o**3 + 0*o - 2\/5*o**4 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863123 smaller than 1863121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + 10 - 28*x + 54*x - 29*x in the form m + v*x + y*x**3 + s*x**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24156440 by 644.\nAnswer: -37510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -5*u - 52. Suppose 21*l - u = 18*l. Put 0, 4, l, -5 in decreasing order.\nAnswer: l, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 378693300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3438 + 3547. Calculate the highest common factor of 763 and x.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkku when four letters picked without replacement from uuwuuuuuuuuuku?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5783.52158 - -440268.\nAnswer: 434484.47842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636342342?\nAnswer: 2, 3, 421, 251917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -166.251905 to 0 decimal places.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 147*f**4 - 6.\nAnswer: 588*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.14 + 1.96. Sort -3, f, 1 in decreasing order.\nAnswer: f, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 69*g**2 + 4*g - 5. Let u be x(1). Suppose 67*z + 12 = u*z. Calculate the least common multiple of z and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121022570?\nAnswer: 2, 5, 41, 59, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 17*q - 24. Let d be i(-18). Put -4, d, -1 in increasing order.\nAnswer: d, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593281 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1152))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67.1 + 34. Let z = -35 - g. Let o = z - -2.9. Which is the closest to o? (a) 2\/5 (b) -1\/3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40662751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2. Let l(w) = 2940*w - 15. Give l(b(m)).\nAnswer: -5880*m**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3043b5 - 3?\nAnswer: 3043b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -9 (b) 59 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + -9 + 8 + 275\/(-70) + -1 and 59\/386.\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 + 10001100?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-5 - 1)\/3. Suppose x = k*x - 14. Suppose 5*q - x = 8. Solve 0 = -q*i - 2 - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -661 + 28?\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 3:31 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 483443 + 5723257. Round y to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:12 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + (3 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w - 23*w + 74*w - 18*w - 48*w.\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 33\/(-24) + 2187\/8. Suppose -265*q - 624 = -b*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 30*l - 14. Let b be s(4). Let g(o) = -b*o - 3 + 4 + 92*o. Let v(k) = 2*k**2. Determine g(v(c)).\nAnswer: -28*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 3*b - 1. Let i be r(-1). Suppose 0 = 3*q + 2*x - 61, 3*q = i*x - 4*x + 59. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87050 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46710 = 7*r + 4717. What are the prime factors of r?\nAnswer: 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490960 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*m**4 - 2325*m**3 - 17115*m**2 - 54275*m - 62250 = 0. Calculate m.\nAnswer: -166\/23, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and 0.51.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054619 to the power of 1\/2, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4\/5 - 41*s**3\/5 + 17*s**2\/5 + 41*s\/5 - 14\/5 = 0. Calculate s.\nAnswer: -14, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 - (24 + (74 - 91))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, 4, 5, 6, 7, 8?\n\"Answer: c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -135. Let p = 13 - -55. What is the remainder when p is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 - 10*x**2 - 3*x + 4. Let i(s) = -3*s**3 - 11*s**2 - 3*s + 5. Let l(u) = 6*i(u) - 7*r(u). Suppose -1663 = -18*n - 1699. Give l(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2*z + 0)*(4 - 4 - 4*z)*(-3 - 13 - 2) to the form c*z**2 + v*z + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32785316 + 32785232.747764. Let n = 47.2522377 + h. Let g = 36 + n. Round g to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 4. Let u be ((-4)\/(-14) - 62\/70)*5. Let o(h) be the third derivative of h**4\/24 - h**3\/2 + 7*h**2. Determine u*o(a) - 2*b(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -40?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884384666.\nAnswer: 2, 11, 40199303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(3*g**2 - 8*g**2 + 2*g**2)*(124*g**2 + 254*g**2 - 70*g**2) to h*g**4 + v*g**3 + s*g**2 + q + d*g and give h.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*x + 3 + 4*x**4 - x - 6*x to v + n*x**4 + h*x**3 + j*x**2 + g*x and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:52 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 31*c + 23. Calculate z(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1684*n**2 + 73*n - 317. List the prime factors of y(6).\nAnswer: 5, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.8054 to 1 dp.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 11*b + 7. Let a(x) = -x**3 - 5*x - 3. Let h(z) = z**2 + 5*z - 7. Let k be -5 + (0 - 2 - -2). Let p be h(k). Calculate p*a(m) - 3*r(m).\nAnswer: -2*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 18 - 17*t + 23*t - 5*t. Let q be f(-14). Suppose -2*z - o = 2, -3*z - o - 3*o = 3. Put -4, z, q in ascending order.\nAnswer: -4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-42)\/(-168) - 14902\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -289, -9, 465, 1139, 2019, 3111?\n\"Answer: f**3 + 91*f**2 - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8005553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1973 + -922. What are the prime factors of c?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 4*i - 2*i - 3)*(24 + 8 - 9)*(5*i - 2*i - i)*(-i + 3 - 3) in the form v + g*i**3 + u*i**2 + r*i and give g.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.6 - -27. Which is the closest to -2\/7? (a) -7 (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12183, -24311, -36425, -48525, -60611, -72683?\nAnswer: -84741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 77 = -4*q - 27, 0 = -3*p. Let k = q - -35. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.2, 6, -0.6, 2\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3774704.8 and -29462.\nAnswer: 3745242.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -883*b**3 - 2*b**2 - 4*b - 2. Is s(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1669, -1668, -1667, -1666, -1665?\nAnswer: -1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - -4. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - k**4 + 3*k**4)*(2*k + 0 + 0) - 11832*k**2 - 91*k**5 + 11832*k**2.\nAnswer: -85*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11837827*z**3 - 2126*z**2 + 4*z - 389?\nAnswer: 71026962","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 9420*d + 9420*d - 2*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f = 21 + 25. Suppose 2 = -f*z, 2*p - 51 - 543 = -4*z. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9436684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147443469 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhhvvhhhhvhvhhhhhvh. Give prob of sequence hhhv.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221020 (base 4) in base 11?\nAnswer: -5067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c*q**2 + 21015*c*q - 2*c - 1436*q**2 + q + 271948738 wrt q?\nAnswer: -6*c*q + 21015*c - 2872*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 7*z - 26. Suppose -4*h = -3*w - 9, -5*h + 2*w = 4*w - z. What is the second biggest value in h, 2, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 14*h**2 + 37*h + 5. Does 7 divide i(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 10) to base 5\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446316 is divided by 65?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfd when three letters picked without replacement from lyddaaaafadu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 4*o - 3. Let b be w(4). Let g be (-16)\/(-8) - (b + 8). Is g greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(500) - ((sqrt(500)*-1 - sqrt(500))*-1 + sqrt(500))))*2 - (-3 + (-2 + sqrt(500)*-1)*-6))**2.\nAnswer: 3400*sqrt(5) + 50289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -0.2. Let c = 2 + -1.7. Let f = c - 2.3. Sort -1, l, f in decreasing order.\nAnswer: l, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0236 - 25.2064. Let u = 25 + v. Round u to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11335*t**2 + 25*t - 14017*t**2 - 26*t as m + p*t**2 + u*t and give p.\nAnswer: -2682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 33aa0332?\nAnswer: -33aa0331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/22)\/(-3) + -90 + (-87296)\/(-968).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285, 533, 781, 1029, 1277, 1525?\nAnswer: 1773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1575*-2049 - 32\/336?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, -119, -5, -4 in decreasing order.\nAnswer: 2, -4, -5, -7, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12)*(-215)\/(-43)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30808 and 14?\nAnswer: 215656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 677862 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4893462741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*u - 10 = 0, 3*x + 0 = -5*u + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 12:47 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 1 + 1)*(0*v**3 + 3*v**3 - 2*v**3) + (-v**3 - 4 + 4)*(-7*v + 0*v + 0*v).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from jiinijiivndi.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 12:38 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-1)\/(-1))*12. Let i be (100\/6)\/(14\/(-2)). Let t = 8\/3 + i. Which is the second smallest value? (a) 5 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0059892 + -0.006. What is n rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 + 4 - 15 + 20 + 2*l**3 + l**2 + l - 70 to i + n*l**3 + y*l**2 + o*l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10179.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, 603 in decreasing order.\nAnswer: 603, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319315.\nAnswer: 5, 63863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**3\/6 + q**2\/2 + 4*q. Determine j(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29349*a - 11745*a + 0 + 2.\nAnswer: 17604*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -2886, -5397, -7912, -10431?\nAnswer: -12954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. Let v = -4 - -3.94. Let h = v + -0.04. What is the nearest to 1\/4 in 1, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2. Let z(a) = -489*a - 45. Let o(s) = 5869*s + 555. Let b(r) = 6*o(r) + 74*z(r). Calculate b(d(q)).\nAnswer: -4860*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 472913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvjxxxjkkk. Give prob of sequence xx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 218 and 13866.\nAnswer: 1511394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 - 90*s + 1598. Is 18 a factor of q(64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-22) + 27\/33. Let d = 1.756 - 1.856. Suppose 0 = -0*r - 2*r - 4. Which is the closest to d? (a) r (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/7389954 and 1\/3204036?\nAnswer: 458177148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4755514 or -4755512?\nAnswer: -4755512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {t: 2, i: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 + 0 = 0. Let t(l) = -5*l - 12. Let u(v) = 6*v + 13. Let j(y) = 7*t(y) + 6*u(y). Calculate the lowest common multiple of n and j(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.042949 to 4 dps.\nAnswer: 0.0429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5619139.10999966 + 5619139. Let w = l - -0.11. Round w to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*x**6 - 69*x**2 - 2*x?\nAnswer: 14400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 846011c + -15?\nAnswer: 8460107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 63 = -3*x, 2*x + 5*d - 43 = -1. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -390, 1, -4 in descending order.\nAnswer: 5, 4, 1, -4, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 - 15*x - 166. Let b(i) = i**2 - 3*i - 33. Let n(t) = -11*b(t) + 2*w(t). Let y be n(7). Solve 4 = -y*v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150020571.\nAnswer: 3, 67, 746371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/120 - 11*a**5\/60 - 5*a**4\/12 + 5*a**3\/3 + 5*a**2. Let n be l(-10). Is 4068\/n - 1\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 264843 + -0.1.\nAnswer: 264842.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53810580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*q - 7118 = 1653 - 849 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1277*z**2 + 713*z.\nAnswer: -2554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j - 5. Let s be o(-8). Suppose -p = -4*p + 2*c + s, -18 = -5*p + 3*c. Suppose -6 = -4*z + p*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8641 divided by 15473\nAnswer: 8641\/15473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5))**(-4\/35)*(j\/(j**0*j))\/j**1)**(-46) assuming j is positive.\nAnswer: j**(8418\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 93528.24 hours in minutes?\nAnswer: 5611694.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27548790 rounded to the nearest 100000?\nAnswer: -27500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46.38, 4, -6\/65 in decreasing order.\nAnswer: 4, -6\/65, -46.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.54 + -118466119712.\nAnswer: -118466119715.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 91\/(-5))*(-300)\/840?\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 31604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3222430 (base 5) to base 16\nAnswer: d5d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 27*d**3 + 67*d - 24*d**3 - 67*d - 3 in the form q*d + j*d**2 + r*d**3 + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28034 + 1914.28034. Is i smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, -23, -11, 7, 31?\n\"Answer: 3*p**2 - 3*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1216)*1 + -5).\nAnswer: -25 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.64783 at most as big as 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17*k - 335. Let l(p) = 11*p + 224. Calculate 5*d(a) + 7*l(a).\nAnswer: -8*a - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213859 by 3.\nAnswer: 213859\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -528*b + 530*b, -d + 34648 = -b. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -1. Let j be 20*(-2 + (-15)\/(-10)). What is the smallest value in u, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/32535 and 93\/4240.\nAnswer: 27589680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*b - 120 + 44, 2*b = u - 26. What is the third derivative of u*c**2 + 3*c**6 - 27*c**2 + 3*c**6 wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.28149 rounded to the nearest integer?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 83\/((3 - 3\/6) + -2). Let o = q - 98. What is the remainder when o is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 11:56 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 866227 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, 5 in descending order.\nAnswer: 5, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*r + 22, -2*t - 9*r + 16 = -5*r. Suppose 10*q - 176 = t*q. Find the first derivative of -12 + q*f - 16*f - 15*f wrt f.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + w**2 + 30505392*w - 30505392*w.\nAnswer: w**2 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 17178.\nAnswer: 17178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**2 + 4*n. Let i(v) = 4*v**2 + 5*v. What is 3*f(p) - 2*i(p)?\nAnswer: 7*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211022 + 1000022?\nAnswer: 1211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -129635.3*85\nAnswer: -11019000.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (-28 - -43 - -90)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*(sqrt(35) - (1*sqrt(140) - sqrt(140) - sqrt(35))))\/(5*sqrt(700)*-2))**2.\nAnswer: 9\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4 - 808*m**3 + 7380*m**2 - 22248*m + 22302 = 0?\nAnswer: -413, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1416.173 litres?\nAnswer: 1416173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 94 - 43)*(2 - 4 + 1)*(-3 - 4 + 5)*(0*z**2 + 2*z**2 + 0*z**2 + (0*z + 4*z - z)*(-1 + 2*z + 1)).\nAnswer: -2800*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 118, -0.06, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(252\/(-200)))\/(41125\/57575).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and 6906850.\nAnswer: -145043850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 387 + -387.05. Sort a, -6, 1\/6, 0 in ascending order.\nAnswer: -6, a, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -10. Suppose 4*x = 2*w + 2, 0 = -j*x - 3*w - 3. Suppose -4*g + 20 = x, -3*r + 4*g = r - 4. Calculate the remainder when 17 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 81 + -33?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, -2122, 2, -44 in descending order.\nAnswer: 126, 2, -44, -2122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-169*v - 22486 + 22486)*(4 - 1 - 1)*(-4 + 3 - 3) to the form y*v + h and give y.\nAnswer: 1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2209022328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2748*k + 13743. Let h be o(5). Put -5, -1, 2, h, 580 in decreasing order.\nAnswer: 580, h, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1284849 + 0.038272.\nAnswer: 1284849.038272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/8 and -95\/14143018.\nAnswer: 56572072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-1)\/14*(-17611)\/3202?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*x - 156 + 156 + (0 + 2 + 0)*(x - 2*x + 0*x) - 3*x - 2*x + 4*x + 3*x + 0*x - x + 3*x + 20*x - 3*x + 2 - 2 + 3*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/26 - (-15)\/(2925\/(-420))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y - 206*y**3 - 23*y + 208*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156636, 156772, 156906, 157038?\nAnswer: 157168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-75) - (4\/(-12))\/(86\/246)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 2170191011\nAnswer: -2170191010.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -59*j + 62*j = 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-83865)\/10*(60\/18)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10244858 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 19951120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 + 9*h**2 + 15*h - 14. Give q(5).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 254630477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 - 1 = 2*f, 0 = 2*u - f - 5. Let p be (-1)\/6 - (-38)\/12. Solve p*n + u*n = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1188, -2366, -3544, -4722, -5900, -7078?\n\"Answer: -1178*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134.285 - 0.285. Let k = 701951902 + -701951767.9999778. Let f = k - w. What is f rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 4*m**2 + 5*m + 2. Let q be -1 + (-4)\/(-1 + 3). Let l be r(q). What is the biggest value in 3, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/30)\/((-3)\/(-12)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let i be 4 - (0 - 4 - -3). Suppose 21 + 19 = i*m + 4*t, -3*m + 2 = -2*t. Let p(a) = 0*a + m*a + 0*a + 3*a. What is p(k) - 6*v(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - 4*t**4 + 4*t**4 - 3*t**3 + 3*t**3 - t**4 + (3*t**3 - 8*t**3 + 3*t**3)*(2*t + t - t) + 3*t**4 + 3*t**4 - 3*t**4 - 4*t**4 - 2*t**4 - 2*t**4.\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2099*a + 48396. Calculate m(-23).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.862799 tonnes to milligrams.\nAnswer: 7862799000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 199 = 2*u + d, 2*d = -u + 47. Let n = -36 + u. Suppose n*r - 84 = 36. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/3))**(2\/157))**(-34))**41 assuming p is positive.\nAnswer: p**(5576\/471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 1126 - 2642. Let g = o + -625. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from kkkkczqckkmq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o + 1. Let g = -64 + 107. Suppose -3*n = -4*v + g, 0 = v - 5*n - 0*n - 32. Let q(k) = v*k + 0 + 2*k - 3. Calculate -7*d(j) - 3*q(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(105\/(-51) + 2). Let o = 27 - t. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -56. Suppose -12*d + n = -9*d. Let c(h) be the second derivative of -h**4\/12 + h**3\/3 - h**2\/2 - h. What is c(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -8\/5*l**2 + 6\/5*l + 0 = 0.\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 76. Solve -3*k + g*k = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3934 is divided by 1953?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -426930*f**6 - 15*f**4 - 711*f**2 + 1949.\nAnswer: -51231600*f**3 - 360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*u + 2, -13 + 2 = -3*l + 2*u. Let h be (3\/(-2))\/(12\/(-16)). Let r(i) = -i**3 + 4 + 3*i**3 - i**3 - 2*i**h. What is r(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5519\/2 or 2761?\nAnswer: 5519\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72575 and -0.4.\nAnswer: 29030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 159\/189 - (-18)\/(-63). Which is greater: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -28*(-36)\/24 + -3 + -1. What is the highest common divisor of q and 874?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 10:47 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 - -408. Let y = k + -219. What is the greatest common factor of y and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (1 - (-5 + 4)) - (6 + -13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h - 5. Let w be j(-2). Suppose -2*t + 2*v = -20, -4*v + w*v + 46 = 3*t. Calculate the remainder when 68 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 639 and 3645921.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49\/8 in -0.4, 3\/13, 1, -0.06, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -3. Suppose 2*n - p - 37 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -1181*a**4\/12 + 2*a**3\/3 - 7*a**2\/2 - 8*a. Let w be y(3). Is 3\/(-7) + w\/(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/5 less than or equal to -40\/2569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -6*k**2 + 2*k - 7179. Give y(-6).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.18 in -4\/3, -7, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 243859?\nAnswer: 10973655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17704?\nAnswer: 2, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 6*y + 0*y)*(y**2 - y**2 - y**3) + 2*y**4 + 24*y**2 - y - 90*y**2 + 45*y**2.\nAnswer: y**4 - 21*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3 + 11141165*x**2 - 15515697479944*x + 7757845954681 = 0.\nAnswer: 1\/2, 2785291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -1. Let g(p) = p - 2. List the prime factors of g(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-256)\/(-40))\/(20\/(-50)) + -4. Let g = -1 + -4. Let w = g - -5.4. Which is the smallest value? (a) n (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3251 is divided by 255.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2112\/3360*49\/(-385)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 4 + 1)*(-x - 9*x + 0*x + x - 3*x + 0*x + x - 1 + 1 + (-4 + 4 + x)*(-3 - 2 + 7)) to the form a + j*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 12 = -5*y. Suppose -y*f = 5 + 10, -28 = -t + 4*f. Suppose 22*a + 84 = 29*a. Solve 0*s = 5*w + 2*s - t, 4*s = 4*w - a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y - 8. Let t(v) = -5*v - 9. Let m(j) = 6*i(j) - 5*t(j). Let c(k) = -2*k - 10. Let u be c(-8). Let x be m(u). Solve -x + 6 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -2 + (3 - -11) + 25 + -52.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 4*j**2 - 4*j + 2. Let y be k(2). What are the prime factors of (-3)\/(y\/(-28)*6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x. Let d(w) be the first derivative of -149*w**3\/3 + 1230. Give d(h(r)).\nAnswer: -1341*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 80 and -1.8.\nAnswer: 78.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2369 + -0.2\nAnswer: -2369.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 272 + 83. List the prime factors of s.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/18 - (3 - (-1360)\/12). Let z = -122 - f. Sort 0, -4, z.\nAnswer: z, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -22.9. Is 2\/21 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 + 178. Is -27 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 - 8*d**2 - 18*d + 74. What is z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 743.5 - 744. Put -4, b, 49 in ascending order.\nAnswer: -4, b, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -48. What is the remainder when 59 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17770829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 2 - 5*z + 3 - 3*z. Let j(v) = -v**2 - 174*v + 523. Let r be j(3). What is p(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1. Let h(b) = b - 3. Let f(k) = 5*g(k) + 3*h(k). Let m be f(3). Let j = -22 - -23. Put -4, m, j in increasing order.\nAnswer: -4, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 37*g**2 - 18*g + 4. Let k be m(18). Let r be (5973\/(-9) + -3)\/(k\/(-186)). What is r rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)*-3*(-2)\/(-6). Let b = 2\/3 - x. Which is greater: -4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {q: 1, n: 1, r: 17}.\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 2 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1464 = 28*x. Let y be (-3 - -1)*(-6)\/4. Suppose y*w - 23 - x = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166.96 - -173. Let k = a - 0.04. Let m = k + -1.5. Round m to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 5. Let t(v) = -2*v - 13. Let g be t(-11). Let p(z) = -20*z + 15*z + g*z - 7. Calculate -5*p(l) - 7*w(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 4, w: 2}. What is prob of picking 2 w and 1 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**3 - 102*c - 50 + 91*c + 50.\nAnswer: 12*c**3 - 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + -1 + sqrt(1088))*6)**2 + 1 + 0 + sqrt(1088).\nAnswer: -1144*sqrt(17) + 156709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 - (-1)\/(-22). Let p be ((-8)\/(-20))\/2*5\/4. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1700))**2*-4 + 0.\nAnswer: -27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16467 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from uquqqjjmuqw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -0.3, -3\/4, 1.38?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -779*i*r**5 + 9719*i*r**3 - 144*i*r**2 + 27*i*r + 2*i + 188*r**2 wrt r?\nAnswer: -46740*i*r**2 + 58314*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/58 and (-606)\/(-9)*(-4)\/(-32).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 5*k**3\/6 + 11*k**2 + 88*k. Let x be v(-5). Which is the second smallest value? (a) -25 (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25124 (base 8) to base 5\nAnswer: 321321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38085 = -98*g - 228*g + 204671. Solve -3*y = -5*o + 2, -g*o + 516*o + 18 = -2*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57377 is divided by 18662.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56828433 is divided by 11365686.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 130*f + 214. Let q = 509 + -513. Let z(g) = -130*g - 213. Let x(d) = q*m(d) - 3*z(d). What is the derivative of x(w) wrt w?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*m = 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/3 - 4*b**4 + 12*b**3.\nAnswer: b**3*(b - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 1305?\nAnswer: -9135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 77. Let t = 47 + o. Let l(v) = -3*v + 5. Let s(z) = 1. Suppose -4*f = -5*b - 40, 5*b + f + 10 = -5. Calculate b*s(i) + t*l(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**(-1\/4))\/f))\/(f\/(f\/f**(1\/21))))\/(f*f*f**2*f)**(10\/11) assuming f is positive.\nAnswer: f**(-3551\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o**2 + o. Let k(w) = 4*w**3 + 19*w**2 - 3*w - 25. Let r(x) = k(x) - 3*l(x). What are the prime factors of r(-15)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35490566 and 4090.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 188 = -74. Is (67395\/(-45))\/((-1)\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 - -129. Let d be 1\/2*(-3 + -11 + p). Solve 0 = -4*r - 13 - d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose -32 = -g*z + 6*h - 2*h, 0 = -z - 5*h + 17. Suppose -11 = -z*m + 13. Solve -w + m*w - 1 = 5*f, -4*f - 1 = -w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8449 + -8433. What is the least common multiple of 23 and s?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1154 + 1165. Which is the closest to -2? (a) 2 (b) r (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/180 + n**3\/2 - 3*n**2. Let d(y) be the first derivative of i(y). Let x(t) = 4*t**2. Calculate d(x(b)).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3.3. Let z = g - -0.8. Let w = 1.7 + -1.4. Which is the closest to 1\/4? (a) 5 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:17 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 1\/48*w**4 - 17*w - 1\/12*w**3 - 3\/8*w**2 + 0. Let k(o) = 0. Calculate o.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3 = 0, -15*b + 4*h + 3 = -16*b. Solve 4*j + 4*o - 23 = j, 2*o = -j + b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -14.279.\nAnswer: 4.2837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 27*t - 108. What is d(24)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 16, 51, 118, 229, 396?\n\"Answer: 2*t**3 - 2*t**2 + 7*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -1 - 470\/(-160). Let k = 151 + -151. What is the smallest value in o, k, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 12*h**2 - 8*h.\nAnswer: -4*h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48108, -96255, -144424, -192621, -240852, -289123, -337440?\nAnswer: -385809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1668, 3075, 4224, 5115, 5748?\nAnswer: 6123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -16*((-1398498)\/14 + 6\/(-21)). Let g = -872288 + h. Round g to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -281569.53414 to the nearest ten.\nAnswer: -281570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50581.81 litres to millilitres.\nAnswer: 50581810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Let f be g\/(0 - (-4)\/65400002). Let s be (-4)\/(-12) - f\/6. What is s rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**4 + 5740*y**3 - 2471070*y**2 + 472798060*y - 33923260805 = 0.\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -5, -7885, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 2\/2)*1. Let n be ((-4)\/v)\/((-1)\/(-24)). Let l be 4\/6 + 22\/3. What is the greatest common factor of l and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/60 - z**2 - 16*z + 95. Let f(d) = 4628*d**2. Give c(f(n)).\nAnswer: 21418384*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*-0.04518346.\nAnswer: 0.0085848574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -637 + 22. Let m = k - -150. Suppose u - 4 - 14 = 0. Calculate the greatest common factor of m and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2))**2 - (sqrt(11) + 0 + -2).\nAnswer: -sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -180253*b*d**2*r - b*r**2 + d**2*r - 2*d**2 + 4*d + 1829*r**2 wrt b.\nAnswer: -180253*d**2*r - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47.19 - -5.\nAnswer: 52.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7074*d + 49516. What is l(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let i = -1.1 - -0.77. Let r = -0.13 - i. What is the closest to n in r, 0.4, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 2 + 2)*(8 + 0 - 6)*(k - 3 + 3) to a + c*k**2 + b*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 >= -43476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 1\/9*g**3 + 0*g + 4 + 0*g**2. Factor p(r).\nAnswer: r**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 5a0b09?\nAnswer: -5a0b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1143 (base 8) to base 3\nAnswer: 211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:49 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011101111 + 101?\nAnswer: -100011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uofvforfuurbuuvurrr. What is prob of sequence uf?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 12*c + 6. Let y be p(0). Solve -y*d = -9*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 18096*o + 25088*o - 25243*o + 46851*o - 1 + (2*o + 3*o - 3*o)*(-6 + 4 + 3) - 1 + 1 + 2*o.\nAnswer: 64796*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, 3, -17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 12 - 2 = -5*d, 12 = -2*i + 2*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102316 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/3 - 7272373*q\/3 + 4848250 = 0. What is q?\nAnswer: -7272375, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 16 + 13)*(7*v - 13*v - 23*v).\nAnswer: 319*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -22*o. Let g be (-252)\/(-130) - (3 - (-26)\/(-10)). Let i = 166\/91 - g. Is i not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**2 - 4*g + 5. Let z be f(4). Let u(r) = 16*r + 389. Let j be u(-30). Let y = j - z. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {t: 1, o: 1, w: 1, c: 2, n: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548 = 23*r + 3 + 154 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 - o + 1. Let a be w(1). Suppose 126 = 20*f - 14*f. Let b(u) = 25*u - 6 + f*u - 49*u + u**2. What is b(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.2802873 to 2 decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 - 8*w + 21*w - 10*w.\nAnswer: -8*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13)*-1)**2 + -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1984661, 3969317, 5953973, 7938629?\n\"Answer: 1984656*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 219 - 735372989499.\nAnswer: -735372989280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-62)\/(2480\/12860)*(0 - (1 + 193)).\nAnswer: 97, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 300*q**4 - 2*q**3 + 314*q - 1. Let r(t) = 2*t**4 - 2*t**3 - t - 1. Let l(d) = -r(d) + u(d). What is the second derivative of l(j) wrt j?\nAnswer: 3576*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/8 - 5*i**3\/6 - i**2 + 2*i. Let p(b) be the first derivative of z(b). Let u = 5 - 1. Calculate p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -2)\/(2\/(-14)). Find the first derivative of -8 - 68*d - 20 + u + 19*d wrt d.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let m(g) = 40*g + 40*g**2 - 7*g - 31*g. Calculate m(l(q)).\nAnswer: 40*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 333*x**4 + 164*x**2.\nAnswer: 7992*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 2*d**4 + d**3 + (-2*d**2 - 3*d**2 + 3*d**2)*(14*d**2 + 8*d**2 - 25*d**2) in the form s*d + b*d**2 + p*d**3 + q*d**4 + y and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 6. Let m(f) = f**2 - 2*f - 10. Let n(c) = 3*m(c) - 5*v(c). Calculate n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2074 and 460632?\nAnswer: 28098552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 152085468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1921, 12570, 41491, 97822, 190701?\nAnswer: 329266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 23. Calculate z(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 + 58. Let b = q + -75. Let u = 268 + b. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18882\/(-21))\/((-78)\/364)?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 15*q - 10. What are the prime factors of o(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.168 - -0.15. Round z to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*1 + sqrt(228))*4 + sqrt(228) - ((sqrt(228)*3 + sqrt(228))*-1 + sqrt(228) + sqrt(228)))\/(-3*(sqrt(384)*2)\/sqrt(8)).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16513\/201 or -83?\nAnswer: -16513\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 295, 2215, 7395, 17455, 34015, 58695, 93115, 138895?\n\"Answer: 270*a**3 + 10*a**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 2*b**2 + 3*b. What is the units digit of v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000952 rounded to 6 dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 90*r**4 - 21*r**4 + 7*r**4 - 27*r - 28*r + 52*r to c*r**2 + o + a*r + d*r**3 + u*r**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -755769*f**5 - 4273908*f wrt f?\nAnswer: -15115380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaorra. What is prob of picking 1 x and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 274 - 269. Let a(v) be the third derivative of 1\/30*v**z + 0*v**3 + 1\/120*v**6 + 0*v**4 + 0 + 0*v + 4*v**2. Find the third derivative of a(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -9*c**3 - 40*c**2 - 5*c + 127. What is the tens digit of n(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5025420 + 12?\nAnswer: -5025404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0*z**2 + 7\/12*z**4 + 0 + 22*z + 7\/2*z**3. What is the second derivative of o(n) wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 4 (b) 0.5 (c) 6 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3700203 is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363094 is divided by 1064.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 10*b - 65, -2506*h - 18 = -2*b - 2502*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r**2 - 16*r**2 + 391 + 493*r + 38*r**2 - 86 = 0. Calculate r.\nAnswer: -61, -5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.3421\nAnswer: 2.0526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m**3\/4 - 236352*m**2 + 6206918656*m.\nAnswer: m*(3*m - 157568)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35931, -35307, -34683, -34059?\n\"Answer: 624*g - 36555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/2 and ((-865)\/171 + 2 + 3)*124\/48?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3*y - 59654082*j**3 + 2*j*y + 6211*j + 605*y - 1 wrt j?\nAnswer: -12*j*y - 357924492*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*v - 7342 - 6483. What are the prime factors of v?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 2. Let z = -8 + 8. Let c be 10 - z*(-3 + 2). Suppose -5 = -5*n + c. Let r(u) = -u - 3. What is n*t(d) + 2*r(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*v = -32*v + 140. Is v smaller than -8\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 25 = 130. Let l = k + 33. Find the common denominator of 10\/(-16) + 3 + l and 43\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f + 96*f + 132 = 206*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 3, 18, 37, 54, 63, 58, 33?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.03 + 0.906. What is j rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-172\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 4*v. Suppose -1 = 2*g - g - v*d, 4*g - 5*d - 10 = 0. Find the third derivative of 8*l**g - 7*l**2 - 15*l**5 + 3*l**5 wrt l.\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(320)\/(sqrt(10) - sqrt(250)) + 1 + 0)*1)**2.\nAnswer: -32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.48432 + -0.08432. Which is the third biggest value? (a) 3 (b) n (c) -197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5 - 14*i + 4*i + 5*i + 8*i. Determine v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**3 - 18*p**2 - 14*p - 4. What is the hundreds digit of d(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 0*d - 6*d - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 179*k - 353. Let o be c(2). Determine x so that -16\/7*x**4 + 2\/7*x**o + 50\/7*x**3 - 76\/7*x**2 - 16\/7 + 8*x = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haha. What is prob of picking 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1341)\/(-2384)*(-4)\/(-3). Which is smaller: i or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwwwwwwagwwwgwwawaa. Give prob of sequence gw.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (29 - (-13 - -26))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 183809.37 and 2.3998?\nAnswer: 183806.9702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203998950 and 1350?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2464859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**14\/l)\/l)\/(l\/((l\/(((l\/(l**(-16)\/l)*l)\/l)\/l))\/l)) assuming l is positive.\nAnswer: l**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {r: 15, m: 3}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 8:56 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17415835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j - 444. Let s = j + 250. Suppose -99 = -2*w - 5*u, 5*u + 313 = 3*w + s. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 3038967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/205 + 4 + (-18)\/(-30)*-16\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 236838?\nAnswer: -236842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 6013*l**6\/30 + 73*l**4\/4 + l**2 - 124*l + 8. Find the third derivative of d(g) wrt g.\nAnswer: 144312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 12*x - 11. Let m be k(5). Let y(h) = h**2 + h. Let o(a) = -6*a**2 - 8*a. What is m*y(t) + 3*o(t)?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 15 = -2*d, -d + 9 = 3*c. Let t be (c\/(-4))\/(3\/(-18)). Suppose -t*s - 6 = 0, 2*p + 3*s = 6*p - 90. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.19 - 2.329. Let p = k - -0.439. Suppose -2*h - 2 = -2*g, -5*h + 1 = g - 0*h. Which is the third biggest value? (a) p (b) 2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 13*s**2 + 19*s + 1. Let v be 1 - (12 - 2) - -4. Let w(m) = m**2 + 9*m + 5. Let q be w(v). Is y(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58829 + 58807.9972. Let n = d + 21. Round n to four decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = -2*l - 17, 0 = 5*v - 5*l - 20. Suppose 0 = -v*a + 2*a + 2. Let f(g) = 2*g**2 - 1. Let x be f(a). Sort 1, x, 1\/5 in ascending order.\nAnswer: 1\/5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 362850*g**3 + 341520*g**2 - g.\nAnswer: 2177100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2130 + 0 - (27 + -18). Calculate the highest common factor of 21 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91285 divided by -119.\nAnswer: 91285\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 34 = -5*s + 2*c, -5*s + c + 40 = 0. Suppose 6*x + 12 - 36 = 0. Calculate the greatest common divisor of s and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 - 7*x**2 + 3. List the prime factors of k(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 176893541?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -673?\nAnswer: -66e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739212.5ml to litres.\nAnswer: 739.2125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3 + 0 - 5 - 6 - 1 + 3 - 3 + (5 - 1 - 2)*(2 + 0 - 1))*(0*o**2 + 4*o**2 + 3*o**2) to the form a*o**2 + y*o + i and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152116391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-412)\/(-20) + 2\/5. Suppose -l = -32 - w. Let g = l - 27. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - h**2 + 4 + (4 - 2*h - 4)*(h + 3*h - 2*h) + 4*h**2 - 3*h**2 - 3*h**2 + (-1 - 3 + 2)*(-7*h**2 + 2*h**2 - 4*h**2).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 6*p**2 + 5*p + 6. Let y be t(6). Calculate the greatest common divisor of y and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -38 + (-2 - 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25\/4 + 5\/2*s - 1\/4*s**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126111 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 0.5, -3, -2\/5, 0 in increasing order.\nAnswer: -75, -3, -2\/5, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -3)*(0 + 1). Suppose 5*p - 8*p + 6 = i. Suppose -h = -4*s + 15, -s + 11 = 5*h + 2. What is the remainder when p is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38883289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2 - 2 + (-6 + 6 - k)*(24 - 28 + 19))*(-2*k**4 - 3*k**4 + 3*k**4)*(0 - 3 + 1).\nAnswer: -64*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d9ca (base 15) in base 12?\nAnswer: 71324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*v + 1)*(-5 - 3*v + 5) - 2*v**2 + 2 + 86*v - 86*v + 0*v**2 - v**2 + 0*v**2.\nAnswer: 3*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -180*f + 296. List the prime factors of l(-19).\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6 + -4)\/(20\/(-107)) and -55\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01097221222 rounded to five decimal places?\nAnswer: 0.01097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, -8104 in ascending order.\nAnswer: -8104, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1210400233?\nAnswer: 1210400234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*u - 53*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/166 and -9\/1820?\nAnswer: 151060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*n - 688*n + 308763 = -1776*n - 1840*n for n.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.066 - -5.966. Let f = -0.3 + -0.2. What is the closest to 1\/4 in f, h, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 25. Let a = -7 + q. Suppose 0 = 3*l + 6, -a*k = -4*l + 13 - 45. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -242, -248, -268, -308, -374?\n\"Answer: -l**3 - l**2 + 4*l - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 + 12*l + 6. Let z(j) = j**2 - j - 1. Let t(c) = s(c) + 6*z(c). Let g be t(-7). Suppose -3*w + 2 = -g. Is 0 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 1317 + 1562. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (88\/(-7) - (612\/(-63))\/17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u - 6. Suppose 0 = b - 3*b + 10. Let g(s) = -13*s - 19. Let p(k) = 7*k + 10. Let n(f) = -3*g(f) - 5*p(f). Calculate b*w(t) + 4*n(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 26 + 44 = 0. Solve -p*c = -5, -u + 0*c + c + 2 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -11 + 26. Let m(j) = -3 + 2781*j - 924*j - 926*j - 927*j. Determine m(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20198060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2727306?\nAnswer: 2, 3, 151517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3)*(-3 - 0). Let c be -1 - (-1)\/j - -23. What is the greatest common divisor of c and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -125*j - 879. What is o(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 551617675 to the power of 1\/2, to the nearest integer?\nAnswer: 23487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + -b?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**3\/6 - x. Let a(q) = 4*q**2 - 5*q + 10. Let c(b) = -b**2 + b - 2. Let j(u) = 3*a(u) + 15*c(u). Give f(j(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 224014568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, -3, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 84ac?\nAnswer: -84ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 e, and 1 z when four letters picked without replacement from tttttteztteyttyttzt?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31627 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -335*h + 2706. Give w(9).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -83*n**4\/6 - 97*n**2 - 238*n. Find the first derivative of z(p) wrt p.\nAnswer: -332*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05862 + -441.04138. Let l = h + 441. What is the closest to l in -17, 4, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -810915 (base 11) in base 4?\nAnswer: -10332121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 6 = -2*s. Let a = -587 + 591. Suppose 2*g = 2*p + 10, 0 = -3*g + a*p + 4 + 13. What is the greatest common factor of g and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221023002100 - -2?\nAnswer: 221023002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 93*u**3 + 6*u**4 - 172521*u - 4*u**4 + 172524*u to the form y*u + j + s*u**4 + f*u**3 + p*u**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 + 2203303?\nAnswer: 2210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*s - 32, 83 = 3*x - 5*s + 4*s. Suppose 0 = -3*z - 9, -2*z = -0*v - 2*v + 32. Calculate the greatest common divisor of v and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*l + 12 = 0, 2*g + l - 6*l = -15. Suppose 5*r - 27 - 663 = g. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7766333 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1917845*s**4 - 346550*s - 6.\nAnswer: -23014140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -0.0553.\nAnswer: -5.9447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 614847629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -50. Let l be ((-2674)\/12)\/(6716\/(z + -1)). Let m = l - -1\/438. Do m and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29584118947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 24*b**2 - 170*b - 672.\nAnswer: 2*(b - 7)*(b + 3)*(b + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59870 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16262394 rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 6 = o - 2*y, y - 3 = 3*o. Which is smaller: -23 or o?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 >= 287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 7182*o**2 - 28740*o + 28744.\nAnswer: (o - 2)**2*(o + 7186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 12*r - 1. Let d be n(1). Suppose 3*x + 5*w + 6 = 0, 8 + 1 = -2*x - 5*w. Let u = d + x. Calculate the remainder when 27 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:42 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (27\/6)\/(2\/(-4)). Let u = b + 15. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -21*q**2. Let h be (-45162)\/(-273)*28\/6. Let w(x) = h*x - 375*x - 387*x. Give w(j(o)).\nAnswer: -210*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/14 - (3 + -4 + 0\/(-1)). What is the biggest value in b, -5, 3.02?\nAnswer: 3.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 382 - 378. Solve 20 = -v*r - 2*z, -154*r + 151*r + 4*z - 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 - 2*c + 6. Let u be g(-3). What is the greatest common divisor of u and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeaa when four letters picked without replacement from aekkekeakaaaaaeea.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeq when three letters picked without replacement from {t: 5, a: 3, q: 1, e: 3}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3 - 10788*q**2 + 129888*q - 390096 = 0.\nAnswer: -2709, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 476799397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*1\/(-4)*-15\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 5*h**2 - h - 4. Calculate k(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -18. Let d(l) = l**2 + 2*l. Let s be d(b). Find the third derivative of 19*g**3 - 12*g**2 - 3*g**2 - 3*g**3 - s*g**3 wrt g.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48095 divided by 88\nAnswer: 48095\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**6\/60 - u**5\/30 + 6*u**2. Factor p(g).\nAnswer: 2*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/7 or -613\/590?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 300344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 6*d**2 - 4*d + 9. Give z(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 28 = -5*u, 45*u - 10 = 43*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336217 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*b**4*s**3 - 145*b**3*s**3 - 50905*b + 11*s**3 wrt b.\nAnswer: 2352*b**2*s**3 - 870*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -1, 5, 75, -132 in decreasing order.\nAnswer: 75, 7, 5, 4, -1, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 48*f = -50*f + 1, 3*f = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 173, 406, 791, 1328, 2017?\n\"Answer: 76*f**2 + 5*f + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r = -39*r + 117. Suppose -r = -n + 3*u, 4*n - 2*n - 5*u - 82 = 0. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 - (2 - -1 - 4). Let n = 28 - i. Let v be n\/68 + (-1)\/4. Which is the second smallest value? (a) v (b) 3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -60, -99, -162, -255, -384, -555, -774?\n\"Answer: -u**3 - 3*u**2 - 5*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t = 4*b - 16, 4*t = b - 13. Calculate the common denominator of (t\/(-8))\/(42\/(-184)) and 49\/34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193 - 128. Suppose i = c - 5. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q + 91*q + 343 - 2011 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 30. Let q(w) = -w**2 - 8*w - 30. Let j(n) = 2*n**2 + 16*n + 74. Let x(v) = 2*j(v) + 5*q(v). Determine x(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 12, s: 1, h: 3}?\nAnswer: 99\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 31315 = 12130. Let p = x - -70283\/11. Let q = 2383\/374 + p. What is the common denominator of 91\/2 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -536.5 - -353. Let s = -47 + g. What is s rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -25\/4 (b) 2\/7 (c) -0.2 (d) -8 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-5 - -5 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*442\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*g**2 + 9*g + 4*g**2 - g**3 - 11*g**2 = 0 for g.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiuiwiiuiiuiu. Give prob of picking 1 u and 2 i.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12272 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 18*t + 5282. Let f = 605 - t. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.3622 to zero dps.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798417511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/11))**31)**28*((d**(2\/7)*d)\/d)**(2\/75)*d**8\/(d\/(d*((d\/(((d\/((d**(-8\/7)\/d)\/d))\/d)\/d)*d)\/d)\/d*d*d)) assuming d is positive.\nAnswer: d**(4146719\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.103396 rounded to 3 dps?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.6 + -54.4. Let z = -74.96 + 7.16. Let t = z - i. Which is the smallest value? (a) 0 (b) t (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from xhxxxxhhxxhxxxhx?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/10)*f*f)\/f*f)**(-2\/37)\/(f*(f*f*(f*(f\/(f**(1\/2)*f))\/f)\/f*f)\/f)**(3\/35) assuming f is positive.\nAnswer: f**(-131\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -243, -274, -291, -294, -283, -258?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/2 - (-23 - -22). Let t(q) = 36*q - 322. Does 26 divide t(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5447*l**5 + 100*l**4 + 33*l**2 + 298610898*l.\nAnswer: -108940*l**3 + 1200*l**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 101627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(2268) + -1 - sqrt(2268)) + sqrt(2268))**2 + sqrt(63).\nAnswer: -33*sqrt(7) + 2265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let w = -40 + 38. Let v be w\/((-60)\/14 + 4). What is the greatest common divisor of v and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + b**2 - b - 1. Let w(m) be the first derivative of -3*m**4\/2 + 10*m**3\/3 - 5*m**2 - 10*m + 1025. Calculate -40*u(a) + 4*w(a).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200332 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: Calculate -1485.48 - 5.\nAnswer: -1490.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 39. Let h be i + (30\/(-3) - -2). Let y be 2*(-2)\/(-2)*(5 - h). What is the greatest common factor of 64 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/140*(-10)\/4. Factor 0 + c*u**2 + u.\nAnswer: u*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -513, 0, 8, -7 in descending order.\nAnswer: 8, 0, -7, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q - 38. Let y be j(15). Find the third derivative of -22*h**3 - 43*h**4 - 87*h**2 - y*h**4 + 96*h**4 wrt h.\nAnswer: 24*h - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17454329 is divided by 167830.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 9. Let p = 23 - 10. Let h be q(p). Let r(f) be the second derivative of -f**4\/6 - 5*f**3\/6 + 2*f**2 + 2*f. Calculate r(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41248581 divided by 3749871.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*k + 2*k. Solve k = -g + 2*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53, -98, -139, -176?\n\"Answer: 2*h**2 - 51*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, 2\/11, 48874?\nAnswer: 48874","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(1873 + 1252 + 197 - 900)*(2*p - 4*p + 0*p) in the form m + u*p and give u.\nAnswer: 9688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 120 - 263 + 0*s - 2*s + 122 in the form i*s + v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/22 - 30016\/(-77)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-4) - (-53)\/(-4). What is the least common multiple of (2 - 15\/6)*c and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29984, -118834, -266918, -474236, -740788?\n\"Answer: -29617*o**2 + o - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 393 and 1387424406?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from {z: 13, v: 6}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 822*l - 484961. Determine y(590).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 at most -154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 201031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = 2, 4*q - 2*y = -96. Let w be 546\/104 - 2*(-2)\/(-16). What is the units digit of 464\/10 + 2*w\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**3 + 115 - 2*i**2 - 239 + 124.\nAnswer: 8*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/42 and 19\/9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1509, -3117, -5827, -9663, -14649, -20809, -28167, -36747?\n\"Answer: -4*w**3 - 527*w**2 + w - 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -17*u + 16*u. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -1210?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2781 and 10090.\nAnswer: -28060290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 13400165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + -39.9. Let r = 42 + g. Sort 22, r, 1\/9 in increasing order.\nAnswer: 1\/9, r, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 12. Suppose -o + f*x = -19 + 6, 0 = 2*o - x - 21. Suppose -l + o = l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20057692451 and -0.017.\nAnswer: 20057692450.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Suppose 10 = t*i + 1. Determine g, given that -1\/3*g + 0 + 1\/3*g**i + 1\/3*g**2 - 1\/3*g**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(((sqrt(126)\/(sqrt(7) + sqrt(7) + sqrt(112)) - sqrt(18))\/sqrt(6) - (((sqrt(24)*1)\/sqrt(8))**2 + sqrt(36)\/(sqrt(48)\/sqrt(4)))) + -3).\nAnswer: -14 - 11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 23606*f**3 - 4*f**2 + 4*f - 1. Is b(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 28*l**2 + 2*l - l.\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 8*q - 300. Calculate the highest common divisor of q and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o + 66. Let a(i) = -20*i + 196. Determine -6*a(r) + 17*d(r).\nAnswer: r - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383891427.\nAnswer: 3, 14218201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -9, -0.1, -1\/3, -105\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -15*w + 12*w - 55, 4*w - 16 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/2 + 699*q\/2 + 1760 = 0. Calculate q.\nAnswer: -5, 704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -580*j**2. Let k(t) = t. Calculate k(v(g)).\nAnswer: -580*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m + 15. Let v(t) = -5*t + 14. Let u(o) = 6*p(o) - 7*v(o). Let i be u(-8). Solve -2*j - 4 = i, -2 = -2*f - 3*j - 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -7*d**3\/9 + d**2\/3 + 11. Factor k(z).\nAnswer: -z*(7*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/40 - l**4\/2 - 85*l. Let m(n) be the third derivative of t(n). Let v(o) = o + 5. Calculate 5*m(c) + 3*v(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (208 + 50 + 608 + 485 - 81)*(5 + s**2 - 5) to the form z*s**2 + j + i*s and give z.\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6. Let w(x) = -x - 11. Give -7*m(v) - 3*w(v).\nAnswer: 3*v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.17, -30.5238 in increasing order.\nAnswer: -30.5238, 0.17, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699982 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9385 (base 15) in base 6?\nAnswer: 400155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10357*y + 3449*y + 3457*y + 3449*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 7*a - 13. Determine t(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617672370 a multiple of 1592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 177393 + 177396 + 2303*f**2)*(-1 + 1 + f).\nAnswer: 2303*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10437*v**5 - 2*v**4 + v**3 + 75*v**2 + 129.\nAnswer: -626220*v**2 - 48*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49005 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 2, -6 in decreasing order.\nAnswer: 2, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7*(4\/(-1))\/(-4). Let m be 1\/r + 2672\/112. Calculate the highest common divisor of 40 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202025 plus -37252.22?\nAnswer: -239277.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 661075 = -5*f - 4*v, 4*v = 20. Suppose 6*x = -49173 + f. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 7 (c) 0 (d) 732484\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from facjjcc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 15*l + 10*l - 43*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15738 by 141.\nAnswer: -5246\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 2*k + 2. Let u be a(-2). Let w(q) be the first derivative of 3*q**3 + 3*q**2\/2 + q + 1. Is w(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.3 - 13.2. Let i = -15 + w. Which is the closest to -0.1? (a) i (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23618 and 112.\nAnswer: 188944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/17 - -41\/34. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 2:28 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37468*p = 37464*p - 3*c - 40, -7*c = 28 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9894)\/(-776))\/(6\/(-16))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8163271*f**6 + 4*f**2 + 45737584 wrt f?\nAnswer: -979592520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/4 - 96*w**2 + 2211*w\/4 - 915\/2 = 0. What is w?\nAnswer: 1, 5, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 - 148. Suppose 2*y + 26 = u*c, 21 = 3*c + 2*y - 4*y. Solve -4 = n + p, 0 = -c*n + p - 10 - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2, -3*m - 221*h + 216*h = -67 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 5*h + 1 = 0, 8*i - 7*i + i + 3068*h = 3073*h - 29 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -21a11?\nAnswer: -21a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6974909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-84)*-4)\/(21\/(-18)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*t - 4*t = -50, -4*t + 16 = h. What is the smallest common multiple of h and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14346747 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 44.7, -0.2, -3 in descending order.\nAnswer: 44.7, -0.2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 860 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f + 0*f)*(f**3 + 8*f**3 - 38*f**3) + (2*f**2 - 2 + 2)*(f**2 + 3 - 3) + f**4 + 2 - 2.\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 12 + 3 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrtktrtypl. What is prob of sequence yl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -191621411\/2 greater than -95810706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 16 + 34. Let z be -2 + ((-36)\/v)\/(24\/300). Let f = z + -14. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -30, -30, -14, 24?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95489\/160 - 5961\/10. What is the common denominator of r and -65\/36?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.036 + 1.456. Let h = o + 0.08. Round h to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 228 = -5*a - 4*s, -2*a + 4*s = -96. Let j be 5 + -2 - (1 - a). Suppose 12*w = 14*w - j. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2 (b) 9\/10 (c) 0.2 (d) -63\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4947*r**2*z**3 + 37*r**2 - r*z**3 - 758*r*z**2 wrt z?\nAnswer: 29682*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -424 - -440. Calculate the highest common divisor of 944 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06960736377 rounded to 5 decimal places?\nAnswer: -0.06961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 246261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**19\/((u*u\/((u*u*u**0)\/u)*u)\/u)**(-39)*u**(-4\/3)\/u*u*u**(1\/11)*(u**(2\/5))**(10\/11) assuming u is positive.\nAnswer: u**(631\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 1, h: 2, m: 3, g: 2, z: 3}. Give prob of sequence qlg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + w = -20, 253*j - 257*j - 3*w = -31. Solve -q + 2*a = 4 + j, -a = -2*q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2. Let x(w) = 76*w + 538. What is x(s(h))?\nAnswer: 152*h**2 + 538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 8:13 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/30)\/((-1)\/(-5)) + 3. Solve y*p = 15*p + 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/834 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -233343 (base 5) to base 11\nAnswer: -6507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 - 13 = -4*o, -3*o = -2*v - 8. Let k(w) be the second derivative of w**5\/20 - w**4\/4 - w**3\/6 - 5*w**2\/2 - w - 1048. Give k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a70 - -8?\nAnswer: -a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4807 (base 14) to base 3\nAnswer: 122012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.138684 + -0.15145. What is h rounded to four decimal places?\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/7 + 209\/7. Let s be ((-68)\/12)\/((-2)\/(-6)). Let t = k + s. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26610008 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c + 27. Let n(i) be the third derivative of i**4\/6 + 13*i**3\/6 - 1052*i**2 - 4*i. Calculate 6*a(w) - 13*n(w).\nAnswer: 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(735\/(-14)))\/((-2)\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 84*w + 21011. Determine h(-250).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -469, -941, -1413, -1885, -2357, -2829?\nAnswer: -3301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 798 and 18?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/180 - 79*f**4\/8 + 713*f**3\/9 + 3892*f**2. What is i in l(i) = 0?\nAnswer: -713, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162)\/sqrt(3))\/sqrt(9))\/(sqrt(8)*3))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -31. Let m = 169\/105 + 2\/35. What is the closest to n in 0.2, m, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*n**3*r**2 - 7*n**3 - n**2*r**4 + 23 wrt r?\nAnswer: 10*n**3*r - 4*n**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -130. What is the highest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*g - 3*b, -2*g + 4 = -b. Solve -2 = 5*r + 5*x + 3, -5*r + g*x = 41 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = -4*a + 11, -u + 13 = 5*a. Suppose -3*s = -6, a*s = -b + 3*b - 16. Calculate the least common multiple of 2 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 - 2*n - 2. Let y(p) = p + 1. Let m be y(-3). What is the units digit of c(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*p + 74 + 6, 2*w = -3*p + 18. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4225190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19614 plus -1274.2?\nAnswer: 18339.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/12*12294\/(-683).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78.1 - 78. Let o = 2 + -1.95. Let s = -2.05 + o. Which is the nearest to w? (a) s (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000 + -1200212?\nAnswer: -1120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276 by -20.\nAnswer: 69\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 + 2 - 2 + (-1 + 0 - 2)*(8*j - 8*j - 8*j**2) to the form n*j**2 + a + t*j and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 1.2. Let q = 42.1 + -42. Let h = -4376 - -4375.8. Which is the closest to f? (a) q (b) h (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(375)\/sqrt(5)*6 + 3.\nAnswer: 3 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 1. Suppose -4*n = n. Let u(b) = 1 - 4 + 0*b - b. Let x be u(n). Give a(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 50 (b) -4 (c) 8 (d) -1 (e) -6 (f) -0.3 (g) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/12 - 5*i**3\/6 - i**2\/2 - i. Let l(c) be the second derivative of c**3\/6 + c**2\/2 + 8*c. Let g be l(4). Calculate n(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Suppose 5*n + 2*m - 2 = 2, 2*m + 12 = 3*n. Suppose 0 = -n*s - s + 6. Solve -2*q = y*q + s*i + 10, 0 = 5*q - 5*i + 45 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26\/17 - 1\/34. Let c be 1 + 2 - (-21)\/(-6). What is the nearest to c in -1\/4, 1, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45.23*1.3.\nAnswer: -58.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11739 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 143*p + 3376. What is q(30)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 63640 - 63640.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 equal to -10382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 94, -5, -1587 in descending order.\nAnswer: 94, 1, -5, -1587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/42 + 4\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48010 - -48015. Let f(v) = -v**3 - v**2 - v + 14. Let b be f(0). Solve t*i - k = -0*i - b, 5*i + 18 = -3*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-60777114.\nAnswer: 243108456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 31. Let d = -1428 + 7137\/5. Put u, d, -1 in descending order.\nAnswer: u, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 - 0.4. Sort 1\/7, 5, -0.1, w.\nAnswer: -0.1, 1\/7, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66384 + 99428. Is t a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -77, -113?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 281*d + 1694. Let a be m(-6). Solve a*g + 92 = 44 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*a + 38*d - 43*d - 2 + 5, d = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 + 2 = 0. Let l = 39 + -25. Suppose -m*d - 2 = -l. Solve -7*t + d*t + 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -30*t - 222. What is b(-9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from hvvvwiwwhhuhhwh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/45)\/(25085\/1475 - 17) - 8.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -3 (b) -1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.5 + -6.5. Is -8 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 250*h - 44. Suppose t + 30 = 11*t. What is the tens digit of b(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 589667717.8 to the nearest 10000.\nAnswer: 589670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 3074*y**2 + 61080*y + 6. What is k(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 230262975 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -140.3 in 2\/5, 1\/7, -1\/2, -3, 0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -32. Let v be 12*(-3 + j\/(-9)). Let i(s) = -2*s - 3 - 1 + v. Let c(o) = 2*o**2. What is i(c(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1612 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0, -26947?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -3) + (8 - 21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 - 70. Let c = 10 - v. Is -5 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4507 - (26\/2 + -3).\nAnswer: 3, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9385.439 milligrams in micrograms?\nAnswer: 9385439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -0.2, -0.3, 3, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 379715 or 127?\nAnswer: 379715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnwwwrnnnrnrn. Give prob of picking 2 n.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 27, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -19222\/1859 at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**10\/240 + j**6\/120 - 4*j**3 - 20. Let z(p) be the third derivative of n(p). What is the third derivative of z(h) wrt h?\nAnswer: -2520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 8*f**2 + 4*f - 28. Let v = 2 + 6. Let y be g(v). Solve 0 = p + y*c - 3, 6*p + 2*c = p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l*q**3 - 74*l + 42*q**2 - 2*q wrt q?\nAnswer: 12*l*q + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56246*m**2 + 195474*m?\nAnswer: -112492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30333101 (base 4) in base 14?\nAnswer: 15561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/33*-3*35\/(-7). Which is the fourth biggest value? (a) 0.4 (b) j (c) -1\/3 (d) -2\/69 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -33*f**2\/2 + 38*f + 77. What is the derivative of p(s) wrt s?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/38)\/(-3)*-2.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 610121 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 11:16 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24086352 and 2.69.\nAnswer: 24086354.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*j - j = 61, 4*g - 2*j = -96. Let a = -4 - g. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-1000)\/240).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 517 + -517.1. Which is the third biggest value? (a) 1 (b) k (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/12)\/(3\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177.7 - 97.3. Let j = b + -78. Put -3, j, -5, 1\/4 in increasing order.\nAnswer: -5, -3, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*a**2*m**2 + 2*a**2*m + a**2*n**3 + 13*m**3*n**4 - m**3*n**2 + m**3*n + 3*m**3 + 3*m**2 - 4314*n**4 wrt n.\nAnswer: 6*a**2 + 312*m**3*n - 103536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4092 - 4575 = 321*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 38*y + 640. Determine o(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-4) + 2\/8. Suppose 2*h - 38 = -5*w, -31*h - w + 18 = -28*h. Solve -2*u + h = -3*u - 3*r, -u - 4*r = x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-27)*-3)\/((-10)\/(-30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (0 + sqrt(200))**2 + 4.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -22. Solve 27 = -2*s - 4*v + 9, 0 = -k*s + 4*v + 23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 6, o: 4, m: 3}. What is prob of sequence mo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 56*t - 61. Let d be m(-26). Suppose s = 45 - d. Solve s*b = -j + 4, 3*b + 4*j = 2*b + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 11*o**2 + 19*o - 96. What is the remainder when n(-14) is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029586 to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1864 - 11251\/6. What is the common denominator of 109\/14 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3715\/(-65) + 2\/13. Let z = t - -51. Which is smaller: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**2 + 108. Let b(x) = -102*x. Determine u(b(t)).\nAnswer: 204*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5395 - 5394.999996239. What is u rounded to 7 dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136) + -1*(sqrt(136) + 2*sqrt(136))))\/(sqrt(72)\/((3*sqrt(72))\/sqrt(8))) + -4.\nAnswer: -36*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/60, -711, 0, -1 in increasing order.\nAnswer: -711, -1, 0, 1\/60, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 531 times 0.116\nAnswer: 61.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*u + 0*u + 0*u)*(154*u**2 + 61*u - 70*u + 11*u).\nAnswer: -462*u**3 - 160*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1994 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/b**(-4))\/b)\/b)\/(b\/(b\/b**9)))**(-2\/101))**(1\/3) assuming b is positive.\nAnswer: b**(4\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/12 - t**3\/3 + t**2 + t - 60. Let s(n) = -n**2 - 3*n + 2. Give -4*c(q) + 5*s(q).\nAnswer: -q**2 - 7*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -430 - -435. Which is the nearest to -33? (a) -0.3 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, -2, 5, 1, -3\/2155.\nAnswer: -2, -3\/2155, 1, 8\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -0.1. Suppose c + 0*q - 2 = -2*q, -3*q = 0. Suppose 0*w + 3*s - 17 = -c*w, 0 = 2*s - 10. What is the closest to 0.1 in w, h, 4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 4. Let g be j(2). Suppose m - 5*v + 2 + 5 = 0, g*m - v - 13 = 0. Calculate the remainder when ((-18)\/8)\/(6\/(-80)) is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -2*x, -3*u - 2*x = -19. Suppose u*a - 240 = -93. Calculate the remainder when a is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 2*m + 1. Let f be y(-3). Let n = f + -10. What is the units digit of 17\/((-4)\/n*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2137797.\nAnswer: 3, 179, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 h when three letters picked without replacement from {q: 1, g: 2, v: 2, i: 2, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1517, 1518, 1519, 1520, 1521?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - 0) - (5 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*y)*(53*y + 7447*y + 1798*y) as p*y**2 + a*y + j and give p.\nAnswer: 18596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11777, -11776, -11775, -11774, -11773?\nAnswer: -11772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*p = -120*p + 92*p + 37. Let v(d) = d**3 + 3*d**2 + 4. Let i be v(-4). Put p, -5, -3, i in descending order.\nAnswer: p, -3, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3194490 divided by 6.\nAnswer: -532415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/31 (b) 199\/4 (c) 1\/3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vxvvvxvvvvv?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 + 94 = 5*w + 2*a, -4*w = -21*a - 6 + 40 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2445 + -2431. Solve 0 = -4*u + 11*u + q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 - 15980*k**2 - 190815*k + 716400 = 0. Calculate k.\nAnswer: -3184, -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4a5 (base 11) to base 7\nAnswer: -1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8264928 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.52281878 rounded to zero dps?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147522395?\nAnswer: 5, 89, 331511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -8. Let h be (-4)\/18*6\/8. What is the closest to h in -0.4, p, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*r + 185 + 183 - 371 to s + k*r and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, 4, 31, 0, -117, 1, 2.\nAnswer: -151, -117, 0, 1, 2, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x\/x**5)\/x)\/x)*x**(-3))**(-9)\/((x\/((x\/x**1)\/x))**(29\/4)*(x\/(x**1\/x*x))\/x*x*((x**6\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(-107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235 - 233. Solve -2*w + 11 = -j*c - w, 2*w - 27 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 285*x - 114. Let l(i) = 83*i - 33. Calculate 24*l(v) - 7*w(v).\nAnswer: -3*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(175)*-1 + -3.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, 5 in descending order.\nAnswer: 5, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3002414 (b) -2\/53 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306871*-215.\nAnswer: 65977265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -25 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o - 75. What is a(18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x\/(x\/(x**(-15)*x)*x))\/x*x*x**(-2\/29) assuming x is positive.\nAnswer: x**(-408\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 1) + -22 + 5 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*j - 2*d = -154*j - 10679, 0 = 4*j - 2*d - 8536. List the prime factors of j.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*sqrt(5) + 0 - (sqrt(5) - (sqrt(320) + -1))**2).\nAnswer: -68*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 118\/3. Let k = 14 + -13.92. Let x = 0.12 + k. Which is the closest to -1? (a) 4 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(((-2)\/(-4))\/(269\/(-807)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -965 + 963.9252. What is j rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -7*q**5\/4 + q**4\/4 - q**3\/3 + 19*q**2 - 2. Find the second derivative of h(j) wrt j.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -9*o**5\/20 + 5*o**2\/2 + 2*o. Differentiate h(u) wrt u.\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.2, -10\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -19*j**2 + 13*j. Let x(n) = 9*n**2 - 6*n. Let s(o) = -13*x(o) - 6*z(o). Let a(t) be the second derivative of 5*t**3\/6 - 3*t**2 + 5*t. Give a(s(u)).\nAnswer: -15*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -781\/6, -0.248 in descending order.\nAnswer: 0, -0.248, -781\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 6:16 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**3*u**3 - 8*d**3*u - 5*d**3 - 6*d**2*u**3 + 2*d**2*u - 48*u**3 wrt d.\nAnswer: -36*u**3 - 48*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 0*x**2 + 34 + 2*x - 2*x**2. What is the tens digit of i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02099725 rounded to 4 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -43*m**2 - 5. Let v(i) = i**2 - i - 4. Let a(h) = 46*h**2 - 2*h - 2. Let w(g) = -a(g) + 2*v(g). Determine 6*t(p) - 5*w(p).\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 - (-5 - -1)) + 5. Let f(p) = -12*p - 12. Let i be f(h). Solve i = -k + 3 - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3 + sqrt(1584) + 1*sqrt(1584))*-1)**2.\nAnswer: -144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 16*b**2 + 31*b + 39. Calculate v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = -5*c, 6*c + 2 = c - 2*f. Sort c, -4, -12 in descending order.\nAnswer: c, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = 3*u, 0 = f + 4*f - u - 12. Suppose 0*t = 4*v + f*t - 84, -3*t + 6 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**3\/3 + 23. Let y(n) = -17*n**2 - 3*n. Determine y(t(h)).\nAnswer: -17*h**4 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1, 20 in ascending order.\nAnswer: -2, -1, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26293, -105209, -236737, -420877, -657629, -946993, -1288969?\n\"Answer: -26306*d**2 + 2*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164964 and 517260.\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9071 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*u - 4*u - 32, -4*u + 5*o = 26. Let d be (-48)\/(-27) - 2\/u. Which is the closest to d? (a) -4 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42698.\nAnswer: 2, 37, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 1\/2*d**3 + 0 + 1\/4*d**4 - 1\/4*d**2 - 1\/2*d = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 9*b**3 + 15*b. Let r(t) = 2*t**2. Determine r(c(n)).\nAnswer: 5832*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000110010 (base 2) to base 16.\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(4\/174)*544\/(-48). What is the greatest common divisor of 34 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l - 6*l. Let x(c) = -c**2 - 13*c - 10. Let z be x(-12). What is h in -2\/11*h + 2\/11*h**z + l = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2870 or -2872?\nAnswer: -2872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 q when three letters picked without replacement from qmnmnndmqn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 12. Calculate i(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 2. Let a(p) = 21*p + 56. Let o(n) = -17*n - 45. Let y(g) = -4*a(g) - 5*o(g). Determine -4*m(i) + 5*y(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*42\/70\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -65?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 2*k**3 + 3*k**2\/2 - 2*k + 18. What are the prime factors of s(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*m**2 - 189*m**2 - 218*m**2)*(-1 + 3 + 0)*(6 - 2 - 2) to z + q*m + p*m**2 and give p.\nAnswer: -1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -1\/3*r**6 + r**2 + 0*r**5 - 6 + 0*r**3 + 0*r**4 + 0*r. Find the second derivative of u(c) wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 3*y - 3. Let q(v) = -5*v**2 + 0*v**2 - 13*v - 3 + 1 - 11. What is 18*m(i) - 4*q(i)?\nAnswer: 2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*c + 16940 = -182*c + 116*c. Calculate the highest common divisor of c and 1078.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -787827, -787840, -787869, -787920, -787999, -788112?\n\"Answer: -y**3 - 2*y**2 - 787824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 31) + 43 - (-9 - -1 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1454 - -1455. What is the highest common divisor of 5 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*q - 40*q - 73*q)*(0 - 3 - 2).\nAnswer: 545*q - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y - 12. Let o(j) = -221*j**2 + 451*j**2 - 216*j**2. What is o(i(q))?\nAnswer: 1134*q**2 + 3024*q + 2016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 44 - (348 - 333).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + r**3 - r**3 + (-r - r + 0*r)*(-4*r**2 - 3*r + 3*r).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 484*g**3 - 192*g**2 + 191*g**2 - 153 + 415 wrt g.\nAnswer: 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 33 + 42 - (-52 + -7).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 - 137.00000313. Round s to 7 dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 15, l: 5}. Give prob of sequence pp.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 4*f**2 + 3*f + 30. Let b(y) = -y**2 - 19*y - 38. Let k be b(-17). Let j be p(k). Solve 5*g + 10 = 4*l, g - 2*l = 2*l - j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -381*a**5 + 327*a**5 + 1028*a**5 + (1 + a**3 - 1)*(-2*a**2 + a - a) - 2*a**5 - 2*a**5 + a**5.\nAnswer: 969*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = -5*r - 3595, -2*r = 2*v - 1784. Suppose 4*m - 7 = 1. Suppose m*d = -3*d + v. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aow when three letters picked without replacement from {o: 4, a: 2, z: 4, w: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-18))\/(4\/(-18)). Find the third derivative of 3*i**3 - 7*i**g + 4*i**3 - 2*i**2 - 2*i**5 wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*a = 277*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.5. Let p = 0.2 - f. Let u = -0.4 + p. Which is the second biggest value? (a) 1\/3 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17578562 to the power of 1\/2, to the nearest integer?\nAnswer: 4193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 19*o**2 + 6*o + 12. Let v be g(-18). Suppose 5*w + w = v. What is the remainder when w is divided by 1 - ((-57)\/1)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/22)\/(-8)*((-360)\/(-10))\/9?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from yyhdhpphuhhddcd.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 4:13 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 47236166 + 195.43\nAnswer: 47236361.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -438275.60134 + 438272. Let u = 0.38 - 3.98. Let p = s - u. What is p rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**11))\/((i*i*i**44)\/i))\/(i**31*i*i**(5\/2)\/i) assuming i is positive.\nAnswer: i**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 9*z**2 - 14*z**2 - 3*z**2.\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/98708 and -17\/271447.\nAnswer: 1085788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 685 or 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 6*j + 5. Let z(p) = -2*p**2 - 7*p + 6. What is -4*s(m) + 3*z(m)?\nAnswer: 2*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/2)*(t\/((t*t*t**1*t)\/t))\/t*t*(t**(1\/2)*t)**(-9))**(4\/13) assuming t is positive.\nAnswer: t**(-56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(567)*4)**2 - (-3*sqrt(567)*2)**2) + 5*-4*(3*sqrt(567) + -2)**2.\nAnswer: -113464 + 2448*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2*m**3*y + 3*h**2*m**2*y - 2*h**2*m*y + 39*h**2*m + 147*h*m**3*y + 1986*m**3 - 422*m**2*y - 4*m*y wrt m?\nAnswer: -6*h**2*y + 882*h*y + 11916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:22 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j - 4. Let z = -12 + 6. Let i(n) = -n**3 - 7*n**2 - 5*n - 1. Let q be i(z). Let l(h) = 5*h + 7. What is q*c(p) - 4*l(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1917 * 12.5\nAnswer: 23962.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 2*w - 4*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*a + 226 + 222. Which is greater: -0.03 or a?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*sqrt(7) + -4) + (4*-4*sqrt(700))**2.\nAnswer: -24*sqrt(7) + 179176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (26444\/66)\/((-4)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 6*y + 7*y + 1 + (-1 + 2 - 2)*(4 - 4 - 5*y).\nAnswer: 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -228, -9, 8 in increasing order.\nAnswer: -228, -9, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 148 = -2*a, 77 + 83 = 2*a - c. Suppose 5*l + 4*u - 37 = 0, l + 80 - a = 2*u. Which is smaller: 19\/4 or l?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 = z + 3*u - 5*u, z + 3*u = -362. Let j = -372 - z. Solve y = j*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-192)\/20 + 7. Is -534\/13 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -47. Let d = s - 9. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101466*b**3 + 214802*b**2?\nAnswer: -608796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 3*d**2 - 8*d + 21. Let u be l(4). Let i be (0\/(-1))\/(2 + -3). Suppose -657 = -z + 5*s, -u*z + 2*s + 2248 + 991 = i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743482 (base 10) in base 8?\nAnswer: 6515172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169 + 222. Suppose m*n - 732 = 47*n. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1 + 3 = 0. Let m(d) be the third derivative of d**5\/60 + d**4\/12 - d**3\/2 - d**2. What is the remainder when 9 is divided by m(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56089 or 7?\nAnswer: -56089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12373 - 12008. Calculate the remainder when h is divided by 109.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 6. Let v(r) = 2*r + 5. Let j(c) = 2*l(c) + 3*v(c). Calculate j(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02865582 rounded to five dps?\nAnswer: -0.02866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67619377 to the power of 1\/2, to the nearest integer?\nAnswer: 8223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4574 - 1764 - 2273 - 15*h)*(-h - 3*h - 4*h).\nAnswer: 120*h**2 - 4296*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*m - 106 = 0, -3*w + m + 188 = 2*w. Which is greater: w or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbnbppbnpp. Give prob of picking 3 b.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -482*z - 2904. What is the remainder when h(-7) is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003302808 rounded to 6 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -404 by 7700.\nAnswer: -101\/1925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Let k = -12 - -11.7. Let q = k - 0.1. Which is the biggest value? (a) n (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*y + 0*y + 0*y + 3*y + (y - 2*y - y)*(-6 + 7 + 0) + 0 - 2 + y + 0.\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 242\/3 less than or equal to 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 9. Let r(j) = -2*j - 7. Let n be r(t). Suppose 2*i - n = 1. Calculate the remainder when 12 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (3 - (10 - -11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*k - 802, -3*i - k + 537 = -i. Suppose 3*z + z = i. Suppose -4*a - z = -215. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7140.068 to the nearest ten.\nAnswer: -7140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r = 94 - 48 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10709.\nAnswer: 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 2*a + 3*a + (-5*a - 6*a - 8*a)*(-17 + 2 - 26) - 3*a - 2*a + 4*a + 2*a + 0 + 0 + 4*a - 5*a - a to the form c*a + j and give c.\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*g = 7, 2*g - 3*g = -2*l + 3. Suppose 2*i - 2*y - 280 = -3*i, 0 = l*i - 3*y - 101. Calculate the remainder when i is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k + 7. Let z(c) = 6 - 501*c + 215*c + 291*c. Calculate -4*l(h) + 5*z(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-10 + (-72)\/(-8)). Solve -2*c = 4*q, -11 = -4*c + m*q - 0*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 4*s**2 + 24*s + 13. Let a be x(-7). Let c = a - 202. Suppose 2*d = 4*k + c, 0*k + 3*k = -15. What is the remainder when d is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86*d*v**3 + 7*d*v - 34*d - 47*v**4 + v - 1 wrt v.\nAnswer: -516*d*v - 564*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -504838*b + 4038709. What is v(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let t(c) = -c - 909. Calculate t(m(x)).\nAnswer: x - 909","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5\/2 + 125*w**4\/2 - 723*w**3\/2 + 1075*w**2\/2 - 238*w = 0.\nAnswer: 0, 1, 4, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 5, -32, 18 in descending order.\nAnswer: 45, 18, 5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 14. Suppose 0 - 2 = 2*t. Is t smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51570 divided by -191.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 - -2 - 4\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -140092, -280198, -420304, -560410, -700516?\n\"Answer: -140106*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -5. Let f = -11 + 15. What is the remainder when i is divided by ((-2)\/f)\/(4\/(-24))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -dc8c8 (base 14) in base 7?\nAnswer: -4353041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 60*g**2 - 42*g + 44. Let i be k(1). Is i greater than or equal to 755\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 n when four letters picked without replacement from syycsjcsssnncsnngsc?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -655, -0.1, -0.3, 2\/19, -5\/3, -2\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1150 plus -277035569984?\nAnswer: -277035571134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -355000402 from 721.33.\nAnswer: 355001123.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 930\/803 (b) 141 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 11:58 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -23*w + 7272. What is the first derivative of 2*z**3 + w - z**3 + 5*z**4 - 362 wrt z?\nAnswer: 20*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 9*s**3 + 3*s**2 + 10*s.\nAnswer: -s*(s - 1)*(s + 2)*(4*s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 10 (b) 5 (c) -3 (d) -2\/3 (e) 4\/9 (f) 0.1 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-106 - -216)\/(2\/25) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 169, 83, 0.\nAnswer: -6, 0, 83, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(-1\/13)))\/s)**40\/(s\/(s**(-2\/23)\/s)*s*s*s**(-1\/2)*s*s) assuming s is positive.\nAnswer: s**(-49341\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 1, 0, 1979 in decreasing order.\nAnswer: 1979, 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2475 is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3986629916\/20162901 + 5349\/35941. Let o = u - 3388\/17. Let j(x) = -38*x**3 - 2*x**2 + 3*x + 4. Find the common denominator of j(-1) and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108442661?\nAnswer: 108442661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944 - 8*k**2 + 944.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 68956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.051664mg?\nAnswer: 0.000000051664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 942120625?\nAnswer: 942120625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119\/824 + -2\/103. Let r = 454 - 449.09. Let c = -0.09 - r. Put c, d, -0.5 in descending order.\nAnswer: d, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -25 + 28 + -2*1. Find the second derivative of -1461*w**4 - 2 + 1483*w**4 - s + 17*w wrt w.\nAnswer: 264*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*j - 8 = -2*x, -6 = -3*j. Suppose x = -2*u - 0 + 6. Suppose 5*o - 15 = -5*w, -o - 3*w - 2*w = -u. Solve p - 9 = -o*v - 4*p, p - 1 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 5*c**2 + 5*c. Calculate u(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 16\/113?\nAnswer: 16\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -23. Calculate the smallest common multiple of i and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2*v + 1. Let t(s) = -6*s**3 - 4*s**2 - 4*s - 5. Calculate -t(n) + 2*u(n).\nAnswer: 6*n**3 + 2*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/9)\/((-31146)\/(-4833)). What is the smallest value in 3, 6, f, 2\/23?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14644964?\nAnswer: 2, 239, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1 - (-146 + 175).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*j**2 - 3 + 985*j - 2872*j + 1 + 948*j + 1061*j wrt j.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a**2 + 41242*a - 247373. What is t(6)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:03 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12630)\/(-842))\/(2*(-3)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -8. Let s be 3\/n*(-7 + 4). Sort -4, -1, s.\nAnswer: -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244333, -488649, -732963, -977275, -1221585?\nAnswer: -1465893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9258 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -125232 rounded to the nearest one thousand?\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 times -0.3?\nAnswer: -229.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b*b**(-2\/13)*b))\/b*b))\/(b\/(b\/b**(-2))))\/((b**(2\/3)*b)\/b)**(-1\/2) assuming b is positive.\nAnswer: b**(163\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -16*u**5 - 14*u**4 + 46*u**3 + 14*u**2 - 30*u = 0.\nAnswer: -15\/8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3592 - 10777\/3. Let b(k) = k + 11. Let y be b(-6). What is the closest to c in -1, y, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*t - 0*t - 2*j, 10 = 2*t + 5*j. Let a = -12 + t. Suppose -a*m = -6*m + 1293. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 146*w - 35665. Give m(-172).\nAnswer: -1609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21582222 from -0.064722.\nAnswer: 21582221.935278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1546)\/(-3) + 2\/3. Let s = 1022 - k. Let t = s - 349. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192 + 410. What are the prime factors of x?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -77*x**3 - 3*x**2 - 3*x + 1. Give i(-1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 49*x + 116. What is v(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 3:30 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 3 - ((-166)\/(-3))\/(292\/(-438)). Do u and -64 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (5 - (14 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 146*z - 901. What is t(6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0276 less than -20844.78?\nAnswer: -20844.7524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43\/((-18)\/567*-63*(-2)\/(-4))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3279.000008683 + 3279. What is l rounded to seven decimal places?\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 6. Let b = 15 - 21. Let g(j) be the third derivative of j**4\/12 - 5*j**3\/6 + 45*j**2. Calculate b*g(v) + 5*o(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 116006 divided by -116006?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 30 + -8 + -12 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3389*l. Let i(x) be the third derivative of -x**5\/12 + 6*x**2 + 8*x - 2. Determine i(z(a)).\nAnswer: -57426605*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 868916335 to the power of 1\/2, to the nearest integer?\nAnswer: 29477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4 + 14. Suppose 0 = -2*x - 3*f + s, 0 = 3*f - 3 - 0. Let a be (4\/24*-4)\/((-3)\/90). Solve -3*t - u + a = 0, -x*u + 10 = -t - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1876 and 4280563.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 8*i**3\/19 + 23135218*i**2\/19 - 40486660*i\/19 - 11567616\/19 = 0.\nAnswer: -2891904, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**3 + 5*j**2 + 2*j - 4. Let y be o(-4). Let l = y + -5822\/15. Let w = 0.08 + -0.28. Which is the nearest to w? (a) l (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 8*s - 8*s)*(5 - 3 + 1)*(-s**2 + s - s).\nAnswer: 39*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1546971\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1304991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, r: 2, o: 2, h: 4, g: 2, k: 1}. What is prob of picking 2 r, 1 h, and 1 k?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 49647 (b) 34 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 5:17 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*i = -781*i + 5031 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 54*q**3 + q**2 + 4 + 2*q**4 + 55*q**3 to i*q**3 + a*q**4 + z*q + m + x*q**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135121008 by -3.\nAnswer: -45040336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbur when four letters picked without replacement from nrunnrbnubbnrbr.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/40)\/((-72)\/120). Is c at least as big as -110.94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476999457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-3)\/((-18)\/2)*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, 5, -0.2, 0.9 in decreasing order.\nAnswer: 5, 0.9, -0.2, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41480 is divided by 2294.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 17*r**5\/120 + r**4\/12 + r**3\/6 + 6*r**2. Let j(a) be the first derivative of u(a). Does 21 divide j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001077 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2170, 7132, 15398, 26968, 41842, 60020?\n\"Answer: 1652*o**2 + 6*o + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6605122?\nAnswer: 2, 19, 173819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39261*o**4 - 20486*o**2 + 3*o wrt o.\nAnswer: -942264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -399*f*m**2 + 17*f*m - 17*f*z**2 - f*z + 2*f + 2*m**2*z - m*z wrt z.\nAnswer: -34*f*z - f + 2*m**2 - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 2224?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946975547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -448, -1953, -4462, -7975?\n\"Answer: -502*s**2 + s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = a + 5, 13*a = -4*y - 226 + 92 + 123 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0*c**2 - 18*c - 6 + 4 - 5*c**2 + 4*c**2. Determine b(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + -2*(sqrt(125) + -4 + sqrt(125) + 1) + -1 + sqrt(125) + sqrt(125) + 1 + 4 + sqrt(125) + -2)**2.\nAnswer: 10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5096 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 8*y - 5*u + 32, 2*y = -4*u + 46. What is the second derivative of 59 + y*h - 59 + h**3 + 17*h**4 wrt h?\nAnswer: 204*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 f when four letters picked without replacement from {f: 1, h: 1, g: 1, n: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*s**2 + 32\/3*s - 38.\nAnswer: 2*(s - 3)*(s + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3234399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48864283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9 + 1 = 0. Let k(j) = 7*j**3 - 16. Let t(n) = 16*n**3 + n - 39. Let z(m) = 5*k(m) - 2*t(m). Let w(v) = -4*v**3 + 2*v + 2. Give a*w(o) + 6*z(o).\nAnswer: -2*o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*q - 4 = -69*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 22*l**2 + 26*l - 46. Let y be s(21). Do 59 and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.387659 nanograms to tonnes.\nAnswer: 0.000000000000000387659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -1\/3, 2.32, -7\/52, 35?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(68) + 2 - (2*sqrt(17) + 1 + (-2*sqrt(136) + sqrt(136))\/sqrt(8)))**2.\nAnswer: -18 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 8. Let p = 1 - j. Suppose -k + 2*z + z + 2 = 0, -k + 4 = -p*z. Sort 0.5, 1\/3, k.\nAnswer: k, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/33*11)\/((-186)\/(-12))\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**6\/60 - h**5\/12 + 45*h**2. Let j(u) be the second derivative of -u**5\/20 - u**4\/12 + 8*u. Calculate 3*j(m) - l(m).\nAnswer: -m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*b - 97*b + 268*b + 311 - 90*b as c + u*b and give c.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvgvvb. Give prob of sequence bv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9*-1*-12. Solve 0 = -9*v + n*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.419424945 rounded to 4 decimal places?\nAnswer: -2.4194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -68355, -68360, -68365?\n\"Answer: -5*d - 68350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -11. Solve c = -3*n - 2*y - y - 6, -n - 8 = -5*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5\/7 + 18*s**4\/7 - 33*s**3\/7 + 6*s**2\/7 + 36*s\/7 - 24\/7 = 0. What is s?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -393, 33 in decreasing order.\nAnswer: 33, 5, 4, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006619 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 680527\/167 - 4075. Let z = w + 161\/501. Let h = 0.19 + -0.08. Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3938*j - 62378 = 99080 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2870\nAnswer: 2\/1435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmhmhhecmhcmhmhhheh. What is prob of picking 2 c?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/2510257?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 26*n - 11 - 17 + 3*n**2 + 0. Let c = 2088 + -2100. What is the units digit of m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - 3*n**3)*(1 - 1 + n**2) + n**5 - 2*n**2 + 2*n**2 + n**5 - n + n.\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 + k**2 + 9*k - 10. Let s be f(1). Suppose w + 5*w = s*w. Is -2\/1703 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*x, 0*x + 22 = -5*a + 3*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-1) + (9 - 17 - 1) - -18323?\nAnswer: 7, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20478595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*j**3 + 18*g**3*j**2 - 349984456*g*j**4 + 6*g*j**2 - 16992*g + j**2 + 1 wrt j.\nAnswer: -6*g**3 - 8399626944*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -12*b**4 - 2906*b**3 - 231604*b**2 - 6064920*b - 1004400 = 0.\nAnswer: -90, -62, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i - 11. What is the common denominator of 2\/3 - 13\/i and 8 + (-1659)\/70 + 9?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -16*m + 532. Let x be p(31). Solve -31*u = -x*u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 15 - 13 + (-3 + 5 - 4)*(5 - 2 - 5) + 1 - 3 + 1 + 0 - 2 + 0 - 1 - 5 + 5)*(194 - 194 - 21*j) to x*j + c and give x.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199705 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 230 + 287)*(o**3 + 0*o**3 + o**3)*(7 - 3 - 1) as q + r*o**2 + h*o + i*o**3 and give i.\nAnswer: 3162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3949, 3955, 3961, 3967, 3973, 3979?\n\"Answer: 6*y + 3943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvpppnn. Give prob of sequence pnpv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**3 + 5*k**2 - 8*k - 6. Calculate c(3).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1785 or 1772?\nAnswer: 1772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/67 - -457\/201. Let v(r) = r**2 + 11*r + 27. Let i be v(-7). Let x be (-2)\/(-2) + i - 1 - 4. Which is the third smallest value? (a) 5\/3 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5755*k = 5771*k + 100, k = -t - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 10*c**2 - 17*c + 37. Determine o(9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4 - 19 + 5*w**2 - 28*w + 42*w. Let g be z(3). What is the greatest common factor of 96 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5902596 is divided by 377?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5 - b - 5*b + 5*b**2 + b**3 + 1 - 4. Give t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -792 + 1166. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9075 - 0.9075. Let c = -528.41 - -531. Is c at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4871 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2086.52119509 - -0.2368?\nAnswer: -2086.28439509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*l**2 + 80*l?\nAnswer: 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6879 divided by 112\nAnswer: -6879\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2 - 8. Let z = -30 - -33. Let u(b) = -2 + 0 + 1 + b + b**2 + 4*b**z - 3*b**3. Calculate u(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2834 * -0.5.\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2082346*n**3 - 4*n - 699 + 3*n - 2082345*n**3.\nAnswer: n**3 - n - 699","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, o: 3}. What is prob of sequence fff?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3035 is divided by 1489?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -334, -8, 2.\nAnswer: -334, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16653 and 819?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39720 - 39715. Suppose -2*i - 2*i = 0. Put i, x, -27 in descending order.\nAnswer: x, i, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*x - 2*x + 443370. What is x rounded to the nearest one hundred?\nAnswer: -14800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v - 2 + 1 - 43*v + 15*v.\nAnswer: -62*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45415 and 1395?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19162 is divided by 1063?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -415 + -4?\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/(-12) - 15\/(-20). Let x be (24 + -16)\/((-12)\/l). Factor -4\/3 + x*g**2 + 2\/3*g**3 - 2\/3*g.\nAnswer: 2*(g - 1)*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 10*h - 8. Calculate n(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135)\/sqrt(3))\/sqrt(3))\/sqrt(3))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*j + 26542 - 12210 = -679*j - 21506 for j.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0, 1317667 in ascending order.\nAnswer: 0, 3, 4, 1317667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-352*p**3 + 352*p**3 + 40*p**4)*(-1 + 1 + 2*p) + (2 - p**2 - 2)*(-p**2 + p**2 - p**3) + 4 - 4 + 2*p**5 + 5*p**5 - 4*p**5 - 2*p**5.\nAnswer: 82*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9693, -9691, -9693, -9699?\n\"Answer: -2*g**2 + 8*g - 9699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1677, -30544 in increasing order.\nAnswer: -30544, -1677, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 - (-57)\/9. Let l(t) = 1 + 11 - t**2 - n*t - 5. Determine l(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-3) - ((-7)\/2 - 63\/(-42)). Solve -m + 2 + 0 = q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/z**(-1))\/z))**34\/(z**(-1))**(-6\/7))\/(z*z**2*z*z*z**(2\/5))**4 assuming z is positive.\nAnswer: z**(-1976\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 93, -2, 3, -123?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 57. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 + -24.94. Let h = n - -19. Put -1\/2, 5, h in ascending order.\nAnswer: h, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*n**3 + 166*n**3 - 17*n**3 - 30*n**3.\nAnswer: 81*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b6 - -132e?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 0)\/((-6)\/4). Suppose 3*r + 3*h - 2443 = -w*h, -3*r = -4*h - 2479. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y**2 - 1. Give g(2).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 664\/3 + -220. Solve -2\/3*x**4 + 2\/3*x**2 + 4\/3*x**3 - g*x + 0 = 0 for x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-237)\/(-12))\/(1077\/(-360) - -3) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 8. Let c be z(5). Calculate the greatest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 269*b + 3003. Let d(z) = 66*z. What is d(v(j))?\nAnswer: 66*j**2 - 17754*j + 198198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10 - 3*g + 15 - 5. Let j(z) = -19*z**2. Determine j(v(t)).\nAnswer: -171*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2*(t**(10\/7)*t)\/t assuming t is positive.\nAnswer: t**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 22 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*d = -93, 4*d = 5*s + 17 - 134. What is the remainder when ((-12)\/(-6) - -1) + (-38)\/(-1) is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30989 + 9429 = -55*z. Suppose 415*x = 413*x + z. Calculate the highest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 802994886 to the power of 1\/2, to the nearest integer?\nAnswer: 28337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - -2.6. Let r = 1.97 - -8.03. Sort 4, x, r, -3 in increasing order.\nAnswer: -3, x, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -200*r**7\/7 - r**3 - 11*r**2\/2 + 169. What is the third derivative of f(g) wrt g?\nAnswer: -24000*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 1027*j - 7297. Determine q(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 8 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 121\/21, -1\/2, 0.2 in increasing order.\nAnswer: -1\/2, 0.2, 121\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28851 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 26*m**3 - 3*m**2 - 3*m - 1. Let y be i(-1). Let j = y + 62. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 smaller than 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31231233 - -1?\nAnswer: -31231232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*y + 260*y + 15*y.\nAnswer: 172*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -2988.8478465761\nAnswer: 2991.8478465761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3*v + 39 = 3*d, -2690*d = -2688*d + 5*v + 57 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from esssseseeesees?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-16) + 3*(-3)\/72.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 19*w + 9*w - 612*w**2.\nAnswer: -612*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/25 - 1262487\/5. Let s = p + 361105. Let g = s + -178608. What is g rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxfiiiirr. What is prob of sequence frxy?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 13*i - 39. What are the prime factors of v(10)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25675\/72 - 2936\/9. Let -51\/8*b**2 + 3\/8*b**3 + c + 189\/8*b = 0. What is b?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 79. Let o = -41 + 96. Let d be ((-484)\/o)\/((-34)\/10 - -3). What is the greatest common factor of d and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15361843 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 90*l - 39. What is y(1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448) + 5 + -3 + 3*sqrt(2448) - ((sqrt(2448) - (sqrt(2448)*-1 + sqrt(2448))*6) + -3*(sqrt(2448) + 0 + sqrt(2448))))**2.\nAnswer: 216*sqrt(17) + 198289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164.7941 litres to millilitres.\nAnswer: 164794.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 7*x**4 + x**3)*((-3 + 2 - 1 + (-1 + 3 + 0)*(-1 - 1 + 1))*(4 + 1 - 1) + (1 + 0 - 5)*(3 - 1 + 3)).\nAnswer: -252*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -179113.\nAnswer: 5\/179113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 - 165. What is the remainder when o is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123859140 is divided by 6881063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-348)\/20 + -1)*(4 + 21\/168*-12)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21956 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 384.\nAnswer: 383.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-4102)\/8 - 17\/34. Let v = c + -497. What is the common denominator of v and 59\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387556.\nAnswer: 2, 13, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 12*v - 11. Let i be w(13). Suppose -i*c - 57 = -3*b, b + 3*c + 5 = 24. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 5. Let r be i(10). What is the units digit of (-4)\/3*2*(-13 + r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e22 + c5b?\nAnswer: -11c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, a: 2, w: 1, v: 1, h: 1}. Give prob of picking 1 v, 1 w, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmmemmsgkmgkggm. Give prob of picking 2 k and 1 e.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 - 51 = 4*y. List the prime factors of y.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 20123*n - 181190. Calculate i(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1626806, -1626741, -1626680, -1626623, -1626570, -1626521, -1626476?\nAnswer: -1626435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from {z: 2, a: 5, u: 2, l: 1, j: 10}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ba (base 15) in base 12?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, -2\/15, -3\/2, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 599704, 1199439, 1799162, 2398867, 2998548, 3598199?\n\"Answer: -r**3 + 599742*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:05 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5570824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 2:46 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31139 + 56918. Does 49 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.94, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.5, 1, 5, -0.4, -36\/11 in decreasing order.\nAnswer: 5, 1, 0.2, -0.4, -0.5, -36\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 1. Let v(n) = -n. Let c(i) = 5*t(i) - 4*v(i). Let d(m) = -4*m - 20. Let u(z) = 9*c(z) - 2*d(z). Give u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8 + 8. Suppose 3*r = -v + 10. Let u(x) = -1 - 2 - 2*x + 4 + 2*x**r. Give u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89251 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*p + 330 = 0, -5*z + 3*p + 252 = -332. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5632 + 11177. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/376992 and -173\/12852?\nAnswer: 1130976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14624 + -625.1?\nAnswer: -15249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-252))\/(143\/45045*-45).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/8 - 11*y**3\/8 + 25*y**2\/8 - 13*y\/8 = 0. Calculate y.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -13\/6*w**3 - 9*w + 0 + 4\/3*w**4 + 0*w**2. Find the second derivative of b(g) wrt g.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 - -222. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 472 + -468. Which is the nearest to p? (a) 0 (b) -1 (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*c**2 - 2 + (-4*c + 0*c + 6*c)*(-5934*c + 12561*c - 8539*c).\nAnswer: -3822*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5574*n + 5903*n + 174*n.\nAnswer: 11651*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 6\/29 (c) 94 (d) 5240 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10*n**3 - n - 2. Let w(a) = 593*a + 2371. Let p be w(-4). Determine o(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186829449 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-1)*(1 - 0). Let n = c + -5. Sort -4, n, -0.1 in ascending order.\nAnswer: -4, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c. Let f(t) = 4*t - 1. Let z be f(1). Let l(a) = -z*a + 6*a - 3*a + a**2. Calculate l(y(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**2\/3 + 569620*q\/3 - 284804.\nAnswer: -4*(q - 71201)*(2*q - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 d, and 1 e when four letters picked without replacement from eddeiepcpapp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -26, -1 in descending order.\nAnswer: 3, 2, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*((-1909)\/230)\/(-83).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*m**2 - 3*m**2 - 11*m**2 - 11*m**2 + 47.\nAnswer: 3*m**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 749*c + 531*c + 156 + 570 - 202 wrt c?\nAnswer: 1280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b9374 (base 15) in base 5?\nAnswer: 321104114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 3*p**2 - 3. Let d(n) = -n**3 + 2*n**2 - 2. Let t be (1 + -2)*9\/3. Determine t*d(s) + 2*i(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -3 (c) -223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17784218509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icicichuhhhii. What is prob of picking 1 u and 2 h?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.7, -1\/4, -65, 2, 3\/4 in increasing order.\nAnswer: -65, -3.7, -1\/4, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -234 + 300. Calculate the remainder when 197 is divided by a.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.6014 - -0.0014. Let s = 42 + z. Which is the second smallest value? (a) -3 (b) -1\/2 (c) -1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1296\/35 or 38?\nAnswer: 1296\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*r = -1397*r - 136*r - 161880 for r.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47398 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 minus 0.837?\nAnswer: -81.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 19*c + 103. Determine r(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 4*u + 2 + 4*u + 0*u**3 + 2*u in the form n + y*u + i*u**2 + w*u**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 8*i + 9*i - 106 = -0*i, 4*i - 214 = 6*j for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(5) - -1*-1*sqrt(5))**2*6 + -3 + 1 + sqrt(500) + 1.\nAnswer: 10*sqrt(5) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*z - 2*z. Differentiate -q**2 + q**2 - 2*q**z - 4 + 4*q**2 with respect to q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l - 64. What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -985*c + 3333*c - 57558 - 45754 = 0 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235, 24, 5, 3 in ascending order.\nAnswer: 3, 5, 24, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2563804768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15025*q - 138901 - 111155 = -22614 - 17092 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgggzzgzggzzgggz. Give prob of sequence ggzg.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, 1, 80\/23, 2\/3?\nAnswer: 80\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 33*a**2 + 541*a - 12. Let k be w(12). Let s = 8 - -1. Solve -3*d - 4 = g + 8, k = -3*g - s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.2 != 4\/143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -173 - 61. Suppose -o = -5*m + 3*m. Is m at most as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(405) + -1)**2 - (4*(sqrt(405) + sqrt(405) + (2*sqrt(405) - sqrt(405)) - sqrt(405)))**2 - (3 + (1 + sqrt(405) + -3)**2).\nAnswer: -25918 - 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.354 + -0.056. Let y = -0.91 - f. Which is the second smallest value? (a) -1\/3 (b) y (c) -0.3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04975, 3\/4, 3 in decreasing order.\nAnswer: 3, 3\/4, -0.04975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let u(l) = -648*l**2. Give k(u(y)).\nAnswer: -419904*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -658 (base 15) to base 9.\nAnswer: -1862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 0*k + 6*k)*(2 + k**2 - 2) + 6*k**3 - k**3 - 3*k**3 + 0*k**3 + 2*k**3 + k**3 + 3*k**3 - 2*k**3 - 2*k**3 + (38*k - k**3 - 38*k + 2)*(-1 + 5 - 5).\nAnswer: 7*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 7*o - 8. Let x be c(2). Let t be x\/((-20)\/(-6)) - 492\/(-20). Calculate the greatest common factor of 40 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(242) + -1)*6.\nAnswer: -264*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/12 + 31*h**3\/6 - 109*h**2\/2 + h - 419. Calculate v(-34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n = -51*n + 1305. Let h(v) = 373*v**2 - v. Calculate the remainder when h(1) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 17. Let f = -6 + 5.4. Let l = f + -2.4. Which is the second smallest value? (a) q (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 69920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqk when three letters picked without replacement from ppklkpqkkcpkpplp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110011010 + 11111010010010?\nAnswer: 11101011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/12944 and -61\/141124.\nAnswer: 456677264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2221 is divided by 123.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 6, -8, -3, 2 in descending order.\nAnswer: 14, 6, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3767 - 1085. Calculate the highest common factor of q and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**3 - q**4 + 0 + 4*q - 7 - 3*q + 5 in the form j*q**4 + x*q + m*q**3 + y + w*q**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*m = 44 + 53, 2*n = -2*m + 174. Let s(d) = 25*d**3 + 28*d**3 + 30*d**3 + 7 - n*d**3 - 4*d - 4*d**2. Let k be (5\/3)\/((-4)\/(-12)). Calculate s(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 3*c + 2*t, -4*c - 108 = -4*t + 3*t. Let l be (0 - -1)\/((-2)\/c). Suppose -o - l = -2*o - 2*d, -5*o + 29 = d. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87a (base 14) to base 2\nAnswer: -11010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/19)\/t*t\/(t*t\/t**(4\/7)))\/((t*t**(-2\/3))\/t**(-1\/4))*((t\/t**(2\/9))**(-33))**15 assuming t is positive.\nAnswer: t**(-616243\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -632313 by 6387.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129674, -129676, -129678?\nAnswer: -129680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 6. Let l be m(7). Let g = -9 - l. Which is the third smallest value? (a) -1\/5 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10712 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2.5. Let m = -1660.47 - -1751.47. Put u, 2\/7, m in descending order.\nAnswer: m, u, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 10661*q - 17759*q - 1 - 2.\nAnswer: -28420*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82357 - -120085. What are the prime factors of n?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - (11 - 13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*o + 15*o + 3*o**2 + 2*o**2 + 3*o**2 - o**2 + 0*o**2 + (2*o - 5*o + o)*(-4*o + o + o).\nAnswer: 11*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (10 - 3) - (0 - 3). Suppose -u + 274 = 5*d - 419, -4*d + 8 = i. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2 - 2017607*h + 3345288?\nAnswer: 4*h - 2017607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -58bc2 (base 13) to base 4\nAnswer: -213221132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -969, -1926, -2883, -3840, -4797, -5754?\nAnswer: -6711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**2 - 106*t + 13. Let k(b) = -2*b**2 + 26*b - 3. Calculate -9*k(j) - 2*l(j).\nAnswer: 2*j**2 - 22*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:28 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115.9 + -111. Let g = 0 - q. What is g rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -734, -1580, -2426, -3272, -4118, -4964?\nAnswer: -5810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:28 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 5*t, 5*t = 5*y + 14230. Let a = -1154 + y. What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 18*b - 46*b - 25 to j*b + i and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*a + 7 = -0*a, -a = 4. Suppose 4*c = n*c. Solve 2 = v - c*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15825 in 0.1, -18\/7, -2, 2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 2.77 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j - 207*j + 177*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 16*r + 324. Let n be q(-9). Solve 52*d = n + 138 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 256593979.\nAnswer: 256593975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 12:49 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 172*v**2 + 516*v + 172. Let a(c) = c**3 - c**2 - 3*c - 1. Determine -516*a(p) - 3*k(p).\nAnswer: -516*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5883*n + 3136 = 5981*n for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Let c(x) = x**2 - x - 36. Let q be c(7). Solve z - 1 = -j, -z - a*j + q*j = 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4454, -5042, -6038, -7442, -9254, -11474, -14102?\n\"Answer: -204*s**2 + 24*s - 4274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4507 - 4561. Sort -0.2, 2, q in increasing order.\nAnswer: q, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 340\/7. Let f = w - 13\/35. Let x be 1 - -3 - 62\/16. What is the third biggest value in 2, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12*t - 20. Let p(x) = 4*x - 7. Let q(o) = 17*p(o) - 6*y(o). Let r be (2\/10)\/((-89)\/445). Calculate q(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/5250060 and -43\/2100024.\nAnswer: 10500120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 58. Let i(z) = -46*z**2 + 3154*z + 2. Calculate i(t(f)).\nAnswer: -46*f**2 + 2182*f + 28190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2719, 3692, 5255, 7402, 10127, 13424, 17287, 21710?\n\"Answer: -q**3 + 301*q**2 + 77*q + 2342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsps when four letters picked without replacement from {p: 1, r: 1, s: 17}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 71, 116, 125, 80, -37, -244, -559, -1000?\n\"Answer: -3*a**3 + 66*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 1 + 2*q**2 - 2*q**2 - 10*q**3 wrt q.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2.7. Let o = 43.9 - 40. Let l = -4 + o. Which is the nearest to -1\/2? (a) 0.5 (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21\/2881 - -228901\/178622. What is the common denominator of u and -59\/2?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 107*m. Let q(f) = f**2 - 93. Determine q(w(s)).\nAnswer: 11449*s**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 493 - 493.2. Which is smaller: y or 31\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j - 4. Let b = 496 + -486. Suppose -73*z + 78*z = b. Give n(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -449, -871, -1267, -1637, -1981?\n\"Answer: 13*y**2 - 461*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3315*h - 1657*h - 1658*h - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.1. Let k = -2670 - -13273\/5. Let s = k - -601\/40. Which is the nearest to 0.1? (a) -1\/2 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 7 + -1 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -8*h + 5*h. Let z(a) = a - 3. Let j be z(h). Suppose 5\/2*b**j - 3\/2*b - 1 = 0. Calculate b.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -255*u**2 + 97*u. Determine k(-1).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7293851367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584 a factor of 23205600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 20*q**5 + 1265*q**4 - 1020*q**3 - 3835*q**2 + 350*q + 1920 = 0.\nAnswer: -64, -1, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:01 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -6*k + k. Suppose -4*v + k = -5. Let l = -2.41 - 0.59. Which is the biggest value? (a) 0.1 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-10)*(-130)\/(-78).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x - 1. Suppose -8 = -2*m - 6. Let a(n) = -n**2 + 14*n - 1. Let b(o) = m*a(o) - g(o). Let k(q) = -2*q. Determine b(k(c)).\nAnswer: -8*c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 86 - (-1 + -3 + -2). Is c != 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/15 and -14\/309?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 18 = -9. Let u = f + 14. Let o(x) = -x**2 + x + 3 + u*x - 4*x. Calculate o(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {h: 9, w: 3, t: 1, f: 1}.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10 + 1500\/1250?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363937505 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/19)\/r*r)**(-32) assuming r is positive.\nAnswer: r**(-672\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*h**3 - 1364 + 2*h**2 + 1364 - 2*h**4 + (2*h**3 + 2*h**2 - 2*h**2)*(-2*h + 7*h + 2*h).\nAnswer: 12*h**4 + 11*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/7 - 49634*f**4\/7 + 615535889*f**3\/7 + 8627978384*f**2\/7 - 9243464640*f\/7 = 0. Calculate f.\nAnswer: -15, 0, 1, 24824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 8 = -3*h + 5*h, -5*h - 29 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 0*q + 0*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 1, v: 1}. What is prob of sequence fv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017932752 to six dps.\nAnswer: 0.001793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2 + 4 + 0 - 2 - 1 + 1 + 1 - 1 - 1 + 1 + (-2 + 4 + 0)*(3 + 2 - 3) + 3 - 1 - 1 + 8 + 29 + 25)*(6*x - 32 - 3*x - 4*x).\nAnswer: -72*x - 2304","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1404 and 144.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, 8\/5, 2 in descending order.\nAnswer: 2, 8\/5, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 11553 = 5*d - 0*o, 0 = -3*d - 2*o + 6932. Let p = d + -1267. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40397775615452+2\nAnswer: -40397775615450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*f - 5*f + 7*f)*(0*f - f + 0*f).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*h**2*v**2 - h**2*v - 7*h + 371820*v**4 + 6288*v - 8 wrt v.\nAnswer: 20*h**2 + 4461840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 248*r**3 - 98 wrt r?\nAnswer: 744*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*b - 145, 5*b - 132 = -3*a + 51. Suppose 2*u + 12 = -g, -b = 4*u + 3*g + 2*g. Let d = 19\/186 + 2\/31. Sort u, d, -0.3 in decreasing order.\nAnswer: d, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 9. Let l be z(6). Suppose -l*d + 85 = 2*d. What is the greatest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -482 + 838. Let b = o - 43. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*1*(-43)\/258. Let l = 736\/11 + -67. What is the closest to d in 1, l, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 3*x - 14*x + 5 + 3*x**2. Let t(h) = -6*h**2 - 14*h - 16. Let k be t(-1). What are the prime factors of g(k)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:07 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -g + 5*o, -g - g - 2 = 2*o. Let a be 3509\/693 + g + -6. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/13, -0.5, 0.3, -2\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 + 4207894*i**2 - 2213298593350*i + 2213294385458 = 0.\nAnswer: 1, 1051973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/27)\/((-4)\/36*-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -325 = -500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-5 - (-4 + -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/48 and 55\/23488.\nAnswer: 70464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1183 - 63305440\nAnswer: -63305440.1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90162*u + 90131*u - 180290*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 225, 205, 185, 165, 145, 125?\n\"Answer: -20*p + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 1565*c - 3110.\nAnswer: -5*(c + 2)*(c + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26261663, -26261657, -26261647, -26261633?\nAnswer: -26261615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 34 + 0*a + a + 0*a + a. What is the units digit of q(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, 2295454, -5 in ascending order.\nAnswer: -5, 135, 2295454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:41 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 2*n + 1)*(511413 + 4875*n - 511413) to h + i*n**2 + d*n and give d.\nAnswer: -9750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 12:25 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5592*f**2*q**3 - 476*f*q**2 + 5*q**3 wrt f.\nAnswer: 11184*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**3 + 602*i**2. Let x(c) = -c + 13. What is -5*h(p) + 2*x(p)?\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13.401979, 4, 0.2, 3\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -211794.2 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30087546 divided by -10029182.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/84*6 - 0)\/(71\/497)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/2)\/((-6)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -445305 divided by -358\nAnswer: 445305\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/(13\/26)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*k + 91*k + 256811 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 12\/5*u**2 - 6\/5*u**3 - 9\/5 - 3\/5*u**4 + 6\/5*u = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29350149 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -296 - -304. Solve -f = 4*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 115527?\nAnswer: -115522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 1, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3078 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-1))\/5*(-8)\/24.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1 + 3*z + 0 + 34*z**2 - 3*z. Let w be s(-1). Suppose -3*c + 13 = -14. Solve 7 = -4*r + 3*k, -3*r - 4*k + c = w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.129 + -8.129. Let x be 2*(-7)\/(280\/15). Put k, x, -1 in decreasing order.\nAnswer: x, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(396))**2.\nAnswer: -108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (-4 - 194) - -6. Let j = 203 + z. Solve 3*v + 4 = -j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/3*((-2796)\/128 - 4). Let r = w + 112. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 12908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 86*q**2 - 167*q + 3209. Is i(18) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37759?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 29 = -z - 4*t, -4*z = -2*t - 64. Suppose -4*j + 3*j + z = 4*u, 0 = -5*u + 3*j. What is m in m**5 + m**3 + 2*m**u + 0*m**4 + m**2 + 3*m**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*p**4 - 14*p**4 - 6*p**4 + 4*p**4 + 8 wrt p?\nAnswer: -84*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) -0.06 (c) -2 (d) -36\/125 (e) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9 = 3*q, -4*a - 5*q + 28 = -3*a. What is the closest to -0.1 in a, -11, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92432953 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: Collect the terms in -3571039*o**3 + 7142093*o**3 - 3571053*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24*(1\/(-6) - (-12)\/((-1224)\/187)). Suppose 0 = 3*a - 7*a + 88. Let k be 4\/(-22) + (-1074)\/a. Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*y**3 + (2*y**2 + y**2 - 2*y**2)*(2*y + 2*y - 6*y))*(-5 - 20*y + 5).\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 + 49*n**2 + 17*n - 16. Let t(i) = 5*i**3 + 57*i**2 + 16*i - 19. Let b(y) = -6*c(y) + 5*t(y). Give b(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 3) to base 14\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.275*-0.2954.\nAnswer: 0.081235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from {x: 1, j: 2, s: 9, n: 1, o: 1, d: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*o + 3*p, 5*o = -p + 57 + 39. Suppose -o = -10*r + 5*r. Solve r*l = l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 70467377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -885 - -893.34. Let n = x + -2.5. Let d = -6 + n. Sort d, 2, 0, 2\/7 in decreasing order.\nAnswer: 2, 2\/7, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (10 - (16 - 4) - (0 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -259*b**6\/40 + 647*b**5\/60 - 1421*b**2. Find the third derivative of h(w) wrt w.\nAnswer: -4662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -321, -324, -329, -336, -345?\n\"Answer: -s**2 - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**3*y + 6*x**3 - x**2*y - 249*x**2 - 1694*y wrt y?\nAnswer: -2*x**3 - x**2 - 1694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 9*u - 9. Let k be x(9). Let c = k + -9. Let z = c + 40. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 1, m: 1, s: 1, v: 1, d: 2}. Give prob of picking 1 k and 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**6\/3 - 2*d**3 + 8. Find the third derivative of w(y) wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -2\/11 (c) -239\/397\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/28)\/(25\/1000)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*g - 3. Let f = -26794 - -26799. Solve g*x - 10 = f*j, 5 = x - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 14. Let w be 0\/(-2) - 25\/(-5). Suppose 5*k + 5 = 0, -9*x + w*x + k = 55. Let y be l(x). Which is the biggest value? (a) y (b) 0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 65*c - 166. Calculate f(5).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d - 301080*d**4 - d - 3*d**2 + 5 + 2*d**3 + 301082*d**4 to o*d + c*d**4 + f*d**3 + w + q*d**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/16 and -131\/1014.\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 17*w**3\/3 + 3*w**2 + 334. Let g(f) = 16*f**2 + 5*f. What is 5*b(o) - 6*g(o)?\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8446260 divided by 15.\nAnswer: 563084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 0*u**4 - 2*u + 0*u**2 + 1\/165*u**6 + 0 + 1\/110*u**5 + 0*u**3. Let n(f) = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20385 is divided by 19709.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o - 122. Let f be t(13). Suppose -19 = -3*k + w, -8 = -2*k - w + f. Solve 9*l = k*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 7:55 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y + 30 - 62 + 32.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-135)\/(-10)*(-5 - 1). Let n = c + 80. Let d(g) be the second derivative of g**4\/12 - g**2\/2 - 10*g - 4. Calculate d(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c + 254 = -19. Solve -c*s = -2 + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 10:46 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(20)*4 + sqrt(20))\/sqrt(10)*1 + -2.\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 796*b - 891. Is n(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*2*((-4788)\/(-152) + -32)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88633\/6187 - 111\/269. Let v = 2796\/115 - l. What is the common denominator of v and -35\/13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 301217?\nAnswer: -301206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 786*n**2*p**4 - 31*n**2 - 16*n*p**2 + 2*p**4 + 2*p**3 wrt p?\nAnswer: 18864*n**2*p + 48*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 2*m**2 - 11*m - 3. Let z be c(4). Let a = -14 - z. Let d = -39\/190 + 1\/10. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 9. Let z be a(5). Find the first derivative of -6 + 10*r**4 - 13*r**4 + z*r**4 wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211*a - 47*a - 3668 - 3220 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*n**3 + 0 + (2 - 2 + 2*n**2)*(-2*n - n - 3*n).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 16*a + 476. What is the remainder when 72 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1664)\/(-224) + 10\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169 + 174. Suppose 0*t + 4*t + 723 = 3*r, -o*r + 1210 = -5*t. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 142.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 616*c**2 + 109029*c - 483. Determine o(-177).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1480 = 112. Let v be (3\/9)\/((-2)\/(-6)). Let c be (20\/(-12))\/(v\/f). What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4340 and 1820.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3016129061.\nAnswer: 11, 71, 3861881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60086 - -6?\nAnswer: 60091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.12 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15 = -x. Suppose 6*o - 12 = x*o. Factor 10*y - 2 + 2*y**4 - 2*y**3 + 2 - o - 6*y**2.\nAnswer: 2*(y - 1)**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/420 + i**5\/70 + i**4\/28 + i**3\/21 - 2*i**2. Factor q(z).\nAnswer: 2*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 - 2*g**2 + g - 2. Let r be p(-2). Let s = 33 - r. What is the remainder when s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.05, -0.3, 3 in decreasing order.\nAnswer: 3, 0.05, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 13*y - 5*x + 10 = 0, -4*y - 5*x + 6 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j + 39*j - 37 + 1 = 0 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from iinwrwirwwrtwniwnnq?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + (sqrt(3) - sqrt(192)) + sqrt(432)*-1 - ((sqrt(24)\/(sqrt(6)\/sqrt(3)))\/(sqrt(4) - (sqrt(32)*-1)\/sqrt(8))*-2)**2.\nAnswer: -19*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -35*h + 132. Calculate the least common multiple of n(3) and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5311 is divided by 940.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -1\/225*i**6 - 25 + 14*i - 1\/90*i**4 + 0*i**2 + 0*i**3 - 1\/75*i**5. Let x(o) be the first derivative of z(o). Factor x(s).\nAnswer: -2*s**2*(s + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.28+0.15\nAnswer: 1.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.82 + -0.18. Let g = -3 - 0. Let x be -1 + (-3)\/(-5) + 0. Which is the closest to -0.1? (a) t (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**3 + 10*v**3 - 13*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-350 + 350 + 53*z)*(1 + z - 1) - z**2 - 7*z - 5 + 7*z.\nAnswer: 52*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02815 - 0.97185. What is the second smallest value in 0.4, o, -0.4, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2339 + 8269 = -2*s - 2*j, s + 4*j + 5316 = 0. Round s to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -18. What is the second derivative of 6*x**3 + 3*x**3 + 3*x - m*x - 4*x**3 wrt x?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*i**2 - 2*i**3 + 0*i**4 + 147*i**2 - i**4 - 294*i**2 + 12*i + 0*i**3 - 2 to q + v*i**4 + m*i**3 + k*i + h*i**2 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67824, -271273, -610356, -1085073, -1695424, -2441409?\n\"Answer: -67817*c**2 + 2*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255*o**2 + 455*o**2 + 25*o**4 - 48*o**3 + 4 - 24*o**4 - 300*o**2 wrt o?\nAnswer: 24*o - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 3 + 0 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 242031 (base 6) to base 7\nAnswer: 115525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 3*a**2 - 3*a + 4. Let n be t(4). Let k be 2\/n*10*-2. Let s(d) = -2 - d + 1 + 0 + 0. What is s(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 377 - 217. Suppose -k - 4*k = -c. Let l = k - 28. Calculate the highest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**3 - 38925*h**2 - 117170*h + 2725800 = 0. What is h?\nAnswer: -10, 7, 7788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(1\/9)\/a)\/a*a)\/a**2*(a**(-1))**(-7)*((a*a*(a**(2\/9)\/a)\/a)\/a*a*a**(-1\/5))\/(a**(1\/2)*a**(3\/2)) assuming a is positive.\nAnswer: a**(47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 0 + (7 - 13).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4001*f**2. Let p(y) = -2*y**2. What is p(z(o))?\nAnswer: -32016002*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 w when three letters picked without replacement from qpwpuwpppwpwpuwppww.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-14\/3)\/(n**(-2\/11)\/n*n*n*n*n*n**(-2\/9)) assuming n is positive.\nAnswer: n**(-389\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 0 - (20 + -33)) + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4 (b) 0 (c) -2\/11 (d) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40631 - -243787\/6. Which is the nearest to 1\/2? (a) y (b) -2\/9 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.7 + -8. Let n = i - 0.2. Let u = 2.2 + -3.2. What is the closest to -1 in u, n, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/87877, -0.4, -8?\nAnswer: -2\/87877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119970.\nAnswer: 2, 3, 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-6))\/(182\/858)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3519*u - 1754*u - 1743*u.\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.18 + -0.18. Let u = 34 + -29.4. Let m = u - k. Which is greater: -0.1 or m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 9*y**2 + 27*y**2 - 15*y**2.\nAnswer: 3*y**2 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -5. Calculate the lowest common multiple of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16368 and 14271312?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 11527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7345.\nAnswer: 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 5*o**2 + 4*o - 52. Let q be r(-7). What is the highest common factor of 774 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8107)\/22990 - 12\/(-40) - (10932\/(-57))\/(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -3. Let z(j) = j**3 - 10*j**2 + 1. Let f be z(t). Put 0.2, -2\/7, f in decreasing order.\nAnswer: f, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**6 + 401*s**5 - 2*s**4 - 62*s**2 - 17 wrt s?\nAnswer: 240*s**3 + 24060*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 0.5 (c) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**2 + 4*b**2 - b**2)*(-23*b + 3206 + 6762*b**2 - 3206 + 23*b) in the form s*b**3 + i*b**2 + l + z*b + n*b**4 and give n.\nAnswer: 6762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180323864 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2. Let k(c) be the third derivative of -c**4\/12 + 6*c**2. What is v(k(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13 + 37*c**2 - 33 + 35 + 72*c - c**3. Is b(34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17\/4 (b) -2\/5 (c) 6\/5 (d) -14 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*v + 30. Suppose -2*b + 18 = -5*t + 71, -2*t - 5*b = -56. Calculate the remainder when v is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/5 + 68*w**2\/5 - 2*w\/5 - 68\/5 = 0.\nAnswer: -34, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 - (2 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*o**5 + 13104358*o**4 + 80084192*o**3\/13 - 74594928*o**2\/13 + 14784544*o\/13 - 896032\/13 = 0.\nAnswer: -1, 2\/13, 2\/9, 56002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let t = -8 - -3. Let q be 2\/(-44)*(t + 1). Is n < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -542, -397, -158, 175, 602, 1123, 1738?\n\"Answer: 47*w**2 + 4*w - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/10)\/(n\/(n\/n**(-8))))\/(n*n\/(n**(-1\/2)*n))**(-7\/10)*((n\/n**(-1\/2)*n)\/n)\/n**3*(n**(-2)*n)**(-3\/5) assuming n is positive.\nAnswer: n**(161\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 961791 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from annjobbmjnj. Give prob of sequence jo.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.03 (b) -124064 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 15, 6*z = 2*n + 2*z - 18. Let c = 6 + -10. Let q = c + 8. What is the remainder when q is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5*y + 15 = 0. Let j be ((-4)\/12)\/((-1)\/y). Let k(u) = 7*u**3 - 5*u**2 - 5*u - 3. Let a(t) = 11*t**3 - 8*t**2 - 8*t - 5. Determine j*a(i) + 8*k(i).\nAnswer: i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2 - 23. Let y = 401 + -390. What is the remainder when i is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14698868 to the nearest integer?\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1472975530 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/4)\/(-3)*9\/(702\/(-52)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 - -1021302?\nAnswer: 1021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*r**2*v*z**2 - 4*r**2*v*z - r**2*z**2 + 7*r + v*z**2 - 3*z**2 wrt v?\nAnswer: 7*r**2*z**2 - 4*r**2*z + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 + 962*q + 186 + 967*q - 1929*q + 249*q**3.\nAnswer: 249*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 4, c: 2, n: 3}. What is prob of picking 2 n and 1 k?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p - 3*c + 56, 5*p - 2*c - 263 = 0. Let v = 32 + p. Does 49 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3056 (b) 0.084 (c) -2\/7 (d) -3\/5 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368692 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 13*d**2 - 9*d - 9. Let a(h) = 6*h**2 - 4*h - 4. Suppose 9*y - 6*y = -27. Let b(n) = y*a(n) + 4*p(n). Let v(s) = -7*s. Determine v(b(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-3) + 4\/12. What is the remainder when o*((-78)\/15 + -2) is divided by -5*2\/(-5) - -17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6671300 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3149 + -3188 + (0 - 0)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q**2 + 302*q + 93. Give b(-43).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 2*h**2 - 7*h - 62 + 186 - 13. Let u(n) = -n**2. Determine m(u(z)).\nAnswer: -4*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001817423 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1265326 divided by -51.\nAnswer: -1265326\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -257.\nAnswer: 3598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55166605*r**4 - 2*r**2 + 10503*r + 1288 wrt r?\nAnswer: 661999260*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 2*m - 4. Let f(t) = 2*t**2 + 3*t - 7. Let n(d) = -4*f(d) + 7*z(d). Let r(w) = -65 - w + 65. Determine 3*n(j) + 6*r(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a274 (base 14) to base 12.\nAnswer: -141ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32620 (base 7) in base 16?\nAnswer: -2005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1240)\/(-12090)*(-9)\/24\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:01 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/2 + 13*q**3\/12 + 5*q**2\/6 - 167*q. Solve n(w) = 0 for w.\nAnswer: -2\/3, -5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one sixths of a millennium?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994681203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 255 - 255)*(2*f + 4*f - 5*f) + (2*f - 4*f + 4*f)*(-4*f + 5*f - 2*f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 118405769 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v - v + 3*v - 5 + 0*v to the form a*v + c and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2126400 and 2126400.\nAnswer: 2126400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.41193 to 2 dps.\nAnswer: -7.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*i + 7, -7*u = 2*i - 5*u + 8. Let l = i + 10. Suppose 3*x - 22 = 5. What is the remainder when x is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 - -0.84. Let s = r + -0.7. Which is the nearest to 0? (a) -2\/9 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m - 9. Let p be d(4). Suppose -3*g - 6*f - p = -3*f, -g - 21 = 5*f. Solve 5*h - 3 = -j, -g*h = -3*j + 4 - 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 6) in base 16?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Suppose a + 0*a - 18 = w. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4172672634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, q: 3, s: 2, p: 4, h: 1}. What is prob of picking 1 h and 2 s?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2be49 (base 15) in base 7?\nAnswer: 1126545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from nnguaaauuuqnuzaaa?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 123780897908.2 and 0.14.\nAnswer: 123780897908.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4731*t - 6 = -4732*t, 2*n = t - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*c - 4. Let i be c\/(-16) - (-17)\/4. Suppose -o = -i*o + 12. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753464 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4527241859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 0*h**2 - 13 + 0*h**3 - 19\/5*h**5 - 12*h + 0*h**4. Differentiate d(u) with respect to u.\nAnswer: -76*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -52?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 924500522 and 61448.\nAnswer: 15362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -64, 91, -3, -6 in increasing order.\nAnswer: -64, -6, -3, 0, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n + 60. Let i be y(-10). Suppose i + 332 = 2*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 19, p: 1}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*q*r**4*t - 2*q*r**4 + 7190*q*r**3 - 170*q*r**2*t + 2*q*r**2 - 119*r - 7*t wrt r.\nAnswer: 1200*q*r*t - 48*q*r + 43140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5288 by 4.\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/861? (a) -0.5 (b) -1\/11 (c) -236 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 120? (a) 34 (b) -4\/21 (c) 13 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 4 (c) 45.21 (d) 1 (e) -0.9 (f) -2\/9 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, t: 5}. What is prob of sequence kkt?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38\/7 - -36\/7. Let i = -25\/63 - q. Suppose 2*g + g = 4*t + 16, g + 20 = -5*t. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15222 + 4358. Let m be u\/(-77) - 4\/44. Do 141 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -22, -39, -46, -37, -6, 53?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -902275784 divided by -8\nAnswer: 112784473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 873345 and 24977667?\nAnswer: 124888335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 7*o - 1. Let g(c) = -5*c**2 - 26*c - 6. Give -g(k) - 4*u(k).\nAnswer: k**2 - 2*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1022247527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 12938?\nAnswer: 12935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 1935*b - 5913. Give t(3).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 5*c + 3. Let b be v(5). Suppose -136*h - 174*h = -233*h - 462. Sort b, h, -5.\nAnswer: b, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, j: 4, n: 6, p: 1}. Give prob of picking 1 j and 1 p.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 81. Let l(o) be the first derivative of 0*o + 0*o**4 + 7\/5*o**5 + 5 + 0*o**2 + 2*o**k. Find the third derivative of l(j) wrt j.\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/16 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/120 - v**5\/60 - v**4\/8 - v**3 - 699*v**2. Let z(o) = -o**3 + o**2 + 5*o + 11. What is 5*b(k) + 3*z(k)?\nAnswer: 2*k**3 - 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/5 - 8*m**2\/5 - 3*m = 0.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 30\/(-12))\/(10\/((-180)\/63)). Factor 0*b**2 - 3\/7*b**3 + 0 + n*b.\nAnswer: -3*b*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**5\/20 - v**4\/12 - 2*v**3\/3 - 3*v**2\/2 - 2*v. Let g be s(-2). Let a be 2\/g - 90\/(-21). Solve -a*m + 3*m = -5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -n - 6. Solve -2 = -n*k - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3, -3\/26, -2, -996?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -598*w**3 - w + 9236 wrt w.\nAnswer: -1794*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -2*p**3 - p**2 - 5. What is the second derivative of d(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184992 and 58280?\nAnswer: 28673760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 2*(sqrt(363) + sqrt(363)*1) - sqrt(363)) + -1 + (sqrt(363) - (sqrt(363)*-4 + -2)) + -1)**2 + -4.\nAnswer: 29399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 19*l - 96*l - 2517 = -167 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243) + (sqrt(243) - (4 + sqrt(243)*2) - sqrt(243)) + sqrt(243) + sqrt(243) + (1*sqrt(243) - sqrt(243)) + 2 + sqrt(243))**2.\nAnswer: -108*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 1)*(-6)\/(-9)*(-315)\/30)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*0*5\/(5\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*u + 3*g, 5*u + g = -26 + 41 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.15615 and 6?\nAnswer: -36.9369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i + 13 = 5*q, 5*q = -5. What is the remainder when 177 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3987, 4110, 4233?\nAnswer: 4356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 573683 and 2134.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8756296346672 - -0.04.\nAnswer: -8756296346671.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.2, -2\/9, 94?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-13 - -3)) + -2 - 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by 1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*b - 15. Suppose -27*j + 85 = -10*j. Let p be (j - (-168)\/(-32)) + 0. Sort b, p, -4, 2\/15 in decreasing order.\nAnswer: 2\/15, p, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 13*j + 1. Let f be a(-4). Let o = f - -359. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 3. Let h be c(-6). Suppose 3*o - p - 28 = -5*p, -3*o - 3*p = -30. Calculate the smallest common multiple of (1\/h)\/((-3)\/(-90)) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/7)\/((-138)\/644). Let r(w) = w**2 + 2. Let t(s) = 5*s**2 + 8. What is q*t(d) - 18*r(d)?\nAnswer: 2*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -d7b6 (base 15) to base 5\nAnswer: -2424441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1730764.6 - -0.03?\nAnswer: -1730764.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 203, 0, 5, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53272684?\nAnswer: 2, 13318171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from pppdpd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*a - 42. Suppose -a*l = -4*l + 122. List the prime factors of 1 + 2 + 6 + -6 - l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -95, -107, -137, -191?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = x - 2*x - 43, 0 = -2*x - g - 53. Let w(r) = 26*r**3 - 18*r**2 - 19*r. Let h be w(-1). Are h and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2027.\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9568*f**2 + f - 14585?\nAnswer: 19136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27772776 and 638848.\nAnswer: 5704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (25\/(-30))\/((2 + 5)\/42).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 4*i + 7. Let f be q(-5). Suppose f*w = -0*w + 16. Calculate the remainder when w is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2861*w = -43519 - 36589 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 + -13 - 7 - -19 and 233.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2184 minus 219682?\nAnswer: -221866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 40, 148, 354, 688, 1180?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0*l + l - 3)*(-19038*l + 40536*l - 19868*l) to h*l + t*l**2 + x and give t.\nAnswer: 1630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Let z(n) = -n - 1. Let s be z(-2). Suppose 2*y - 15 = s. What is the lowest common multiple of i and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 494 in -7, 4, 0.7, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 33981570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:24 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*m - 4 = 0, 2*q + 3 - 11 = 4*m. Let z = q + 3. Suppose 56 = y + z*y. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 3*q + 8. Let w be v(-4). Let o = -39 + w. Which is the biggest value? (a) o (b) -2 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 92736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 426*i - 38006. Give p(81).\nAnswer: -3500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2*z - 2 = 0, -3*u - 3*z = 2*u + 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 545901085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(sqrt(68) + 0 - sqrt(68))*4*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 334 - 170. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 + 4 = -4*q, -5*p = -2*q + 9. Solve b - 18 + 8 = r, -2*r - q*b = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*g - 76*g - 3*k - 15, 0 = -2*k - 2 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18025183, 18025181, 18025179, 18025177?\nAnswer: 18025175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaaoaaaavzovvoaooaz. Give prob of sequence zv.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491730 = -97*t + 23*t. What is the highest common divisor of t and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 times 0.3?\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, i: 9}. Give prob of sequence nin.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-18)*(-3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16152755 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530*w - 1368*w + 4 + 424*w - 4 + 4*w**2 + 508*w.\nAnswer: 4*w**2 + 94*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66753 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 + 16*k**3 + 18*k**2.\nAnswer: -2*k**2*(k - 9)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56*b**2*n + 12*b**2*v**3 + 7*b*n*v**3 + 15*v**3 wrt n?\nAnswer: 56*b**2 + 7*b*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 1 t when three letters picked without replacement from {y: 5, j: 1, t: 5, h: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38801 and 805.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8115099 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 - 10*x. Let g be v(-6). Let f = -80 - g. Suppose 0 = -5*l + f + 15. Calculate the smallest common multiple of l and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1872)*4 + -5)**2.\nAnswer: -960*sqrt(13) + 119833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*w**2 + 0*w - 20*w**2 + 0*w.\nAnswer: -71*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 12*v - 3. Let x be u(4). Let w = -22 + 52. Calculate the highest common factor of x and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*o**3*z**3 + 3*h*o**3*z - h*o**2 - h*z**3 + 11*o**3*z**2 + 5*o**3 wrt z?\nAnswer: 6*h*o**3*z - 6*h*z + 22*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 6. Calculate the highest common factor of 5 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p + 32. Let u(a) = 11*a + 64. Let j(t) = 13*m(t) - 6*u(t). Find the common denominator of -9\/22 and j(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-988 - 7*f + 988)*(-4*f + 0*f + 3*f) + 11*f - 11*f - 40*f**2)*(-5 + 2 + 1) in the form a*f**2 + i + c*f and give a.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (7 + -6 - (-1 + -39))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - k - 1. Let v be s(-1). Let j = 4 + v. Factor 3 + 0 + b**2 - j*b**2 - 4 + 5*b.\nAnswer: -(b - 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -404005?\nAnswer: 404002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/((-3)\/549). Let u = -24 + 58. Let b = h - u. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 233022?\nAnswer: 233011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**7\/1400 + 3*t**6\/200 - t**5\/20 - t**3 + 2*t - 60. Let w(d) be the third derivative of i(d). Factor w(k).\nAnswer: 3*k*(k - 1)*(k + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by -80\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = -5*g, -3*g + 2 + 0 = u. Let y(q) = -q**2 - 5*q - 5. Let x be y(u). Let h(k) = -10*k**3 - k**2 + 1. What is the units digit of h(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/((sqrt(72) - (sqrt(72)*-1 - sqrt(72)))\/sqrt(12)) - (-2*sqrt(4050))\/sqrt(10).\nAnswer: 55*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 58 = -4*o, -507 = 14*o + 4*h - 293 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.16 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -11. Let d = k + 9. Let s be (-2)\/d*(-2 + -4). Solve -s*u + 3 = -3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*2289\/(-7). Suppose 0 = 3*s - 8*c + 5*c - 579, -s + p = 4*c. Let h = s - 134. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-3) - (-6 + 7). Suppose 0*k = -5*k + 3*m + 73, r*m = 2*k - 18. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(200))**2 + 4 + (((sqrt(200) - (-2 + sqrt(200) - sqrt(200)))*3)**2 - sqrt(200)) + -2*-3*(sqrt(200) - (-1 + sqrt(200))**2)*4.\nAnswer: -2184 + 1070*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-3 - (0 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(143))\/(sqrt(539)*-1).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 - 4 - 30)*(-2 - o**2 + 2) + 4*o**2 - 5*o**2 + 4*o**2.\nAnswer: 105*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/9 and -38\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {o: 2, v: 1, e: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(684) + -1 + 4 + sqrt(684) + -1*sqrt(684) + sqrt(684))**2 + -5 + (sqrt(684) + 1)*2 + -1*(sqrt(684) - (sqrt(684) + -1)) + sqrt(684).\nAnswer: -30*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5912017726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 5:49 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696857?\nAnswer: 7, 99551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2710, 5339, 12496, 26443, 49442, 83755, 131644, 195371?\nAnswer: 277198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 9*i - 12. Let k(b) = 6*b**3 - 3*b**2 - 2*b. Let y be k(-1). Let p be g(y). Solve -15 = -x - 4*o, 0 = -p*x + 2*o - 5*o + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + m + 1. Let i be t(-1). Suppose -2*l + 22 = -2*q, 1 - 10 = -3*q. Suppose 1 = -4*f - h + 4*h, -2*h + l = 4*f. Is f less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 175*x**2.\nAnswer: 5*x**2*(x - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {f: 2, z: 2, x: 1, v: 1, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 22. Calculate the common denominator of (2\/16)\/((-2)\/61) and (w + (4 - -4))*82\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 13*b**3 - 51*b**2 - 4*b - 1. Determine w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -27, 2, -0.06, -7, -2\/11, 485, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 6*d - 160 = 2*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179529602 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = -2*t, 0 = t + 5*o - 3*o - 2. Let l = -312 - -308. Put t, l, 13 in increasing order.\nAnswer: l, t, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 v, and 1 m when four letters picked without replacement from {q: 2, m: 4, v: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 5) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*j - 2499 = 102*j. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -1\/2*m**4 + 1\/20*m**5 - 7*m**2 + 0 - 5\/6*m**3 - 5*m. Let p be y(7). Solve -5*i = -p + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14a2d210 - -2?\nAnswer: 14a2d212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35999046*b**3*v - 2*b**2*v - 1338123*b**2 - 4*v wrt b?\nAnswer: 215994276*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -15\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(112) + 0 + sqrt(7) + sqrt(7) - sqrt(56)\/((sqrt(64)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: -20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3 - 314*c**2 - 12782*c - 35574 = 0.\nAnswer: -77, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 73, -19\/3, -0.073?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + 4*sqrt(147)*1 + -2 + (sqrt(147)*1 - sqrt(147)) + sqrt(147) + sqrt(147) + -5*(sqrt(147) + 1))*2 + -5)**2.\nAnswer: -2127 + 924*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5 - 86*g**4 + 204*g**3 + 1000*g**2 - 3536*g + 2880 = 0. What is g?\nAnswer: -45, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 17 = -l. What is the greatest common factor of 60 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 1123*w**5\/3 - 40427*w**4\/3 + 70737*w**3 - 101007*w**2 - 90*w = 0.\nAnswer: -1\/1123, 0, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/((-270)\/7494) - (-4)\/18.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o + 5*w - 34, -4*o - 3*w + 27 = 0. Suppose 3*i - o - 6 = 0. Let a = 23 - 12. Solve -4*x - i + a = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2\/7 - 864*y - 6044\/7 = 0. What is y?\nAnswer: -1511, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4385*b - 17184 = -3669*b for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(9\/(-468)). Let r be k\/(-8) - 45\/(-60). Put r, -2, 1 in ascending order.\nAnswer: -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = 145 - 215. Solve -13*k = -8*k + 4*q - 22, 0 = 5*k - q - f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 5*k + 1551 - 1507, -2*z - 8 = -5*k for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8544*a - 21867 = 1818*a + 26295 + 52728 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -12.7. Let v = 535 + -534.359. Let y = v + m. What is y rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187526 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, 0.3, -3\/5, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -521, -1158, -1795, -2432?\n\"Answer: -637*k + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -3*p + 453. Suppose s = 5*d + 88, 4 = -2*s - 3*d + p. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 59. Let u be -12*(87\/(-2) + -3). Let c = j + u. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 165*w**2 - 6*w**2 - 164*w**2. Let h(u) = 301*u. Calculate h(n(c)).\nAnswer: -1505*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-3))\/(32\/48) + 2131 is divided by 1059.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19510337*b**5*o**3 + 30782*b**2*o**2 - 1018*b*o**3 wrt b.\nAnswer: -1170620220*b**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 37 = -y. Let g = y + 53. What is the remainder when g is divided by (-3 + 1)\/2*-9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1512965106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**4 + 10*v**4 - 3*v**4 + 14*v**4 - 5*v**4 + 65*v**4 + (5*v - 4*v + 3*v)*(-3*v**3 + 0*v**3 + v**3).\nAnswer: 77*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -1.33\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -18066009 smaller than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186626, 373309, 560078, 746975, 934042?\nAnswer: 1121321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7099*n - 134890. Calculate h(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - 10*s**2 - 12*s + 3. Let m be v(6). Suppose 0*l - m*l + 3*r = 3, 5*l - r - 3 = 0. What is the greatest common factor of 9 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0*n + 0*n**7 + 0*n**4 - 28*n**2 + 0*n**6 + 1\/84*n**8 + 0*n**3 + 0 + 11\/60*n**5. What is the third derivative of k(j) wrt j?\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by 16\nAnswer: 31\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 761817 rounded to the nearest 10000?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85008*m**6*r**2 - 3*m**2*r**2 - 16068*m*r**2 wrt m.\nAnswer: 10200960*m**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 5290285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*r = 563, 4*r - 665 - 473 = -2*q. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**0*t**(-2))\/(t**(-6)*t**(-7)) assuming t is positive.\nAnswer: t**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5, 0 = 3*i + 4*x + 15 - 130. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/8 and -15\/5504.\nAnswer: 5504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5627077*u**4 - u**3 - 36687429.\nAnswer: 22508308*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 36?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7128918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*b + 132*b + 54*b)*(-3*b**4 - b + b).\nAnswer: -648*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95755, -95785, -95815, -95845, -95875?\n\"Answer: -30*g - 95725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + y**2 - 2*y + 3*y - 10. Let l be d(-12). Suppose 2*t - l = 16. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2948*c + 215 wrt c?\nAnswer: 2948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123*v**2 - 902 wrt v.\nAnswer: 246*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 q, and 1 c when four letters picked without replacement from ctcmmcmqtttcqcqccch?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 8. Let k = m - 0. Let d = 12.2 + -12. Which is the closest to k? (a) -1\/4 (b) 5\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 98 - 98. Let i be l(2). Is i equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108917364, 217834730, 326752096, 435669462?\nAnswer: 544586828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185259542.\nAnswer: 2, 13, 193, 36919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/143, -2681\/5, 3, -0.4.\nAnswer: -2681\/5, -0.4, 18\/143, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 10*c**2 - c + 19. Let b be r(10). Suppose -x - 180 = b*x. Calculate the remainder when (-1704)\/x*12\/8 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 10104*x**3 - 25522704*x**2.\nAnswer: -x**2*(x + 5052)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 248928430, 248928431, 248928432?\n\"Answer: d + 248928429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -247*n**2. Let k(q) = -2*q**2. Determine w(k(a)).\nAnswer: -988*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 397.92 + -7.92. Let i = 386.46 - k. Let y = -2.37 - i. Round y to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -81\/3824378 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*s**2 + 173*k**2*x - 16*k**2 + 4*k*s**2 - 355*k - 21*x wrt k?\nAnswer: 4*s**2 + 346*x - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1760)\/(-7 + 2) + 2 + -3. Let h = u - 194. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 4. Suppose -18*b + 81 = 243. Let t = -3 - 1. Sort 5, b, t, f.\nAnswer: b, t, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(((-10)\/(-92))\/5). Let j = 56 + c. Find the common denominator of (88\/j)\/(4 - 3) and -73\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l + 3. Let w(z) = -z - 1. Suppose 5*t + t + 12 = 0. Let b(c) = t*w(c) - y(c). Suppose 3*k + 0*k - 6 = 0. What is b(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 0*p + p)*(0 + 2 + 1)*(-6 - 9 + 8) in the form u*p + l and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than -6398?\nAnswer: -6397.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 181466*l + 4355766. What is c(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54008 and 20.\nAnswer: 270040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + 267\/(-36))*4*3. What is the third biggest value in 1\/11, i, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42 + -1 + (4 - 2). Suppose -4*k + 0*a - a + b = 0, 0 = 2*k + 3*a - 19. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 - 13*p**2 + 3*p. What is the thousands digit of b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2864219939 - -582105711. Let v = -2282114216.00000007 - z. Let n = v + -12. What is n rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1107 - -1107.019. Let p = 70.0236 - 70. Let l = p - r. Round l to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.5\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**6\/40 - t**5\/15 - 7*t**2. Find the third derivative of g(d) wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) -4 (c) 3 (d) 19.86 (e) 1 (f) 60 (g) -10\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u + 420 = 41*u. Is u a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 24*d - 22. Let t(m) = m**2 - m - 2. Let j be t(0). Let p(c) = 42 + c + 44 + 40 - 127. Calculate j*y(g) + 44*p(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 17*m**2 - 15*m - 12. Let g(q) = -q**3 - 9*q**2 - 8*q - 6. Let a(w) = -5*g(w) + 2*t(w). Calculate a(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101222221 - 11?\nAnswer: 2101222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*-2*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -334 + 627. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -23.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 12*i**2 + 24*i + 2. Give l(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*t = -2*g - 3, -g + 16 = 4*t. Let n be (3 - -3) + (-24)\/g. Let k = 217\/12 - 58\/3. What is the closest to 0 in n, -2\/3, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-35)\/(-15) - 2). Solve -5 = s*a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17808*c**2 - 29961*c**2 + 2594*c**2.\nAnswer: -45175*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18002856 and -0.02624?\nAnswer: 18002856.02624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 145 less than 108809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20*(96\/(-240) + (-201)\/10). Let z be 1\/4 - (-2467)\/4. Let y = o + z. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 210\/(-60)*6\/(-7). Let z = 5 - 6. Which is the nearest to z? (a) 0 (b) -1.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.758204 tonnes to grams.\nAnswer: 4758204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34*1\/4*20. Suppose 5*u + t = 5*z, -u + 4*u + 12 = 0. Suppose 7*g - 17*g = -200. What is the highest common factor of g and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -361673 at most as big as -361666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 10:28 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/30 - s**3 + 16*s**2. Let g be d(0). Let l(r) = r**3 + 7*r**2 + 8*r + 7. Give l(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 788973862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from upb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 5:07 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 7*s**4\/3 + 5*s**3\/3 + 2*s**2. Let d be h(-7). Is (d\/(-4))\/(5\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100232)\/(-66))\/34*96\/64.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -15a95?\nAnswer: 15a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*j**3 - 9*j**5 + 14*j**5 - 37*j**3 + 60*j + 7*j**3 - 20*j**2.\nAnswer: 5*j*(j - 3)*(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k. Let b = -202 - -285. Let d(r) = 83 + r - b. Determine o(d(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let p = -10 - -19. Suppose 2*d = d + 5*o + 9, -p = -2*d + o. Let w(k) = -3*k**3 - 4*k. Give d*v(r) - w(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 10208116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203006, 203178, 203350, 203522?\nAnswer: 203694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -89373 at most -89373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-14 - (-12 + -3)). Suppose -4*f = -24 - 12. Sort 3, b, f in increasing order.\nAnswer: b, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, v: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424780 is divided by 259.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -17, 0.5 in descending order.\nAnswer: 0.5, -17, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**5 - 1716*v**4 - 13584*v**3 - 27072*v**2.\nAnswer: -3*v**2*(v + 4)**2*(v + 564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*s = 100*s + v - 83, -2*v - 74 = -4*s. Calculate the lowest common multiple of s and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a6137a + 0?\nAnswer: -4a6137a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**8\/840 - o**4\/24 + o**3\/6 + 2*o**2. Let a(p) be the first derivative of r(p). What is the derivative of a(l) wrt l?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tllatllttall. What is prob of picking 1 a and 2 l?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 12:39 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - (-11)\/(-33). Put 3, z, -2 in ascending order.\nAnswer: -2, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m + 24. Let u = m - -7. Solve z - 2*z = u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 1. Let u be z(1). Let o be u + 1 + -1 + 0. Suppose o*r = -5*r + 10. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*x - 5*u, 10*x - 6*x = -u + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(36)\/((sqrt(132)*2)\/sqrt(11)) + 0)*-5)**2.\nAnswer: -125*sqrt(3) + 2575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 11. List the prime factors of (-4 - 22\/(-6))*-125*d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 36 + 84. Let h be (m\/28)\/(-1)*6\/(-15). Let i = -17\/2 - -8. Which is the third smallest value? (a) i (b) 2 (c) 0.3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 2*h**2 + 9*h - 9. Let v be y(2). Let z be 1\/((-2)\/4) + 55. Suppose z - 13 = 5*j. Which is bigger: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 2f327?\nAnswer: -2f32e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(7) + -3*sqrt(175)))\/(-2*(sqrt(25)\/sqrt(5) + sqrt(5))*6).\nAnswer: sqrt(11)\/336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391, -398, -409, -424?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 11:37 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04131 - -0.05869. Which is smaller: a or -8.85?\nAnswer: -8.85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 353\/21 + -1\/7. Let -8*x**2 + r*x - 4 - 14\/3*x**3 = 0. Calculate x.\nAnswer: -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61782 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14.3 * 41315\nAnswer: -590804.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8294, 14982, 26126, 41726, 61782, 86294, 115262?\nAnswer: 148686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -17*d - 2. Let s be n(-1). Suppose 5*m - s = 2*m. Suppose 9*b = 4*b + m, -u = 2*b - 23. What is the highest common divisor of u and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40822 times -0.2?\nAnswer: -8164.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-2421)\/(-1755) - 4\/30. Let f = 2\/3 + h. Which is the third biggest value? (a) -24 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npoerrrer. Give prob of picking 1 e and 2 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -15*z**2 - 10*z + 2. Let s(l) = 10*l**2 - l. What is c(r) + s(r)?\nAnswer: -5*r**2 - 11*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 76044575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188*z + 252*z + 337*z)*((0 + 3 - 1)*(-3*z + 5*z + 0*z) - 3*z + 0*z + 5*z)*(-1 + 1 - 2).\nAnswer: -4812*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/12 + 7*y**3\/3 - 49*y**2\/2 + 5*y - 9. Factor c(n).\nAnswer: -(n - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22.864 and -982348270.\nAnswer: -982348292.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(7\/(-252)*-12). What is the smallest value in -5, -1\/333, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24312509\/220 + 110512. Let h = g + 9\/44. Which is the biggest value? (a) h (b) -3\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, 1 z, and 1 q when four letters picked without replacement from {c: 6, o: 1, f: 8, q: 1, z: 1}.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242 + -138. Calculate the remainder when w is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 5)*(31*a**3 - 14*a**3 - a - 16*a**3)*(2 - 4 - 1 + (-3 - 2 + 3)*(6 - 4 - 3)) in the form g*a**3 + p*a + s + w*a**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19b37 + 7a9?\nAnswer: 1a3e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 w, and 1 t when four letters picked without replacement from {w: 9, r: 2, t: 2}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 - 85 - 11*r**2)*(-76*r**2 - 475*r + 106*r + 146*r**2 - 71*r**2).\nAnswer: 11*r**4 + 4059*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3028, 3030, 3034, 3040, 3048, 3058?\nAnswer: 3070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 241366 divided by -14198\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 7:49 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -11, -1.\nAnswer: -38, -11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 39 = 171 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3854*h + 1424 = 3498*h. Let j = -6 - -4. Let t be (2 - 0)*j\/5. What is the biggest value in -0.3, h, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*c**2 - 28 + 10*c**3 + 26 - 9*c**3 - c in the form w*c + f + u*c**2 + v*c**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 13, 27, 47?\n\"Answer: 3*f**2 - f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 313 - 286 = 0. Let z(i) = 2*i**3 - 3*i**2 - 3*i + 3. Calculate z(f).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/184 - 2814\/(-6440). Let n(i) be the first derivative of -g*i**4 + 4\/5*i + 3 - 3\/5*i**3 + 6\/5*i**2. Find d such that n(d) = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*s**6 + s**4 + 615*s**2?\nAnswer: 10200*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 27 - 1 = 3*s, 18 = -s - 4*p. Let g(n) = -9*n**2 - 9 - 43*n - n**3 + 33*n - s. Let j be g(-8). Solve j*f + 1 = -14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7185476 and 15056.\nAnswer: 28741904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3730 + -11?\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0. Let y be (-3)\/(1\/(-12)*3). Let h be (-4)\/y - (-39)\/36. What is the nearest to 0.1 in w, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + (4*sqrt(567) - sqrt(567)) - sqrt(567) - (3 + 3*sqrt(567))**2).\nAnswer: -5107 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -551 + 1139. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-15)\/10)\/3)\/((-8)\/48). Let s(m) be the first derivative of 7 + 0*m**2 - 21\/5*m**5 + 0*m**4 + 0*m**c + 31*m. Find the first derivative of s(l) wrt l.\nAnswer: -84*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.24 - -127.76. Which is the biggest value? (a) g (b) 1\/5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4300092?\nAnswer: 2, 3, 119447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5035, -5045, -5071, -5119, -5195, -5305?\n\"Answer: -d**3 - 2*d**2 + 3*d - 5035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 12) to base 11\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 21944 (b) -0.5 (c) -2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f = d - 82, -4*d + 2*f - 87 = -61 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 509433 by -3.\nAnswer: -169811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*j**2 - 2*f**2*j - 13*f**2 + 978*f*j**2 - f - 53 with respect to j.\nAnswer: 2*f**2*j - 2*f**2 + 1956*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*b - 4*b. Let w be (((-32)\/(-2))\/b)\/2. Are w and 4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35867.8 + 35868. Which is the second smallest value? (a) 6 (b) z (c) -54 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528*m + 83 - 42 - m**2 - 41.\nAnswer: -m**2 - 528*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 503659*g**3 - 626634.\nAnswer: 1510977*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(3\/90*-3). Suppose -15*q + r = -14*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3.8, 0.4, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**4\/6 + 50*s**2 - s + 20. Let q(g) = -4*g**2 + 3. Let p(o) = 3*o**2 - 2. Let c(k) = -6*p(k) - 4*q(k). Determine i(c(y)).\nAnswer: 8*y**4 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42694213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322000 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56887, 113780, 170673?\n\"Answer: 56893*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 + x + 11. Is l(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (11 - 10 - 13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + h - 4 = 0, 0 = q - 0*q + 2*h - 8. Suppose -5*n + g - 2 = q, -n = n - 3*g + 6. Suppose n = 2*i - 4 - 6. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f - 30. What is p(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 + -64. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 - 23 = 0. Let g(t) = -223*t + 4. Is g(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165*b**5 + b**4 + 1754*b**3 - 15*b**2 - 669*b + 198.\nAnswer: -9900*b**2 + 24*b + 10524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 - 2. Let d = -726 - -727. Which is the nearest to s? (a) -3\/4 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 28*q - 239. Determine x(35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/8 - 2\/8. Let k(r) = 3*r - 1. List the prime factors of k(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + 1. Is 3 a factor of b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*q - 6, 3*q - 7*q - t - 10 = 0. Suppose 0 = -2*g - n + 11, 6*g - 4*g + 2*n - 16 = 0. Let d(i) = 2*i**2 - 2*i**3 - 1 + 3*i**g + 0. Give d(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*i - 7*g + 2*g, 3*g - 57 = -4*i. What is the highest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35732, 71455, 107162, 142853, 178528, 214187, 249830?\nAnswer: 285457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -3)\/5 + 191. Let b be s\/35 - 4\/(-7). Solve 0 = 2*o - 4*o + b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1346092 and 10252?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242216 (base 13) in base 2?\nAnswer: 10101101100110001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-4 + 2))\/(1 - 2). Let c be ((4\/o)\/((-2478)\/(-11270)))\/45. Let v = c + 2\/295. Is v equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 2*j = 98. Let f be (68\/119)\/((-2)\/j). Suppose -5*a - 21 + 126 = -5*o, 0 = -5*a - f*o + 132. Calculate the lowest common multiple of a and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*a = 8*n - 20, -3*a + 15 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 1, b: 9, x: 1}. Give prob of sequence bbby.\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + (-1 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449882, -900164, -1350446, -1800728?\nAnswer: -2251010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -74. Suppose 0*l + n + 45 = 3*l, 3*l - 2*n = g. Suppose l = a + a. What is the highest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 84, 200, 404, 720, 1172?\nAnswer: 1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5416 - -5666. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -4. Suppose 12 = -4*j + 5*j. Let w = t + j. Solve w*u - 15 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -5*z - 45. Let u = z - 31. Let c = 11 + u. Let b(p) = p**3 + 6*p**2 + 6*p + 4. What is b(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9094*r - 685. Is a(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 1, 0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17685931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 7*l + 336. Is 9 a factor of q(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.04 (c) 12 (d) 0 (e) 1\/8 (f) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-26)\/t**(9\/2))\/(t**(-1\/5))**21 assuming t is positive.\nAnswer: t**(-263\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwc when three letters picked without replacement from {c: 4, v: 2, w: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -6.6. Let d = 185 + -190. What is the third biggest value in s, d, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79.51 in -0.4, 5, 0.05, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(((l*l\/l**5)\/l)\/l)*l\/(l*l**(-1\/3)) assuming l is positive.\nAnswer: l**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21234427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 3*s + s)*(9*s**3 - 6*s + 6*s) + (s**2 + 0*s**2 - 3*s**2 + 4 - 4 - s**2 + (-2 + 2 - 2*s)*(s - 2*s + 2*s))*(2*s**2 - 4*s**2 + 3*s**2).\nAnswer: -68*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13854 is divided by 227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l**2 - 6*l + 7. Let y(v) = 7*v + 57. Let m be y(-8). Let g be u(m). Solve 5*n - 4*w = -6, -3*n - 7 = -g*n + w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130395462581\/5502 + 165893787\/7. Let b = w - -3211\/6. Let p = b + -2031\/2620. What is the common denominator of -91\/22 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z + 0*z)*(4 - 1 + 0)*(-z**2 + 0*z**2 + 2*z**2)*(-6*z**2 + 4*z**2 + z**2).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = -2*w - 3, 0 = -3*a - 3*w + 15. Suppose -6 + 2 = -a*c - 3*y, 5*y = 3*c - 3. Let l(n) = -47*n**3 + 88*n**3 + 3 - 43*n**3 - 2. Determine l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.9 + -5.37. Let k = g - 0.03. Sort -0.4, k, -2\/3 in descending order.\nAnswer: -0.4, k, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/30 + 125*o**4\/4 - 372*o**3 - o**2 - 49*o + 1. Factor u(x).\nAnswer: -2*(x - 372)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 87, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atlaalattylta. Give prob of sequence alay.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3 = -3*w + 10, -5*w - 45 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**5\/12 - 5*b**3\/6 - 10*b**2. Let r(g) = -g + 2. Let m(i) = -4*i + 7. Let c(w) = 2*m(w) - 7*r(w). What is j(c(q))?\nAnswer: -5*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/76 - -609\/836. What is the common denominator of -46 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 254406.7 centuries?\nAnswer: 25440670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1895944 divided by -3.\nAnswer: -1895944\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 555667831*n**2. Let c(d) = 2*d**2. What is p(c(i))?\nAnswer: 2222671324*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1564 + 1534. Put 0, s, 1, -4 in descending order.\nAnswer: 1, 0, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -6. Let c be 0 - 2*10\/o. Let q(z) = z**3 - 4*z**2 - 4*z - 2. Let p be q(c). Solve 10 = d - p*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/314028 and 41\/1281?\nAnswer: 2198196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*125.846.\nAnswer: 15.10152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -60307 - 6935. Let k = l - 151207. Round k to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/42 and -27\/2198.\nAnswer: 6594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 56*p**2 + p - 1. Let h be q(1). Suppose -2*u + s - 6 = 10, 4*s = -4*u - 8. Let w = u + h. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f + 0*f)*(-3 + 3 + 2*f) - 263*f**2 + 126*f**2 - 33*f**2.\nAnswer: -166*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**5 - f**4 - 10389*f**3 - 681*f**2 + 27*f?\nAnswer: 240*f**2 - 24*f - 62334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 12*y - 11 + 5 - 17.\nAnswer: -12*y - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -731.670546 rounded to the nearest 10?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98*a**2*n - 5*a**2 - 308*a*n + 8*a - 548*n + 1261 wrt a.\nAnswer: -196*a*n - 10*a - 308*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 44*d**2 - 28878*d + 86184.\nAnswer: 2*(d - 108)*(d - 3)*(d + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7474.39 rounded to the nearest ten?\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 8*n**2 + n + 2. Let z be m(-8). Let k(w) = -w**3 - 5*w**2 + 5*w - 4. Let u be k(z). Suppose 0 = -o + u*o - 83. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1419075 and 4662675.\nAnswer: 32638725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14384 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 4)*3.\nAnswer: 12 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 25*y + 151. Suppose 0 = 4*x - 2*o - 120, -2*o = 3*x - 62 - 28. Determine w(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -9, -41, -107, -219?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from gbzbptzxzxbb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 + 519*l - 7*l**2 + 11 - 519*l with respect to l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*h**4)*(h - h + h)*(-10 - 6 + 7).\nAnswer: -27*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - p + 7 = 4*m, -4*p + 12 = 4*m. Let k be -6 + 2\/m + 1. Let f = 3 + -6. Does k = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(11)*-3 + -5 - 6*(sqrt(11) + -1 + sqrt(11)) - (5*(sqrt(99) - sqrt(99)*-2) + sqrt(99) + sqrt(99))\/(-5*sqrt(36)\/sqrt(4))).\nAnswer: -58*sqrt(11)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 20*i - 18. Let w be g(-11). Suppose -w*u = f + 9, 5*f + 10 = f - 3*u. Let z(t) = -2*t + t**2 - 4*t**2 + 2 - 3. Calculate z(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1\/31, -4, 4, -3\/1586, -2?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 13. Let c(d) = -d + 9. Let f be 2 - 1113\/(0 - 7). Let u = -168 + f. What is u*c(g) - 5*a(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(648) - (sqrt(2) + 0 + sqrt(10)\/sqrt(5)))*-4 + 5.\nAnswer: -64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78535437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/2 - -7) + -34. Let d(p) = 3*p**3 + 99*p**2 - p - 20. Let t be d(l). Solve 4*a = -b - t, 3*a + 3*b = a - 19 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/21)\/(g**(2\/15)\/g)*(g*g**(2\/15))**(1\/5))**(-8\/5) assuming g is positive.\nAnswer: g**(-4792\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/399*616\/1584.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*n + 16*n + 26*n + 8*n**2 + 49.\nAnswer: 8*n**2 + 2*n + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b*b**(-2\/5)\/b)*b**(-2\/9)*b**(-6)\/b**(1\/7) assuming b is positive.\nAnswer: b**(-2194\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-5 - sqrt(2)) + -2.\nAnswer: -46*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -h + 4*s - 0, 0 = -s + 4. Let i be -2*h*(-15)\/10. Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - 328 + 165 + 163.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/360 - 11*j**4\/144 - 115*j**2. Determine y so that d(y) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*r = 11, -2*r + 3*r + 13 = 3*u. Suppose -7*j + 3128 = -u*j - 4*y, 3*y = 2*j - 1565. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 937157*h**4 + h**2 + 70499*h + 35.\nAnswer: 22491768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 84974.8958 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41698319849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73621 is divided by 715.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284\/5*p**2 - 4\/5*p**4 - 144\/5 + 2\/5*p**5 - 344\/5*p - 18*p**3 = 0 for p.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 39. Suppose 1395*w - 1389*w = 1704. Let a = w + -303. Give g(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 95 = 4*z. Let r = 51 - z. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - 2*z**4 + 3*z + (-z - 2*z + 2*z)*(0 + 2*z**3 + 0) + z**4 + 2*z - 2*z + (3*z - 2*z + 2*z)*(z**2 - z**2 + 3*z**3) - 2*z**4 + 4*z**4 + 2*z**4.\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 724, 2926, 6596, 11734, 18340, 26414?\nAnswer: 35956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8326.89 times 0.5?\nAnswer: -4163.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by -22\nAnswer: -81\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202.7 - 203. Let m be (-14)\/(-6)*4\/(-70). What is the second biggest value in -0.4, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -474*g**5*j**3 + 5910*g**2*j**3 + 421*g*j**3 - 127*j**3 + 5*j**2 - 2*j wrt g.\nAnswer: -9480*g**3*j**3 + 11820*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872622 is divided by 405.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005422 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 - -0.7. Let p = -10.08 + 0.08. Let h = p - -9.6. Which is the nearest to 0.2? (a) n (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by (1 + 2)\/(4 - -4) - (-19631)\/536?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -12434?\nAnswer: 3\/12434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-19\/5))**(-2\/11))**19 assuming t is positive.\nAnswer: t**(722\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2419 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, d: 1, q: 1, t: 6}. What is prob of sequence qttd?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27309?\nAnswer: 3, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/1080 + u**5\/360 + u**3\/3 + u**2. Let a(q) be the first derivative of z(q). Find f such that a(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33226135.\nAnswer: 5, 6645227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 7*b - 3. Let y be g(6). Suppose 5*d - h = 3*d - 5, 3*h = -4*d - 25. Let p = -13 + 11. Sort p, d, y in decreasing order.\nAnswer: y, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 2.1. Let n = q + 4.4. Sort 0.3, n, -2\/5 in ascending order.\nAnswer: -2\/5, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04008 to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -110335 - -2727?\nAnswer: -107608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 913 and 2235563.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s. Let m(k) = 17*k + 1. Give m(c(p)).\nAnswer: -85*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/120 + 2*z**3\/3 - z**2. Let h be m(0). Suppose -756 = -h*p + 2*u, 4*p = u - 0*u + 752. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-510)\/(-1350) + (7\/(-9) - -1). Which is the second biggest value? (a) -5 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuo when three letters picked without replacement from xooxxouhoooxcx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + 2*sqrt(1872) + 5)**2.\nAnswer: 96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -i + 241, 240 = i - 4*r + 1. Calculate the highest common divisor of i and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (10\/(-95) - 38\/(-361))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133.32329 + 160.323523. Let q = m - 27. What is q rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -13. Let l = -4 + u. Let g = 261\/56 + -35\/8. Sort g, l, -2.\nAnswer: -2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-1*sqrt(3)))\/sqrt(5).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 8*f - 13. Let u be x(-9). Sort -3, u, -0.4, -1 in decreasing order.\nAnswer: -0.4, -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 774.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**2\/2 - w - 19. Let b(u) = -u + 1. Determine -b(v) - 4*n(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 153826222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11895\/(-1220)*-4*14. Calculate the greatest common factor of q and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.5537 - 15.6537. Let g be ((-8)\/50)\/((-3)\/(-5)). What is the second biggest value in f, g, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, o: 6}. Give prob of picking 2 o.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let p(a) be the second derivative of -139*a**4\/12 + 145*a + 2. Give c(p(h)).\nAnswer: 278*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 6*o**2 - 2*o - 4. Let h be p(-6). Let s(w) = -14*w**2 + 8*w. Let u(t) = t**2 - t. What is h*u(j) + s(j)?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 15 = 2*u, -4*u - g = -4*g - 21. Suppose f + 4 = u. Let t be ((-1)\/((-2)\/16))\/f. Solve t*m = -m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0 (c) 5 (d) 0.4 (e) -3515\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*f - 1201551, -114*f + 119*f + 3*u - 2002588 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14265306.\nAnswer: 2, 3, 11, 72047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s + 4. Let r be t(0). Suppose 0 = -4*y + 12, g + 3*y = -r*g + 19. Let u be g\/(-10) + 244\/20. Calculate the highest common factor of 48 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 85270, 5 in ascending order.\nAnswer: -5, 5, 85270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/7 - 2346*h**3\/7 + 9406*h**2\/7 - 11766*h\/7 + 4708\/7 = 0. Calculate h.\nAnswer: -1177, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 12) to base 9\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1538, 1536, 1534, 1532?\nAnswer: 1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41677274 divided by 7?\nAnswer: -41677274\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28448 and 42164.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 32 = 3*v, 1250*i - 52 = -5*v + 1252*i. What is the smallest common multiple of 2136 and v?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81877830.\nAnswer: 2, 3, 5, 2729261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-4)\/(-6) - (-3)\/((-9)\/(-190))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, x: 8}. Give prob of picking 1 e and 3 x.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -35, -5 in decreasing order.\nAnswer: -4\/7, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - m**2 + (m + 0*m - 3*m)*(3*m - 8*m + 2*m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 70. Let v(i) = -i**3 + 9*i**2 - 7*i - 3. Determine v(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1080)\/252)\/10 + 3\/((-126)\/(-46)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**3\/4 - 9455*j**2\/2 - 4512095*j - 79693290 = 0.\nAnswer: -1882, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8175, -16344, -24513, -32682?\n\"Answer: -8169*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-163)\/(-4) - 6\/(-24). Let k = i + -25. Solve n + 5*q = -20, -3*q = -8*n + 3*n - k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 8*n**2 + 8*n - 6. Let w be p(-9). Suppose -5*x - w*c = -54, 3*x + 2*c = 2*x + 8. Calculate the highest common divisor of x and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50429211 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-4))\/(-2) - 11 - 17?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 30 = 4*d, -1226*d + 1221*d + 12*g = -1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 3030?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/14))\/f**(-1)*(f*f*f*f**(-2\/37)*f)\/(f*f**3))**(1\/32) assuming f is positive.\nAnswer: f**(1045\/16576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9301 + 0.0699. Suppose 0 = 2*d - 5*h - 37 + 54, 0 = -3*d - 4*h + 32. What is the second biggest value in d, j, 0.023, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -177 + 590 + 0*k + k - 4042 in the form b + m*k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**3 + 184*a**2 - 282*a - 8. Let x(v) = -11*v**3 - 369*v**2 + 541*v + 14. Let i(g) = -4*x(g) - 7*z(g). Let i(o) = 0. Calculate o.\nAnswer: -95, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 9, -99, -3 in decreasing order.\nAnswer: 9, -3, -28, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 290779 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1708767407 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + (-3 + -2 - 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 220460502 + -0.16567.\nAnswer: 220460501.83433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 0, 3*n + 2*m - 1 = 2. Let j(w) = -12*w - 3. Let u be j(-2). Let g be (-6)\/u + 8\/14. Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1041810 and 139974.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3449250 and 1300.\nAnswer: 89680500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z. Let n be q(2). Let o be 2\/n - 3\/12. Solve -3*i = 5*k - 17, 21 = -5*i - o*i + 4*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.9, 5, -2\/3, -72, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145.2 + -145.20659. What is q rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -743677 and 0.3?\nAnswer: -223103.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -99*j**2. Let l(g) = -8*g + 2. What is l(m(z))?\nAnswer: 792*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 8. Suppose 8*x + 2*x - 20 = 0. Solve -x*p + 4*u - q = 0, -3*p - 2*u = -0*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (35\/14)\/((-6)\/12) - -575 is divided by 207.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4\/11, 0, -0.426, 0.3?\nAnswer: -0.426","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 53. Let g be z\/(-6) - (-6)\/9. Solve 4*r = -r + g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -10139?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 223.\nAnswer: 222.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**3 - 204*f**2 + 764*f - 564 = 0?\nAnswer: 1, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - 16*v**2 - 37*v - 6. What is the hundreds digit of h(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(11\/(-8))*((-420)\/(-24))\/(-35)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6282115 is divided by 2527?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -216, -352, -524, -744, -1024, -1376?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 48. Let c(f) = -4*f + 98. Calculate -3*c(k) + 5*p(k).\nAnswer: 2*k - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 4 - (-4)\/(-1). Calculate the smallest common multiple of 9 and ((-87)\/q - 3) + 1\/3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - t**2 - 24*t + 20. Let p be r(5). Put -5, 181, p in increasing order.\nAnswer: -5, p, 181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -311 - -305. Let f(g) = g - 2. Let u(a) = -8*a + 12. Let q(s) = i*f(s) - u(s). Let c(y) = 245*y**2. What is q(c(t))?\nAnswer: 490*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 12\/7 (b) 4 (c) -1\/6 (d) 2 (e) -330 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -351, -699, -1049, -1401?\n\"Answer: -b**2 - 345*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -77.26134 and 0.14?\nAnswer: 77.40134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 14*q - 49. Determine m(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 m when three letters picked without replacement from zmmmmzzzzz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -2*r**7\/21 - 10*r**3\/3 - r - 21. What is the second derivative of f(l) wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1149 - -2229\/2. What is the common denominator of u and 27\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**2 + 4*x**2 - 4*x**2)*(-2*x**2 + 3*x**2 - 3*x**2) + (x**3 - 4 + 4)*(3*x - x + 0*x) to w + u*x**3 + k*x**4 + j*x**2 + h*x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 1. Let m(c) = -c. Let n(h) = -h**2 - 3*h + 6. Let x be n(-3). Suppose 0 = -x*p + 15*p + 9. Give p*j(k) - 2*m(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 20. Let t be -1 - 1*(z + 15). Is 16 a factor of (-15 - 0)*66\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775385 is divided by 110?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 153, 5\/9, 7, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 7, 2\/47 in descending order.\nAnswer: 7, 0.5, 2\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4062088 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3 + 274*n**2 + 6508*n - 6784 = 0.\nAnswer: -106, -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61 - 59 + 26)*(4 - 4 - o) to b + g*o and give g.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 8. Let h = 14 - 11. Suppose 72 = 7*m - h*m. What is the smallest common multiple of q(-6) and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(4\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*d + 3*a, -2*a - 3*a - 15 = 0. Let f = d + 2. Let g = f + 2. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299386569 to the power of 1\/3, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h + 16. Determine n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 5*x**2 + 9*x - 8. What is b(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 669211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81175446.\nAnswer: 2, 3, 11, 45553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10191.61 seconds to milliseconds.\nAnswer: 10191610","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 8957 + -8955. Sort -37\/5, k, 141\/2 in increasing order.\nAnswer: -37\/5, k, 141\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 671*g - 20370 - 9154 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 260?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 182 = 10*p. Suppose o = -p*o + 3090. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 7 - 7) + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -c + 644, -5*w + c + 792 = -c. Suppose -4*j = -2*j + w. What is the lowest common multiple of 10 and 4\/(-6) + j\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - 9\/(-1 + -2))*25 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -464, -1046, -1798, -2660, -3572?\nAnswer: -4474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071173457 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 38*u. Let g be d(2). Let i(f) = g + 7*f - 76. Let j(a) = -10*a**2. Give j(i(s)).\nAnswer: -490*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from oxvavop.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let r(g) = 11*g + 2532. Determine m(r(b)).\nAnswer: 11*b + 2532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2. Let o(n) = 4*n**2 + 3. Let i(q) = -10*q**2 + 1. Let k(l) = -l**2 + 1. Let j(t) = i(t) - 5*k(t). Let p(f) = 3*j(f) + 4*o(f). Give p(y(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 71755 (base 8) to base 14\nAnswer: ab5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167116331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3705166 and 466.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -516072 times 2.1?\nAnswer: -1083751.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -38*(-1)\/((-8)\/(-4)). Suppose 1 = 2*i + r. Suppose 0*c - 18 = 2*c. Is c at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 6*p - 44. Let c = -16 + 16. Let o be (c - 1)\/(4\/(-44)). What is the highest common factor of o and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - a + 7 + 17, q - a - 12 = 0. Let r be 16\/3 + (-3)\/q. What is the third derivative of 0*n**2 - 14*n**r + 14*n**2 + 45*n - 45*n wrt n?\nAnswer: -840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456427830 to the power of 1\/2, to the nearest integer?\nAnswer: 21364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2*k**3 + 3*k**2\/2 + 11*k - 281. Give t(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w - 2. Let c be u(1). Suppose -94 + 294 = c*f. What is the remainder when f is divided by (91\/21)\/((-6)\/(-18))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 1. Let y be n(-3). Suppose -y*i - 50 = -0*i. Is -48*(-3 - i\/4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*-5*20*135\/450.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w - 3*h + 9 = 0, 2*h + 2 = 2*w. Suppose -w = -3*u - 12. Which is bigger: u or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1763207 or -37027337\/21?\nAnswer: -37027337\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*t - 6*l - 58, -t + 3*l = -0*l + 337 - 342 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2809*q**2 + 1260*q**2 + 1300*q**2.\nAnswer: -249*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*z + 2*r = 633*z - 5, 15 = -z - 4*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.36 - -6.36. Let k = 3 - i. Put 22, 4, k, -2\/7 in decreasing order.\nAnswer: 22, 4, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17664 and 46368?\nAnswer: 370944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.945 + 12.945. Which is the nearest to 0.3? (a) 11\/2 (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b - 1. Let j(f) = -12*f - 4. Calculate 4*j(r) - 11*t(r).\nAnswer: -4*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(7\/3))\/(h*h**5)*(h\/(h**0*h))\/((h*h\/(h\/(h*((h\/(h\/(h\/(h\/(h**(-6\/7)\/h)))))\/h)\/h)))\/h))**(-21\/4) assuming h is positive.\nAnswer: h**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -3203302023?\nAnswer: 3203302021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12041958 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2 - -5) - -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 7*d**2)*(-19*d**3 - 14*d**3 - 27*d**3).\nAnswer: -420*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/30)\/3*777\/4662\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*g**3*q**2*w**3 + 11*g**3*q**2*w**2 + 2*g**3*q**2 - 3*g**3*w**2 + 97*g**2*q**2*w**3 - 3*g*q**2*w + 2*q**2 wrt w.\nAnswer: 132*g**3*q**2 + 582*g**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52\/17*z**2 + 48\/17 - 2\/17*z**3 - 98\/17*z.\nAnswer: -2*(z - 24)*(z - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54141 (base 6) in base 7?\nAnswer: -30406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8 + 1 + 5 - 19*q.\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103234 (base 5) to base 14.\nAnswer: -142d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.00434 - 10. Round h to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40486506 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/14)\/((56\/(-16))\/(-7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 19*x**3 - 22*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t + f, -3*f + 0 = t - 3. Suppose 32*u - 1696 = -11*u - 277. Sort t, -3, u.\nAnswer: -3, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/11)\/(p*p**(11\/2)\/p) assuming p is positive.\nAnswer: p**(-125\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 545, 807, 1069, 1331?\nAnswer: 1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4302 and 863985.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(6\/15)*(-12)\/15. Solve 5*v - g = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3400 divided by 340?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.1? (a) 114.7 (b) 2 (c) 1\/7 (d) 2\/11 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/7)\/(4\/(-42)). Suppose -x - 9 = -3*a. Calculate the least common multiple of a and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4856 + -29071\/6. Find the common denominator of r and 35\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (207\/27)\/((-1)\/(-9)*1). Suppose -s = 3*k - 881 + l, 0 = -3*k + 5*s + 818. What is the remainder when k is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39492 or 45285?\nAnswer: 45285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y**3 + 123 - 43 + 43*y**3 - 80.\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4783834?\nAnswer: 2, 11, 17, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*w = 22, -2*y + 11 = -4*y - 5*w. Let v(j) = j**3 - 6*j**2 - 4*j - 2. Let d be v(y). Let f be (d\/38)\/((-2)\/8). Sort 4, f, -1 in increasing order.\nAnswer: f, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34471 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 116 - -a13?\nAnswer: b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 281220240 and 11717510.\nAnswer: 281220240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 48 = -d. Let a be -4*(-3)\/d*10. Solve -a*p - 22 = -3*k, -2*k + 3*p = 4*p - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:36 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 36*g**2 - 296*g - 481. Give q(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 151*a**4 + 131*a**4 - 111*a**4 + (2*a**2 - 3*a + 3*a)*(a - a - a**2) + (2*a**3 - 4*a**3 + 0*a**3)*(-4*a + 4*a + a).\nAnswer: 167*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (4 - -2)) + (9 - -3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 + 21*b**3 - 2229 + 0*b**2 + 2227 + b to the form d*b**2 + n + q*b + w*b**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4 + (-14)\/(-4). Let v(a) = -1. Let q(i) be the second derivative of i**3\/6 + 2*i**2 + i. Calculate o*q(c) + 9*v(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 49*i**2 + 13*i + 22. Let j be c(-1). What is the highest common divisor of 15602 and j?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 30 = 2*k. Let o = k - -30. Let j(g) = g - 1. Let s(q) = -4*q + 8. Determine o*s(r) - 6*j(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -31*i. Let n be b(-1). Solve 2*x = -4*p + 20, -3*x = -7*x - 5*p + n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82986103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u + 241 + 3*u**3 - u**3 - 240 + (-2 + 2 - 4*u)*(-2*u**2 + 4*u - 4*u).\nAnswer: 10*u**3 - 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-3 + 3) - -707. Suppose -a = -4*l + 614. What is l rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/450 + -12589\/4950. What is the common denominator of u and -26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 866915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009283587 rounded to seven dps?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 12, 72, 168, 306, 492, 732?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -926 - -958. Calculate the remainder when 350 is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2289 and -2\/2282787?\nAnswer: 15979509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 + 772\/5. Which is the third biggest value? (a) 4 (b) -5 (c) k (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94577305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.98 - 3. Let y = -3.02 - o. Sort y, 8, 0.1 in increasing order.\nAnswer: y, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*3*(4\/(-3) + 2). Suppose 5*v - v = -p. Let a be (-1 + v - -2)*-1. Let c(y) = y**3 - y + 15. Give c(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87\/190 + -4\/95. Let v = 0.43 - 0.03. What is the nearest to 1\/3 in -2\/15, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35982 is divided by 548.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 22. Suppose 2*u + z - 33 = 0, -4*u - 4*z + 5*z + 75 = 0. Let i be (-9 + 1)*(-3)\/u. What is the smallest value in 2\/31, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728369 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: Let l be (-2)\/(18\/12 + -1). Is -2*3181\/4*(2 + l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.1. Let k = 42086 - 547120\/13. What is the nearest to g in 2, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -19738366.1?\nAnswer: -394767.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 3 + 3. Let z(x) = -33*x**2 + 105*x**2 - 36*x**2 - 42*x**2. What is z(d(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5645.378 meters in kilometers?\nAnswer: 5.645378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*u - 14, -2*u - 3*v + 0*v - 11 = 0. Let j = 84 - 47. Suppose j = -4*f + 9. Put u, 4, f in descending order.\nAnswer: 4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/7 + 387*z**2\/7 - 35640*z\/7 - 352836\/7.\nAnswer: -(z - 198)**2*(z + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -63354?\nAnswer: 63352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 6*b**2 + 2. Let h be l(-6). Solve -h*g = 4*f, -f = g - 3*g + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108349*q**3 + 54273*q**3 + 54324*q**3.\nAnswer: 248*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 22*d**2 - d + 12. Calculate h(22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101*x**3 + 46*x**3 - 44*x**3 + 3*x**3 + 3*x**3 - 2*x**3 + (-2 - 2*x**3 + 2)*(0 - 3 + 1).\nAnswer: -91*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -538332, -2153339, -4845024, -8613387, -13458428, -19380147?\n\"Answer: -538339*i**2 + 10*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a decade?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*a**3 + 577*a**2 - 577*a**2)*(-2*a - 3 + 3 + (-3*a + 3*a + 2*a)*(0 + 3 + 1)).\nAnswer: -198*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 6358912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((80\/280)\/(8\/(-84)))\/(3\/(-38))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 = -4*s + s, 6 = -s - 4*v. Suppose -s*d + 5*d = 12. Let w = -1 + 2. Solve 4*k + l = 5, d*k + 3*l + 0 + w = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 12*u**2 + 0*u**4 + 1\/60*u**5 + 0*u + 0 - 8\/3*u**3. Find the first derivative of s(q) wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187 + -183. Suppose x*m - 1303 = -a, -2*a - 143 = -m + 194. Is 35 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((1*sqrt(1331) - sqrt(1331)) + 3 + sqrt(1331) - (sqrt(66)\/(sqrt(18)\/sqrt(3)) + sqrt(11))*-3))**2.\nAnswer: 136*sqrt(11) + 3195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -844, 78, -47 in ascending order.\nAnswer: -844, -47, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 39. Let w be h(-16). Suppose -a + 3 = -w. Suppose 3*z - 12 = -4*r, -6*r + a = 3*z - r. Solve -v - v = -6, z*k = -5*v + 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -7 + 8 - 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i + 2. What is the smallest common multiple of 18 and i\/(-3) + 40\/3?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54015 by 5.\nAnswer: 10803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3508 - 3504. What is the smallest common multiple of r and 1700?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/10)\/((-10)\/(-100)). Let h = -4 - -6. What is the third biggest value in m, -1\/4, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2570.000001511 - -2570. What is i rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 17*y - 117. Let f(h) = h**3 + 2*h**2 + 8. Let c be f(0). What is the remainder when 57 is divided by l(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 10:49 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let a be m(0). Suppose -d + a = -2. Let f(g) = 28*g - 1. Let p be f(d). What is the highest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 290 - 468. Let x = -840685.9929 - -840864. Let f = k + x. What is f rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 0.1 (b) -5 (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 - -412. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, 63, -21\/2, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37873\/3246 - -1\/1082. Find the common denominator of i and 55\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-4)\/(8\/10). Suppose -v*j + 0 = -10. Let s = 8 + j. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 459*b = -462*b - 25866, 0 = 5*b + 35. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + -0.22. Let b = y - -0.1. What is the nearest to -1\/3 in -3, b, -8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -6 + 26. Let l be 1 + m\/((-10)\/4). Which is smaller: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1267 divide 29960792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 0*f)*(f + f - f)*(664*f**2 + 485 - 485).\nAnswer: -664*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 299, -0.3, 2, -1166, 0, -0.5?\nAnswer: -1166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 + 5*b**2 - 4*b - 7. Let q(t) = -138*t + 400*t + 5*t**3 - 8*t**2 - 131*t + 11 - 125*t. Calculate -8*l(j) - 5*q(j).\nAnswer: -j**3 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 460 or 49?\nAnswer: 460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + 0 + sqrt(2448))*-5 + -2 + -6*(-1 + sqrt(2448) + sqrt(2448))*5)**2.\nAnswer: -20280*sqrt(17) + 10342969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 19. Solve b - f = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249028078 to the power of 1\/3, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 14*i + 1. Let u(y) = -y**2 + 13*y - 2. Let z(o) = 5*q(o) + 6*u(o). What is the units digit of z(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 214.55 or 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 2. Let h = 21594 - 21585. Suppose 0 = 3*o + 2*o + 15. Which is the closest to -1\/3? (a) h (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -324480058*l*w**3 - 215*w**3 + w**2 + 59115 wrt l.\nAnswer: -324480058*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2573176\/63115 + -530\/13. Let q = j - -131077\/19420. Let s = q - 7. What is the closest to 1 in -0.1, s, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*((-176)\/28)\/2. Let t be (4 + b)*(-3)\/72. Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -3e3051?\nAnswer: -3e3055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -16, -97?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 489 = 18*r + 3*n, -4*r + 963 = n. Solve 5*g - 215 + r = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:37 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271185, -270843, -270501, -270159, -269817?\nAnswer: -269475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171 and 349647.\nAnswer: 19929879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -5.7. Let t = -7.01 + 6.91. Sort -0.6, t, -4, r in descending order.\nAnswer: r, t, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*p - 2*d, -70*p - 67 = -75*p - 2*d. Let w be -3*(0 + 1)*-1. Suppose w*a - 6*a = -30. What is the greatest common divisor of a and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 399340 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121590 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 18 + 16 - 2*q + (1 - 2 + 3)*(q + 3*q - q) in the form m + l*q and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 3*z + 2*i + 12, -i = -3*z + 10. Solve -30 = -z*l - 5*q + 10, l = q + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 223592.94us?\nAnswer: 0.00000258788125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0 - 3)\/(56\/(-672)). Solve -67*t + m = -61*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.96 + -0.04. Which is the nearest to -1? (a) i (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123 + -14?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in years?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**8\/1344 - v**7\/420 + v**5\/120 + v**4\/96 + 3*v**2\/2 - 3. Let k(t) be the second derivative of c(t). Factor k(g).\nAnswer: -g*(g - 1)*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17538 + -16061. Calculate the remainder when o is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7819538*o**4*y - 9*y - 442362 wrt o?\nAnswer: -31278152*o**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/77 + (-34)\/187. Find r, given that 0 + 4\/7*r**3 + 0*r + j*r**4 + 2\/7*r**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.0035 * 22\nAnswer: -22.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2129099.9873 + -2129308. Let s = -208 - u. What is s rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785233 less than or equal to 785233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4621*l - 159 = 4616*l + 7*x, -132 = -4*l + 8*x for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 89 = -4*c + 299, 0 = -q - 2. Let p = -792 + 801. Suppose -p*u = -438 + 132. What is the highest common factor of c and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.816763 nanometers in centimeters?\nAnswer: 0.0000008816763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*k - 90, 0 = 2*k + k + 3. Let v = -91 - i. Factor -94 + v*x**2 - 3*x**2 - x**3 + 93 + x.\nAnswer: -(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26108305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 1 (c) 4\/9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -587*y**2 + 5*y + 2. Let c(p) = -294*p**2 + 2*p + 1. Let a(o) = -5*c(o) + 2*q(o). Let m be a(1). Suppose -g + 962 = m. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vph when three letters picked without replacement from hpbfvpk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (10 - 3 - (14 + -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x + 39*x - 80 = 0. Let h = x - 39. Sort -2, h, -1.\nAnswer: -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**5\/60 + 7*z**2. Let p(i) = 2*i**2 - 3. Let m(x) = 7*x**2 - 13. Let b(a) = -6*m(a) + 26*p(a). What is o(b(r))?\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 7*z - 15. Let h(t) = 6*t**2 - 22*t - 44. Let u(f) = 6*h(f) - 17*j(f). Give u(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.044, -0.3, -1\/8?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (38\/(-57))\/(9\/162).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 41*i**2 - 18*i**2 - 25*i**2. Let a(m) be the first derivative of 2*m**2 + 97. Calculate r(a(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 327200 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.0000016. Round g to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100 - -1000110000001111?\nAnswer: 1000110001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4, -6\/131.\nAnswer: -6\/131, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 times -35.11364?\nAnswer: 133.431832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17945?\nAnswer: 5, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2\/5, 86\/3, -1\/5, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x + x - 5*x + (-3 + 4 - 3)*(4*x + 3*x - 2*x)*(14 - 5 + 2).\nAnswer: -111*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 8. Let q(d) = d**2 - 3*d - 58. Let h(i) = q(i) + t(i). Factor h(m).\nAnswer: (m - 11)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2. Let b(f) = -22*f**2 - 26*f**2 + 55*f**2. Determine z(b(q)).\nAnswer: 294*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*-3*2355\/8478.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k = 2. Suppose 82 = -4*h + k*n, 12 + 17 = -2*h - 3*n. Let f = h - -44. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxxqxxxxxx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o + 3. Let n(l) = -2*l**2 - 26*l - 15. Let c be n(-12). Suppose 3*a + 3*v - 9 = c, 5*a = v + 36. What is the remainder when h(3) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001469 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 = -183*c - 7201 + 661 - 5437 for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -21292 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 5. Let c be u(-5). Let t = 2 + c. Suppose 3*l + 13 = -t*j - 2, 2*l + 10 = 2*j. Solve -3*d + 21 - 9 = j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 77, 61, 39, 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1 + 6 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4*l - 90 = 0. Let w be l\/(-9) + -1*3. Let s = -288\/5 + 57. Which is the biggest value? (a) w (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 3828?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 13335*z - 83 = -13336*z, 9*x - 8*x = -24*z - 115 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -201 + 3?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363851 = -2*c - 2*c - 11*q, -90986 = -c + 5*q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtititoittoittti. What is prob of picking 1 v, 1 o, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 6:30 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 37?\nAnswer: 28\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/6*450\/2925*(-52)\/(-8)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 6, 0, 5.\nAnswer: -5, -4, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*g = 6, 56*a = 115*a - 54*a + 7*g - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/5)\/(1\/(-10)). Let l = -48 - -56. What is the highest common factor of l and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 58 and 197925?\nAnswer: 197867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 23 = 3*f, -x = 3*x + 4*f - 84. Let r = x + -16. Suppose -j - 3*s = -66, -r*s = -3*j - 0*s + 146. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -4*v + 126. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(-5)\/(-2)*62\/1550.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1259 = -4*m + 5*d, -6*m + 634 = -4*m - 4*d. Let a = -311 + m. What is the closest to a in 1, -1\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/3 - 2996*o**3\/3 + 3621198*o**2 - 9582930196*o\/3 + 2657191499599\/3 = 0.\nAnswer: -5369, 791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13d3 - -672?\nAnswer: 1a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 101254\/(-4)*(28 + -50 + 16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((5 - (-10 - -13)) + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923239571.\nAnswer: 673, 1371827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34227 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77382.\nAnswer: 2, 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:17 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 25*i + 5. Let g be c(-10). What is the thousands digit of 11\/g - (8739\/(-5) - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 0.7 (c) -6 (d) -1 (e) -1.96 (f) 9 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.59 (b) -51 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3276\/(-637))\/((-4)\/10*(-10)\/(-14))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + u)*(-8*u**2 - 2*u**2 - 23*u**2).\nAnswer: 33*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405064.\nAnswer: 2, 11, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 6*q + 8. Let v(b) be the third derivative of -b**4\/24 + b**3\/6 - 4*b**2. Let o = 2 + -2. Let c be -1 + 2 + o\/2. Give c*w(g) - 6*v(g).\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24.205 - -4169.72393\nAnswer: 4193.92893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -270 - -270. Is (-2 - b)\/(80\/(-616840)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 24. Let f be w(-6). Let a be -3 + (-3)\/2 + f\/(-8). Let h be 5\/a - 187\/(-51). Solve -j - 11 = 3*t, 2*j - 5*j - 11 = -h*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6625, -6620, -6613, -6604?\n\"Answer: y**2 + 2*y - 6628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = 0, -243 = -b - 2*x - x. Calculate the smallest common multiple of b and (18 + 1 + -3 - (316 - 312)) + 2.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -36*g - 505. Calculate the remainder when d(-46) is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*(-11)\/(-275)*(-4)\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 1. Let w be g(1). Let s = 4.358 - -0.612. Let y = 0.03 + s. What is the smallest value in 1, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/(((-27)\/30)\/(-9)). Suppose 5*u - 37 = -4*f, -4*u - s*f + 16 = -19. Solve u*g + 5*n = 20, -g + n - 7 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36971597.\nAnswer: 13, 2843969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -22956924 and -114784613\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1279*f + 45955. Give k(36).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 381\/2 - 200. Which is smaller: d or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000482607 rounded to 7 decimal places?\nAnswer: -0.0000483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.189350049 rounded to 4 decimal places?\nAnswer: 8.1894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1002522 + 5?\nAnswer: 1002530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 10*s = -16, 5*q - 23 = 4*s - 64 + 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3524886 and 7254?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/5, -2, 1\/12, 15\/539, -3 in descending order.\nAnswer: 3\/5, 1\/12, 15\/539, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 4*q + 2*q)*((-2 + 2*q + 2)*(6 + 0 - 4) + 2 - q + 1 + 0) as c*q + x*q**2 + m and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - -d7?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 + n**4 + n**4)*((0 + 3 - 2)*(0*n - 3*n + 5*n) + 2*n + 1 - 1 - n - n + n) - 115*n**5 + 66*n**5 - 159*n**5.\nAnswer: -202*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.909 + -0.091. Which is the closest to -2\/5? (a) 2 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1079 > -0.037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jllcljcpjllpjjjlpp. Give prob of picking 2 p and 2 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:08 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1203, -1199, -1195, -1191, -1187, -1183?\n\"Answer: 4*z - 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.19 + -21. Let h = v - 0.36. What is h rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.8 times -2\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14426242877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*h = -i + 12, 2*i - 12 = -4*h. Suppose -u + i = u. Let s be 4\/(-4)*(u - -2). Put s, 4, 3 in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.2 + 29.2. Let g be 2\/(-6) - (-40)\/(-15). What is the closest to -0.1 in g, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197 divided by -719\nAnswer: 197\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.03, -87, 0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488638 is divided by 418.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**2*q**3*r + 7*m**2*q**2*r**2 + 53*m**2*q*r + 82258*m*q**3*r**2 + 2*m*r**2 + q**2 wrt q.\nAnswer: -12*m**2*r + 493548*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 7) in base 14?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**3 + 6*s**2 - 6*s - 6. Let r(u) = 9*u**3 - 11*u**2 + 11*u + 11. Let b = 8 + -2. Give b*r(c) + 11*d(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 18 + 102. Let a = i + 93. Suppose -2 = -2*d, 0 = 5*k + 3*d - d - 172. What is the remainder when a is divided by k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-49)*(p\/(p*(p*p\/p**3*p)\/p))\/(p*p*p**(-4\/3)))\/((p**(-1\/11)*p\/(p*p*p**(3\/2))*p*p)\/(p**(-3\/2)*p**1)) assuming p is positive.\nAnswer: p**(1631\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(12)\/sqrt(16) + sqrt(12)*4))**2.\nAnswer: 7803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.394 + -0.124. Let h = y + -0.47. Which is the closest to -2? (a) h (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 23 = -5. Let j be 3\/9 - (-24)\/b. Suppose -8*s = -j*s - 25. Solve -s*x = -3 - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10*o + 5. Let f be c(-9). Let q be -1 + f - (-7 + (15 - 5)). Calculate the greatest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5903115 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*154\/(-11)*(-3)\/9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a tonne in kilograms?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 13 = -3*a - 2*w, -5*a = -w - 42. Let j(k) = -2*k**2 - 3*k + 4. Let o be j(-3). Let l = 0 - o. What is the remainder when a is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.6201\nAnswer: -0.18603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-2*6 - -3*(sqrt(187) - -2*sqrt(187)))\/((sqrt(275)*2*2 - sqrt(275))*2).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 5*u - 20, u - 4*u = -12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 - -1.98. Let w = -0.08 + m. Which is the second biggest value? (a) w (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43193508 divided by 14397836.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 7*j = 2*t - 170, -2 = 2*j. What is the greatest common factor of 1134 and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 25.44. Let j = d - -0.43999834. Round j to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 (base 3) in base 5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**3\/3 + 15*x**2\/2 + 26*x - 2058. Calculate m(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaeaaeeaaaaaaeaaaaaa.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(9\/648*-1). Suppose 7*s + i = 13*s. Which is bigger: s or 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 5*t**3\/6 - 29*t**2\/2 - 26*t. Give v(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8342050?\nAnswer: 2, 5, 166841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 4*w**3 + 17 - 5*w**2 + 2*w**3 to n + z*w**2 + f*w**3 + v*w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 5742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -2. Let t = 19.58 - 0.08. Let k = t - 19. Is v > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + (-40)\/(-15). Suppose 2*r = -5*a + 2, 4*r - 4*a + h*a - 26 = 0. Let m be (3\/(-2))\/(r\/(-8)). Solve c + 15 = m*w, 3*c + 37 = 4*w + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 5:13 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-24))\/(62\/(-93)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4331 is divided by (12 - (19 + -6))*-197?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 + 1128. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*q + 5*c, -q - c = -3*q + 17. Solve -4*i - 16 = 2*s, -5*s = -2*i + i + q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61563619*m + 268721199 wrt m.\nAnswer: 61563619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -6. Suppose -26 = -5*h + 19. Suppose -18 = h*u - 12*u. Calculate the highest common factor of s and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*h + 37134, 3*d - 15*h = -17*h + 37125. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2*z + 6*i, 5*z + 4*i + 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g*q*x - 2*g*q - 2*g*x + 3*g - 4930*q*x + 8*q - 1856*x + 4 wrt q.\nAnswer: -g*x - 2*g - 4930*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -614 - -1852. Let j = -12451\/10 + i. Find the common denominator of j and 37\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*m**2 - 8*m**2 + m**2 in the form o*m**2 + a*m + t and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-2)\/4). Suppose 0 = -4*u - 0*u - 16. Put 5, v, u in descending order.\nAnswer: 5, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -41, 1, 0, 1\/1774 in decreasing order.\nAnswer: 3, 1, 1\/1774, 0, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*u + 9 - 33 = 286*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + y + 19 = -11, 5*y = -3*b - 10. Suppose b*n - n = -64. Let g be 4\/(2 - -54)*n\/12. What is the smallest value in g, 0.05, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/16 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 5 (c) -2\/11 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.5, -2, 32, 15, -260, 20, -2\/17?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 66 = -4*u, -a - 3*u - 10 = 12. Let q = 36 + a. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7*i = 153. Suppose 2*f + 5*m - 13 = -0*m, -2*f - 22 = -2*m. Let p = i + f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17576 and 10985.\nAnswer: 87880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/27*3)\/((-6)\/(-18))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -1\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -2)*4 + sqrt(180) + -4*sqrt(180) + 0)**2*-5.\nAnswer: -1220 + 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202508\/20*(-40)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q*q*q**(-6))\/q))*q**21)**33 assuming q is positive.\nAnswer: q**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -224b9?\nAnswer: -224c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 27. Let i = 16.1 - v. Sort i, -1, -5\/2 in decreasing order.\nAnswer: i, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - q + 131 = 0, 91*w - 86*w = 5*q + 165. Which is smaller: w or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51*(-796)\/233427)\/((-4)\/874)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117263667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 8. Suppose 9*j = 4*q + 7*j + 2, 13*q + 32 = -2*j. What is the nearest to 2 in 15, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a = -17*a + 100. Let x be (-1)\/((2 - -3)\/a). Solve p - 11 = 4*s + 10, p + x*s + 19 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5\/7 + 612*h**4\/7 - 634*h**3\/7 - 6156*h**2\/7 - 4912*h\/7 = 0?\nAnswer: -307, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 9 + 4)*(b + 3*b - 3*b + (3*b - 4*b + 4*b)*(1 + 0 - 3)) as x*b + y and give x.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90 and -1160050.\nAnswer: -1159960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.2 + -3.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2 + 1117832*w + 124128636 = 0. What is w?\nAnswer: -111, 279569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 3 - 2 + f)*((4406*f - 5376*f + 6737*f)*(f**2 - f**2 - f**2) + (f**2 - f + f)*(-2*f + 0*f + f)) as u + j*f**2 + c*f**3 + x*f**4 + a*f and give x.\nAnswer: -5768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uge when three letters picked without replacement from {g: 2, u: 1, e: 2, q: 1, c: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-75) - (-12)\/10 - (4 - 3)*0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)*(j\/j**(4\/7)*j*j)\/j)**(-12\/7)*(j**1)**(-25)\/((j**(2\/5)\/j*j)\/j)**(-23) assuming j is positive.\nAnswer: j**(-7166\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*w + 26827 = 0, 51*o + 2*w - 13416 = 49*o. What is the highest common factor of o and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 1. Let m(g) = 2*g + 2. Let h(q) = -2*i(q) - m(q). Let v(x) = -x + x + 2*x**2. What is h(v(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9050, 73182, 247292, 586370, 1145406?\nAnswer: 1979390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a7b - -6908?\nAnswer: 7585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-4355.\nAnswer: -21775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a + 378*a = -3238 - 2838 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 81 = 95. Suppose q - 5 = -2*c. Find the common denominator of (0 - c) + 21*40\/(-192) and 55\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(6\/(-51)) - (-9)\/(-3). Let m be ((-4)\/(-10))\/((-1)\/l). Calculate the remainder when 41 is divided by (-103)\/(-5) - m\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -1\/16, -4, -2\/351, -22\/13?\nAnswer: -2\/351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -21*s**4 - 48*s**3 - 6*s**2 + 48*s + 42. Let n(z) = 3*z**4 + 7*z**3 + z**2 - 7*z - 6. Let o(p) = 15*n(p) + 2*w(p). Suppose o(c) = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16353 and 279?\nAnswer: 506943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6282 and 10470.\nAnswer: 31410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 3)*(13*x + 120*x**2 - 28*x - 2 + 17*x).\nAnswer: 720*x**2 + 12*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p = 5*o - 505, 0 = -2*p - 2*o - 1022. Let l be 7\/(490\/p) + (-4)\/(-14). Let i be 51\/9 - (-11 - l). Are 1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5 - 1321*r**4 - 37643*r**3 - 174619*r**2 + 807142*r - 593560 = 0. Calculate r.\nAnswer: -20, -11, 1, 2, 1349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.0715l in millilitres?\nAnswer: 438071.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9878 - 9193. What are the prime factors of g?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*x + 193*x + 104*x + 130*x - 8*x in the form m*x + s and give m.\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ippipipieoh. Give prob of sequence pi.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 65 = -5. Let i(m) = -9*m**3 - 4*m - 8. Let u be ((-1)\/2)\/(5\/(-60)). Let f(g) = -8*g**3 - 4*g - 7. Give u*i(b) + y*f(b).\nAnswer: 2*b**3 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116357 is divided by 111374?\nAnswer: 4983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*d**2 + 6\/7*d**4 - 2\/7*d**3 + 0*d + 0.\nAnswer: 2*d**2*(d - 1)*(3*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -268 * 769906.\nAnswer: -206334808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1349\nAnswer: -5\/1349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126180 and 32530.\nAnswer: 410463540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 0 - (-4 - -1 - -2) - (1496 + -1457).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 190*j**4\/3 + 85*j**2\/2 + 131*j. Find the first derivative of f(y) wrt y.\nAnswer: 1520*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3314, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 9. Let f be b(-6). Let r(g) = 5*g - 147. Let v be r(30). Let p = v - f. Sort 3, 1, p in ascending order.\nAnswer: p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 3*u + 2*u + 17*u - 26*u - 57*u + 0*u + 3*u - 2*u + (-u + 0*u + 3*u)*(-3 - 1 + 5) + (4*u - 3*u + 0*u)*(-4 + 1 + 1) + (0 - 2 + 4)*(3*u - 2*u - 2*u).\nAnswer: -69*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufffffuuuu. Give prob of picking 2 f and 1 u.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 17, l: 3}. Give prob of sequence lbbl.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*n - n + 121699, 3*n + 4*l - 91260 = 0. What is the second derivative of -21 - 133*y**5 - 30424*y**3 + n*y**3 + 2*y wrt y?\nAnswer: -2660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:12 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-2 + 5)*(-12 - (-1320)\/108).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Suppose -1 - i = -2*j, -5*l + j = 11. What is l rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/9 in -1\/4, -14\/31, -18\/41?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - s - 2. Suppose -5*f + 17 - 41 = 4*t, 5*f + 16 = 4*t. Let h be c(t). Is h != 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 9*f**2 + 9*f + 10. Let p be t(-8). Suppose 2*b - 5*x = -0*b - 59, -p*b - 4*x = 86. Is b > -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 40, 80, 140, 226, 344, 500?\n\"Answer: a**3 + a**2 + 16*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-14)\/(-8))*3\/3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 1235?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a micrometer in nanometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5106 + 5107. What is the closest to 29 in 2\/3, -4, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131\/4 - -2219\/68. Put 0.4, 3, -1\/3, k in decreasing order.\nAnswer: 3, 0.4, k, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.0174989 to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*12\/144)\/(3\/33*1)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 974 + -949.54. Let g = -15.5 + w. What is g rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, 4, 22, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*d - 19 = 0, 3*m - d - d = 22. Find the third derivative of 4*r**m + r**2 + 0*r**2 + 3*r**4 - 8*r**2 wrt r.\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by ((-228)\/190)\/(4\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**22)\/(g*g**(-19)*g) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Suppose -j + 3*j + 4 = 0. Let z = 0.16 - 0.06. Which is the nearest to j? (a) z (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 <= -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5330 and 260.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007222 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, c: 10, i: 3}. Give prob of sequence cncc.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (4 + sqrt(304) + (sqrt(304) + 0 - sqrt(304))**2 + sqrt(304))) + (-2*(-4 + sqrt(304)))**2.\nAnswer: -132*sqrt(19) + 1276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, p: 4, c: 1, o: 5}. What is prob of picking 1 o and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/7 - 27740*r**2\/7 - 221824*r\/7 - 443584\/7 = 0?\nAnswer: -13862, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231259, 231257, 231255, 231253, 231251, 231249?\nAnswer: 231247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146467?\nAnswer: 149, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -387237*k**2 - 5*k + 2320559 wrt k?\nAnswer: -774474*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2074 and 14516\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 44*y + 38 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 56*y**2 + 4*y - 5. Is u(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 - -4. Suppose 2*a + 4*x = 18, 2*a + x + 0*x = 9. What is the nearest to -2\/5 in a, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122170156 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*5 - (sqrt(11) + sqrt(88)\/(sqrt(32)\/sqrt(4) + sqrt(8))) - ((sqrt(99) - (sqrt(99) + 0)**2)*-2 - sqrt(99)).\nAnswer: -198 + 55*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 5*q, 2*q = 6*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - x + 10)*(-9 - 2*x + 9)*(-4 - 2 + 2)*(-5 + 5 + 5*x**2) to the form m*x**4 + v*x**3 + f*x**2 + a*x + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 - 248*i + 417. Give r(-43).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a**3\/3 - 302*a**2\/3 - 550*a\/3 - 52\/3 = 0.\nAnswer: -13, -2, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4266244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 divide 31507277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 22 = -4*h - 8, 0 = -3*h - 4*s + 3. Suppose 4 + h = 3*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37538*p**2\/7 + 31784*p\/7 + 6728\/7 = 0. What is p?\nAnswer: -58\/137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 64 + 21 - 11*q + 13*q as u + w*q and give u.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -205*n + 9*n**2 - 5040 - 13*n**2 - 87*n + 0*n**2.\nAnswer: -4*(n + 28)*(n + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908709 is divided by 90.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31340544 to the nearest integer?\nAnswer: 5598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145890307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879334665?\nAnswer: 5, 13, 61, 473981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2119, 392\/177, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 + 1084*g\/11 + 6432\/11.\nAnswer: 2*(g + 6)*(g + 536)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/15005 + -1425467\/60020. Let j = -722941\/110 - -13143\/2. Find the common denominator of j and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 0*f + 6*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*h - 279*h = -32*h + 270*h - 16100 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -0.1 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 14. What is the remainder when 33 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8. Suppose 2*h - 15 - 33 = q. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1069574 = 254*t - 232*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -0.2 (c) 3\/32 (d) -0.4 (e) 0 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152698 - -297789. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7857 is divided by 186.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vugltgpvgptput. What is prob of sequence tv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + 22*d - 10. Let m be a(5). Let c = -5 - -21. Let l be ((-12)\/c)\/((-2)\/24). Solve l = -3*s + 3*b, m*s + 5*b - 9 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + 4*sqrt(66)\/sqrt(2))\/(sqrt(36)\/(sqrt(12)*-1 - sqrt(12))) + 2*sqrt(1584) + -5 + -5)**2.\nAnswer: -280*sqrt(11) + 2256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45406 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -3131651?\nAnswer: -21\/3131651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -23438 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67532*y**6 - 15*y**2 - 899*y + 1 wrt y?\nAnswer: -8103840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2026 - 551. Let x = a + -637. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*v + 552797721*k**2*v - 41*k*v + 19*k + 2*v - 116910 wrt k?\nAnswer: -12*k*v + 1105595442*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*q + 4 + 0*q - 5*q + 4*q + (-q + 2*q - 2*q)*(1 + 3 - 6) + q + 3 - 3 + 2 + 2*q - 2)*(0 + 0 + q)*(-1 + 1 + q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 7:29 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -26*a + 3601. Calculate q(138).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 at least as big as 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**8\/112 - 6*t**7\/35 + 21*t**6\/40 + 49*t**5\/10 - 2*t**2 - 8*t. Factor q(l).\nAnswer: 3*l**2*(l - 7)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2693, 1, 0, -269 in ascending order.\nAnswer: -2693, -269, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c - 3429*c**3 + 24*c - 48*c + 9*c.\nAnswer: -3429*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27*-56614\nAnswer: 1528578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 62 = 2*z + 21, 5*z - h = 45. Let q(d) = d**2 - 10*d + 10. Let k be q(z). Let o be (-1 - k - -3) + (1 - 4). Solve o*c = 11 - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c - a = 142, 143 = c - 2*a. Suppose 12 = 3*g, 4*k - c = g - 33. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 times 12028286\nAnswer: -457074868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1106 - -1105.919. Put v, 0, -2, -4 in descending order.\nAnswer: 0, v, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*(-2)\/(-12))\/(3\/36). Solve -v - 9 = -p*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*h + 123*h + 1419 + 7720 + 5141 = 0 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 31 = -36*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 10. Let a = k - 3. Suppose 0*m - m + 4*r + 53 = 0, -m + r + 38 = a. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36206 and 582.8.\nAnswer: -21100856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2. Let x(d) = 1222219*d**2 + d - 4. Let r(h) = 4*j(h) - x(h). Let i be r(-3). What is i rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, f: 1, r: 6, y: 3}. What is prob of picking 2 y and 1 r?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (7 - 5)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -47*v**3 + 3*v. Let w(i) = -24*i**3 + 12*i**2 - 22*i. Let l(c) = -2*c**2 + 4*c. Let h(n) = 12*l(n) + 2*w(n). Determine 3*h(s) - 4*u(s).\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12211201110202101 - 1?\nAnswer: 12211201110202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966400 and 80000.\nAnswer: 24160000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 19 + 17757*q - 29 + 63)*(4*q - 4*q - 2*q + (-q + q - 3*q)*(1 + 1 - 3) + 2*q + q - q).\nAnswer: 53271*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.19 + -2.31. Let o = c - -2.2. Let r = 2 - 0. What is the smallest value in r, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -4?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -223 - -2?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**3 + 8443*u + 4*u**3 - 4237*u - 4254*u + u**3.\nAnswer: -6*u**3 - 48*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -19. Suppose 4*w + w - 25 = t. Which is smaller: w or 16\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttgtvgtvvvgtvvt. What is prob of sequence vtv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*l + 18 = -0*r, -12 = -3*r - l. Solve 20*d - 13 = -3*b + 15*d, -11 = -5*b - r*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + 6 + -8 + 4 + 0?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - o + 5*o)*(6*o + 0 - 1 + 0) as w + i*o**2 + r*o and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 2 (c) -3\/35339 (d) -2\/9 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1*(-7550)\/360*(-4)\/(-10) and -85\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/(1*(-32)\/(-240)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/338526 and -83\/16.\nAnswer: 2708208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -20230024430?\nAnswer: 20230024434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-133))\/((-10)\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -6, 5, -0.1, 18, 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.9710477 nanoseconds to days.\nAnswer: 0.00000000000012697971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*r**4 - r**3*s**2 - r**3*s - 55*r*s**2 + 2*s**2 wrt r?\nAnswer: 84*r**2 - 6*r*s**2 - 6*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r + 21*r + r - 11*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 18*r - 1. Let v be f(1). Suppose 2*m = -3*u - v, 5*m + 27 + 5 = 3*u. Let z = m - -29. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21351379 divided by -7\nAnswer: -3050197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(243)\/(sqrt(54)\/sqrt(6)))\/sqrt(2304).\nAnswer: 5*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7011.348 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-23))\/f)\/f**5)\/((f*f*f\/(f**(7\/8)*f*f))\/((((f\/f**20)\/f*f)\/f*f)\/f)) assuming f is positive.\nAnswer: f**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**2 - 3 - 101*b + 50*b + 53*b + (1 - 2*b - 1)*(0*b + 3*b - 5*b) + 0*b**2 + 0*b**2 + b**2.\nAnswer: -b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2 - 48. Let c = w + 12. Sort 5, c, 4 in descending order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/((-9)\/384*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6117*o + 6105*o = 240 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 702862.3cm to nanometers.\nAnswer: 7028623000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Let n = -15 - -21. Let k = n + -5.8. Which is smaller: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001118188 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.3, -0.29, 343, -0.5, -2\/37?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3551704 rounded to 4 decimal places?\nAnswer: 0.3552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9\/10 of a millisecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8150 - -8149.7. Let u = 11.4 - 9.4. What is the closest to 0.2 in u, q, 6, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/105? (a) -756 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1295750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162851619.\nAnswer: 3, 7, 17, 456167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -82, -127, -162, -187, -202?\n\"Answer: 5*z**2 - 70*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 523443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -111903713\/13 greater than -8607979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4584593140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5909 + 220?\nAnswer: -5699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -214\/5969?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 13*f + 11*f**3 - 31*f**3 + 66*f - 3*f + 97*f.\nAnswer: -20*f**3 + 2*f**2 + 173*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24796627?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.16914 millilitres in litres?\nAnswer: 0.01516914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 59280 divided by 570\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 13 + 7 = 0. Suppose -j - y + 110 = 0, -4*j - 5*y = -q*j + 116. Suppose j = 3*p - 3*d, 8*p - 132 = 5*p - 4*d. Is 40 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30502\/61 - -500. Let r = 8 + -7.8. Put i, r, 1\/7 in descending order.\nAnswer: r, 1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 754\/(-29) + (-7 - 432\/(-4)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -40. What is the smallest common multiple of 1 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5667 and 6467936?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -604, -881, -1170, -1477, -1808, -2169, -2566, -3005?\n\"Answer: -a**3 - 270*a - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1020.9937 to the nearest 10.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 965551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (139\/((-4170)\/(-108)))\/(4\/(-30))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -6 - (1 - -43). Let l be 184\/18 - (-10)\/i. Solve 2*q = 4*q + l, -5*q = -3*t + 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309089387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(14))\/sqrt(7) - (sqrt(2) + 5 + sqrt(2) + sqrt(10)\/sqrt(5)))**2 + sqrt(50) + sqrt(50) + 1 + sqrt(250)\/sqrt(5).\nAnswer: 34 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x + 10 = -59*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101003000101 (base 4) in base 14?\nAnswer: -8447a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67627*l**3 + 148948?\nAnswer: 202881*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + ((-9)\/1)\/3. Let o = i + 18. Solve 5*b = 2*n - 10, -n - n = b - o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2945916?\nAnswer: 2945919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = l. Let w be (-5)\/5*l\/(-1). What is the units digit of w + 5\/(5\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34\/1245 + 48691\/4980. Factor -9\/2*n**4 - 3\/4*n**5 - 9*n**2 + 0 - 3*n - s*n**3.\nAnswer: -3*n*(n + 1)**2*(n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10*l = 7*l + 444, -4*l - 278 = -3*v. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -298*c**2*h**3*j + c**2 + 4937*c*h*j - 16307*h**3*j**2 - 15*h*j**2 - 5*h*j - 5*h wrt h?\nAnswer: -1788*c**2*h*j - 97842*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -2 (c) -1\/53479\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 6*c = -5*j + 23257, -3*j + c + 13957 = 0. What is the highest common divisor of j and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 10*g**2 + 13*g - 2. Let z be j(9). Let u be 2\/(-5) - z\/(-10). What is the derivative of -4*l**3 + 9*l**3 + 7 - u wrt l?\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.4 (b) 0.2 (c) 28395 (d) 17 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 17*w**2 + 3*w - 2. Let b be g(1). Let p = 5 - 3. Suppose -y - a + 7 = 0, -a - b = -p*y - 2*y. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-65))\/(589\/(-7657)*1\/(-2))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-2)\/(-8))\/(1\/(-4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*d + 72*d + 731. Let b(k) = k**2 + 17*k - 12. Give b(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197.91 + -200. What is the fourth smallest value in -1\/6, c, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 17*p - 21. Let g = -26 + 45. Let l be a(g). Suppose -3*u + 56 = -2*j, l = u - 0*j + j. Calculate the highest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 34, 1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/58 - -149\/290. Sort -4, -0.16, q in descending order.\nAnswer: q, -0.16, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*g + 4, 3*n - 2 - 2 = -g. Which is the closest to 4? (a) -2 (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 11*h**2 + 5*h + 9. Let u be w(-12). Let z be (-4 + u\/(-6))\/(1\/(-10)). What is the highest common divisor of 78 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65026 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3924\/218 + (0 - 1*5). Solve 2*a + 6 = 0, 5 = -y + t*a - 15*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - i - 3*i - 171 = 0, -b - 1244*i + 1251*i + 300 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsw when three letters picked without replacement from {w: 3, n: 1, m: 5, r: 10, s: 1}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87409\/15 + -37028\/5. Let q = -28463\/18 - v. Find the common denominator of q and 83\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19444853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4656 divided by -1164?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9636178 + -4103022.\nAnswer: -13739200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*k - 6*k - 15, z = -4*k - 9. Let f be (-2 - -2)\/(k*6\/9). Suppose -4 + 52 = 4*q - 2*g, f = q - 5*g - 12. Solve -c = 3*c + q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 * 2009\nAnswer: 4419.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -15. Let h be (-2)\/(-4) + k\/4. Suppose 3*u - 19 = -5*y, 2*u - 5*y = 23 - h. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**3 + 269*j**2 + 100*j + 2036. Determine t(39).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - ((-6)\/2 + 3). Suppose -10*j + 2*p - 17 = -5*j, -13 = s*j - p. Which is the second smallest value? (a) 2 (b) 3 (c) -4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -15. Suppose 0 = -2*n + 3*c - 7, 2*c - v + 1 = -2*n. Let d(b) = b**2 + 3*b + 1. Let u be d(-4). Sort u, -2, n in decreasing order.\nAnswer: u, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**2 - 1\/3*p**3 - 36 + 3*p. Determine b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in 254, -3\/26, -1\/5?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 15*c**2 - 14*c. Let x be i(14). Let w(b) = 23 + 7 - b + 0 + 3*b. List the prime factors of w(x).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18*n**2 + 9*n - 9. Let r(m) = m. Let t(j) = -9*r(j) + x(j). What is the first derivative of t(p) wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2862856*a**2 + 5720385 with respect to a.\nAnswer: 5725712*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011185131 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(108)*-1 + -4))**2.\nAnswer: 1200*sqrt(3) + 3100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 9) in base 2?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 14 = 2*q. Let r(h) = h**2 + 6*h + 15. What is the remainder when (-1 - q\/2)*34 is divided by r(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1683675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*c + 154 + 46 + 22 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33114133042 - 1?\nAnswer: -33114133043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 167*z**2 - 5*z - 8. Let a(v) = v**2 + 9*v - 1. Let y be a(-9). Is d(y) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*q**2 + 6*q + 5*q - 11*q.\nAnswer: -254*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 283 (base 9) to base 13\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 1. Let y = -40.3 + 40. Sort f, y, -1 in decreasing order.\nAnswer: f, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -728092 divided by 3812.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69382563 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 9:20 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -544\/77389 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 908 and 1127509.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 326?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 20\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 3*g**2 + 2*g + 1. Let l be p(4). Let n(q) = 2*q + 13. Let m be n(l). What is the units digit of (m + -6)\/(9\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -109?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 11) to base 4\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*u - 615*u**2 + 4330*u**2 + 4182*u**2 + 18*u in the form o*u + f*u**2 + h and give f.\nAnswer: 7897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {t: 1, v: 2, j: 1, z: 1, r: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -39. Let y = 10 - 7. Let q(k) = -1 - 3 - k**3 + y*k - k + m. What is q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 2:29 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47431 or -47433?\nAnswer: -47431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joyoyooyooyyyo. What is prob of sequence oy?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -490314660 divided by 11660?\nAnswer: -42051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*z + 6*z. Let b be (z\/(-40))\/(1\/36). Suppose b*w = 475 + 65. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/8 + 1\/(-4). Let q(n) = -n - 1. Let x be q(2). Suppose 4*k - 16 = 4*i, -5*i - 2*k = -3*i + 12. Sort i, x, c in decreasing order.\nAnswer: c, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 0.382.\nAnswer: -0.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 263 = 4*t. Suppose 0 = -3*l - 45 - t. Let v = 5 - l. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -911 - -913. Suppose -5*c = 25, -2*y - i*y = -4*c - 908. Is 56 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 647*y - 629*y - 6 - 12. What is the closest to y in 12, 4, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -16. Suppose -q*i + 19 = -8. Solve -i*u + o + 14 = 5*o, -3*o + 21 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 - 6*u + 5. Let b(q) = -2*q + 3. Let f be b(-4). Let s = f + -6. Suppose 0 = -s*t + 5*h + 30, 4*t - 9 = h + 12. Calculate o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.05, -0.2, 10, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -770 + 771. Which is the second biggest value? (a) 0.3 (b) t (c) 2\/13 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + -0.1. Which is the fourth biggest value? (a) 5 (b) -1\/4 (c) -4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-2 + 2 + 6*i**4) + 3*i**2 - 2*i**2 - 2*i**4 - 3*i**2.\nAnswer: 4*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.171, -11\/4 in increasing order.\nAnswer: -11\/4, -0.171, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eggggggeegegeeeg. What is prob of sequence ee?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Let d = 26.17 + -26. Let c = d + -3.17. What is the closest to y in 3, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + w**3 + 6*w**3 - w**3.\nAnswer: 6*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 235 = 329. Let c = g - -310. Suppose c = 5*k + 44. What is the highest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-3) - (-2)\/6. Let h = 2.98 - -0.02. Let x = h + -3.2. What is the second smallest value in x, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2559*u - 920*u - 1211*u)*(0 - 1 + 3 - 2 + 0 + 3 + (4 - 4 - 1)*(-1 + 1 - 1)) as j + m*u and give m.\nAnswer: 1712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73149)\/154206 + (-1)\/(-2)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2. Let p(u) be the third derivative of -u**8\/10080 + u**5\/20 - u**2. Let q(r) be the third derivative of p(r). Give q(i(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 158 = 3*z, -5 = z + t - 56. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmsmkksujussu. Give prob of sequence um.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*u + 13 = -o, -5*o + 5*u = -35. Suppose -o*r + 9*r - 35 = 0. Solve 5*p = r + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.009 - -1.991. What is the smallest value in 0.3, 7, 5\/3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*20\/(-24))\/(2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*t + 5*s - 17 = 0, -t - 21 = -5*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-125)*10)\/((-2)\/(120\/55)*-2).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 1, 12.9, -1, 26, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -101. Let d = g - -64. Find the common denominator of d and 31\/29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let v(h) = 208079*h. Calculate v(n(m)).\nAnswer: 208079*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -352193192*t**2. Let k(w) = 2*w**2. Calculate k(r(y)).\nAnswer: 248080088982297728*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133766.\nAnswer: 2, 66883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -4. Suppose 10*o - 8*o - 20 = 0. Calculate the least common multiple of o and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4077794ms in days?\nAnswer: 0.0000000857381875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 7*k + 2. Let u(x) = -3*x + 17. Let h be u(8). Determine d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 149 - 1084 = 0. Let d = 193 + a. Solve g = -g - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + b - 21 = 2*b, 0 = 5*r - 5*b + 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 63*w**2 - w - 19. Let o(j) = -157*j. Determine o(p(z)).\nAnswer: -9891*z**2 + 157*z + 2983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*m = 10, 2*t + 0*t + 3*m - 14 = 0. Solve t*o + 30 = -2*c, c - 5*c = 5*o + 45 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-6)*4\/2. Let p = -544 + 774. Suppose 3*b = h*d + 175, 4*b - 2*d = -d + p. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12)\/o*o**9*(o*o*o*o\/(o**(1\/9)*o)*o)\/((o**(2\/9)*o)\/o))**(-3\/7) assuming o is positive.\nAnswer: o**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 36*b**2 + 300*b + 106. Determine y(-23).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1237 + 4.\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 322001 (base 4) in base 14?\nAnswer: 14d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -5 - (31 - 18 - (4 - -4))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 76 = 26*v. Is v greater than or equal to 23\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 222 + 11*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -618197, -618340, -618469, -618578, -618661, -618712, -618725?\nAnswer: -618694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a year?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 + -36)\/((-2)\/1). Suppose k + 0*k - 2 = -3*b, -k + d = -4*b. What is the remainder when k is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10616040445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1996993 is divided by 4812.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1150 and 1012.\nAnswer: 25300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -27. What is the smallest common multiple of s and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14595 divided by 14595\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6684462, -6684391, -6684320, -6684249, -6684178?\nAnswer: -6684107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 885887.3 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0*z - 1\/120*z**6 + 1\/15*z**5 - 4*z**2 - 1\/6*z**3 + 0 + 1\/6*z**4. Determine t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 135. Suppose 3*t - 7 = f. Solve 11 = -3*d + z, 6*d + t = d - z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -34 + 0*a**2 + 0*a - 2\/5*a**5 + 0*a**3 - 2*a**4. Factor u(h).\nAnswer: -2*h**3*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/985 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 20 = 5*q - 15*r, 2*q - 4 = -r. What is the closest to -0.2 in -2\/7, q, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 10) in base 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176730258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -11. Suppose -3*v - 30 = -4*o, -2*v - 3*o + 3 = a. Suppose 0 = -x + 2. Put 5, v, x in increasing order.\nAnswer: v, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6013 divided by 6956\nAnswer: 6013\/6956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 18*i**2 - 34*i + 142. Calculate the least common multiple of 22 and y(10).\nAnswer: 17622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**6 + 68*n**5 + n**4 + 15027*n**2 wrt n.\nAnswer: 360*n**3 + 4080*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + y + y**4 + 5*y**4 - y**4 - 439 + 440 to f + h*y + k*y**4 + z*y**2 + b*y**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 148 = -5*n. Calculate the common denominator of -13 and (n\/(-8)*-9)\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.1, 42\/53, -13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380842 is divided by 13132?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17805 - 2338 - -3*(0 + 1) and 22?\nAnswer: 170170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128724 divided by -18?\nAnswer: -173818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-30) + (-10)\/(-6))*5. Let l be o*(-6)\/(3 - -3). Let y(p) = p**3 + 5*p**2 + 2*p. Calculate y(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 109583041 - 67831704. Let q = r - -4482949. What is q rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)\/k)**40*(k**2\/k)\/k*k**(-9) assuming k is positive.\nAnswer: k**(-361\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -27. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*y + 2 - 2)*(-y - y + 3*y) + 3*y - 3*y - y**2 - 3*y**2 + y - y + (3*y**2 + 0*y**2 - y**2)*(1 + 0 - 3))*(2099*y + 2048139 - 2048139).\nAnswer: -20990*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x - x - 5*x)*((866 - 31*x - 866)*(22 - 8 + 34) + 7*x + 0*x - 3*x) as a*x**2 + t + r*x and give a.\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfff when four letters picked without replacement from fffffffpffff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24665301 and 12.\nAnswer: 98661204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17790131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7470054?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 4486538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -320*l + 5658. What is p(15)?\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 6*h**2 - 9*h - 1. Give n(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684)*3 + 2 + sqrt(684) - sqrt(684))*1 - (2 + sqrt(475) + sqrt(19) + sqrt(1216) + -5))*6)**2.\nAnswer: 1440*sqrt(19) + 11844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:45 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7435984.\nAnswer: 2, 464749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/55)\/((-69)\/115)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 4:14 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -393951 and -1.26.\nAnswer: -393952.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8923 + 8906. Sort 1, g, 3, 4, 2.\nAnswer: g, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.07, -2\/5 in increasing order.\nAnswer: -2\/5, -2\/11, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1373*a**3 - 15. Let t(v) = 687*v**3 + 6. Calculate 5*t(y) + 2*w(y).\nAnswer: 689*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -900 (base 11) in base 15?\nAnswer: -4c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4020 - 4017. Solve -5*f - 7*p + 2*p = -20, -10 = -s*f - 5*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -7*j - 12. Factor 0 - 3*y**3 - 1\/2*y - 1\/2*y**5 + 2*y**4 + 2*y**j.\nAnswer: -y*(y - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 7*n**2 + 4*n - 8. Let g be z(-6). Suppose 0 = -6*b + 4*b - 4. Let j = g + b. What is the greatest common divisor of 14 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 6. Suppose c*h = 27 + 3. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20051 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7*y. Suppose -3*o + 2*o - 2*f = 5, y = -3*o + 4*f + 35. Suppose o*i - 196 = 169. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -23. Factor -2 - 18*i - 6*i**3 + 12*i**4 + 2*i + 22*i**r - 8*i**2 - 2.\nAnswer: 4*(i - 1)*(i + 1)**2*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 21. Let m(p) = 2*p + 43. Let l(u) = 3*m(u) + 5*q(u). Let x be l(-14). What is the highest common divisor of 50 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccxx when four letters picked without replacement from cxxc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.9 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -21. Sort s, 2, 0.1 in decreasing order.\nAnswer: s, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g - 5613 + 1893 = 125*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 259673019 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 28\/9*n**2 - 3*n + 26\/9*n**3 + 1\/9*n**5 - 28\/9*n**4 + 0 = 0.\nAnswer: -1, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12943 and 56287.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-231))\/(5\/30*1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 5*f**2 + 8*f + 6. Let p = -49 + 55. What is the remainder when a(p) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = z - 150. What is the lowest common multiple of 7 and z?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15\/7 - -39\/28. Which is the nearest to -2? (a) -2 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + 163 - 2*l + 51 - 3*l + 76 to the form c*l + z and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.12 and 15158594352.\nAnswer: 15158594357.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15544530 + 25?\nAnswer: 15544555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293681167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 + 1.8. Let j = 0 - g. Let o = 0.3 + -0.4. Which is the third biggest value? (a) j (b) 5\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349197821 to the nearest integer?\nAnswer: 18687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*m + n + 9, -5*n - 10 = 0. Is (-10)\/(30\/(-38277)) - (m + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 2*j. Let x be t(-2). Let u(q) = -11 + q**2 + q + 1 + x. What is the tens digit of u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 54078.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 109 - 97 = 2*a - 6*m + 2, 2*a - 5 = -m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*c*m**3*w - 42*c*m**3 + 3*c*m**2 + 7000*m**3 - 9887*m**2*w + 4*m*w**2 - m wrt w.\nAnswer: -26*c*m**3 - 9887*m**2 + 8*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95713.25 milligrams in grams?\nAnswer: 95.71325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 8*x - 1225 = 0. Is x a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172604473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r + 3. Let f be s(2). Let x be (-4)\/2 - (f - -1). Suppose 3*c + x = 10. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzzzzzzzbbzzzzb.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 45 + 18. Solve -3*i = t - 5*t + 10, -5*t = l*i + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*-2.89\nAnswer: 4.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 719 or 711?\nAnswer: 719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(441) + (sqrt(441) - (sqrt(441) + sqrt(441)*2 + sqrt(441))) + sqrt(9)).\nAnswer: -sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by (24\/(-10))\/((-18)\/840*4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 101.\nAnswer: -50.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 112212100 (base 4) to base 14\nAnswer: 25a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*n - 3*n - 3*n + 0 - 1 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6153 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.8 - -23. Which is the closest to -1\/2? (a) 2\/9 (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -426 + 490. Is r < 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7 - ((-4)\/(-28) + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*l)*(-172*l + 122*l - 164*l)*(0*l + 0*l + l)*(1 - 1 - 1) as b*l + u + r*l**3 + s*l**2 and give r.\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -50*k**2 + 17*k + 25. Let m(n) = -43*n**2 + 16*n + 23. Let l(d) = 7*m(d) - 6*y(d). Give l(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-3 - -5)*(-45)\/(-20). Solve f = 4*f - h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/16 and 21\/2478038.\nAnswer: 19824304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2793 - -2836. Solve -56 - 30 = q*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 9489912.\nAnswer: 66429384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -235, -193, -55, 203, 605, 1175?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*u - k - 24, u - 3 = -2*k. Let n be (-48)\/(-9) - u - (-32)\/(-24). Solve 2*g + g = -t - 20, n*t = -2*g - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.98*2291.\nAnswer: 2245.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**5\/10 + 11*q**4\/12 + 4*q**3\/3 + 11*q**2\/2 - 561*q. What is b(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c82 + -15e?\nAnswer: 5b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - u**2 + 2*u**2)*(36221 - 36221 + 106*u**2) + (-3*u + u + 0*u)*(-3*u**3 + 2*u**3 + 3*u**3).\nAnswer: -216*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11226 + 11226. What is the closest to h in -0.2, -3, 1\/10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 7:44 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-17.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882\/24 + 1\/4.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/5 (b) -4 (c) -37492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 8*v + 6. Let w be x(6). Let y = 18 - w. Solve 2*r + r = y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**2 + 48 - 38*k**3 + 2*k**2 + 83*k**3 + 64*k**3 wrt k.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-19)\/(l\/(l*l**(-3\/4)*l)) assuming l is positive.\nAnswer: l**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42884496?\nAnswer: 2, 3, 297809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**18*r*r)\/r*r*r\/r**14*r*((((r*(r*r\/r**19)\/r)\/r)\/r)\/r)\/r*r**0 assuming r is positive.\nAnswer: r**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 274, 16, 4, 0, -74 in increasing order.\nAnswer: -74, 0, 4, 16, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7.88. Let r = w - -0.927. What is r rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19\/7, -5\/3379, 1\/2?\nAnswer: -5\/3379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(4)*-6)\/(2*sqrt(99) + sqrt(99) - sqrt(11)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -1. Let h = 0.13 - -0.15. Let p = h - -0.02. Put b, -4, p in descending order.\nAnswer: p, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-28)\/(-35))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 605 - 3*w**3 - 268 - 337.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 368940 rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3*o - 8. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 5*k - 26. Let g be s(-5). Let d = g - -107. Suppose 0 = 2*r - 4*r + 2*t, -t = 2*r - d. Solve -r*o + 2*p + p = -23, 3*p - 1 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s + 25*s - 29*s + 408 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/10*16\/(-6). Suppose -j = 3*z + 2, -10 = -4*u + z. Let n(b) = -b - 1. Determine n(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = q + 3*n, 0*n - n = 3*q - 140. Calculate the greatest common divisor of 47 and q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000110110000101 (base 2) to base 8.\nAnswer: 706605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*((-1 + sqrt(288))*-3 + sqrt(288))*1*-6)**2.\nAnswer: -518400*sqrt(2) + 4179600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 9*y - 1 = -12*y - 32, -5*y = -3*f - 2*f + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4 - 8 - 5*g - 4. Let o be x(-5). Let z be 3*(6\/o + 0)*1. Solve 6*a = z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -31*f + 5. Let j be -3 + 2 + (-3 - -1). Let s = 185 + -183. Let g(i) = -32*i + 6. Let k(w) = j*p(w) + s*g(w). Differentiate k(d) with respect to d.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47901 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74238 or 2375643\/32?\nAnswer: 74238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = -4*b + 14, -4*n + 2*b + 18 = 0. Suppose 4 = 3*l + x, 5*l - 2*l - n*x = -2. Let g be ((-2)\/(-8))\/(-2 - -1). Is g less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 348 = 16*v. Let n = v + -33. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449222.4kg to grams.\nAnswer: 449222400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -438117496 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - (51 + 15) - (40 - -1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**2\/11 + 411066*c\/11 + 15629172\/11.\nAnswer: -6*(c - 68549)*(c + 38)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2656 and 2880.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120*b**2 + 13*b**2 - 39*b**2)*(1 - 1 - 1 + (-3 + 2 + 2)*(-1 - 5 + 4) - 3 + 2 + 2) - b**2 + 2*b**2 - 4*b**2.\nAnswer: -191*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*f + 3*d**3 - 2273893*d**2 - 6624586*d*f + 2 wrt f.\nAnswer: 2*d**3 - 6624586*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10)*(-2)\/(-4))\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.7112742 rounded to 2 dps?\nAnswer: -31.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2675 - -55.8525. Let i = 71.9 - o. Round i to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**3\/3 - 3*u**2 + 67. Let y be (0 + 4)*3\/6. Let i be ((-3)\/2)\/(1\/y). Determine m(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, i: 1, x: 1, c: 1, b: 2, p: 2}. Give prob of picking 1 b, 1 m, and 2 p.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*f, 4*f + 10 = 4*j - 2*j. Let r(h) = -5*h**2 + 7*h - 9. Let m(q) = -4*q**2 + 6*q - 10. Calculate j*r(u) + 4*m(u).\nAnswer: -u**2 + 3*u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/6 + (-1 - (3 - 0)). Let z be (30\/(-3))\/(-4 + -5). Suppose 4\/9*p - z*p**2 + g = 0. What is p?\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-83791.79\nAnswer: 33516.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 8*z - 11*z + 65, 2*z + 5*m - 5 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 61*o + 458. Let n be x(13). What is the second smallest value in n, -0.3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*z + 5*r + 109, 503 = 4*z - 33*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (640\/(-96))\/(16\/(-9)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*531732\/160. Let f = 2211 + r. What is the common denominator of 65\/4 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370378 is divided by 218.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**3 + 13772505*z**2 - 19198*z - 2639 wrt z?\nAnswer: 12*z + 27545010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45 * 0.14655.\nAnswer: -6.59475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20195652 by -591.\nAnswer: -34172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 533.99301 + -534. Round s to 4 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -3*j - 131 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {z: 1, u: 1, i: 1, d: 7, l: 2, a: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/7 + 38518*l\/7 - 16509 = 0.\nAnswer: -38521, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937942389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 334 + 3?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958807 is divided by 837.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13018590 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5578 - -55721\/10. Find the common denominator of j and -79\/1050.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164062?\nAnswer: 2, 82031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 803, 1605, 2409, 3215, 4023, 4833, 5645?\nAnswer: 6459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2247 + 0.1.\nAnswer: 0.3247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-312)\/54 + 10 + (-3 - 1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4538 - 4479 - 27*h**3 - 67*h**3 + (-h - 2 + 2)*(-4*h**2 - 3*h**2 + 5*h**2).\nAnswer: -92*h**3 + 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.88 + -0.0288. What is o rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1284 = 1193*l - 320*l + 56817 - 7518 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -326 (c) -5 (d) 14 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.8866 weeks in hours?\nAnswer: 165460.9488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1059*b**2 - 14*b - 180473 wrt b?\nAnswer: 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*u = 363*u - 1640. Calculate the highest common divisor of 23329 and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from qrhoorqqqrrorhhoqos.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 3*a**3 + 2*a**3 + (4 - 1 + 4)*(0*a**3 - 2*a**3 + 0*a**3) - 2*a**3 - a + a - a**3 - 2*a**3 + 4*a**3 + 0*a**3 + 6*a**3 - 3*a**3)*(3*a - a - 3*a).\nAnswer: 13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353627?\nAnswer: 353627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2 and -83\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4052022 + 212?\nAnswer: -4051410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.1 - 1.1. Let m = 3 - a. Let k = 0.1 + 0. What is the nearest to 1 in -0.2, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 15) to base 14\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -67*n + 9731. Give j(145).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3*k - 15 = 0, -4*k - 48 + 66 - 40 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 - 3\/5*q + 4\/5*q**3 + 2\/5*q**2 + 0*q**4 - 1\/5*q**5.\nAnswer: -(q - 2)*(q - 1)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5196 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 13, r: 1, q: 3}. What is prob of sequence qqdd?\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + (-5*(sqrt(891) + -1) + 5*(sqrt(891) + 1 + sqrt(891)) - -6*sqrt(891)*3*2)*3)**2.\nAnswer: 59778*sqrt(11) + 13480665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 886, 2554, 4956, 8098, 11986, 16626?\nAnswer: 22024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*w + 504*w**2 + 335*w + 201 - 201.\nAnswer: 504*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 1. Let f(o) = -3*o**2 + 3*o - 6. Let d(q) = -f(q) + 3*x(q). Suppose -z = -0*z - 2. Let h(y) = -3*y - 9*y + 12*y + z*y. Give d(h(w)).\nAnswer: 12*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (581\/(-166))\/(-4*(-1)\/(-32))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 2*k + 98. Let n be 4\/(-20) + k\/(-30). Let o = -0.8 - -0.5. Which is the third biggest value? (a) o (b) 1\/10 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 182274630*t + 1661202037081845.\nAnswer: 5*(t + 18227463)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120333 - 1236?\nAnswer: 116064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6978865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -7*h**2\/2 + 7*h - 2. Let z be v(-9). Suppose -6*c + z = -c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60811217*r**2 + 85958698.\nAnswer: 121622434*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 21 (b) 2\/15 (c) 5 (d) 1\/8 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(42)\/sqrt(6) - sqrt(7)) + -4 + (-4 + sqrt(7))*4 + (1 + 0 + 1*sqrt(7) + -4)**2.\nAnswer: -3*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - i - 3*i = 166, 2*c - 112 = 2*i. What is the least common multiple of 12 and c?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(5*2*sqrt(8)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 243*h*p**2*u**3 - 19564*h*p**2*u + h*u**2 + 2*p**2*u + 151*u**3 - 12*u wrt u.\nAnswer: 1458*h*p**2*u + 2*h + 906*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -248 - 253 + 501 - 13678*i in the form s*i + k and give s.\nAnswer: -13678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/27 + (-615)\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x - 9*x + 16*x + 7 in the form y + i*x and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 37*y**2. Let c(z) = 3*z**2. Give c(k(m)).\nAnswer: 4107*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, z: 3, h: 4, x: 2, l: 2}. What is prob of sequence wzh?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 270473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 9 = -4*x, -3*x - 31 + 3 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 187?\nAnswer: 5\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*v - 7 = -u, 0 = 4*v - u - 13. Calculate the highest common divisor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -3*x - 0*x - 24, -4*k - 28 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/(-30)*2\/10. Which is the closest to 0? (a) 0.5 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + (sqrt(3) - sqrt(36)\/(sqrt(36)\/sqrt(3)))*-6 + (-1*sqrt(1152))\/sqrt(6)))**2*-5.\nAnswer: -4340 + 1600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -6*s + 4*g, 4*s + 286023*g = 286014*g + 15 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*z + 18*z + 22*z to l + d*z and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {j: 1, e: 3, g: 3, f: 2, z: 2, i: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2158394*j*k**5 + 3*j*k**4 + 4*j*k - 708*j - 44 wrt k.\nAnswer: 43167880*j*k**3 + 36*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*o - 3511 = -383*o + 3671. Calculate the remainder when 291 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {s: 1, k: 5, t: 1, c: 2, q: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4842395 or -4842397?\nAnswer: -4842397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 36 + 39*v**2 - 8*v - 16*v**2 - 24*v**2. Let s be d(-11). Factor 0 + 0*i + 0*i**2 - 2\/7*i**s.\nAnswer: -2*i**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64, 1828, 6632, 15994, 31432, 54464, 86608, 129382?\n\"Answer: 253*a**3 + 2*a**2 - 13*a - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.52 and 2?\nAnswer: 11.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 6. Calculate r(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccdcdd. Give prob of sequence cd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/9075 and 34\/19965?\nAnswer: 99825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 46*r - 31*r - 32 + 25.\nAnswer: 15*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/11 - 40\/(-22). Suppose -2*y + 19 = 3*g + 2*y, -2*g = m*y - 10. Does 5 divide -1 + -1 - -13 - g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/12)\/(13\/(-104)). Let g(h) = h - 5. Let s be g(4). Let p be (-1)\/7*(2 + s). What is the third smallest value in p, -2, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2630110950 to the nearest 100000.\nAnswer: 2630100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (29 - 12 - 10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 7857?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 10 = 22 + 31 - 52 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - z**2 - 2*z**2 + (-2*z + 2*z + z)*(-2*z + 1 - 1) - 9*z + 87*z - 15*z - 10*z**2 to the form l + p*z + a*z**2 and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000265917804 rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -98*k**2 + 6525*k. Let l(f) = 2*f - 30. Determine v(l(g)).\nAnswer: -392*g**2 + 24810*g - 283950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.92 + 0.08. Let f = -5 + z. What is the third biggest value in f, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*s + 43*s + 4*m - 8, -4*s = -m + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c**3*t**2 - 11*c**3*t - c**2*t**4 + c**2*t - 2 wrt t?\nAnswer: 10*c**3 - 12*c**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 5*q - 16. Let u be n(7). Sort -3, 2, u.\nAnswer: -3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86*y - 110*y**2 - 425*y**3 + 28*y + 183*y**3 - 18.\nAnswer: -2*(y + 1)*(11*y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52, -1191, -3088, -5743, -9156, -13327, -18256?\n\"Answer: -379*t**2 - 2*t + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 + 9 = 29*w + 57 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 7:05 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2545657203.\nAnswer: 3, 229, 3705469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*k - 12770*f + 25130*k with respect to k.\nAnswer: -f + 25130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -74960, -2\/9?\nAnswer: -74960","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*z - 80, -z + 3*h + 6 = 32. Let o be (-3)\/6*0\/z. Solve o*m - 5*g + 21 = -4*m, -3*m - 2*g = -13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -23112?\nAnswer: -23040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 9*n - 1. Calculate u(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3537, -3548, -3567, -3594, -3629, -3672, -3723?\n\"Answer: -4*c**2 + c - 3534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2090 divided by -1045.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.385 and 0.5?\nAnswer: 8.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + v - 2*q, -3*q = -15. Let t be 11\/44 + (-668)\/(-16) + v. What is the highest common factor of 70 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.871 + 6.871. Which is the closest to r? (a) -169 (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2820 - 1242 = -388*v - 2302 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-45) - 0) + (-12)\/(-18). Sort -19, 0.2, s in decreasing order.\nAnswer: s, 0.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14450 is divided by 722.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -22. Suppose 0 = t + 4*v - 10 - 13, 4*v - 20 = 0. Solve -z + t + x = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w - 4*o = -32, 94 = 2*w - 2*o. Suppose 0*q - 5*f + 55 = 3*q, -2*q - 4*f + 38 = 0. What is the remainder when w is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301266, -301276, -301288, -301302, -301318?\nAnswer: -301336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 44. Calculate the remainder when ((-207)\/(-3) - 4) + 0 + l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a factor of 17443597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a factor of 41873598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -1. Is 57\/2*o\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*l - 2687 - 2315 = 159*l - 276*l for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587 + 3039. What are the prime factors of x?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5218, 6684, 9136, 12580, 17022, 22468, 28924, 36396?\nAnswer: 44890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/6)\/(-6 - 627\/(-110)). Let m(r) = 2*r**2 + 12*r + 5. What is m(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4281*d**4*n**3 - d**4*n + 130*d**2*n**3 + 35*d**2*n**2 - 2*n**2 wrt d.\nAnswer: 102744*d*n**3 - 24*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303476.\nAnswer: 2, 7, 82267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - x - 3. Let y(n) = n**2 - n. Let k(q) = -q**3 - q**2 + 1. Let o(d) = -k(d) - 5*y(d). Let t be o(3). Suppose -p = -t*p. Give m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011101111010100111 (base 2) to base 10.\nAnswer: -646823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 5 = -3*o + 6*o, -3 = -4*o - 3*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -65. Calculate the greatest common factor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -101 in ascending order.\nAnswer: -101, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 - -102.7. Let b = -0.03 + 0.33. Let c = a + b. What is the third smallest value in 5, 2, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -155913 and -155914 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*f + 243*f - 94 + 641 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 6. Let l(u) be the third derivative of u**5\/60 - u**4\/12 + u**3\/3 - 19*u**2. Calculate l(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49017, 98072, 147139, 196218, 245309, 294412?\nAnswer: 343527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*(-18)\/4*(-31680)\/2376?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12))**(4\/7) assuming b is positive.\nAnswer: b**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 117 = -4*p, -t - 2*p = -p + 24. Let u be 4 - 2 - (1 + t). Suppose -5*i + 95 = -15. Is u != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -s - 4*w - 22, 5*s + 38 = -4*w. Let y = 16 + s. Let j = 809 + -803. Calculate the smallest common multiple of j and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -48, -235, -594, -1179?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*d - 15 = -2*d, -n + 3*d - 16 = 0. Let j = -306\/485 - -3\/97. Put 2\/7, j, n in decreasing order.\nAnswer: 2\/7, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 3*d**2 + 4. Let t be v(3). Suppose -2 + 66 = t*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148598 (base 10) in base 14?\nAnswer: 21c82a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o**(1\/2)\/o)\/o*o*o**(7\/6)*o assuming o is positive.\nAnswer: o**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*m = -210*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5021943\/10 + -502197. Let u = 1\/5607 + 113986\/128961. Find the common denominator of u and y.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**2 - 207*c + 594 = 0.\nAnswer: 3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1187221 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141 - -251. Let f(a) = -14*a - 118. Let g be f(-10). Calculate the greatest common divisor of s and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14209.\nAnswer: 13, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 4*j + 3. Give f(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -371 + 409. Suppose h*t + 17394 = 64*t. Is t a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/24*-2*(-210)\/1435?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqpqqq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g - g - 2*g)*(4*g - 3*g + 0*g) - 3*g**2 - g**2 - 3*g**2)*(4 - 15 - 1).\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Suppose 4*w = -2*i - 2*i + 28, -j*i - w = -13. Let a(r) = 3*r**2 - 1. Does 11 divide a(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = -181*u + 2288 - 864 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579410557 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3288.332 - -3297. Round v to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1201*p - 2492*p - 2119*p = 211420 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/32 and -39\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1404078335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -0*f + 3*f. Let d = 16 - f. Let b = d + 50. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 8*p**2 + 10*p + 12. Let t be q(9). Suppose -8 = -2*r - c, -t = -4*r + 5*c - 5. Calculate the least common multiple of r and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(-1 + sqrt(112)) - (1 + -5 + sqrt(1372) + sqrt(28)).\nAnswer: -80*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 - 8\/(-20). Is (13 - 2)\/(1 + p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -2\/13, -3\/25, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -4\/7 (c) -0.4 (d) 1.2 (e) 14 (f) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in -3\/8, -0.041, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1787, -1780, -1763, -1730, -1675, -1592?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*f + 12 = 0, 3*o - 2*f = 3*f + 54. Let h = 5 - 12. Sort h, o, -5 in increasing order.\nAnswer: h, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 43. Suppose -36 = -4*k + 4*c, 2*k = f*c + 23 - 8. Suppose -20*r + k = -19*r. 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: Let v(o) = -o**3 - 6*o**2 + 2*o + 3. Let a(k) = -186*k**2 + 178*k**2 + k**3 + 8*k - 9*k + 2. Let z be (5 - -1)*4\/3. Let d be a(z). Calculate v(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -62. Let y = -46 + p. Suppose -g + 3*m - y = 0, -1 = -2*g + 3*m + 1. Solve 0 = -f + 5*x + 11 + 5, -4*x = -g*f + 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5553 divided by -11\nAnswer: -5553\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -149*i**3 - 112*i**2 + 343*i. Let q(l) = -249*l**3 - 192*l**2 + 572*l. Give 12*j(u) - 7*q(u).\nAnswer: -45*u**3 + 112*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -4*p**5\/5 - 2*p**3 + 3. Find the third derivative of f(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-5))\/2 + -1. Let t = 5 - 4. Let p be (4 - 5)\/(t - 0). Which is smaller: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15878, 15877, 15876, 15875, 15874, 15873?\n\"Answer: -k + 15879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**3 + 3*c**3 + 2*c**3)*(-11*c**2 - 13*c**2 + 26*c**2 - 5 + 2*c**2 + 5 + (0 + 0 + 2*c)*(c - 2*c + 2*c)).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*g + 5805 = 8635 - 71626. List the prime factors of g.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*1885295.\nAnswer: 30164720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 749*g**4 - 7*g**3 - 752*g**4 + 9*g**3 + 5 to h*g + x + w*g**4 + n*g**3 + m*g**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/4 + (-946)\/(-88). Suppose 4*d + d = r. Solve 5*x - 4*s - 8 = 0, 0*s = -2*x + 2*s + d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 2, 3, -934?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 - -3.06. Let k = h - 2.9. Let l = k + 0.9. Which is smaller: l or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 38*p + 119. Calculate n(33).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 6, b: 4, i: 3}. What is prob of sequence sa?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen quarters of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 279687 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 51*v**2 + 7*v + 129. List the prime factors of k(-18).\nAnswer: 3, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4 = v. Let z be (-24)\/(v\/(-6)*4). Suppose -z = -r - 2*r. Calculate the remainder when 23 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r + 5. Let j = -3210 + 176542\/55. Let b = 214\/715 + j. Which is greater: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**5\/60 - r**4\/12 - r**3\/3 - 5*r**2\/2 - 14. Let p(k) be the second derivative of f(k). Give p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 8*h. Let t be (0 + 0)\/(-2 - -4). Is t > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 4*y + 3. Let g be p(-4). Let s = -33 + 34. Let n = s + -2. Put g, -4, n in ascending order.\nAnswer: -4, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 1 o when three letters picked without replacement from {c: 2, m: 2, b: 3, o: 6}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rff when three letters picked without replacement from rffp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2520302 (base 6) to base 15.\nAnswer: 29e7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -1\/6, -18, -5, -2, -322530?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**4\/24 + 13*j**3\/6 - j**2. Let o be b(11). Solve 0 = o*l - 2 + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/17))\/i**9*(i**(-1))**(1\/25))**20 assuming i is positive.\nAnswer: i**(-13868\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a0445 + -9?\nAnswer: 2a0439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222 - -552. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 540 - 521. Solve 3*a - u = -16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699232541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 20 = -7*r. Let d = 0 + 2. Suppose -21 = -3*o - 5*k, -d*o = -5*k - 66 + 27. What is the lowest common multiple of o and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 78 - 48 = 0. Suppose j*t = 2*t - 2*u + 35, -t = -3*u + 10. Solve t*w + 0*w - d = -10, d = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:46 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -1285?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 + 94. Let l = s - -13. Solve -2*j = l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/23866128 and -107\/4598.\nAnswer: 262527408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 108969486 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: Sort 4, -0.5, -117, 5, -0.9 in decreasing order.\nAnswer: 5, 4, -0.5, -0.9, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2213 + 2210. Let u = 1.6 + -9.6. Let o = 0 + u. What is the smallest value in k, 1\/6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 5:12 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6037 (base 11) to base 2.\nAnswer: 100101101101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -0.1, 11, -2\/5, 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -32 - (-52 - -69)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4214 - 4214 + 2*g + 24*g**2 in the form l*g**2 + z + y*g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 43 = -3*x - c + 40, 3*c - 13 = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 0*d - 4*d + 1)*(-d + d - d**2 + (-d + d - 4*d)*(-7*d + 12*d - 4*d)*(1 - 1 + 2)) to the form a*d + f*d**2 + g*d**3 + t and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187.789 + 0.211. Let p = f - 167. What is the second smallest value in -1\/2, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48377\/108 - -12110\/27. Let -5\/12*i**5 + 0 - 7\/12*i**4 + 11\/12*i**3 - 1\/2*i + x*i**2 = 0. What is i?\nAnswer: -2, -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 8*l + 8. What is q(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 271?\nAnswer: 3\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 29\/37208 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1114102 (base 5) to base 10\nAnswer: -19902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4 = 5*v + 5*x, 5*v = x - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110020101 + -2100202?\nAnswer: -112121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344 and 314029?\nAnswer: 2512232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c6 - -9d0?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009859939658 rounded to six dps?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8143 + -4389. Suppose -n + 2162 = -3*v + 5914, 2*n + p = 3*v. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10873466, -10873464, -10873462, -10873460, -10873458?\nAnswer: -10873456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -262.818 - -266. What is s rounded to 1 decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 688 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -4*sqrt(252) + 2)**2.\nAnswer: -72*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1366720?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. Suppose 3*u - j - 1 = 0, 6*j - 13 = -t*u + j. Let p be 21\/63*12*u. Let w(g) = 2*g - 1. Determine w(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 3:10 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-1) + -3 + 4. Suppose 2*p + 3 = 3*m, -m + 2*p + 5 = -0. Let i(h) = h**2 + 24*h + 44. Let s be i(-22). Put d, s, m in increasing order.\nAnswer: d, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.7, -1, -73\/5, -3?\nAnswer: -73\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 5*g + 7. Let t be c(5). Suppose 0 = 2*i - 5 - t. What is the common denominator of 3\/10 and 46\/i*18\/(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1956, 3969, 5982?\nAnswer: 7995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 470.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**5\/9 - 2576*f**4\/3 - 338716*f**3\/3 + 1023880*f**2\/9 = 0.\nAnswer: -1790, -143, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87015 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-10) - 1595497\/(-90). Let w = 17722 - q. What is the common denominator of w and (1 - 1) + 91\/14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -459.1 - -458.8. Which is the fourth smallest value? (a) 1 (b) -1\/8 (c) -0.1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x + 15 = 0. Suppose -2*d + 0*c + 9 = -3*c, c + x = 3*d. Suppose -5*s + 4*j - 2*j = -20, -j + 5 = d. Solve -s = -4*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64\/12*9\/6. Let g be 30\/9*60\/s. Let k = g + -126\/5. Which is the second biggest value? (a) k (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 5:24 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -89*m**2. Let n(t) = 525*t. Calculate n(i(u)).\nAnswer: -46725*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872108 is divided by 2850.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1393. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2146 = -36*r + 5306. Let z(b) = b**3 + 10*b**2 + 10*b + 8. Let p be z(-6). Calculate the highest common factor of p and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16539 rounded to three dps?\nAnswer: -1.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 101*u**2\/4 - 26*u + 51.\nAnswer: (u - 102)*(u - 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (-15 + -1 + 10 + 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/705 and -37\/1725?\nAnswer: 81075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -10)*(-71079)\/(-2204)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4 + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 104*f - 1023264. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b - 4. Let w be k(2). Solve 2 + w = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from {o: 1, m: 3, w: 2, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17, 24, 29, 26, 9, -28?\n\"Answer: -t**3 + 5*t**2 - t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -560.1 + 648. Let c = 92 - d. Let s = c - 4.0999889. Round s to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + 3*o + 7*o + 5*o as x*o + s and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 146853134581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1541*k**2 + 33*k + 1540*k**2 + 57*k + (2*k**2 + 1 - 1)*(4 - 4 + 2) to q + a*k + g*k**2 and give a.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4525113 (base 8) to base 2.\nAnswer: 100101010101001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3414125, -6828292, -10242457, -13656620, -17070781, -20484940, -23899097?\nAnswer: -27313252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v + 46*v + 5 = 0. Calculate the remainder when 19 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 6*v - 225. Put v, 2\/5, 0.2 in increasing order.\nAnswer: 0.2, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:02 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63936 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 + 2*b - 2. Let y(l) = 120*l**2 + 35*l - 35. Let d(j) = -70*m(j) + 4*y(j). Let u(v) = -v. Give u(d(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3 + 176195*z**2 + 7760905207*z - 23284301403 = 0.\nAnswer: -88099, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(1 - 3 + 4) - 2 + 1 + 2 - 5 + 3 + 3)*(-4*p + 1 - 1).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10355+-0.2\nAnswer: -10355.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 3. Let s = 71 - 96. Let p = -22 - s. Which is the nearest to v? (a) -5 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*26\/4 + -3. Let j = 51 - b. Calculate the remainder when 44 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/57302?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(432)*-2*-1)*5 + 2.\nAnswer: 2 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 2423.\nAnswer: -77\/2423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44518, 89039, 133580, 178147, 222746, 267383, 312064?\n\"Answer: s**3 + 4*s**2 + 44502*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.5 and 0.34.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 156027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353029744?\nAnswer: 2, 101, 218459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199 by -669.\nAnswer: -199\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517*o + 15*o**3 - 517*o.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 6*p + 4. Suppose o - 3*o = 12. What is the remainder when 10 is divided by a(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 8*m + 3*q = 17, 0 = -2*m - 5*q + 29. Let s be m\/13 - 7\/(91\/54). Find the common denominator of (s\/(-20))\/((-5)\/65) and 6\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*s - r - 3*r, -4*s = -r + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-52)\/(-20)) + (-28)\/(-1330)*-14\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17.33, -0.5, 3 in ascending order.\nAnswer: -0.5, 3, 17.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 149977*n**3*v**3 + 7157190*n**3 + 2*n*v**3 wrt v.\nAnswer: 449931*n**3*v**2 + 6*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -717 + 723 - (1 + -40) - 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -89200 to the nearest one thousand.\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 44 - 52 + 2*i - 59 + 155.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3047 + -54901\/18. Let v be (-163)\/(-450) + (-2)\/9. Let m = v - 1\/25. What is the common denominator of m and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30550\/1479 - 366\/17. Let z = 6\/29 + s. Let p(v) = v**3 + 5*v**2 + 4*v - 2. Let j be p(-4). What is the nearest to z in 1, j, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109512?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9349303 millimeters to centimeters.\nAnswer: 0.09349303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.4, -1.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(1\/(-10)). Let y = s + 7. Let x(g) be the third derivative of g**5\/30 - g**4\/24 - g**3\/3 + 2*g**2. Determine x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*z + 39*z - 11*z + 48 wrt z?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26763 to three decimal places.\nAnswer: -0.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.751 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133079 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 937, 1840, 2687, 3460, 4141, 4712?\nAnswer: 5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.4 (b) 5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 1163055*z + 1163055*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q + q + 8*q**3 + 4*q + q wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**4\/4 - 2*o**3\/3 - o**2\/2 - 4*o + 1. Let v be j(3). Let h = 13 - 12. Is h less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292282.8g to milligrams.\nAnswer: 292282800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10 + 3 - 2*o + 4*o. Let b be h(6). Suppose 0 = -j + d + 7, -3*j - 2*d + 1 + b = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (17 - (12 + 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 21. Let q(k) = 4*k + 1 + 3 + k**2 - 1. Give q(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/5? (a) -18 (b) -0.11 (c) -6\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1103, -2192, -3281?\nAnswer: -4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 o when four letters picked without replacement from kkkkkokkokokkkkkkok?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 2:54 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18291 and 45019.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 885 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.78 + 2.38. Let p = 3.5 - 3. Let m = -0.3 + p. Which is the nearest to -1? (a) r (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -33 + l**2 + 14*l - 2*l**2 + 50. Let r be y(15). Let p(z) = -3*z - 3. Let t be p(-2). Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12883594?\nAnswer: 2, 41, 59, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-57)\/(-76))\/(1\/(-4)). Let x(i) = -2*i + 2. Let h(g) = 0 + g - 3 - 4 + 4. Determine t*x(k) - 2*h(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 79 = -4*o, 5*w - 8421*o + 8420*o = -1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19398971?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*k - 6, 5*m + 0*k + 10 = -3*k. Let g be 1\/(0 - (-2)\/(-12)). Let p = m - g. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1317, 3\/22, -95, 2\/37?\nAnswer: 1317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 21 + 5 = 0. Differentiate 3*y + 1 + y + y**a - 4*y with respect to y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o. Suppose 9*n + 1157 - 6746 = o. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + -1 + sqrt(833))**2.\nAnswer: -42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -308 + 202. Let q = 229 + m. Calculate the remainder when q is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**(-2\/103)\/(((h*(h\/(h\/((h*h*h*h*h**(-6\/7)*h*h*h)\/h)*h))\/h)\/h)\/h*h**(9\/2)*h) assuming h is positive.\nAnswer: h**(-11105\/1442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 542*h**2 - 10*h - 17. What is the units digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.37, 37\/4, 5 in ascending order.\nAnswer: 0.37, 5, 37\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-628)\/8164 - (-2)\/5*(-25)\/(-65).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2664469\/3 - 888111. What is a in 24*a - 2\/3*a**2 - v = 0?\nAnswer: 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 2*i**2 + i + 17. Let w be g(-3). Solve -2*q - 10 = -2*c, w*q - 3*c - 3 = -18 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10844521*j - 3036*j**2 - 10844521*j + (0 + 0 + 2*j)*(4*j + 0*j - 3*j).\nAnswer: -3034*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 37 (c) 4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 38*g**2 + 29*g - 277. What is f(5)?\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56345\/6 - 5719052\/609. Find the common denominator of v and -25\/11.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -62\/3*f**3 + 31\/5*f**5 - 2\/15*f**6 - 132*f + 0 + 0*f**2 + 1\/3*f**4. Factor l(s).\nAnswer: -4*s*(s - 31)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/20485 or -1?\nAnswer: 14\/20485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 101. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -78724796.\nAnswer: 236174388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140697067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*x + 16 = -24, -10 = 3*l - 5*x. Let b be ((6\/4)\/1)\/(l\/50). Let n(w) = 83*w + 48. Is n(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -4 (b) 3 (c) -6\/67 (d) 1 (e) -0.4 (f) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1379*z**2 + 13 - 11 + 0 - 302*z**2 as o*z + m + u*z**2 and give u.\nAnswer: -1681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-56)*12\/15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9785 by -1957.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6505, -13010, -19513, -26014, -32513, -39010?\n\"Answer: s**2 - 6508*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*q - 150 = 3*o - 301*q, -o - 2*q = 59 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 + 390. What is the greatest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1103 - -1152. Let x = 333 + -187. What is the remainder when x is divided by u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -21.5. Sort z, -4, 2\/7, 10\/3 in descending order.\nAnswer: 10\/3, 2\/7, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(51\/510)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 4*t**2 - 9*t + 7. Let i be p(6). Determine w, given that w + 29*w**3 - i*w**3 + 10*w**4 - w = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/255? (a) -3 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(((((a*a**16)\/a)\/a*a*a)\/a)\/a)))**(-23) assuming a is positive.\nAnswer: a**(-345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3188*t**2 + 3339*t**2 + 6063*t**2.\nAnswer: 6214*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 360.9 + 2.1. Let r = 362.5 - l. Sort 3.1, r, 4\/7 in increasing order.\nAnswer: r, 4\/7, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -773 + 773. Is 4.17 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 26 + 29 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -263*l**2 - 2*l + 57. Let a(w) = -530*w**2 - 5*w + 114. Let u(d) = 2*a(d) - 5*y(d). What is the first derivative of u(i) wrt i?\nAnswer: 510*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4669 and 99833225?\nAnswer: 698832575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 9 - 9)*(4*l**3 - 3*l**2 + 2 + l**2 - 6*l**3).\nAnswer: 4*l**4 + 4*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t**3 + 15*t**3 - 45 - 17*t**3 - 77 - 39 to v*t**2 + i + c*t + j*t**3 and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (181 - 205) + (0 - -31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((-4)\/(-80)*-65)*52\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6 * -2.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.2 and -13?\nAnswer: 119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8463 and 1612.\nAnswer: 33852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -75136552\nAnswer: -75136553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*g = 3*g + 4, 0 = r - 3*g - 2. Solve r*f = 1 + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 + 25 = 0. Suppose -4*d + u = -40. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -2\/103 (b) -5 (c) 22 (d) -16 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/11))**(-35\/4) assuming k is positive.\nAnswer: k**(-105\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4356580.\nAnswer: 2, 5, 217829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -65*f**4\/12 - 3*f + 3534. Let a(x) = -90*x**2. Calculate t(a(q)).\nAnswer: -526500*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 257548 and 11532?\nAnswer: 772644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**4\/12 + 11*t**3\/6 + 59*t**2\/2 + 58*t. Let i be h(15). Put 13, 5, i, -4 in increasing order.\nAnswer: -4, i, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 63*o**2 - 9*o + 109. Let d(q) = -38*q**2 + 5*q - 55. Let i(z) = 5*d(z) + 3*u(z). What is i(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -18 (b) -17 (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.1, -0.4, 6 in descending order.\nAnswer: 6, 2\/5, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 928943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525693563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 15*w = -130. Let h(o) = -o**2 + 10*o + 6. What is the lowest common multiple of h(w) and 13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/5 - 6*y**3 - 17*y**2 + 96*y - 364\/5 = 0?\nAnswer: -26, -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -129, -7, -2.\nAnswer: -129, -7, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**5\/17 - 77768*s**4\/17 + 2964758*s**3\/17 - 19301548*s**2\/17 + 17116866*s\/17 - 4098780\/17 = 0 for s.\nAnswer: -9759, 1\/2, 7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 25.8.\nAnswer: 412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -66, -3 in descending order.\nAnswer: 5, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8689 (base 10) in base 7?\nAnswer: 34222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2545017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 3465?\nAnswer: -3500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/19456594 and 27\/11.\nAnswer: 214022534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2428402 divided by 1214201\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4498 divided by 13\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 275\/12*l**4 - 13\/2*l**5 - 1\/6*l**6 + 0*l**2 - 70\/3*l**3 + 2 - 5*l. Solve m(c) = 0 for c.\nAnswer: -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6438.028 - -6438. Sort -6, a, -3, -2\/3 in decreasing order.\nAnswer: a, -2\/3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**4\/4 + 8*r**3\/3 + 7*r**2\/2 + 15. Let g be o(-7). Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12787 - 3355?\nAnswer: 8432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y + 77*y + 6 = -125. Which is the second smallest value? (a) y (b) 3\/7 (c) 5\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.2, 0.186, 0.5, 5, -30?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 55*t**3 - 4*t**2 - 2*t + 12. Does 27 divide u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 20 - 17) + 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/60*1)\/((-39)\/(-22425)*69)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 95*z - 95*z)*(2 + 2*z - 2)*(-z - z + 0*z).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 6:34 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 - 886*x**2 + 472*x - 6674. Determine g(221).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 167*j**2\/2 - 128*j + 192. Find the first derivative of a(o) wrt o.\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*u + 7*u - 6*u)*(299 - 67 - 56) to the form o*u + g and give o.\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725385.\nAnswer: 5, 61, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -266 - -432. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drdf when four letters picked without replacement from {r: 1, d: 3, h: 10, f: 1, i: 2}.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**6\/40 + c**5\/15 - c**4\/6 - c**3\/6 - 10*c**2. Let o(t) = t**3 + t**2 - t. Let a = 24 - 20. Determine a*o(z) - r(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*t = -21, x - 6*x = 3*t + 30 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1865*d + 3995. Let w(i) = 467*i - 997. Let r(q) = -6*t(q) - 25*w(q). What is the first derivative of r(p) wrt p?\nAnswer: -485","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 0 - 36. Let u = z - 4. Suppose u*w = 2*m - 2*w - 30, -26 = -2*m + 5*w. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1452 - -1482. Solve -10*r + b = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1649 - 1353 + t + 2336.\nAnswer: t - 666","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 99976.2 grams?\nAnswer: 99976200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 4, 13, -149 in ascending order.\nAnswer: -149, 0, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 6. Let s be u(6). Let h = -4.85027 - 0.14973. Sort h, -1\/6, s, 3.\nAnswer: h, -1\/6, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 19 = -5. Suppose -3*r - y = -4*r. Solve 3*k + r = -4*o + 4*k, 2*o - k = -4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -16*q. Let a be (2\/(-4))\/((-2)\/4). Let y(b) = 28*b - 27*b + a - 1. Give y(k(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - u + 22. Suppose 4*v = -4*y - 4, -4*y - 22 + 6 = 0. Suppose -p + 0*p = v*p. Calculate the remainder when 85 is divided by t(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153559663.\nAnswer: 619, 248077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1100) - (sqrt(1100)*1 - sqrt(1100)))*5 + sqrt(1100))*3)**2 + ((-2*sqrt(99) - sqrt(99))*-6)\/(4*(sqrt(225) + sqrt(9))).\nAnswer: 3*sqrt(11)\/4 + 356400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -n + 86, 3*n = d + d + 78. Is (-15045)\/(-27) - (-10)\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81.9 + -82. Let s be (-1 - 0 - -1)*(-30)\/(-180). What is the closest to a in s, -2\/3, 3\/16?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 20 = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.76, -1 in ascending order.\nAnswer: -2, -1, 0.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, n: 4, d: 5, b: 5}. Give prob of picking 4 d.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 6*r + 6. Let b be l(-6). Suppose -b*o = -o - 25. Suppose o*f - 55 - 30 = 0. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*(-7)\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12) + 1\/1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 - d**4 + d**4 + (3 - 5 + 0)*(-d**4 + 3 - 3) + d**4 + 3*d**4 - 5*d**4.\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(132)*1)\/sqrt(12).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 16. Let r = 6 - 2. Suppose -i + 2*i - 28 = -3*z, 5*i + 31 = r*z. Solve x*d + z = -11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.001?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = 5*h. Let w = 18 + -16. Calculate the highest common divisor of h and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1458))\/((sqrt(189)\/sqrt(3))\/sqrt(7)))**2 + 1.\nAnswer: 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 18*j - 16. Let l(m) = m**3 - 2*m**2 + m + 1. Let z be l(-2). Let y be o(z). Solve -y = -2*x + 3*k + 1, 2*x = 4*k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4359*v**4 - 76*v - 10?\nAnswer: 52308*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 3*o + 5. Let u(a) = -a**3 + 2*a**2 + 4*a - 6. Let j = 5602 - 5606. What is j*y(k) - 3*u(k)?\nAnswer: 3*k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/35922 and 67\/154608288.\nAnswer: 154608288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*1\/(-2) - 84. Suppose -5*b + 4*w = -70, 4*b - 3*w - 25 = 3*b. Find the common denominator of b and (-165)\/f + (-2)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - h**2 + 4*h**2)*(2*h**3 + 0*h**3 + 0*h**3 + (h**2 + 2*h**2 - 2*h**2)*(-5*h + h + h)).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -5*a**2\/2 + 7*a - 104. Let q(z) = -10*z + 14. Let b(k) = 7*o(k) - 4*q(k). Let g(d) = -d**2 - d + 1. Determine b(u) + 5*g(u).\nAnswer: -5*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3527*k**3*v**3 + 491557*k**3*v**2 + 3*k**3*v - 27*k*v**3 wrt v.\nAnswer: -21162*k**3 - 162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w. Suppose -4*b + 2*i + 8 + 2 = 0, 3*i = b - 5. Suppose m - b*m + 3*f = -12, -m - 16 = 4*f. Suppose m = -2*s - 4 - 0. Give j(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5445\/2 + 2725. Let p = -0.2 - -0.23. Which is the closest to 1? (a) p (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 g, and 1 z when three letters picked without replacement from tpgptfznppgtptpzn?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -356 - -360. What is the units digit of 211887\/171 + h\/(-38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 162. Determine a(58).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyiihygmx. What is prob of sequence yy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 3*i - 3\/2*i**2 + 4\/3*i**3 + 0 - 1\/12*i**4. Calculate the lowest common multiple of 20 and o(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = -63. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((26\/(-5))\/(68\/170))\/((-8)\/8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2 - 88*h - 53. Let q be w(-14). Solve 2*a = 2*b + 12, -q*b + 0*a + 4*a - 23 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 440736 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-495)\/6*-1*((-1521)\/189 - -8) and 19\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + sqrt(1088) + sqrt(1088) + 5)*-1*4)**2.\nAnswer: 3840*sqrt(17) + 157072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -1 - 2\/(6\/15)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 7*x**2 + 141*x - 825. Determine a(5).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.366121 years in millennia?\nAnswer: 0.004366121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**8\/10080 + o**7\/3780 - o**4\/8 + 3*o**2. Let d(c) be the second derivative of y(c). Factor d(v).\nAnswer: -2*v**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101.8 + 102. Which is the smallest value? (a) 2\/11 (b) o (c) 24 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38380?\nAnswer: 2, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9570\/957*(-1)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33.5, 2, -0.2, 0.\nAnswer: -33.5, -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.7 - 10.8. Let x = -6 - j. Let l = x + 4.9. What is the nearest to -0.1 in -4, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19308, -41136, -62964, -84792?\nAnswer: -106620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 44*o**2 - 139*o - 267. Does 33 divide c(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47433 and 19497?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2 + 131*o + 202. Calculate k(-25).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + -130?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 49434222.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3630 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1882 - 996. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + 399*k - 5794. What is d(13)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -423299173*u**4 - 599020823*u**2.\nAnswer: -10159180152*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22d694 + -8?\nAnswer: 22d68a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -821, -2882, -8589, -19766, -38237, -65826, -104357, -155654?\n\"Answer: -304*b**3 + b**2 + 64*b - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101011110101111100011 + 1?\nAnswer: 11101011110101111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 14, z: 5}. Give prob of sequence cczz.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**4 + 2*q**2 + 5*q - 2. Let m(a) = -a**4 - 3*a**2 - 4*a + 3. Let i(y) = 3*f(y) + 2*m(y). What is the second derivative of i(d) wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9810 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjjjjjjtjjj. Give prob of picking 4 j.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/2649 and 16\/264017.\nAnswer: 792051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 - 4. Let m = -19\/4 + 5. Let c be ((-3)\/2*-1)\/(-9). What is the second biggest value in c, m, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38445, -76874, -115277, -153642, -191957?\nAnswer: -230210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 11. Suppose 3*n - 24 = 18. Let m be a(n). Factor -l**5 + m*l**4 + 4*l**2 + 2*l**5 - 20*l**4.\nAnswer: l**2*(l - 2)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13830926 divided by -1.\nAnswer: 13830926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 1)*6\/15. Let b be 40\/6 + y\/3. Suppose 0*h + 5*h - 30 = -5*c, 3*h = 3*c - b. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 2*j. Let l(d) = -d**3 + d. Calculate -2*l(k) + r(k).\nAnswer: 2*k**3 - k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3517 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*x**2 + 11*x**2 + 12469995*x - 12469991*x.\nAnswer: -21*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 31*w - 3*w**2 + 10*w - 3*w**2.\nAnswer: -4*w**3 - 6*w**2 - 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**5\/4 - 37*h**4\/2 - 139*h**3\/2 + 38*h**2 + 831*h\/4 - 315\/2 = 0?\nAnswer: -70, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**6 - 1953*j**3 + 3*j**2 + 5*j + 481 wrt j.\nAnswer: 600*j**3 - 11718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 515 + 1096?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 7:15 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1185*j*w**4 - 2*j*w**3 + 2344*j wrt w.\nAnswer: 4740*j*w**3 - 6*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 12:50 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o + 9*o - 32*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -11 + 11 - (5 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = z. Is z + 4\/2 + 16 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Suppose 0 = z*g + 20, -3*q = -5*g + 49 - 156. Suppose -13*p + 6 = -11*p. Solve -5*k + p*k + 10 = -5*c, q = -5*k - c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -486, -1093, -1942, -3033, -4366?\nAnswer: -5941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l + 4. What is the third derivative of -r**2 + 2*r**l - 2*r**6 - 4*r**2 wrt r?\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124 - -11?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8 = 5*f, 0*c - f = 4*c - 25. Suppose 0 = c*v - 2*v - 30. Suppose v*o - 814 = 4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwk when four letters picked without replacement from mmtmzkmwkwcz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169402683*j**5*l - 2*j*l + 3*l - 7714937 wrt j.\nAnswer: -3388053660*j**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-42)\/1440*(516 + 32)?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjdhh. Give prob of sequence tj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-4) + (153\/12 - 2\/(-6)*-39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10807629 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y. Let p(s) = 11651*s**2 + 84*s + 14. Let a(g) = 9707613*g**2 + 69990*g + 11665. Let r(l) = -14*a(l) + 11665*p(l). Calculate r(b(u)).\nAnswer: 20997*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*f + 4 = 4*z, 5*f = 5*z - 15. Let h(x) = 16*x + 13. Let i be h(z). Suppose 3*a - a = -2*r + 272, 0 = -r - 2*a + i. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 9:30 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 5)*(-11 - 2). Let u = o + 19. What is the remainder when u is divided by (-4 - -6)\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13 - -16*(-9738)\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -624396, 0, 3, 4 in descending order.\nAnswer: 4, 3, 0, -624396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from lllllollllolllolll.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1523191569281\/15 - 298076404611206507\/2935380. Let h = 2\/48923 - t. Calculate the common denominator of h and (-578)\/(-240) - 6\/(-48).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*f - 12, -3*j = 3*f - 5*j + 6. What is the third derivative of i**2 + 4*i**5 + f*i**2 + 2*i**2 wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2465897.\nAnswer: -5\/2465897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 5. Let z be r(-10). Is 15 a factor of z\/(-5) - (-86)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103 and 1957.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(170)\/(sqrt(10)*2)*3.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 654\/(-28)*(-72)\/108 - (-3)\/7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195812469 rounded to the nearest ten thousand?\nAnswer: -195810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28856621.\nAnswer: 239, 120739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*h + h**2 + 2*h**2 + 12*h**3 + 30*h as f*h + a + d*h**2 + k*h**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 4*t**2 + 4*t - 2. Let a be x(-5). Suppose a*h + 2*h - 20 = 0. Suppose -2*n = -n - 4. Solve -g - h*w - n = 3*g, 0 = -3*g - 4*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 962*b - 15. Is k(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 18*z**2 + 20*z + 24. Let p be a(-19). Suppose -p*h - 11 = -26. What is the tens digit of (14\/(-4) + -2)\/(h\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 108 = 2*j, -4*j - 4*u = -j - 162. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*l + 35*l = 27*l + 28*l - 5248 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6.4255*-1206\nAnswer: 7749.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = h - 1, -3 = -3*h + 2*c. Is h*-145*21\/(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = x + x. Suppose 5*s = 10, 2*a - 2*s + x = -3*a. Let z be (1 - (a - -1)) + 3. Solve 13 = 5*g - 3*f, 4*g - z*f + 15 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -261, -391, -521?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + u. Let g(h) = -6*h**2 + 28*h - 141. Let v(k) = 5*f(k) + g(k). Let c be v(27). Which is smaller: 24 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + a**2 + a + 14. Suppose 2*r + 0*f = -f + 2, 2*r - 26 = 5*f. Suppose 3*m + 6 = -z, 0 = r*z + m + 2. Is g(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 19 = -3*u + 10, b + 2 = 0. What is the closest to u in -54, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(4)\/sqrt(2))*2.\nAnswer: 2*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152, -7, -272, -643?\n\"Answer: -53*t**2 + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, -14\/9, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-600)\/3960*(-6)\/5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**10\/p*p)\/p)**0\/((p\/(p**4*p))\/p*p)**(2\/31))**18 assuming p is positive.\nAnswer: p**(144\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + (3 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*u + 3*u = -1999, 0 = -v - 3*u + 405. Let s = -10 - -14. Suppose s*q = q + v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11616*q**4 + 44280 wrt q.\nAnswer: -46464*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + (32\/176 - 784\/(-44)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 291 - 91. Calculate the least common multiple of 6 and v.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 395\/4. Which is the smallest value? (a) -2\/13 (b) -1\/2 (c) 1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -175 at least -152830\/873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*p + 68, -3*p - 5*f - 23 = -68. Let s be (23 + -2)\/(4\/(-16)). Let l = p - s. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2, 0 = -3*h + 3*j - 18 - 9. Let v(r) = -219 - 7*r + 2*r**2 + 215 - 3*r**2. What is v(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 518674\nAnswer: -2074696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -11.9. Let t be (-5 + 1)\/2*-7. Let o be 4\/t*(-6)\/4. What is the second smallest value in -2, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 10. Let i be m(10). Suppose -5*f = -2*j + 118, i*j + 3*j + f = 177. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-34)\/(-34))\/((-1)\/7))\/1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**4 - 7929021*k**3 + 65656317.\nAnswer: -4*k**3 - 23787063*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y - 5*b = -31, 0 = -5*b + 15. Sort y, 0, -4, -2 in descending order.\nAnswer: y, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*r + 3543 = -406*r - 19645 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-47 - (36 + -65)) + 1 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/2 - -6)*(-48)\/(-18) - 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 73\/4 - (-6)\/8. Let u = -18 + o. Let i(r) = -5*r**2 + r - 1. Give i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -18*l + 7\/6*l**3 + 0*l**2 + 0. Determine z(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b. Let s(i) = 13*i**2 - 3*i. Let z = 75 - 78. Let w(p) = -14*p**2 + 4*p. Let o(d) = z*w(d) - 4*s(d). Determine c(o(m)).\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189.\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79759, -159363, -238967, -318571?\n\"Answer: -79604*i - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, -1363, -5639, -13969, -27703, -48191, -76783?\nAnswer: -114829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 0*q**2 - 4*q**2)*(-10*q**2 - 3*q - 1 + 12*q**2 + 4*q).\nAnswer: -4*q**4 - 2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1636793, 1636763, 1636683, 1636529, 1636277?\n\"Answer: -4*i**3 - i**2 + i + 1636797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**4 + 3333*h**3 - 900237*h**2 - 14263605*h = 0?\nAnswer: -15, 0, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -104045?\nAnswer: 104022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5404.974288 + -5405. Round z to 4 decimal places.\nAnswer: -0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169834 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3 + 0 - 1 - 1 + 6 - 2 - 2 - 2 + 1 - 1 + (5 - 2 - 2)*(-1 + 0 + 0) + 2 - 2 - 2 + 1 + 3 + 0)*(2*a + 0*a - a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -5, -2, -25, -4.\nAnswer: -32, -25, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000165297147 rounded to seven decimal places?\nAnswer: 0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxpxwqxpwxxxxxxpz. What is prob of picking 2 x?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**3 + 1250*s**2 + 308*s - 628. What is t(-156)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/40 - 474\/(-48). Suppose -15*u = -i*u - 20. Let c(f) = 5*f**3 + 2*f**2 - 2*f + 1. What is the smallest common multiple of c(1) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - b**3 - 2 + 4*b - 5*b + (-2 + 3 + 1)*(2*b**2 + 2*b**3 - 2*b**2).\nAnswer: 3*b**3 - b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9*p = -66. Calculate the remainder when 29 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -47716.\nAnswer: -5\/23858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*b**3 + 225020*b**2 - 44616915*b - 90134030 = 0. What is b?\nAnswer: -2, 203, 44401\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -42363134 and -2.8.\nAnswer: -42363136.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151890346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -652632 - -0.1.\nAnswer: -652631.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*f*u - 197*c**3*f - 2*c**3*u**2 - 29*c**2*u**2 + 2*f*u**2 - 2*f*u wrt c?\nAnswer: -6*f*u - 1182*f - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10873 is divided by 117.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 + 3 - 3 + (q**2 - q**2 - 2*q**3)*(2 - 2 - 1) - q**3 - 4 + 4 + (-q - 2 + 2)*(-q**2 + 0*q**2 + 3*q**2) + 3*q**2 - 3*q**2 - q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**43)**(-45))**(1\/4) assuming k is positive.\nAnswer: k**(-1935\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -0.4, -2, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*h - 16*h - h**2 + (-2 + 2 + 2*h)*(-h + 3*h - h) - 3*h**2 - 2*h**2 + h**2 + (4*h - h + h)*(-2*h + 0*h + h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.86428 + 0.13572. Which is the closest to 0.4? (a) f (b) 2 (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*-2 + 53955\/6540. Factor -5\/4*o + 1\/4*o**4 + 0 + 5\/4*o**3 - g*o**2.\nAnswer: o*(o - 1)*(o + 1)*(o + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - i**2 - i - 1. Let l = -28223 - -28224. Let f(v) = -v**3 - 2*v**2 + 5*v + 7. What is l*f(a) + 5*q(a)?\nAnswer: 4*a**3 - 7*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2453296\/10143 - 396\/1127. Let x = m + 242. Let q be (1 - 2\/3)*-5. Which is the third smallest value? (a) q (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615*w**2 - 609*w**2 + 19 + 31.\nAnswer: 6*w**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -170, -4.\nAnswer: -170, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1005 (base 7) in base 15?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 233*u - 7119. List the prime factors of j(122).\nAnswer: 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4. Let i(f) = 5 + 5 + 0*f + f - 6. Let l(b) = 3*i(b) + 4*u(b). Differentiate l(g) wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**3 - 14*b**3 - 9*b**3.\nAnswer: -39*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4\/5))**(1\/28)\/(l**(-24)*l\/(l**(-5\/7)*l)) assuming l is positive.\nAnswer: l**(467\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*d - 28*d + 35*d)*(2*d - 7*d + 16*d + (5 - 2 - 2)*(0*d + 4*d - 3*d)) to w + y*d + n*d**2 and give n.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xowo when four letters picked without replacement from owxooowxxxw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36007.\nAnswer: 36007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -178\/3733 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 12*k**2 - 28*k + 20. What is the tens digit of m(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 17*b - 1127. Calculate the least common multiple of 116 and b.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 326848260 from -0.41.\nAnswer: -326848260.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 514, 1490, 2926, 4822, 7178?\nAnswer: 9994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1346 - 1284. What is the remainder when 308 is divided by n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*c - 4*c. Calculate the remainder when 18 is divided by 5\/(c\/(-4)) - -12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1278, -8633, -20884, -38025, -60050, -86953, -118728, -155369?\n\"Answer: r**3 - 2454*r**2 + 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*(q\/q**6)\/q)\/q*q*q**33\/q)\/(q\/q**(-2\/53)*q)**(-3\/13) assuming q is positive.\nAnswer: q**(19616\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 3*i. Let z be n(2). Suppose 6 = 3*h - z*l, 2*l = -3*h + 26 - 8. Solve h = -c + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -20 - 17 - (3 - 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 + 11)\/(-1)*-48611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 7:32 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289678511?\nAnswer: 1277, 226843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4 + 9\/2). Suppose 69 = -k*d - 851. What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142344 (base 5) to base 6\nAnswer: -43354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-4)*r)\/((r\/((r**(1\/6)*r)\/r*r*r))\/r))**19 assuming r is positive.\nAnswer: r**(1045\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14525 times -12?\nAnswer: 174300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 2*n**2 + 3*n + 5. Let l be x(5). Suppose -4*q + 33 = -l. Calculate the highest common divisor of q and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*o + 136, -3*n + 114 = 4*o + 28. What is the highest common divisor of n and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1616 by 101.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**3 - w**2 - 7. Let a(d) = -5*d**3 + d**2 + 6. Give 3*a(g) + 2*n(g).\nAnswer: -3*g**3 + g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 - 1 + 1 + (i**2 - 3*i**2 + 4*i**2)*(-4 - 1 - 3).\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2504512.\nAnswer: 2, 39133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 622*f**2 - 95*f**2 + 203*f**2 in the form o*f**2 + q*f + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 713*w - 11659. What is h(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20)*(-18)\/27\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -8. Let y(a) be the third derivative of -1\/480*a**6 + 0*a - 1\/120*a**g + 0 + 0*a**3 - 1\/96*a**4 + 4*a**2. Find d such that y(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 14*p**2 - 6*p + 15. Let l(t) = -8*t - 4. Let n be l(6). Let r = -67 - n. Let c be m(r). Round c to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419395981 divided by 2.\nAnswer: -419395981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 4.96331?\nAnswer: -4.56331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*v**2 - 48\/5*v + 2\/5*v**3 - 56\/5.\nAnswer: 2*(v - 7)*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 6:49 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2*((-207901)\/(-134))\/(-107)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29667 and 29986?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2318*l - 2317*l - 1 = 0, -4*t - 3*l = -207. Solve -109 = -40*v + t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -8*t + 13*t. Let q be (-156)\/(-15)*805\/t. Suppose 5*o = q + 1267. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268273607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-675)\/(-4455)*(-3)\/(-10).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244406933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 1, s: 3, u: 2}. Give prob of picking 1 g and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15252836 a multiple of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*s\/(s\/(s*s\/(s*s**(-11))*s*s)))\/s*s**2\/s*(s**(1\/5))**(3\/7) assuming s is positive.\nAnswer: s**(563\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5017*c + 835740 - 308955 = 0 for c.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 289437.4 millimeters?\nAnswer: 289.4374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 648636785.4 rounded to the nearest 10000?\nAnswer: 648640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*m - 3729*m + 207476 = 583786 for m.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22310 by -2.\nAnswer: 11155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -687*z**3 + 686*z**3 + 3*z**2 + z - 2*z**2 - 5. Let j(l) = -l - 2*l + 7 + 2*l. Let p be j(7). What is q(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 3. Let h = 10 + -5. Let m be w(h). Put 2, m, -5 in ascending order.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3227 divided by 91666?\nAnswer: 3227\/91666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223079*u**2 - 111539*u**2 - 46*u**3 - 111540*u**2 + 45*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*r - 6021 = 0, 5*r = 5*n - 15142 - 14948. Suppose o + n = -3985. Round o to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/942513 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 126. Let y = w - -51. Find the third derivative of -456 + 456 - 3*z**5 + 12*z**y wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 6:49 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -273472*x**4 - 184186.\nAnswer: -1093888*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 - 133*m**2 + 0*m + m**3 + 0*m + 9*m**4 + 130*m**2 + 2 to r*m**2 + z + k*m**4 + a*m**3 + o*m and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j - 100. Calculate the remainder when 167 is divided by f(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9\/2, -4, 184, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(7\/51)*-1. Let w = k + 50. Let o be (1 - (-4 - -3))*(-2)\/w. Solve -i - o*a = 19, -i + a - 8 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c + 0 + 12*c**2 + 47\/30*c**6 + 1\/60*c**5 + 2\/3*c**3 - 1\/8*c**4. Let w be z(-4). What is w rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 - -902\/7. Put -0.2, 2, 0.1, f in ascending order.\nAnswer: -0.2, f, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.795025 milligrams to grams.\nAnswer: 0.007795025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1871, -1855, -1841, -1829, -1819?\n\"Answer: -m**2 + 19*m - 1889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 148, 290, 418, 526, 608, 658?\n\"Answer: -y**3 - y**2 + 152*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 57*b**2 - 220*b - 960. Give w(-3).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-12)*(-812)\/29.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/2))**44\/((m*m**(2\/27))\/m**(-2\/13)) assuming m is positive.\nAnswer: m**(22735\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/((p*p\/p**(-5))\/p))*p\/p**(1\/4)*p\/p**(-6)*p**4*(p**(2\/7)*p)**(-1\/41)*(p*p**(-1\/2))\/p**(-3) assuming p is positive.\nAnswer: p**(24359\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 + 4712. Let q(a) = 3915*a**2. Determine q(p(l)).\nAnswer: 3915*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:32 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.06 + -0.06. Let s = 5 - 6. Which is the nearest to s? (a) u (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*t**4 + 10*t**4 - 8*t**4 + (-t + t + t)*(4*t**2 - 4*t**3 - 4*t**2).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/5855679 and 52\/99.\nAnswer: 64412469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from jtjttytj?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27347 - -6757. Let c = 993 - z. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 2*o + 22 = 0, 3*h - 286*o - 26 = -291*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*-6 + -3*sqrt(77)*2)\/(3*-2*sqrt(252)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l + 143 = 5*q, -2*q = 4*l - 50. Suppose 4*f + 7 - 27 = 0, 25 = 5*r - f. What is the remainder when q is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 34. Let d(q) = 2*q - 5*q - n - 2*q - 5*q. Let i(h) = 7*h + 1. Calculate 5*d(y) + 7*i(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 125*p**2 - 10*p - 32. List the prime factors of o(-6).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 4*m**3 - m**3 - 5*m**4 - 3*m + (m**3 + 3*m - 3*m)*(-492*m + 64*m - 310*m).\nAnswer: -743*m**4 + 3*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -251064 + 335?\nAnswer: -250426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 5*k - 6*k)*(-3*k + 4*k + 4*k).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*x - 786, 78 - 470 = -2*x - 3*r. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(72)*-3 + 2)**2*-4 + 3*(2 + (sqrt(72) - sqrt(72)*1))).\nAnswer: -1440*sqrt(2) + 13010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833518 divided by -59537.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012 divided by 6?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 3*j**7\/14 - j**4\/4 + j. Find the third derivative of n(c) wrt c.\nAnswer: 540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*b + 2*x - 3*x, 2*b = 4*x + 12. Suppose 2*t - 2*w = -8, -2*t - 6 = -3*t - 4*w. Sort t, -4, b.\nAnswer: -4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f - 18. Let z(m) = 5*m - 17. Let g(w) = 2*c(w) - 3*z(w). Let p be g(10). Let n(s) = s**3 - 6*s**2 + 2*s + 6. Give n(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 6 + (-6 - (-20 + 8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361 divided by -123.\nAnswer: 361\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-819)*-7)\/(2398\/99)?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 217125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 10*p**2 - 4*p - 15. Let r be 5\/(-1 - 14)*-24. What is the tens digit of t(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146948482 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -18*g - 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*q + 123, -g + q = -0*g - 21. Solve 0 = -5*r - 4*w - 2 + g, -r + w = -6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10033324 - -250?\nAnswer: -10033034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 10 = -4. Let d be 1\/(-3) - 10\/(-3). Let f(k) = -3 - s*k + d. Let t(x) = 4*x**2. What is f(t(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 400, 901, 1602?\nAnswer: 2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 6, m: 4, z: 4}. What is prob of sequence ma?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r - 3*r)*(0*r + r - 3*r) + 6*r**2 - 7*r**2 + 5 - 2 - 2 + 2 - r**2.\nAnswer: 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.1, -33, -0.56?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*a**4*q - 620452*a**3*q**3 + 3*a**3*q - a**2*q**2 + 3*a*q**3 + 123*a*q**2 - 101481*q wrt a?\nAnswer: 1584*a*q - 3722712*q**3 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24345122 (base 6) to base 14\nAnswer: 162bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 368 + 23 = 0. Does 30 divide 2\/(z\/(-38) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*n**4 - 18*n**3 - 94*n**2 - 31*n?\nAnswer: -624*n - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220467 is divided by 121.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 0, -4*h + 99 + 3 = -k. Let t = -102 - k. Suppose -l + t*l = -76. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0253 + -0.269.\nAnswer: -0.2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 33 = -10*a, a + 15 = -84*o + 80*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -576 + 717. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/4 - (-25)\/(-15)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-13\/3)*((j**(8\/13)\/j)\/j)\/j assuming j is positive.\nAnswer: j**(115\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 23*b = -24. Suppose 0 = -2*x + 2*u + b, 2*x + 2*u - 8 = -0*u. Suppose -y + x = -2*g, -4*y - 3*g - 12 = -9*y. Is 6\/25 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 7*q - 2*q. What is the remainder when q is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 93264?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05979482538 to six dps.\nAnswer: -0.059795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f - 5. Let j be a(-9). Suppose -2*q - 5 = -37. What is the highest common factor of j and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -726 take away -1.2?\nAnswer: -724.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 3)\/(4 + (-51)\/12). Solve 16 - x = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -9.4. Let i(t) = 2*t + 7. Let n be i(-6). Which is the nearest to 0? (a) -3 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 2*w**7\/231 - 19*w**6\/660 - 3*w**5\/110 + 4*w**4\/33 - 4*w**3\/33 + 2*w**2 - 803*w. Determine i, given that z(i) = 0.\nAnswer: -1, 2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 4:43 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-9)\/12*-4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 394 - 389. Solve -5*t + 10 = -h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6092 - -25?\nAnswer: -6067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-21) - 3476\/18249. Let a(r) = 16*r + 12. What is a(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 a when four letters picked without replacement from zzzzzaazza?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 13. What is the remainder when 69 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -14*h + 73. Let j be a(5). Suppose -j*d = 3*d - 30. Let s(r) be the third derivative of r**4\/24 - 11*r**3\/6 - r**2. What is s(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 4*y + 20 = -t, 3*t - 2*y - 8 = 0. Suppose t = 4*j - j - 60. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 3626.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12057\/8 - 1495. Let t = 13749\/5 + -2761. Find the common denominator of t and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 571*h = 71*h + 277*h - 5129 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2206 (base 10) to base 9.\nAnswer: -3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/5 of a millimeter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 782.8794 kilometers?\nAnswer: 78287940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from eznnnldnrlzr.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5239082861?\nAnswer: 5239082861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624) - (sqrt(624) + sqrt(624) + sqrt(624) + sqrt(624)*1*3))\/(-2*2*sqrt(12)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -57\/5 (c) 1\/5 (d) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12312898*k**4 - 184885 wrt k.\nAnswer: -49251592*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**2 - 32*i - 3. Calculate y(5).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 46*x**2 - 45*x + 67. What is the units digit of g(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -1\/4 (c) -3\/5 (d) -5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, -0.4, 148583 in ascending order.\nAnswer: -0.4, -2\/29, 148583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 49. Let a = 44 - h. Solve 2*u + 25 = -5*k + 4, a*u = 3*k + 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3476 and 517924.\nAnswer: 517924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 + 251. Calculate the remainder when g is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45167*i**2*n**3 - 56*i**2*n + 2*i**2 + 2*i*n**2 + i*n + 55*i + 4*n**3 + 9 wrt n?\nAnswer: -271002*i**2*n + 4*i + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(3 - 2*d + 4 + 4).\nAnswer: -4*d + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -7 - 13\/5*j**5 + 8*j + 0*j**4 + 0*j**3 + 0*j**2. What is the derivative of a(c) wrt c?\nAnswer: -52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1102436, 2204311, 3306186?\n\"Answer: 1101875*v + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - s**3 + s**3)*(1256*s + 2395*s + 3094*s).\nAnswer: -13490*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24050248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 9 = 2*g. Let o(k) = -k - g + 0 + k**2 + 1. Is o(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(153) + -3 - ((((sqrt(833) + 1 - sqrt(833)) + sqrt(833) - sqrt(833)) + sqrt(833) + sqrt(833) + sqrt(833) - sqrt(833)) + sqrt(833)))*6)**2.\nAnswer: 5184*sqrt(17) + 198864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5 - 15. Let y be 624\/(-10)*p*1. Is (y\/28)\/(3\/21) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 93, 156, 231, 312, 393?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10*13\/78. Let c(j) be the second derivative of 0*j**2 + v*j**3 + 1\/60*j**4 + 0 - 2*j. Let c(r) = 0. Calculate r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 43. Let j be v(-18). Suppose -j*r + 7 = -24*r. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 + 42*h**2\/5 + 87*h\/10 + 11\/5.\nAnswer: -(h - 22)*(2*h + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60384 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o - 36. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d**2 + 1335*d - 4005. Let w(a) = 2*a**2 + 334*a - 1000. Let j(k) = 4*g(k) - 18*w(k). Let j(p) = 0. What is p?\nAnswer: 3, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 20 = 7*s. Let h be (-635)\/s + (-12)\/16. Let z = -94 + h. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 487, -18, 3, -78, -3 in descending order.\nAnswer: 487, 3, -3, -18, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4 = q, 4*k - 2*q = -6*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1667*z**3 - 844*z**3 - 845*z**3.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g**4 + 2*g**3 + 56. Let m(q) = 12*q**4 + q**3 + q**2 + 52. Let i(o) = -4*l(o) + 5*m(o). Find the third derivative of i(v) wrt v.\nAnswer: 288*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*h - 30 = 0, 12 = 4*l - 6*l - 4*h. Is 3 + 711\/(9 + l) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0 + 0*p**3 + 16*p**2 - 1\/288*p**8 - 1\/60*p**5 - 1\/105*p**7 + 0*p + 0*p**4 + 5\/144*p**6. Determine w so that h(w) = 0.\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 - 6. Let p(f) = 2*f**3 + 6*f**2 + 5. Give 6*p(s) + 5*v(s).\nAnswer: 7*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -186 times -5\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1979, 2010, 2031, 2042, 2043, 2034?\n\"Answer: -5*m**2 + 46*m + 1938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 73 + 8 = -2*l, 4*l = k - 165. Let z be (l\/35)\/((-6)\/220). Let p = z - 4. Calculate the greatest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4966679 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 187194182 from 0.03.\nAnswer: -187194181.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 10. Let j(v) = -v**3 + 2*v**2 - v + 1. What is the tens digit of j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 4*g**2 + 0*g + 1\/15*g**5 + 0 + 0*g**3 + 1\/24*g**4. Give r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159*r - 74*r + 92*r - 302*r)*(-r**3 - 3*r + 3*r).\nAnswer: 443*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92187.14nm to kilometers.\nAnswer: 0.00000009218714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 3:24 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/312*6)\/(4\/(-26))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -371*f**4 - 17931*f**3 + 2*f**2 + 6862*f - 126?\nAnswer: -8904*f - 107586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4286 = -4*u, 4*x - 21*u + 20*u - 17084 = 0. What are the prime factors of x?\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 0 (c) 125\/17 (d) -3\/8 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -1 - (-34 + 35) - -13.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 58*c**3 + c. Suppose 0 = -54*o + 64*o - 10. Let n be u(o). What is the highest common divisor of n and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 4*m**2 - m - 1. Suppose 8 = 2*h - 4*h. Let c be p(h). Suppose b - c*w - 15 = 0, 5 + 0 = -w. Solve -3*n = 5*t - 8, 2*t - 16 = 2*n - b*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.9784405*0.48.\nAnswer: -1.42965144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 16 = 4*h + 4, v = -3*h + 9. Suppose j - 118 = -4*z, -2*z - 2*j - j + 54 = v. Let f = -3 + z. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 9*t + 0*t**3 - 2\/3*t**4 + 1\/10*t**6 + 0*t**2 + 0*t**5 + 0. Find the third derivative of f(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.34 - -0.16. What is the closest to -1 in 3, -5\/6, f?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-12 - -3)) + -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*s**3 + 308\/5*s + 112\/5*s**2 + 40 = 0.\nAnswer: -25, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9126)\/(-9) - -8) + 4*-1. Let t = z - -255. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -33. What is the tens digit of 2\/6*i\/(-16)*-106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -175, -954, -2245, -4042, -6339, -9130, -12409?\n\"Answer: i**3 - 262*i**2 + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvyvyvy. Give prob of picking 4 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:10 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -44. Let b(c) = -c + 87. Let x(g) = -3*b(g) - 7*d(g). What is the remainder when 137 is divided by x(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 23*r + 6. Let i(h) = h**3 - 59*h**2 + 110*h + 299. What is the remainder when v(18) is divided by i(57)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 greater than -1943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11035 (base 6) to base 8.\nAnswer: -2777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494414429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - 16*x + 17. Let h be o(1). Let r be (8\/6 + -2)*-3. Suppose 2*w - 40 = -r*w. Calculate the greatest common divisor of h and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + b + 65. Determine h(0).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7449, -14690, -21523, -27744, -33149, -37534, -40695?\n\"Answer: 34*o**3 - 7479*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 80, 107, 134, 161?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2. Let c(j) = 39*j. What is c(z(n))?\nAnswer: -78*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -17. Solve 2*s - k = -4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22401340 (base 5) in base 11?\nAnswer: 127479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*n - 8 = 4*n, 2 = 2*n. Suppose 0 = f - k - 2. Suppose -i + 2 = 2*z + 2*z, 5*z - 4*i + 8 = 0. Solve -f*u + z*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = 3, 2*z = -5*n - 5. Suppose 0 = -4*l - l - z. Let x = -15 + 12. Sort 5, x, l in descending order.\nAnswer: 5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -123*g**5 + 86589*g**4 - 1192095*g**3 + 4129503*g**2 + 101430*g = 0.\nAnswer: -1\/41, 0, 7, 690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {a: 7, h: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5 (c) 2\/3 (d) -774 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30758, -49586, -68414, -87242, -106070?\nAnswer: -124898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-45)*-24*(-150)\/1120.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05627 and -452?\nAnswer: 451.94373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 576 and 2016?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.872867m?\nAnswer: 7872.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 171497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 2*c + 5. Let l be 14\/4 + (-22)\/44. Calculate the greatest common factor of c and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/(-46172)*97)\/(1*(-6)\/51).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 2140110321?\nAnswer: -2140110321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 = -7*t + t. Suppose 3*k + t = 4*y, 0 = k + k - 4. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/100*(-755)\/453\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -16. Let p be (48\/15 - 4)*f. Let t be (-18)\/(-12)*(2 - 4\/(-3)). Solve 23 = -5*g + z, -p*z = t*g - 0*z + 33 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -7*s, 2*m = 2*s. Suppose m*w - 56410 = -5*w - 5*f, -4*w = -2*f - 45158. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 11*s**2 + 27*s**2 - 60*s**2 - 4*s**3 as g + k*s**2 + f*s + q*s**3 and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2173 is divided by 145?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 8*w - 4. Let o(k) = -9*k**3 + k**2. Let r be o(1). Let l be a(r). Let t be 1\/l + 102\/24. Let m(y) = -y**2 + 4*y + 3. Determine m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 605.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -119*m + 798. Let g(i) = 42*i - 266. Let t(u) = 11*g(u) + 4*y(u). Calculate the remainder when 307 is divided by t(17).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9659061 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2231.6 and 24037.\nAnswer: 26268.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395238966?\nAnswer: 2, 3, 71, 927791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x - 25 = -23*x + 3*t, -21 = -2*x + 5*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.976546 + -7.8075. Let l = a - -4.83. What is l rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 324546610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000692984 rounded to six dps?\nAnswer: -0.000693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t - 3560 + 92. Let z = 1633\/8 - t. Sort 2\/9, -0.5, 4, z in descending order.\nAnswer: 4, 2\/9, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -761, -4, 5602, -2 in decreasing order.\nAnswer: 5602, 5, -2, -4, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 4*s + 7*h, 5*s + 89*h - 334 = 106 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6723\/(-81) - -34 - -46.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4724200 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 o when four letters picked without replacement from ovoooooo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*35\/(-189)*(-6)\/5)\/(-12)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16139 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l + 32. Let n(p) = -p + 2. Let t(j) = -24*n(j) + 3*r(j). Let a be t(15). Solve -m - 2*v = -7, m - 3 - 5 = -a*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-67 - -6)) + -12 - (10 - 3).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j - 28 + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*79\/(26544\/(-288)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 3*y - 42 = 39*k, 2*k + 37 = -3*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64233 less than -108\/455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 645153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {y: 8, w: 2, c: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*s + 14961, 4*a + 101*s - 97*s = 59972. Is 81 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*y - 10*y + 11*y as x*y + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 3 - 3)*(7 + 0 - 8)*(0 - r + 0)*(-2 - 3 + 2) to the form c*r**2 + m*r + z and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from liipkvjp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3412410 (base 5) in base 2?\nAnswer: 1110101111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 78. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34872 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**5\/20 - 3*i**4\/8 - i**3 - 3*i**2. Factor g(d).\nAnswer: -3*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-365)\/292)\/(90\/12) - 59\/78?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83582 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140015 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*u**2 - 19\/8 + 9\/4*u.\nAnswer: (u - 1)*(u + 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -575c7?\nAnswer: -575bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9991047.79 to the nearest 10000.\nAnswer: -9990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 divided by -5094?\nAnswer: -89\/1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41979.5 years to centuries.\nAnswer: 419.795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2379, 4, 59, -5.\nAnswer: -2379, -5, 2, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**5\/170 + 5*s**4\/34 - 6*s**3\/17 - 32*s**2\/17 + 4*s - 10. Solve i(r) = 0.\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 5*z - 4. Let i = 14 - 10. Let x be m(i). Suppose x = -4*h + 2 + 2. Sort 0, -1, h.\nAnswer: -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 8:02 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 8. Let x be u(-8). Suppose 9 = -x*d + 3*d. Suppose -m = 3*f - 380, 1 = -d*m - 2. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 11*m**2 - 4*m + 50. Calculate the lowest common multiple of k(11) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 10*c + 337534 = 0, 5*t - 10*c + 6*c = 421960. What is the ten thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v - 4. Let -6*i**3 + 10*i**2 - 4*i**v + 2*i**4 - 3*i - i + 2*i**5 + 0*i**5 = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 - 24*b**2\/7 - 18*b\/7 + 216\/7.\nAnswer: 2*(b - 12)*(b - 3)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.8 - 9.8. Let n = 0.2 + -0.4. Sort -2\/5, n, y in increasing order.\nAnswer: -2\/5, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -105 - -146 - 12\/2 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*k**2 + 33*k**3 - 15*k**3 - 1 - 476*k**2 - 17*k**3.\nAnswer: k**3 - 628*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 1)*(-80*n + 0*n - 14*n) to p + b*n and give b.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrjrjr. Give prob of picking 3 r.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 5503692\nAnswer: 5\/1834564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/(-21))\/((-2)\/(-90)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s - 145*s + 144*s - 431*s - 2*s**2.\nAnswer: -2*s**2 - 475*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1800)\/(-130) - 14) + 1 + -1. Let c = 6 - 9. Is h greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 60*k + 2. Let o(s) = -479*s - 17. Give 51*i(w) + 6*o(w).\nAnswer: 186*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 11. Let s be l(-5). Let f be (-3 - -3) + 1\/s. What is the tens digit of f\/(-4) + (-75)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**4\/12 - a**3\/2 + 3*a**2\/2 - 5*a. Calculate j(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3369029 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t - 4*l = -26, 4 = -4*l. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m\/((m*m*m**(-1\/4))\/m)))**(3\/11))**(-22\/5) assuming m is positive.\nAnswer: m**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*i = -28, -8 + 0 = 5*h - 3*i. Let b be 18\/h*38\/(-57). Which is bigger: b or -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 (base 7) in base 10?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -22, -11, 14, 53?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkkhkvmmvvckckh. Give prob of picking 1 v, 1 h, and 2 k.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -4, -329958?\nAnswer: -329958","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10399 - -10386) + (24 - -1) + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 100525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 7) + (-6 + 9 - 5 - -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 >= -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1054075157 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 941353, 941354, 941355, 941356, 941357, 941358?\n\"Answer: b + 941352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 2322480\nAnswer: -6967440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h\/h**41*h**(-3\/22)*h**(-44)*h*h**(-4\/33) assuming h is positive.\nAnswer: h**(-5297\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = b - 8 - 2, 0 = -4*b - 2*h - 10. Suppose b = 4*t + 4 - 28. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28728 less than or equal to 28724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k + 3. Let i(c) = 24*c + 10. Suppose 0 = -9*f + 28245 + 16350. Suppose 5*z - f + 4990 = 0. Give z*t(d) + 2*i(d).\nAnswer: -8*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/3 + 259*p**2\/3 + 344*p\/3 - 2514640\/3 = 0 for p.\nAnswer: -172, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 2 (b) -39 (c) 0 (d) 0.06 (e) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2108\/1020 + 64\/(-36) + 12\/(-54).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, t: 2, p: 1, x: 4, y: 2}. Give prob of sequence tt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -43. Let t = a - -33. Suppose -47 = -b - t. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 6*y**3 + 14*y**3 + 2*y**3 - y**3 - 2*y**3 + (3*y + y - 2*y)*(-5*y**2 + 4*y**2 + 2*y**2))*(0 - 4 + 0).\nAnswer: -72*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10318 + -10320. Which is the closest to 0? (a) 74 (b) s (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.303939ms in weeks?\nAnswer: 0.0000002683596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 4. Let b = 9 - 14. Let w be j(b). Is (-12)\/((-1)\/(6\/w)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88365358493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -6. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 337*w - 5600. Calculate the remainder when y(41) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 8:12 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -956.000459 - -956. Round q to 5 dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-9)*270\/105. Let q(m) = -m**3 + 4*m**2 - 3*m - 4. Let c be q(3). Suppose 4*p + 7 = 3*v, v + 3*v - 20 = 0. Put f, c, p in descending order.\nAnswer: f, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4 - 34*r**3 + 112*r**2 - 104*r = 0.\nAnswer: 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8\/4*4)\/(10\/1145)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2*s**2 - 3 + 0*s**2 - 1.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/17*3*5\/30. Which is the smallest value? (a) 0.4 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/(-22)*(-2)\/(-6)*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3449, -3528, -3693, -3974, -4401, -5004, -5813?\n\"Answer: -5*v**3 - 13*v**2 - 5*v - 3426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 6. Suppose -35 = 7*f - 0. Sort z, f, 5.\nAnswer: f, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 9 - ((-2 - -13) + (-7 - 1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 - 20) + 8 + (0 - 1). Let o(k) be the third derivative of 0*k + f - 1\/12*k**4 - 1\/30*k**5 + 2\/3*k**3 + 3*k**2. Factor o(s).\nAnswer: -2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*1539139\nAnswer: 2308708.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 639*t**2 + 2*t + t to the form b*t + w*t**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105885 and 218970.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 139, 1432, 4921, 11704, 22879?\n\"Answer: 183*r**3 + 12*r - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -53*2\/(-462)*-2. Let q = k - -3\/7. Calculate the common denominator of q and (57 - 52) + (-16)\/15 - -2.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176019*n**3*u + 105*n**3 + 57792*n*u - 2*u - 106 wrt n?\nAnswer: 1056114*n*u + 630*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12801 + 12800.991127. Round x to 4 dps.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 bigger than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 8*b - 41700. Let q be y(0). Round q to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4 - 4*d + 16 - 27. Determine q(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let t(j) be the third derivative of -j**7\/840 - j**4\/8 - 4*j**2. Let r(o) be the second derivative of t(o). Calculate r(f(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 21. Let o be c(-15). Suppose o*m + 1 = 1. Let x be ((-2)\/(-19))\/((-4)\/10). Is m smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1316642? (a) 0 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 1 - 1 + (-t + 0*t + 2*t)*(1 + 2 + 2) + (4 + 2 - 5)*(t - 2*t - t) - 4*t - 7*t + 5*t + 4*t + 4*t - 6*t)*(24*t**3 + 278 - 278).\nAnswer: -72*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -200*q**2. Let p(d) = -240093*d. Calculate f(p(c)).\nAnswer: -11528929729800*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76 + -99)\/((-56)\/168).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(132)*-1)\/(sqrt(48)\/sqrt(4)*3) - (0 + (sqrt(11) - sqrt(396)) + -3 + sqrt(33)\/sqrt(3)))**2 + -5.\nAnswer: 36*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8257214562395.699989 - -8257220407708. Let j = 5845315 - s. Let a = j - 2.7. Round a to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve r + 13*t - 6*t + 14 = 0, -2*r - t = 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13*y**2 + 53*y + 33. Let g(u) = 4*u**2 + 17*u + 11. Let s(d) = -7*g(d) + 2*l(d). What is s(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 195 = 4*q. Let f = 10 - q. Let u = f + 44. Solve 0 = 2*m - 7*m - u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 296*t - 295*t - 120, -2*t - 2*w = -232. What is the remainder when 384 is divided by t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -47 + 45 - -2*466\/4. Calculate the greatest common factor of 99 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 15. Let t = 2 - j. Let f(g) = g + 4*g - 2*g - 5*g - 1. Calculate f(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3020*m*n**3 + 2*m*n**2 + m*n + 5*n**2 + 125*n wrt n.\nAnswer: 18120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u + 32 = -3*b, 0 = -5*u - 4*b - 36. Let q be ((-3)\/2)\/(-4 - -7). Put u, -1, q in descending order.\nAnswer: q, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3219 and 102921?\nAnswer: 3808077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -270 - -273. Suppose k*a = -2*j + 1370, -578 = -j - 3*a + 101. What are the prime factors of j?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 - 120?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 8*y = 5*i + 25, 4*i + 19 = -3*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54, 62, 80, 114, 170, 254?\n\"Answer: a**3 - a**2 + 4*a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 2156?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131395.5309 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17745946 to the nearest integer?\nAnswer: 4213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5720995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*2*sqrt(114)*2)\/((sqrt(600) + -4*sqrt(600))*3).\nAnswer: -2*sqrt(19)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 17608951*m**3 - 17608952*m**3 - 4 + 2*m - m**2. Let h be 2\/(-3) - (-14)\/(-6). Give k(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7 times -30?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g - 20 = 0. Let t = 27 + -27. Sort 2\/13, t, g in ascending order.\nAnswer: t, 2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(325) - sqrt(325)*2) + (2*sqrt(130) - sqrt(130))\/sqrt(10))*-3)**2 + (3*sqrt(208)*-2)**2*5)*-1.\nAnswer: -39312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235513 - 78.6.\nAnswer: 235434.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16010192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - -1) + -9 + 4. Suppose 5*h - 4 = -q - 3, p*h = 0. Which is the second biggest value? (a) q (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r - 0*r. Let a be (1 + -2)*(8 + r). Let j = 30 + a. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 745652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -169, -411, -731, -1117, -1557, -2039?\nAnswer: -2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24417900?\nAnswer: 2, 3, 5, 13, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131905, 263784, 395657, 527524, 659385?\nAnswer: 791240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1842 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -65. Suppose 2*r - 44 = -r - m, -2*r + 5*m = -d. Let w = 0 + r. What is the highest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -13, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (460 - 460 + 56*k + (0 - 6 + 3)*(-k + 3*k + 0*k) - 2*k + k + 0*k)*(0 - 2 + 9).\nAnswer: 343*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -70. Suppose 24*q - k*q = -6. Let n(i) = -7*i - 6. Let f(p) = -13*p - 11. Calculate q*f(a) - 11*n(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -833*k**2 - 4*k - 14. Let g be q(-3). What is g rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -m - 1, 8*m = -4*t + 5*m - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -7 + 5)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 97, 1\/5, -0.2, 5\/124, -3\/7 in descending order.\nAnswer: 97, 15, 1\/5, 5\/124, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = 0. Let t be (-7)\/(-21)*(-36)\/(-26). Which is greater: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14175?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.477 times 0.5\nAnswer: 1.7385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 73*n - 66*n - 40 = -210*n + 76*n, 11*n + 120 = 3*z for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 0.00176549442?\nAnswer: -0.09823450558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*k**2 + 94*k**2 + 259*k**3 - 253*k**3.\nAnswer: 6*k**3 - 153*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2*u**7\/315 + u**6\/5 + 9*u**5\/5 + 283*u**2\/2 + 17. Let n(m) be the second derivative of i(m). Factor n(y).\nAnswer: 4*y**2*(y + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18720 and 161460?\nAnswer: 1291680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 232853807 to the power of 1\/2, to the nearest integer?\nAnswer: 15260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001277 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 981*t + 8490. Calculate k(-8).\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + -116. Suppose 0 = h + 3*g - 4 - 10, v*h + g = 10. Suppose 5*s + 25 = -5*f, 3*s - 3*f = 25 - 10. Solve s = b + b + h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 0*g**2 - 2*g + 4*g**2)*(-12*g**2 + 1641*g - 3197*g + 1632*g).\nAnswer: 12*g**4 - 52*g**3 - 152*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 0. Suppose 0 = -z - 3*p + 23 - 4, -2*z - 2*p + g = 0. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 38)\/(-6 - (-12 - (-476)\/85))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 7 + -3 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*x - 2. Put -8, -2, x in descending order.\nAnswer: x, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - k - 1 + (2*k - 2*k - 2*k)*(-4 + 1 + 4))*(1 - 1 - 2*k)*(-3*k + 5*k + k).\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -12\/7 (c) -4 (d) 2\/17 (e) -3 (f) -11\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-1)*-2*(-6)\/(-66).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 = -y - 0*p, 2*y + p - 8 = 0. Suppose y*o = o + 184. Let i = o - 26. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1640)\/(-1804)*110\/375.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 3*r + 3*r)*(r + 2 - 2) + 4*r - 4*r - r**4 + (-3*r**4 + r**4 - 2*r**4)*(-4 + 3 + 3).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2412)\/(-27))\/(144\/67932)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009611 rounded to five decimal places?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:09 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424 - 3*l - 424.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162275818 to the nearest integer?\nAnswer: 12739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4657 + -4579. Solve 0 = -13*m - w for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -5, -117, 0, 4, 111.\nAnswer: -117, -29, -5, 0, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-1\/4)))**(1\/62)\/(c**(-1)*c*c)**(-1\/6) assuming c is positive.\nAnswer: c**(121\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*-4)\/(0 - (-20)\/(-55)). Suppose m - z = 125. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-4)\/(-8*1). What is the remainder when 52 is divided by 13 + -1 - x\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3629194 - 1226666393\/338. Let j be 226*(-12)\/676 - -4. Let n = j - g. Are -5 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 26 - -10*(-14269)\/5510\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-11)\/((-11)\/296) + 0 and 24.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380c58 (base 13) in base 15?\nAnswer: -1b8563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37963 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48384*j**3\/5 - 647904*j**2\/5 - 83823*j - 13245.\nAnswer: 3*(16*j + 5)**2*(63*j - 883)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.29 - 0.71. Round z to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32192968?\nAnswer: 2, 17, 236713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*j + 1090 = 0, 3*f = -0*f - 3*j - 663. Let i = f + 619. List the prime factors of i.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 268906307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*m + 37 = 0, 0 = -b - 0*b + m + 34. What is the remainder when (-34)\/(-3060)*60 - 494\/(-6) is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 1744*f - 760384.\nAnswer: -(f - 872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1142, 2236, 3330, 4424?\nAnswer: 5518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 173 + -2?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + s = 3044, -3040 = -3*m + s - 0*s. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*m - 308*m - 5081*m**3 + 1852*m**3 + 149*m.\nAnswer: -3229*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4967, 3 in decreasing order.\nAnswer: 4967, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -113388 rounded to the nearest 1000?\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*x + 155*x - 310*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 + 43 = -2*z. Solve z*y - 9*y + 8 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 23547*y**2 + 6878*y**2 - y - 2 + 3*y.\nAnswer: -16669*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.8543ml in litres?\nAnswer: 0.6298543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -517494 divided by 712\nAnswer: -258747\/356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2191*f + 6971*f - 6877 = 29771 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77323218*y**6 + y**4 - 187591115*y**2.\nAnswer: -9278786160*y**3 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*h*r + 49*h*v**3 - 15*h*v - 12415*r*v**3 + r*v**2 + v**3 - 2 with respect to h.\nAnswer: 116*r + 49*v**3 - 15*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**7\/840 - h**6\/60 - h**5\/40 - h**4\/12 + 2*h**3\/3 - 4. Let u(v) be the third derivative of l(v). Give u(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) + 15\/45. Let m = 5\/11 + -59\/154. Is m smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 8*u**2 + 3*u - 24. Let t be f(8). Suppose -6*j + 2*j + 20 = 0. Suppose 12 = -c - 3*c, j*a + 5*c - 10 = 0. Solve t - 20 = a*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*m + 8 = 1, -2 = -m. Let o = r + -1. Solve -2*s - 8 = -4*q, -5*s + o*q + q = -16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/2, -0.249, -1, 3\/14, -5, -3.2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -522 divided by -348.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -43. Let x be (166\/r*-1)\/(2\/4). Suppose p = 11 + x. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1521 - 1115. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1919224 by -2.\nAnswer: -959612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 4, 22, 0.5, -0.09?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**3 + 132660*o**2 - 3728627 wrt o?\nAnswer: -9*o**2 + 265320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*o - 4624 = -51685 for o.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 32406443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 16*f + 4*f**2 + 1\/3*f**3 - 2. Factor q(j).\nAnswer: (j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1 (c) -363 (d) -8094\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -1, -13 in decreasing order.\nAnswer: 4, 2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1 + -1 + sqrt(180))*1*-5)**2 + -1)*4.\nAnswer: -92004 + 12000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2943 - 14?\nAnswer: -2957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.34 - -0.04. Let v(o) = o**2 - 3*o - 2. Let s be v(4). What is the third smallest value in w, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -155*y + 139*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -420*u**4 - 115*u**3 + 1113*u + 421*u**4 - 23*u**3 + 1606*u wrt u?\nAnswer: 12*u**2 - 828*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 1 = 0, 4*a - 3*h - 6514 + 6443 = 0 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -811*y - 5188. Calculate m(-4).\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from iiiissesesiese.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 - 2*f - 5. Let a = 18 - 21. What is the units digit of g(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 363 = -369. Solve 400*s - a = 403*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-6) + (-4)\/12. Let r be -1*(2 + 0 - s). Suppose 30 = 5*f - r*f. What is the smallest common multiple of 22 and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-30) + 88\/(-12). What is the second smallest value in 3\/7, h, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194\/(-1261) + ((-1000)\/(-78) - (-10)\/(-15))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4508+5809.6203166\nAnswer: 1301.6203166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*y)*(y**2 - 2*y**2 + 2*y**2) - 1 + 16*y**2 - y**2 - y - 5*y**2 + 2*y**3.\nAnswer: 4*y**3 + 10*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**5\/270 + 89*w**4\/108 - 88*w**3\/27 - w**2 + 747. Factor s(d).\nAnswer: -2*(d - 88)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + (-36)\/8)\/((-2)\/88). Suppose -w - 14 = -4*n. Calculate the common denominator of 29\/42 and ((-12)\/18)\/((-44)\/n - 0).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343780, 343603, 343438, 343291, 343168, 343075?\nAnswer: 343018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5*b**(1\/2)\/b assuming b is positive.\nAnswer: b**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 23. Suppose b + s - 34 = 0. Let x = b + -30. Calculate the greatest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -67. Factor -4*c**2 - m*c**2 - 55*c**3 + 50 - 22*c**2 - 5*c**4 + 55*c.\nAnswer: -5*(c - 1)*(c + 1)**2*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k**2 - 23024*k - 26381033. Let l(c) = -430*c**2 - 897945*c - 1028860285. Let a(d) = -235*b(d) + 6*l(d). Factor a(r).\nAnswer: 5*(r + 2297)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6543 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3 (b) 1 (c) -0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o - 19. Give x(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-19)\/(399\/644))\/(6\/(-63)). Find the common denominator of ((-11)\/8)\/1*k\/(-207) and 79\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -40*-3*10\/150. Let u(r) = -r**2 + 9*r - 11. Calculate u(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -0.119085 (c) -0.4 (d) 5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2) - 9\/(-3). Let p be (-2)\/7 + (-492)\/(-7). Suppose 9*x - y*x = p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19679621 divided by -4\nAnswer: -19679621\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + (-16)\/((-192)\/(-468)). Sort t, -1, -4 in decreasing order.\nAnswer: -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/19 + 136\/95. Suppose -k*u**3 + 9\/5*u - 3\/5*u**2 + 3\/5 = 0. Calculate u.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61896617 is divided by 219.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2 - sqrt(187)\/(sqrt(11)*2)) + sqrt(85)\/(sqrt(5) - (sqrt(5) - sqrt(125)*3 - sqrt(5))).\nAnswer: 89*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 - 2*u**2 + 6*u - 4. Suppose 7*m + 9 = 4*m. Let a be l(m). Suppose -a - 10 = -3*v. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 633400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 2:57 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39661, 157249, 353229, 627601, 980365, 1411521?\n\"Answer: 39196*f**2 + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41468072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3651580.69827 - 3651293.7. Let b = -287 + r. Round b to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -1, 21 in increasing order.\nAnswer: -94, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i = 4*f + 13*i + 41, -i = 2*f + 13 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/7 + 7306*g**3\/7 + 6653902*g**2\/7 - 33452410*g\/7 = 0. Calculate g.\nAnswer: -1829, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -1 + -4 + -29 + 24. Let c(i) = -2*i - 10. Calculate c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l. Let c(z) = -107*z + 2. Determine c(p) + 3*d(p).\nAnswer: -158*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*r - 180*r = 7*o - 16, 0 = -3*r + 4*o + 26 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6)*(0 - -6). Let h be n\/(6\/(-20) - 0). Let c = -6 + h. Solve 0 = c*x - 2*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 5:58 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = 0, -2*x + 3*c + 68 = 5*c. Let i = x - 38. Let g be (-8)\/6 - (-9)\/(81\/i). Let m(w) = -9*w - 2. Determine m(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14973339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + f - 5 = -13, 5*f + 22 = -c. Let r be c*(-2)\/12*-8. Suppose -p - 2*u = -13, -r*u - 1 = -2*p - 15. Solve -4*q - p = 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -587300 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 255942*n**5*u**3 - 4*n**5*u - 785*n - 41*u**3 + 35*u wrt n.\nAnswer: 5118840*n**3*u**3 - 80*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.21 (c) -8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -19*i + 16*i - 102 + 121. Give x(14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - 9*f - 3. Let s(t) = t**2 + 2. Let p(q) = 2*q**2 - 14*q + 11. Let r(y) = -p(y) + 8*s(y). Determine -8*c(g) - 5*r(g).\nAnswer: 2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 - (12 - 2)) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.048 and -3873.1.\nAnswer: -3873.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**2 + 4*j**3 - 2*j**3 - 27*j**2 + j**3.\nAnswer: 3*j**3 - 42*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(0 + (-3)\/(-2)). Let f(l) = -222*l - 10332. Let d be f(-47). Calculate the highest common factor of k and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23480183 less than -23480180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 (base 16) in base 5?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857119789.\nAnswer: 7, 47, 5644741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1132.999982832 + -1133. What is w rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.89 + 0.99. Let g = -0.1276 + 10.1276. Let j = g + s. What is the third biggest value in j, -5\/6, 0.3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -1, 3\/229, -4\/5 in ascending order.\nAnswer: -1, -4\/5, -4\/9, 3\/229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4156430 is divided by 2175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-92)\/(-8))*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 1 (c) 4 (d) -0.09 (e) 0.3 (f) -57.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - 0) + (-3 - -2). Let c(s) = 2*s - 8. Let z be c(3). Let p = z + a. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 124 = -3*j. Suppose -j + 1 = 5*r. Let c be (-58)\/r - 4\/(-12). Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*v = 95*v - 1458. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204988429?\nAnswer: 571, 358999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*(f*f*f**12)\/f*f)\/(f*(f*f**(-3\/22))\/f))\/((f**(-18)\/f)\/(f\/f**(-23))) assuming f is positive.\nAnswer: f**(1301\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**2 - 5*y + 5. What is the units digit of c(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 5:06 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -774 - -779.29. Let x = -4.89 + t. What is the smallest value in -2\/13, 2\/19, x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137218498 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1660912?\nAnswer: 2, 11, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -719, -700, -653, -566, -427, -224?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 810, 806, 796, 780, 758, 730, 696?\n\"Answer: -3*d**2 + 5*d + 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 92\/(-12))*-18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/3 + 26572*j**4\/3 - 266041*j**3 - 1675958*j**2\/3 - 851264*j\/3 = 0.\nAnswer: -26602, -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 20784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(0 + 4\/(-12)). Suppose -2 + x = l. Suppose -g - 9 = -8, -5*f = 4*g - 61. Calculate the remainder when l is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1603, 1428, 1267, 1126, 1011, 928?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, -1\/7, -1\/5, 0.201, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463520 divided by -18294?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*s**2*z**3 + 653*s**2 + 2*z**2 wrt z?\nAnswer: 264*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3543635200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5, -83.\nAnswer: -83, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 421513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -58, 1 in increasing order.\nAnswer: -58, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2900*z - 16057*z - 22*z**2 - 4*z**2 + 18957*z.\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -14. Let t(s) = -s**2 - 14*s - 11. Let f be t(-13). Let b = 5 + -2. Solve 2 = -b*m - 2*c, -4 = -f*m - v*c - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3355629.\nAnswer: 3, 149, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x**2 + 2*x + 1. Let w(q) = -q**2. Let p(u) = c(u) + 2*w(u). Determine p(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11677\/5 + -2332. Suppose -n*l**2 - 3\/5*l + 0 - 29\/5*l**3 - 3*l**4 = 0. What is l?\nAnswer: -1, -3\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3434 = 12255*b - 12251*b + 990. Calculate the remainder when b is divided by 293.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272462746.034 - -0.5\nAnswer: 272462746.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + t = 848, 9*z - 4*z - 1059 = -t. Suppose p = 4*b + 54, -4*p - 3*b + 5 = -z. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/5))\/b*b*(b*b**(4\/3)*b)\/b*(b*(b*b**(-1)\/b)\/b)**(-9))**45 assuming b is positive.\nAnswer: b**537","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01 or -4\/289?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.7. Let c = 273 - 276. What is the second biggest value in c, l, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -347 + 93. Let s = 216 + x. Let b be 10\/(-15)*(-3)\/6. Is s < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 > 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/6*6\/40.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 + 667*a**2 - 12*a**3 - 5*a - 2*a**4 - 1367*a**2 + 685*a**2 - a = 0 for a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 7 + 42 = 0. Suppose 0*b + v*w - 17 = b, -3*w + 55 = 5*b. What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5250 + -5382. Is g <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**4\/24 - 41*x**2. Let g(s) = -70*s. Give g(r(b)).\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21919 and 6854.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 56940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 87515.9 micrometers?\nAnswer: 0.0875159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**3)**(-23)\/((y\/(y*(y**(-34)*y)\/y))\/y**(15\/2)))**(2\/131) assuming y is positive.\nAnswer: y**(-237\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x**3 + x - 4. Let w be h(4). Suppose -17*k + 20*k = w. What is the highest common factor of 24 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -47. Suppose 5*f - 5*b = -25, -2*f - 5*b - 3 = -0*b. Let q = f + 8. What is the greatest common factor of q and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5 + 5 - 2*q + 4 - 3*q**2 in the form o*q + k*q**2 + s and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = 6. Let w = r - -11. Solve 5*a = 5, 1 = w*o + 4*a - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 25 = -3*z, 0 = 4*z - 8*z - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353654631.\nAnswer: 3, 11, 101, 113, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330656 (base 7) in base 16?\nAnswer: 2adf8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a*a**(5\/12))\/a)\/a)*a)**(-50)*(a\/(a\/(a**(2\/51)\/a))*a*a)**(-1) assuming a is positive.\nAnswer: a**(-4427\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 51) + (-5 - -23 - 0) + -24.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 4483 = 4511. Let h(j) = 7*j**2 - 5*j + 3. What is h(s)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/9085 and -1\/6670?\nAnswer: 526930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 932975275?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/5)\/(2\/10). Let w = -1 - -5. Let r = -10.26 - -10.76. Put w, h, r in decreasing order.\nAnswer: w, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2 + 120\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246239.\nAnswer: 7, 29, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -73063 (base 9) to base 3\nAnswer: -2110002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -166, -379, -668, -1027?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 186*b**2 + 786*b - 970.\nAnswer: -2*(b - 97)*(b - 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, 3, 335, 5 in descending order.\nAnswer: 335, 5, 3, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3503, 7111, 10705, 14279, 17827?\nAnswer: 21343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 1014.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6333, -6345, -6361, -6381, -6405?\nAnswer: -6433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**(-8\/3)\/(s\/(s*s\/(s**(2\/5)\/s)))**(-2\/49) assuming s is positive.\nAnswer: s**(442\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*u**2 - 92*u - 24 = 0. Calculate u.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 1146327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 923186 and 6462302.\nAnswer: 6462302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -201 divided by 201\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 62*v + 0*v**3 - 60 + 0*v**4 + 21\/2*v**2 - 2\/5*v**5. What is the derivative of m(q) wrt q?\nAnswer: -8*q**3 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 6 = 2*s - 0*a, 0 = a - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012033 + 277761 = -8344*b for b.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 2*x + 2*x)*(x**2 + 4 - 4)*(-7365 + 247 - 343 - 2937) to the form l + m*x + s*x**2 + c*x**3 and give c.\nAnswer: -10398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 14*l - 48. Let b be w(4). What is the remainder when (-15)\/(-3) + -3 - -204 is divided by 2*26\/b*984\/123?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 22, 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrbnbxbbxxr. What is prob of sequence xxb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y*(y*y**(-9\/4)\/y)\/y*y*y*(y\/(y*y*y\/(y*y**(-9\/8))))\/y*y)\/(y**(6\/5)*y)**34 assuming y is positive.\nAnswer: y**(-2967\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = 0, -x = s + s - 447. List the prime factors of s.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406059189.\nAnswer: 10399, 135211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112310 (base 7) to base 6.\nAnswer: -232452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1698 - 1702. Which is bigger: -77 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5786, -5286, -4430, -3218, -1650?\n\"Answer: 178*y**2 - 34*y - 5930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -9*g**4\/8 - 11463*g**3\/4 + 38267*g**2\/8 + 20395*g\/2 + 7647\/2 = 0.\nAnswer: -2549, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*i**2 - 2\/9*i**3 - 2\/9*i + 0.\nAnswer: -2*i*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -318?\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 2*g - 2*g)*(-3 + 0 + 1)*(g - g - 2*g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-2*v**2 - 2*v**2 + 5*v**2 - 5*v**2 + 4*v**2 + 0*v**2 - 2*v**2 - v**2 + v**2 + (-2*v + v + 3*v)*(v + 0*v - 3*v))*(-3*v - 2*v + 2*v).\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18358145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/13 (b) 79 (c) 4 (d) -370\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 933599269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2251665 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:04 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.043324332 and 592.\nAnswer: 592.043324332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 15\/8 (b) -0.2 (c) 2\/9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 998, 2087, 3612, 5573, 7970, 10803?\nAnswer: 14072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -201*h + 8018. Determine c(40).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -207.5 * -0.019\nAnswer: 3.9425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -4 (c) 3\/4 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 - 4*c + 5. Let s be o(6). Solve -3*v + 4*r = -0*v - 32, -5*r = 2*v + s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-39) - 21\/(-936)*(-4 - 40).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364966387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3510 - -4979. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/8990)\/((-2)\/(-10)) + 0?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3. Let n be (3 + 0 + 1)\/1. Let a be (n\/(-14))\/(30\/14). Which is smaller: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 4 - 72 - -68\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4888388904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 4*x**2 - 2*x + 2. Suppose -r = -4 + 14. Let k be (-3)\/(-9) + r\/(-6). Give o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -281? (a) 0.2 (b) -38825 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*y + 48200 + 71511. What are the prime factors of y?\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 0, -4, -227.32709, 2 in decreasing order.\nAnswer: 5\/2, 2, 0, -4, -227.32709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -23, 8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125880229.\nAnswer: 125880229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.2, -3, 7, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n - 4*n - 5*n + (-18 + 10 - 10)*(-1 + 2*n + 1))*(2 - 4 + 0 - 2 - 1 + 5 + (-1 - 2 + 1)*(3 + 1 - 3)) in the form q*n + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {z: 4, t: 7, n: 1, v: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + i**2 + i - 1. Let o be 3\/(9\/12) + 0. Let j(f) = 5*f**3 + 12*f**2 - 7. Let s(d) = o*p(d) + j(d). Is s(-15) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4, -0.09, 1\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.003 - 60.003. Let v = 59.999914 + z. Round v to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 + 107. Let x = z + 67. Suppose 4*d - 4 = 4*i, x*i - 4*i + 7 = 3*d. Sort -5, -2, 5, i in descending order.\nAnswer: 5, i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 47*b - 20*b - 20*b + 36 - 5*b. Let t(n) = -n - 18. Give -6*q(o) - 11*t(o).\nAnswer: -o - 18","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 36. Let b(y) = 14*y + 85. Let s(n) = 60*n + 352. Let m(k) = -17*b(k) + 4*s(k). What is m(w(l))?\nAnswer: 2*l + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164\/6 - 10\/(-15) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.3 - 12.300117. Round x to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtyw when four letters picked without replacement from {p: 1, t: 2, b: 1, w: 2, y: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/5)*g\/(g\/(g**(-3)\/g*g*g*g)))\/(g**(-1)\/g*g)**(-11\/5))\/((g**(2\/5))**(-2)\/(g*g\/(g**(-3)\/g)*g**(2\/15))) assuming g is positive.\nAnswer: g**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15\/9 - (-841)\/(-87)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-20 - (-25 - -12)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*v + 27 = -b, -5*b + 3*v + 72 = 0. Suppose 0 = t - 5*f + b, -2*t + 4*f = -0*f + 12. Factor 0*x + t*x**2 - 1\/2*x**3 + 0.\nAnswer: -x**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*y = 475 - 99 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + r + 0 + 2 = 0, 2*v + 5*r = -19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456266 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**3)**(-13)\/(y*y\/(y\/(y*y**(-3\/10)\/y))*y*y\/(y\/(y\/(y*y\/(y\/y**(-2\/11))))*y)) assuming y is positive.\nAnswer: y**(-5817\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*v**3 - 26861956*v**2 + 2441999*v - 55500 = 0. What is v?\nAnswer: -55500, 1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 - (-5 + 7 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + -2)\/(-5 - -3). Suppose -2*n = -k - 0*n + 13, -5*n - 10 = q*k. Solve k = -4*m + m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*((-128)\/2)\/(-32)*696\/(-32).\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round 2684935000 to the nearest 1000000.\nAnswer: 2685000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2368576 is divided by 1501.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 - y**3 - 2*y**3 + (-2*y + 2*y - y**2)*(4 - 2*y - 4) in the form t*y + j + h*y**2 + x*y**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 10 (b) 1\/10 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**3\/15 - 47*m**2 - 517. Find v, given that u(v) = 0.\nAnswer: 0, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 102*w - 36. Let s be v(6). Suppose 17*m - s = 15*m. Suppose -6*i + m = -132. Calculate the remainder when i is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -225*c - 10571. Let z be q(-47). Solve -2*r - 12 + 30 = 6*d, z*d = -2*r + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54 + 0.14. Sort -1\/3, -0.05, s in descending order.\nAnswer: -0.05, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6753*d**3*p**3 - 30*d*p + 14*p**3 + 404*p - 9 wrt d?\nAnswer: 20259*d**2*p**3 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94918 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose 15 = -b*v + 2*v. Let p = v + 16. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 37*r**6\/15 - 123*r**2\/2 + 376*r. Differentiate u(p) with respect to p.\nAnswer: 296*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 17, 1\/5, -0.1, 12, -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyuqwupyauuqpuuwpq. Give prob of picking 2 w and 2 p.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 39*g**2 - 109*g. Let w(n) = -12*n - 1. Determine i(w(o)).\nAnswer: 5616*o**2 + 2244*o + 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3.16, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 267 = t + 269, 2*r - 22 = 4*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 6. Suppose 6 = 4*w - 14. Let d be l(w). Sort 5, d, -5.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -9\/2294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 3*s**4 - 4*s**4 + (7*s**2 + 3*s**2 - 7*s**2)*(-6*s**2 - 55*s + 55*s).\nAnswer: -22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1594 - 1384. Calculate the greatest common divisor of 90 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -0.58, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 1 - 1)*(-1087*x + 158*x + 508*x - 1 + 2*x**2).\nAnswer: -4*x**3 + 842*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2859 + 2859 - t - 2*t**2 + 35*t**3 in the form s*t**3 + b*t**2 + i*t + j and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3835 times -0.8?\nAnswer: -3068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b - 6. Let c(m) = 3*m + 4. Let y(u) = -6*c(u) - 4*z(u). Let f(s) = 4*s - 2*s + 5*s. Calculate y(f(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*r + 3*w - 32, -12 = -3*w. Let q(j) = 3*j + 1. Suppose 36 = -s - s. Let c(v) = -13*v - 5. What is r*c(m) + s*q(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdghmnn. Give prob of picking 1 d and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 40*k + 16. Let s(d) = 8*d + 3. Let z(g) = 11*s(g) - 2*t(g). Let p be z(-2). Let f = -7 - p. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 25) + 8 + (-3 + 4 - 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/6 + 5*1. Let n = q - 4. Suppose n = i + i - 24. What is the remainder when 35 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -5, 3, -4, 2 in descending order.\nAnswer: 3, 2, -4, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 5. Suppose 0 = 5*s - 12 - 13, s = -3*o - 1. Let g be x(o). Let m be (-3)\/1 - (4 + g). Let u(k) = -4*k + 1. Give u(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 25*b + 61. Determine j(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(432) + (sqrt(432) + -1)*3 + -2)*-3)**2.\nAnswer: -374598 + 25920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Suppose 6 = 2*o + 5*a, -2*o + a + 15 = 3*o. Suppose 3*d = -4*u + 44, 8*d - o*d + 3*u = 77. Solve v*f + d = 7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -19. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131124 is divided by 355023.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -5, 0.2, 3, -0.6331 in descending order.\nAnswer: 3, 2\/3, 0.2, -0.6331, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/48 - (2 + (-106)\/(-6)). Let w be 6\/20 - (-8)\/k. Which is the nearest to -1? (a) w (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 21139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**2 + z**2 + 0*z**4 - 2*z**4 - 9*z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcssmsmgtmstts. What is prob of picking 2 s and 2 t?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -94*x + 3238. Determine k(44).\nAnswer: -898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321 is divided by 331.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -492\/65 (b) -19 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 4.019?\nAnswer: 4.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 0*f. Let d(h) be the first derivative of 2 + 1\/2*h**2 + 0*h. Let g(x) = -2*x - 1. Determine f*d(u) + g(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1349204470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -44*o + 51*o. Solve 5*n = o*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**4 - u**3 + u + 1. Suppose -5*h - 21 = -16. Let o(k) = 4*k**5 + 10*k**4 + 2*k**3 + 2*k + 2. Let c(y) = h*o(y) + 2*a(y). What is i in c(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(75) + 1) + sqrt(75) + (sqrt(75) + 1*sqrt(75))**2*6 - (0 + (sqrt(75) + 4)**2)*3.\nAnswer: -85*sqrt(3) + 1533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/9 + 16*u**3\/9 + 28*u**2\/9 - 32*u\/3 + 6 = 0. Calculate u.\nAnswer: -3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*k - 3*r - 0*r, 3*k = 4*r - 3. Suppose 6 = 4*o - 2*j, 3*j + 9 = k*o + o. Let a(u) = u**2 - u - 1. Let i be a(3). Sort -1, o, i.\nAnswer: -1, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 708.9 + -709. Which is smaller: 0.464 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, o: 2, u: 3}. Give prob of picking 2 u and 1 w.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7268 + 7268 + 25*z.\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 2*b**2 + 3*b + 4. Suppose 5*u + 3*c = 0, -21 = -u + 4*c + 2. List the prime factors of k(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**4\/2 + 14*s**3\/3 + 34*s**2 - 80*s - 3494. Factor t(g).\nAnswer: -2*(g - 10)*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/2 (b) 1\/6 (c) -1.014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03004621483 to six decimal places.\nAnswer: 0.030046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -19 - (-3 - -2 - 3). Let p be 6\/30 + (-57)\/l. Suppose 0 = y - p, 5*y = 7*r - 3*r + 20. Solve -2*d + 3*d + 2 = r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79b2 (base 13) to base 2.\nAnswer: -100001010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64400 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -537394, -537396, -537400, -537406, -537414, -537424, -537436?\n\"Answer: -o**2 + o - 537394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3414994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 28*x**2 + 6*x - 8. Let j be r(-20). Suppose j = 8*u + 808. List the prime factors of u.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -13, 1106?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15247 - -19292821.\nAnswer: 19277574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.3731853 from -236943.\nAnswer: -236947.3731853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108\/63 - 2\/(-7). Suppose 2*m + 4*b - 317 = 183, 3*b - 496 = -y*m. Is 28 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6507629*b - 17511255.\nAnswer: -6507629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -11) + 5 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4\/5, -0.9, 2\/5, -0.5, -607?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 252610 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*y - 5832 = 0, -4*d = -4*y - 562 - 5286. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 - 18*x**2 - 571*x - 163. Determine o(-11).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Evaluate (4\/(-9))\/(4\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*u - 8 + 78 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073645 to 6 dps.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14872?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 874*n**3 + 588*n**3 - 1461*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 38*d + 8. Let s(g) = -40*g - 7. What is -7*s(w) - 6*z(w)?\nAnswer: 52*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**5\/20 + o**4\/12 + o**3\/6 - 241*o**2\/2 + 3*o. Let c be r(0). Let j = -114 - c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2\/5 + 1908384*u\/5 + 3816756\/5 = 0.\nAnswer: -636126, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 185596 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157279*s**6 - s**5 - s**2 + 5847*s - 4 wrt s?\nAnswer: -18873480*s**3 - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5023280 is divided by 2429.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1768 = -6*g + 1634. What is the highest common divisor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1218.75 + 1634. Let m = g + -529. Let r = m - -109. What is r rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 42. Suppose -10 = n - 61. Calculate the highest common divisor of n and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -576605 or -576606?\nAnswer: -576605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l - 3. Is x(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256\/40 - (-49)\/(-35)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.4, 1\/3, 35 in descending order.\nAnswer: 35, 1\/2, 0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5040887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0509? (a) 2\/9 (b) 0.02 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -1, 65 in descending order.\nAnswer: 65, 4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 18. Is b <= -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 45*d + 181. Let u be t(4). What is the highest common divisor of 2516 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**10*i*i**(-2\/21)*i**(1\/6)*((i*i**6)\/i*i*i**(2\/7))\/(i**2\/(i\/i**(-3))) assuming i is positive.\nAnswer: i**(285\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*t = -17, 2*t = -5*b - 7 + 29. Let h be (-19)\/b + 7\/(-28). Put -3, h, -1 in descending order.\nAnswer: -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 646, 1396, 2256, 3238, 4354?\n\"Answer: 2*f**3 + 43*f**2 + 607*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -5 (c) -1 (d) -38424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 11*t - 88. Let a be y(-23). Suppose 194*w - 9828000 = a*w. What is w rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 442 or 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*p**5 - 47*p + 1 wrt p.\nAnswer: -1220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 897236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -4.3. Let s = w + -2.10011. What is s rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6440 and 6440?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -62223*k - 7. Let l be r(-9). Round l to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 63.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*o**3*z + k*o**3 + 2*k*o**2*y + 3*k*o**2 - 2*k*o*y**2 - k*o*y*z - 2*k*y**2 + 2*k*z - 564*o**3*y**2*z wrt o?\nAnswer: 6*k*z + 6*k - 3384*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(sqrt(19) - (sqrt(475) + -4 + sqrt(19))**2).\nAnswer: -49*sqrt(19) + 696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 9. Let l be a(6). Suppose -58 + 62 = -4*q. Let h = q + l. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2. Let g(b) be the third derivative of 7*b**4\/3 - b**3\/3 - 1280*b**2. Give t(g(s)).\nAnswer: 3136*s**2 - 224*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 - 2 + 0 - 15*i**2 + 4 - i**4 + 2*i + 14*i**2 to n*i**4 + q + k*i**2 + w*i + c*i**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -23904.069 to the nearest 10.\nAnswer: -23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 2, 1\/4, 4, 1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12190840 by -20.\nAnswer: -609542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Suppose 1996 = v + s*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 283 + -181. Suppose 22 - c = -4*m. What is the highest common divisor of 80 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -16. Let t = y - -12. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1499.\nAnswer: -749.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 6*u**3 - 11*u - 5 + 10*u**3 - 4*u**2 - 2*u**3. Let j be p(6). Sort -7, j, -2 in descending order.\nAnswer: j, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6426*t = -2*q + 6423*t + 19, 2*t + 149 = 31*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.041 + -6.241. What is f rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.08 in -3, -0.4, 330?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -16\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-440)\/(-24) + (-2)\/6. What is the common denominator of -151\/18 and 152\/v - 2\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1908*a + 1551*a - 3220*a.\nAnswer: 239*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + 0 + (sqrt(3) - sqrt(24)\/(-3*sqrt(8))) + (sqrt(3) - sqrt(21)\/sqrt(567)) + 0.\nAnswer: -3 + 20*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 105?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006134134454 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 9*n**7\/70 + 5*n**3 + 42*n**2 + 7*n + 2. Let a(m) be the first derivative of c(m). Find the first derivative of a(u) wrt u.\nAnswer: 108*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -152, -255, -316, -335, -312?\n\"Answer: 21*h**2 - 166*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -6, 4, -5 in descending order.\nAnswer: 4, 3, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3101716.\nAnswer: 2, 107, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2880 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 10 + z**4 - 20*z**2 - 15 + 11*z**2 - 9 - z**3 + 11*z**2 to y + x*z**4 + q*z**2 + k*z + s*z**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 13. Let x(p) = -p + 7. Let n be x(7). Is g(n) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0286675954 rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50761182 is divided by 391.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14313662 and 4796?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 175626307343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knknknknknnkkknknn. Give prob of picking 2 n and 1 k.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*g - 5 - 12, -2*v - 10 = 0. Suppose 3*t = -0*t + g. Let d(u) = -u + u + 6*u + 7 - 6*u**2 - t*u + u**3. What is d(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 + t - 1. Suppose 3*r + 5*h + 8 = -15, -3*h - 12 = 0. Let n be a(r). Suppose -3*f + n*c + 398 = -3*c, 0 = f + c - 138. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -551\/8 + 69. Let m = -0.5 - -0.4. Let t = -5.0204 - -0.0204. What is the nearest to m in t, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -3220 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2008417 or -2008421?\nAnswer: -2008417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 155. Let r be u(0). Let i be r\/(-1302) + (-2)\/(-7). What is the smallest value in 0.1, -12, i?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -156.271098128013 and -1.\nAnswer: -157.271098128013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.04 + -0.56. Let z = p + 6. What is the third smallest value in 2, z, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000099013 to 7 decimal places.\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from {i: 10, u: 2, t: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5209474.\nAnswer: 2, 2604737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 394 and 30141?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -58, -64, -72, -82?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:17 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 135. Suppose 11 = t + p, 5*t - 11 = -2*p + h. Suppose i = -j + 22, i + 31 - 7 = j. What is the remainder when j is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 111? (a) 2\/7 (b) 2\/5 (c) -0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2270 - 606*k**2 - 532 + 147 + 230*k**2 + 2385 + k wrt k.\nAnswer: -752*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16052*i**3*p**3 + 186*i**3*p**2 + 12*i**3*p - i*p**2 - 2*i*p + p**6 wrt p?\nAnswer: 96312*i**3 + 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12 - f**2 + 14 - 6*f - 7. What is b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.42 + 1.92. Let r(z) = z + 12. Let l be r(-9). What is the biggest value in 0, -4, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.369999 + -0.37. What is p rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/1260 + h**6\/720 + h**5\/180 + 23*h**2. What is g in l(g) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 82*w**2 - 22*w - 9699. Let h(x) = -15*x**2 + 4*x + 1940. Give 2*f(b) + 11*h(b).\nAnswer: -b**2 + 1942","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*f = 139*f + 71526390 - 549617200. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -224 + 414. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255829 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/(-4))\/((-1)\/(-4)). Let y = -6 - q. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 328*o + 650*o - 4.\nAnswer: 978*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15420073 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -3*h**2 + 37. Determine s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8110577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 9*k - 176. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2361, -4744, -7141, -9558, -12001?\n\"Answer: -f**3 - f**2 - 2373*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 2408957.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (-3 + -3)) + 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4699 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*y - 4, -2*v + 5*v + y = -9. Which is the closest to 0? (a) -5 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 2*f. Let a(d) = -d**2 - 15*d - 52. Let k be a(-6). Suppose -2*r = -b, -5*b = -r - k*r. Is f less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 2, 18.\nAnswer: -4, 2, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850692 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 - 137. Sort z, 2\/11, -0.3, -2\/51.\nAnswer: z, -0.3, -2\/51, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -21*z + 26*z. Let a(o) = 13*o**z - 8*o - 2 + o**3 + 7*o**2 - 27*o**2. Give a(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*u + 519*u**4 + 13*u + 15*u - 206*u**4 - 22*u wrt u.\nAnswer: 3756*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7168*o**5*x - 60*o**2*x**3 - 525955*o*x**3 - 10*o wrt o?\nAnswer: 143360*o**3*x - 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16875 - -16875.4. What is the third smallest value in -638, 1\/8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -148, -176, -260, -430, -716, -1148, -1756, -2570?\n\"Answer: -5*f**3 + 2*f**2 + f - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 326.027mg?\nAnswer: 0.000000326027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3 + 5. Let f = 2 - k. Let i = f - 7. What is the closest to 1 in 1\/4, i, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15))\/(4\/(-30))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1447 + -4d?\nAnswer: 13fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6868455*i**3*s**2 + 9*i**3 - 254185*s wrt s.\nAnswer: -13736910*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3840\/35)\/8*1036\/296?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 + -15 - -9)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22528, 22496, 22464?\n\"Answer: -32*z + 22560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 - 2 - 9*c**2 - 1 + 13*c**2)*(-3*c + 4*c + c).\nAnswer: -2*c**5 + 8*c**3 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 - -2 - (2 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/454712 and -47\/113678.\nAnswer: 454712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15371 + 19059. What are the prime factors of q?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) - (3*sqrt(539))**2*2.\nAnswer: -9702 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379172 = 59*f - 92781 - 1676237. Is f a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/4 + 4)\/(5\/10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 19*g**2 - 39*g - 55. Let j be o(17). Let m be 17\/4 - (-175)\/j. Solve -2*l + 0*l = -m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -65*s**2 + 0*s**3 + 1\/30*s**6 + 3\/4*s**4 - 2*s + 0*s**5 + 91. Find the first derivative of y(g) wrt g.\nAnswer: 4*g**3 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46\/5 of a kilometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -136201, 0, -5 in descending order.\nAnswer: 0, -5, -136201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2438970, -2438927, -2438884, -2438841?\nAnswer: -2438798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138849712 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -338, -39 in descending order.\nAnswer: 3, -39, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -772350 - 1330.07\nAnswer: -773680.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3*t*x + 13*l**3*t + 972*l**3*x + 12*l**3 + 5*l**2*t*x - l**2*t + 4126*l**2*x - 3*l wrt l.\nAnswer: -6*t*x + 78*t + 5832*x + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 3*n**2 + n + 10. Let i be l(-10). Suppose 3*s = -3*m - 285 + 1071, 5*s - i = -3*m. What are the prime factors of s?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 26. Let s be -1 + 14*c + 4. Suppose -s = -4*w + 31. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, -0.0378, -0.01, -0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*u - 43 = 0, -2*r - 4397 = 3*u - 4359 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3\/7 (c) 2\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1735 = -6*q + v, -2*q - 12*v + 17*v + 583 = 0. Calculate the remainder when q is divided by 182.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20181*h**2 + 11420*h**2 + 11989*h**2 in the form k*h + u*h**2 + s and give u.\nAnswer: 3228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**5\/40 - g**3\/2 - 2*g. Let y(r) be the second derivative of p(r). Let o(l) = 3*l**2. Give o(y(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*q - 2*q. Suppose 84*t - 88*t + 7*t**2 + 2*t**5 + t**2 - 2*t**4 - 6*t**3 + q*t**2 = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {d: 11, x: 5}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (630 - 634)\/((32\/(-20))\/(-4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3582 + -83?\nAnswer: 3488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10008144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2\/7 - 60422*a\/7 - 181284\/7 = 0.\nAnswer: -3, 30214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 + 3 = 0. Suppose 5*m + 0*m - 2*f + 24 = 0, 4*f - v = m. Which is the biggest value? (a) 5 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u - 153*u + 56509 - 44977 = 108*u for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 n when four letters picked without replacement from qyqyynq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 48 + (-5 - 6 - -6) + 11 - -5?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 2 - (-86 - 2). Suppose 3*h + 30 = 2*l, -h + 1 = -2*l + 15. Let j be 40 - ((3 - 1) + (h - -10)). Calculate the greatest common factor of c and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1641181 and 1333?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 22*t**2 - 16*t**4 - 3 - 21*t**2 + t**3 + 2*t**4 + 2*t to c*t + d*t**2 + k + a*t**3 + v*t**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 8*z + 12. Let k be d(-9). Suppose -4*g + 232 = m, -k*g + 4*m - m + 159 = 0. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 0*k - 2*k)*(-6*k - 26*k - 29*k)*(-1 + k + 1).\nAnswer: -122*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*(-24)\/15. Let b = w - -17\/40. Suppose 15*h = 17*h - 2. Is b at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1617 and 45969.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0, -55, 1\/8, 1, 84?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 2, w: 2, p: 3, l: 4}. What is prob of sequence zjl?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 1. Let f(c) = -c - 8. Let g be f(-13). Suppose -4 = 2*k - 0*k - 3*y, g*k = 2*y - 21. Give l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 4:14 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24120138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 13 - 2*x**4 - 2*x**3 + 9 - x**2 in the form m*x**2 + t*x**4 + d*x + f*x**3 + b and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*g + 84, 140 = -0*l + 5*l + 5*g. Let h = -25 + l. Let q(s) = -2*s**2 + 4*s + 1. Give q(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4556 and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 + -102. What is the remainder when 70 is divided by -4 - d\/((-12)\/(-38))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214 by 10.\nAnswer: -107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -36*(-7 - -5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 1 - 162\/(-3). Suppose 2*a - q = -4*v, -17 - 45 = -4*v + 3*a. Let l = v + -10. Let m(h) = h**2 - 5*h - 2. Determine m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 0) + 38 + -35 - 25?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1478 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/2)\/7)\/(6\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1521)\/(-195))\/(179\/(-60) - -3).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/158969043 or 1?\nAnswer: 22\/158969043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k*k**(2\/9))\/k))\/(k*k**(1\/2)*k)*(k\/(k\/k**(-2\/3)))**(-34)*(((k*k**(9\/5)\/k)\/k)\/k*k*k**(2\/13))**(-13\/2) assuming k is positive.\nAnswer: k**(1237\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 54100*q - 162264.\nAnswer: -4*(q + 3)*(q + 13522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 347389\/87 + -3993. What is the closest to a in 6\/5, -1, 5\/4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 15*i**2 + 15*i - 69. Calculate m(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3147488 by -786872.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -5, -2, -362?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 112 = 18. Let r be -23 + k + -1 + 2\/2. List the prime factors of (-10)\/(-3*r\/117).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-4 + 2 + -4.\nAnswer: -4*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46924834.\nAnswer: 2, 11, 2132947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let n(o) = -2 + 0*o - 21 + o - 11. Let c(z) = -6*m(z) - n(z). List the prime factors of c(-14).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 0*o**2 + 0*o**2 - 2*o**3 + 53 - 82980*o.\nAnswer: -2*o**3 - 82980*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 962060 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: c1b330 (base 14) to base 15\nAnswer: 88cb98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p\/p**4)\/p)**(-16)\/(p*p**(-2\/13)*p**(3\/2)))**12 assuming p is positive.\nAnswer: p**(4626\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3329553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -6*n**4\/5 - 2496*n**3\/5 - 286794*n**2\/5 - 5473104*n\/5 + 1152480 = 0.\nAnswer: -196, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2) + 6 - -16. Solve 4*g - 1 = -m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -206, -412, -616, -818?\n\"Answer: q**2 - 209*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -192.6941*9\nAnswer: -1734.2469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 349583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.12, 6063, 0.5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**3 + 5*j - 5*j + j + j.\nAnswer: -11*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-112*w + 11*w**3 + 112*w)*(21 - 10 + 2 + 23) to g + j*w**2 + t*w + l*w**3 and give l.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k**2 + 10*k - 3. Let x be w(-5). Put 1, -2, -13, x in descending order.\nAnswer: 1, -2, x, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*d)*(-11*d**3 + 5*d**3 + 8*d**3)*(114*d + 113*d - 230*d).\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -1264, -2841, -5048, -7885, -11352?\nAnswer: -15449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(36)\/(3*sqrt(6)))\/(sqrt(12)\/sqrt(294)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22861.10911 - 22861. Let s = c + -0.108. Round s to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32149, 251, 5 in ascending order.\nAnswer: -32149, 5, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-1)\/(-4)*-9. Let u = 7.5 - -0.5. Let l = -8.5 + u. Which is the smallest value? (a) z (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000126215086 to seven dps.\nAnswer: -0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/4*2725\/218.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3566.569l to millilitres.\nAnswer: 3566569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4*(-4)\/(-2)*14378\/2365181.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686, 2228, 6412, 14558, 27986?\nAnswer: 48016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31283*u**4 - 16281*u - 2 wrt u.\nAnswer: -375396*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-6)\/27)\/(14\/21)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/6*276\/(-805) + -4?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -111?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -22, 53, 200, 443?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/7 - 1084*a**3\/7 - 17926*a**2\/7 + 39096*a\/7 - 20088\/7 = 0.\nAnswer: -18, 1, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 28. Let i be a(-8). Let b be -5 - (-395)\/20 - 1\/i. Suppose r - 92 = -b. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4204 - 20949\/5. Let x = -42478 + 42493. Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91358, -182709, -274056, -365399, -456738, -548073?\nAnswer: -639404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*p**2 - 11*p**2 - 13*p**2 + 67*p**2.\nAnswer: 103*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.99 + 8. Let g be 0\/((1 + 2)\/(-3)). Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f - 143 = 481 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:26 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*v - 146*v + 31*v + 37*v + 748 + 41*v as r + o*v and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/17891676 and -73\/60.\nAnswer: 89458380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10169 - 10168.9. What is the third smallest value in -120.9, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(sqrt(7) - sqrt(7)*1) + sqrt(7) + (sqrt(343) - sqrt(7))*-1))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 3*x + 5*x. Solve x = -2*b + a - 3, -2*b - 3*a = 3*b + 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-124)\/((-8 - -11)\/(3\/(-2)))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 855 and 3?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1378? (a) 0.3 (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/21 and (-5*(-456)\/2000)\/(36\/70)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1026572*a*p**3 + 6982069*a*p**2 wrt p?\nAnswer: -6159432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804*y - 306009 = -229629 for y.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14305764.\nAnswer: 2, 3, 11, 108377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -1113001404?\nAnswer: -1113001421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2269085, 2269076, 2269059, 2269034, 2269001, 2268960?\n\"Answer: -4*t**2 + 3*t + 2269086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.04777.\nAnswer: 0.04777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79379.88 centuries to decades.\nAnswer: 793798.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhe when three letters picked without replacement from {y: 2, u: 1, c: 1, e: 6, h: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 4, -6, -68, -47 in decreasing order.\nAnswer: 4, 0, -4, -6, -47, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyxyexxxxea. What is prob of sequence xa?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 28 and -1890540122828?\nAnswer: 1890540122856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 120, 266, 420, 576, 728, 870?\n\"Answer: -a**3 + 10*a**2 + 123*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 172249, 173251, 175977, 181291, 190057, 203139?\n\"Answer: 144*w**3 - 2*w**2 + 172107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 6*h - 4*p, 3*p + 2 = 2*h. Let u = -1 + 4. Which is the smallest value? (a) 0 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -87547 take away -5?\nAnswer: -87542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.3?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -85?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 18569*d + 18572*d + 65.\nAnswer: 3*d + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*z + 15, 4*b + 2*z + 20 = b. Find the common denominator of ((-42)\/9)\/(b\/(-27)) and -89\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12323*n - 17653 wrt n?\nAnswer: 12323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 99050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -17 (c) 0 (d) -1\/7 (e) 14\/9 (f) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - 108. Let a = -188 - q. Let b be (-9)\/(-5)*a\/(-18). Solve 5*o = 5*n + 5, 3*o + 4*n + 5 = b*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, b: 3, v: 2, q: 2, k: 2}. Give prob of sequence vb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (435\/1450)\/(22\/28 + 4\/(-14)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84266 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = -4*w - 14, -w = 5*r - 2. Which is the nearest to r? (a) 0 (b) -1.6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -215 in -87, 0.5, -2\/3, 1\/63?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (2 + -3*sqrt(891) - sqrt(891)))*5)**2 - (sqrt(88) - (2*1*sqrt(88) - sqrt(88)))\/(-2*sqrt(648)).\nAnswer: 1800*sqrt(11) + 356425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 585 - 582. Let j = -13.3 + 13.2. Which is the third smallest value? (a) j (b) 7\/10 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3*(-20)\/(-450)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**3 - 13*s**2 - 13*s. Let t(z) = -z**3 - 3*z**2 - 3*z. Suppose -2*d = -8 - 2. Let b be d\/(-1)*(-52)\/(-10). Determine b*t(y) + 6*a(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5047 divided by 49.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350639253 divided by -6?\nAnswer: 1350639253\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218727.837us to days.\nAnswer: 0.0000025315721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 12 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2959632, -5919288, -8878944, -11838600, -14798256?\n\"Answer: -2959656*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 154.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39366, 39365, 39364, 39363, 39362, 39361?\n\"Answer: -t + 39367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3256 is divided by 658.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6\/3373 - 3397\/13492. What is the nearest to 2 in a, 1.7, -2\/19?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 12. Suppose r*s = 5 + 5. Solve s*k + 3*i = -3*k - 3, -4*k - 4 = 2*i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1, -6, 1\/123, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 5*o**2 + 4*o**2)*(-11*o**3 - 16*o**3 - 23*o**3 - 44*o**3).\nAnswer: -564*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -537*a - 1\/2*a**2 - 288369\/2 = 0. What is a?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**4\/24 - 2*s**3 - 2554*s**2. Suppose 2*l - l + 9 = 0. Determine x(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60211004*a**5 + 21258486*a?\nAnswer: 1204220080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0536 - 0.054637. Round w to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from {y: 1, x: 2, b: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 1014?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2232*v + 2232*v + 3*v**2 - 4 as h*v + l*v**2 + s and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*2\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 69.2226*2\nAnswer: 138.4452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 10*f + 17. Let h be t(-8). Which is bigger: h or 1\/61?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. What are the prime factors of (3 + g)*(-4)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41445 and 85239?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/9 (c) 5 (d) 1\/12 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*z - 41*z + 75*z)*(-30*z + 30*z - z**3).\nAnswer: 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 + -102. Which is the nearest to -2\/3? (a) s (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51056 divided by 4.\nAnswer: 12764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*i - 2*i - 14 = 0, 3*i - 11 = -2*w. Suppose 3*o + 345 = w*d, 4*d - 4*o = -2*o + 350. What is the greatest common divisor of d and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133031 - -13042?\nAnswer: 201123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32393797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 12005044?\nAnswer: 12005046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/9*(-15)\/(-20)*-6. Suppose -4*v - 5*i + p*i = 5, 3*v - 3*i = 0. Let f(d) = 5*d - 1. Calculate f(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 0.3. Let z = c + -0.20006. What is z rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a - 85. Let u = 45 - a. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-315))\/((-16)\/7 - -2)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u**3 - 2*u**3 - 2*u**3)*(-3 - 32*u + 7*u + 21*u) as n + l*u**4 + c*u + m*u**2 + b*u**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/229 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:19 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2281624 and 24154.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, o: 5, h: 1, p: 3}. Give prob of sequence pokh.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 3*m - 1. Let u be -2 + (-184)\/(8\/(-2)). Let x = u + -30. Suppose -x*l - 12 = -18*l. Calculate k(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*g - 12, 6*g - g + 51 = -4*o. Let c be (0 - (-3)\/o)*(-1 + 1). Calculate the common denominator of -83\/10 and (-2)\/((-4)\/(237\/33 - c)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 414*t**4 + 110*t**2 + 1440623 wrt t.\nAnswer: 1656*t**3 + 220*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2280 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 7*s + 14. Let i be l(4). Suppose 0*t + i*t + 4*h = 40, -3*h - 54 = -2*t. Let c = t + -8. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u. Let l(x) = -2*x - 3. Let z(q) = -q - 1. Let j(g) = l(g) - 3*z(g). Let o(n) = -5*n**2 + 5*n. Let r(d) = 5*j(d) - o(d). What is s(r(w))?\nAnswer: -55*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:03 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/9)\/((-17)\/(85\/2)*280\/(-7))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 27. Let d(s) = -414*s + 122*s + 120*s + 173*s. Calculate d(z(t)).\nAnswer: t - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k - 54*k - 3441 = 0. Put k, -0.3, 2, 0.4, -5\/3 in increasing order.\nAnswer: k, -5\/3, -0.3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 230*g**2 + 76*g - 6154. Determine a(115).\nAnswer: 2586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from wdddddddwdddwddwdw?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*c - 12*c - 12*c + (c - 2*c - c)*(-6 + 1 + 3)*(-6 + 15 + 9).\nAnswer: 59*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*(1 - -51). Let m(j) = j - 4. Let s(t) = 92*t + 2 - 88*t - 2 - 17. Determine h*m(y) + 6*s(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*m = -m - 10, 0 = -4*b + 2*m + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + (sqrt(891) - (sqrt(891) + -3*sqrt(891)*-4)) + 3)**2.\nAnswer: 648*sqrt(11) + 128313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 13*o + 210. Calculate r(-19).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6223 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/53655792 and -25\/64704?\nAnswer: 214623168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/33 + 35\/(-95).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 13*o - 2704. What is p(46)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2\/21, 0.1, 10, -115.\nAnswer: -115, -2\/21, 0, 0.1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -3759252.1801 and 708.\nAnswer: -3758544.1801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110427352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*b - 3 - 2, -3*u - 2*b + 1 = 0. What is the first derivative of -175*y + 100*y - u + 86*y wrt y?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 0.4, -2\/19, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*r - 164, -4*r + 5*y = 2*y - 199. What is the remainder when r is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l**3 - 2*l)*(-100 + 6*l**2 + 99 + 2*l - 7*l**2).\nAnswer: -2*l**5 + 4*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60324907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13771305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, 21, 0 in decreasing order.\nAnswer: 21, 9, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*2*-3*-6)\/((sqrt(66) - 3*(sqrt(66) - 1*sqrt(66)))\/(sqrt(44)*4)))**2 + 0.\nAnswer: 663552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -148*i + 150*i - 18. Solve -34 = 5*l - i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-50 + 51 - (1 + 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 381292 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 62. Suppose 49 + z = 2*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1722 + 1719. What is the second smallest value in 5, v, 171, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 28 = -7*j. Let s = 93 + -43. What is the least common multiple of s and (-32)\/90*j - (-4)\/(-30)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 - 26*j**2 + 52*j**3 + 8*j**2 + 18*j**2 + j wrt j.\nAnswer: 156*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8605133 divided by -1?\nAnswer: -8605133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11782 and 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3908055911?\nAnswer: 71, 55043041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 18*b**2 - 67*b - 16. Let n be y(-13). Sort n, -4, 0.5 in increasing order.\nAnswer: -4, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/21 + (-152)\/(-133). Let g = -28 - -43. Suppose -v = 2*d - g. Solve -s + 3*s - d = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 30. Let l be g(-10). Which is smaller: l or -4\/51?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 i when three letters picked without replacement from auwuiua.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.071 and 7?\nAnswer: -0.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (1 - -7 - 14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -12*x + 68. Let d be -32*2\/x - (8 - 14). Let s = -0.3 + 0.4. What is the closest to d in -1\/3, s, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-184)\/(-40) - 12 - -8)\/((-9)\/(-25))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -462.5 and -37739.\nAnswer: 17454287.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.654 + -1.354. What is the nearest to w in 52, -10, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 6 = -2*q - 76, -4*q + 96 = -5*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41, 1, -1\/2, 0.3?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:00 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10525680 divided by -9.\nAnswer: 1169520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -3*a**2\/2 - 16*a + 1. Let p be z(-7). Is 6 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 11100?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3 (b) 2\/13 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -93*h + 96*h - 5235. Let a = 3389\/2 - h. Calculate the common denominator of -23\/72 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 - 17056*v + 102*v**2 + v**3 + 342*v**2 + 71598 + 131014 + 628*v = 0 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**3\/3 + 5*y**2\/12 + y\/6 - 16. Factor s(w).\nAnswer: -(w - 1)*(6*w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42389222996 plus 6?\nAnswer: 42389223002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 19 = -w - 2*l, l + 35 = 5*w. Suppose 3*j - w*j = -9. Let y(p) = 2*p**2 - p. What is the tens digit of y(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 10 (c) -3 (d) -0.5 (e) -4 (f) -2\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*x - 2*x = -4, -3*h = -x + 1. Suppose 0*i - 2*i - 26 = h. What are the prime factors of (i - -1)*20\/(-16)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 906776 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137414 (base 13) to base 15.\nAnswer: -95268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/254 + 3978\/635. What is the common denominator of y and 1\/71?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/4, -8\/9, -3, 4\/7, 29 in ascending order.\nAnswer: -3, -8\/9, -0.4, 1\/4, 4\/7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 616640 and 3768?\nAnswer: 290437440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4557557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5340007 by 1.\nAnswer: 5340007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -818547534*q**3 - 2*q**2 + 11271111*q - 6 wrt q.\nAnswer: -4911285204*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1010100000101111 (base 2) to base 5\nAnswer: 2334210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 11 + 2)*(-130 - 50 - 59)*(d**2 - 3*d + 3*d).\nAnswer: -1912*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z - 2*z)*(-2*z**4 + z**4 - 2*z**3 + 3*z**4).\nAnswer: 4*z**5 - 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34\/4)\/((-8)\/(-10)). Let q = 71\/4 - g. What is the common denominator of 17\/4 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51503160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, 5, 0, 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**5\/90 - 77*g**4\/18 - 5929*g**3\/9 + 394*g**2. Factor o(j).\nAnswer: -2*(j + 77)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2 - 5 + 3*q + 2. Let k be c(3). Let f = -6 + k. Solve f*v - v - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87876*n**3*s**4 - 5*n**3*s + 43*n**3 - 47*n**2*s**2 - 3*n*s**5 wrt s?\nAnswer: -2109024*n**3*s - 180*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1056 divided by -22.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 12 = -2*a, 3*f + 49 = 2*a + 30 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3730 + -3727. Solve -h + 3*h = -r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19062 + -19079. Let r(o) = -32*o**2 - 17*o + 8. Let b(w) = -11*w**2 - 6*w + 3. Determine x*b(q) + 6*r(q).\nAnswer: -5*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2 + 2)*(-201*k - 2*k**3 + 425*k - 184*k).\nAnswer: 4*k**4 - 80*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -25, -32, -41?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.117047 months to centuries.\nAnswer: 0.0159308725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5501.\nAnswer: 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 21*l = 13*l - 584, 0 = 5*t + 5*l - 685. Is 5\/3 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0 + 0*q**3 + 1\/105*q**5 + 0*q**4 + 1\/392*q**8 + 2*q**2 - 3*q + 1\/60*q**6 + 8\/735*q**7. Solve r(i) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/(p*p\/p**(-4))*(p\/(p*p**(1\/5)))**33)**37 assuming p is positive.\nAnswer: p**(-2886\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4967351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015762866 a multiple of 9209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14828*u**3 - 14832*u**3 + 29666*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/110569 or 0.7?\nAnswer: 19\/110569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + ((-3835)\/(-236))\/((-43)\/(-8)))*2?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**5 - 4066*b**4 + 72222*b**3 - 163250*b**2 + 126118*b - 31020 = 0.\nAnswer: -1034, 1\/2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-163)\/652)\/((-1)\/(-96)*-3))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 5*n**3 + 8818*n**2 - 17 - 8818*n**2.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -22 (c) -0.5 (d) -4 (e) 16 (f) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5254403 and 3753145?\nAnswer: 26272015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3904\/21 - 186. Let p(n) = 2*n + 12. Let u be p(-8). Let h be u\/8 + 6\/8. What is the third biggest value in b, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 9*u**2 - 6*u - 11. Let r be j(8). Let o = r - -5. What is the derivative of 4*z**4 + 5 + 0*z**4 + o*z - 10*z wrt z?\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 164 = -4*i + 155, 4*i - 5*k = -13. Let q(c) = c. Let y(f) = f**3 - 5*f. Give i*y(a) - 10*q(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -111 + 78*l + 318*l**3 - 76*l - 316*l**3 + 21*l**2 in the form k*l**2 + i*l + r*l**3 + s and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11080054 + -0.109204. What is a rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-9 - 35\/(-2))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/14 and 73\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -579 - -607. Solve -19 = -2*o - 3*o + 6*z, 5*o - i = -3*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -520 - 1204762?\nAnswer: -1205382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 - 4*l**4 - 7*l**2 + 2*l**3 - 33402 + 33386 as a*l**4 + c*l**2 + k*l + h + b*l**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 74074471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10303+3.3\nAnswer: 10306.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*p = p + 25, 3*s + 3*p = 30. Let r(a) = -a**2 - 12*a. Let o be r(-10). Suppose x = s*x - o. Solve 0*n = -2*w + 3*n + 2, 0 = x*w - 2*n + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 3\/5, 0, 219\/4, 1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 40*h + 60.\nAnswer: 5*(h + 2)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - h)*(-1 + 2 + 1) + (-1 + 4 - 5)*(4*h + 4*h - 6*h) + (12 + 7*h - 12)*(0 + 3 + 2) - h - h + h.\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -0.1 (c) 0.1035 (d) -3\/4 (e) 25 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 4*w + 2*h + 29, 4*h = -2*w + 78. Let c = w - 14. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154920 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 6:23 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 + (574 + -586 - (1 - -29)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 103 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, e: 1, w: 1, q: 5, n: 4}. Give prob of sequence ne.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 1:12 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 2 f when four letters picked without replacement from ifaclqlcf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -10. Let a = 1 - t. Solve -4*d - a = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (11 - (-22 + 55)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 10) to base 9.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 2*f - 2. What is the tens digit of d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 0 + 24 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 19. Let f(v) = v**2 - v - 2. Let t be f(0). Let j be t\/(-1) - (3 + 1). Sort h, j, -1 in descending order.\nAnswer: h, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*w - 16 - 13, 5*t - 45 = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -107 + 106 + 10*y**2 + y**2 - y. Let w be -1*2\/4*2. Calculate the remainder when 32 is divided by o(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let j(z) = 1 + n - z + 0*z. Let v be 1\/6 - 861\/(-126). Let m(c) = 4*c - 10. Calculate v*j(u) + 2*m(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 648 = -i, -m + 0*i + 3*i = -151. Suppose 2*x + 46 = -g, 0 = -g - 3*g - x - m. What is the second smallest value in -4, g, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30, 1, 192727, 3\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 0, -2, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9755362 is divided by 244?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 9:24 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -447 - -441. Let o be (g - -4)*(-4 + (-9)\/(-3)). Factor 2\/5*h - 8\/15 + 2\/15*h**o.\nAnswer: 2*(h - 1)*(h + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2 - 5*q**2 + 14*q**2 - 2 - 10*q - 2. Let l(m) = -19*m**2 + 21*m + 13. Let k(d) = 6*l(d) + 13*v(d). What is the second derivative of k(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 + -5.1. What is the third smallest value in -4, 2\/11, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6536476 divided by 3268238.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20.1, -1\/5, -1033, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -4\/75*g**5 - 5\/84*g**8 - 4\/25*g**6 + 0*g + 0 + 0*g**4 - 6\/35*g**7 + 0*g**3 - 6*g**2. Factor r(k).\nAnswer: -4*k**2*(k + 1)*(5*k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865.42 micrometers to kilometers.\nAnswer: 0.00000086542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(99) - sqrt(99)*-1)*-3)\/(-6*-1*sqrt(225)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 30679701?\nAnswer: 674953422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = -510. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 79242*d - 11691792.\nAnswer: 2*(d - 39768)*(d + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g\/g**(16\/5))*g*g\/(((g**18\/g)\/g*g*g)\/g)*g*(g**10*g)\/g**11)**(-18) assuming g is positive.\nAnswer: g**(972\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/((-154)\/(-35))*(-2)\/(-8))\/(2\/80)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - s + 4 = 1, -l - 4*s - 9 = 0. Suppose -4*t = 3*g - 79, l = -2*t + 4*g + 15. Suppose 93 = 2*i + i. Calculate the remainder when i is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 262*m - 78676. What is w(-439)?\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kll when three letters picked without replacement from ezezezellzkzzekzz?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)\/i)**(-3\/14))**(-8\/13) assuming i is positive.\nAnswer: i**(-48\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 165.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 25*j**2 - 29*j + 34. Let w be d(-24). Calculate the remainder when (220\/w)\/((-2)\/(-392)) is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 580 - 540. What is the greatest common divisor of r and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1168, 2, -158, -1\/10, 1, -5\/8, 4?\nAnswer: 1168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - -8 - (10 + 6 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372443, -744946, -1117449?\nAnswer: -1489952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + (10 - 16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 154*s**2 - 10*s - 3. Let d(h) = 4*h**2. Calculate g(d(u)).\nAnswer: 2464*u**4 - 40*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -181, -367, -553, -739, -925?\n\"Answer: -186*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 8?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 17\/210*o**5 - 1\/140*o**6 + 3*o**2 - 1\/3*o**4 - 19 + 4\/7*o**3 + 0*o. Find w, given that c(w) = 0.\nAnswer: 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1587*o**3 + 10206*o**3 - 1012*o**3.\nAnswer: 10781*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317742 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.794 + -43.984. Let v be 4\/(-2) - (-8)\/3. Which is the nearest to v? (a) 0.4 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -5 + (38 - -1). Suppose -4*w + n = -3*y, -2*w - 2*y - 32 = -6*w. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34367*i**2*x**3 - 327*i**2*x - 65*i**2 - 26*x**3 + 5 wrt x?\nAnswer: 206202*i**2*x - 156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6*-12 - -1. Let l be 8\/(-3)*(-9)\/4. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*d + 104*d - 12 + 12.\nAnswer: 228*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 - 191. Let f(w) be the third derivative of 0 - 1\/75*w**5 - p*w**2 + 1\/75*w**6 + 0*w**4 + 0*w**3 - 2\/525*w**7 + 0*w. Suppose f(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1 + 2*y**2 + 5*y**2 + y**3 - 5. Let f be k(-7). Let c = f + 11. What is the least common multiple of 5 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**3\/3 - 5*u**2 + 5*u - 3. What is the remainder when 82 is divided by a(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -48 - ((-2 - 2) + 3). What is j rounded 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 9:47 AM and 5:06 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((4*9\/8)\/(-6))\/(1\/(-8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkvvvttttvkvutvtlt. Give prob of sequence kkt.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 4 - 15 + 1 - 55*l**3.\nAnswer: -55*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**3 - 16680*u**2 + 14010660*u - 165734640 = 0. Calculate u.\nAnswer: 12, 1662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814*l + 3623*l - 804*l.\nAnswer: 3633*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**4\/12 - 3*g**3 + 18*g**2 - 9*g. Let f be c(16). What is the greatest common divisor of f and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -113, -1081, -3749, -8969, -17593, -30473?\n\"Answer: -142*n**3 + 2*n**2 + 20*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357\/(-273)*-13 + -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11302 (base 4) to base 14\nAnswer: 1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgogoooff. What is prob of sequence gog?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1162*p**2*x**2*y - 3*p**2*x - 16*p**2*y + p - 2*x**2 + 27*x with respect to y.\nAnswer: 1162*p**2*x**2 - 16*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 528 + 57. Let b = 124 - c. Suppose -14707 - 2352 = -b*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88988 is divided by 17510?\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.908 + -0.89746. Round a to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 3, -1, 1 in decreasing order.\nAnswer: 8, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*p + 6*p - 108 = 0, 4*p + 84 = 4*k. Is (-592)\/(-10) - 5\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -754064.947 - -5.\nAnswer: -754059.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 0*j - 10, 0 = 4*s - 20*j + 16*j - 16 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**5 + 3*f**4 - 48*f**3 + 60*f**2 = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 5*b + 4*b + (b + 5 - 5)*(-1 - 5 + 2) - 3 + 196*b - 98*b - 103*b.\nAnswer: -7*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in 5, -10, -33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*w**2 - 429 + 429 + 1 - 1 + w**2 + (2*w**2 - 2*w**2 - w**2)*(7 - 4 - 1))*(21*w - 26*w + 12*w - 7*w**3).\nAnswer: 721*w**5 - 721*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + -6 + 0 + (-3 - -1). Let q(j) = -5*j**3 + j**2 + 3*j - 2. Let x be q(o). Suppose 28*b - x = 26*b. What is the greatest common divisor of 12 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s + 209*s + 376 - 2701 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 15. Solve j*f = -9 - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 5. Let t(z) = -3*z + 2. Let h be t(4). Let w be (36\/h)\/((-3)\/(-15)). Let r be 2 + w\/2 + -3. Let d(s) = -s + 2. What is r*d(v) + 4*u(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.57+0.18843\nAnswer: -0.38157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/11 - 94298*x\/11 - 94296\/11 = 0.\nAnswer: -47148, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -113480 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + 0*j**2 + j**5 + (-6*j**2 + 5 - 5)*(-j**3 - j**3 + 3*j**3) + 45 + 14*j**5 - 23 - 23 + (-3*j**4 + 4*j**4 - 2*j**4)*(-3*j - 2*j + 3*j).\nAnswer: 11*j**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 6*d**2 + 5*d + 5. Suppose 0 = 5*l - 5*t + 50, -81*l - 5*t = -78*l - 10. Give m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 32 = -5*u, -3*v + 11 = 3*u + 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 3, -24 in increasing order.\nAnswer: -24, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**6\/3 + 8*p**5\/5 + 3*p**4 + 8*p**3\/3 + p**2 + 124. Factor x(q).\nAnswer: 2*q*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102143423 (base 5) to base 3.\nAnswer: -210202002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 43. Let y = v + 11. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0*t + 0*t**6 + 1\/30*t**5 + 0*t**4 + 0 - 2\/105*t**7 - t**2 + 0*t**3. What is the third derivative of s(q) wrt q?\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2073228 to the nearest 1000.\nAnswer: -2073000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*b + 2240 = 0, 4*b = -2*c - c + 1680. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 5\/6*z**6 + 11\/3*z**3 + 0*z**4 + 12 + 0*z + 0*z**2 + 0*z**5. Find the third derivative of m(i) wrt i.\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 58 = 4*r - 6, 4*r = 3*m - 40. Let n be ((-5)\/((-15)\/m))\/(-1). Let z = -11 + 15. What is the second smallest value in n, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4308 + 2153 + 2154 - 2*d**3. Suppose 0 = s - 4*m + 11, s + 4*s + 3*m = 14. Let b(v) = -v**2. Let z be b(s). What is t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 43*c**6\/5 + 7*c**3 - 188*c. Find the second derivative of w(q) wrt q.\nAnswer: 3096*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 125 - 125)*(-5 + 4 + 2).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmxcotqccqoqxqo. What is prob of picking 1 c, 1 t, and 1 m?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 804*y - 1598. What is d(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 - 24*c**2\/5 - 72*c\/5.\nAnswer: -2*c*(c + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1014306 divided by 6.\nAnswer: 169051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 23)*2\/5. Let v be -2 + (x - 3) + 0. Sort 1, v, 0 in increasing order.\nAnswer: 0, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -18339.\nAnswer: -43\/18339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/((b**(-1\/2)\/b)\/b))\/b*b)**(-1\/16))**(-40) assuming b is positive.\nAnswer: b**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - u + 0*u - 4*u**2)*(-2*u**2 - 604*u + 819*u + 913*u).\nAnswer: 2*u**4 - 1126*u**3 - 1128*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -363250 + 116966393\/322. Find the common denominator of n and -91\/1058.\nAnswer: 7406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60159223?\nAnswer: 71, 401, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**7\/189 - t**6\/45 + t**5\/90 + t**4\/18 - 18*t. Determine z so that n(z) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -905821 divided by -129403?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmrrdrdiddrdxddrdm. Give prob of picking 1 d and 1 i.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 1369*x**6\/105 - 1406*x**5\/35 + 253*x**4\/7 - 76*x**3\/21 + x**2\/7 - 1927*x. What is s in j(s) = 0?\nAnswer: 1\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -941\/1260 - -11\/180. Let q = x + 2\/5. Let n = -0.8 + 3.8. What is the closest to -1\/3 in q, n, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2122 is divided by 1053.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i - x + 20 = 25*i, -2*x + 5 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -431 - -431. Let q = 0.1 - -0.2. Let v = -0.2 - -1.2. Which is the closest to v? (a) -5 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.99 + 0.846. Round i to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47545 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1364 (base 9) to base 16\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -68648*y + 1578905. Determine r(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -19 + p**3 - 2*p**2 - p**2 + 5*p + 5. Suppose -5*s + 4*w = -4, -4*s = 4*w + 8 - 40. Let x be l(s). Calculate the highest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 8. Let k(q) = -2*q**2 + 8. Suppose -2*f = 3*p - 3, 1 - 6 = -p. What is f*x(z) - 7*k(z)?\nAnswer: 2*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -43 + -36 + 60 + 12\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -7571.7\nAnswer: -6057.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v + 8. Suppose 0 = -q - v*q + 70. Suppose 10 = 5*b - g, 0*b + 3*g = -b - q. Solve 3*f = -l - 13 - 0, -f - b = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a kilogram in grams?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l**2 + l + (l - 2 + 2)*(2*l + 0*l + 0*l) + (4*l**2 + 2*l**2 - 4*l**2)*(1 - 1 - 1).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -180*i - 9528. Give a(-53).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 1083 - 963. Let p(i) = -i**2 + 9*i - 11. What is p(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (0 - (4 - 4)). Suppose -n*s + 10 + 0 = 0. Suppose 3*r + 0*r - 50 = -4*x, -s*x - 2 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24223.85ml to litres.\nAnswer: 24.22385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(5 + (sqrt(288) - -1*sqrt(288))) + 0.\nAnswer: 30 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 a, and 1 p when four letters picked without replacement from {a: 5, z: 3, p: 8}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -847 - 1533618?\nAnswer: -1534566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.987 + -0.023. What is t rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -574*g + 574. Let x be b(1). Solve -f - 15 = y - 5*y, x = 4*y - 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(960)*-6 + (sqrt(960) - 2*sqrt(960))*3)\/((sqrt(48) + (sqrt(48) - 1*sqrt(5808)))*-4))**2*-4.\nAnswer: -125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62819 is divided by 31406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1436)\/558 + (-12948)\/(-100347)?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:42 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 - -207 - (1 + -1 + 0 + -7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -14976*m. Let f(h) = -592*h**2. Determine i(f(j)).\nAnswer: 8865792*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + (-6 + 5 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:42 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2149, 2153, 2159, 2167?\n\"Answer: u**2 + u + 2147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4028 + 4024. Let r = -0.3 + 0.2. Which is the smallest value? (a) y (b) 3 (c) -0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -s - 4*a, -5 = -3*s + 2*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4\/3 - l**3\/3 + 625*l**2\/3 + 625*l\/3 = 0?\nAnswer: -25, -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2653731?\nAnswer: 3, 294859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u, 0*u - 42 = -5*o - u. Suppose 77 = o*g - 19*g. Let x(k) = k**2 + 9*k + 7. What is x(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4\/5 - 6*v**3\/5 + 198*v**2\/5 + 1126*v\/5 + 924\/5 = 0.\nAnswer: -7, -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 351, 694, 1037, 1380, 1723?\n\"Answer: 343*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 2*o + 2. Let k(x) = -x - 14. Let w be k(-11). Let t(q) = -2*q**2 + 3*q - 2. What is w*f(h) - 2*t(h)?\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -131, -357, -741, -1325, -2151, -3261?\nAnswer: -4697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2038407*q + 18345658. Determine z(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.99528 millennia?\nAnswer: 99.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190*v**4 + 83 wrt v.\nAnswer: 760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-20)\/(-525)*15\/(-6)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 3*v - 2. Let r be m(-2). Let c be (-1998)\/(-2 - r) + -1. What is c rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0*u - 4 + 6*u**3 - 3*u - 4*u**2 - 2. Let q(h) = 8 + 3*h**3 + 2*h**3 + h**2 - 7 - 6*h**3. Let j(w) = -2*a(w) - 14*q(w). Factor j(y).\nAnswer: 2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-5) + 5 + 7 + 32. What is the highest common factor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:15 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4082650 to the nearest ten thousand.\nAnswer: 4080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36030, -36033, -36036?\nAnswer: -36039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9\/c**13*(c**(2\/3))**(14\/9) assuming c is positive.\nAnswer: c**(-80\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -414.1865065 rounded to 2 decimal places?\nAnswer: -414.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 5 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78*(-88)\/(155584\/(-476))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j - 5*a = 73440, j + 5*a - 14718 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 10*r - 49 = 5*g, -3*r - 4*g = 2 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 4*s = 4*p - 8, 5*p = 2*s + 13. Solve -7 = k - 5*z, -p*k - 3*z + 12 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 3. Let u be w(-7). Is ((-16)\/u - 3)*1097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 2*h - 2. Suppose 3*t = 6*t - 21. Let n be p(t). Let q = -20 + 42. Calculate the highest common divisor of q and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -19*l + 24. Let b(o) = -37*o + 47. Let q(a) = 2*b(a) - 5*y(a). What is the derivative of q(h) wrt h?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(0*t + 0*t - t)*(3 - 4 + 2 + (-2 + 2 - 2)*(-3 - 2 + 3) + 2 - 1 - 2 - 589 + 1258 - 1313 - 442).\nAnswer: -2164*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1128 = -4*g, -4*g = 4*w - 7*w + 848. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoojdsossssqdossfq. Give prob of picking 1 j, 2 q, and 1 s.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*r**2)*(r + 0*r - 3*r) + (-25 + 25 - 10*r)*(-r**2 + 0*r**2 + 0*r**2) + 0*r**3 + r**3 - 4*r**3 as p + v*r**3 + w*r + a*r**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1635624542 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35085 - -210511\/6. Let d(y) be the second derivative of 1\/2*y**2 - 21*y + 0 - u*y**3 - 9\/20*y**5 + 1\/12*y**4. What is d(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 4)*(1421*p - 3 - 1462*p + 2).\nAnswer: -246*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 7*v - 5. Let a(p) = -p**2 + 6*p + 58. Let i be a(11). Suppose 13*t - 55 = -i. Determine m(t).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 2*z + 7 + 0*z - 18. Let b be f(11). Solve b*m - 2*m = 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.328.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-3)\/(-45)*15\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 5*z = 7, -452*z = y - 455*z - 21 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 2)*146\/4 + -4. Let h = 387\/5 + g. Factor -2\/5*w**2 + 2\/5*w**3 - 2\/5*w + 0 + h*w**4.\nAnswer: 2*w*(w - 1)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.75 times -25?\nAnswer: 68.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/25012 and 45\/8957.\nAnswer: 1325636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 23*f - 390. What are the prime factors of j(39)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/21 and 95\/18228?\nAnswer: 18228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*t**6 + 4*t**4 + 124671*t**3 - 22528436*t**2 wrt t?\nAnswer: -1320*t**3 + 96*t + 748026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-36)*-2*(-27)\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51, -113, -175, -237, -299?\n\"Answer: -62*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 + 2*n + 1. Let t(v) = -v**2 + v + 1. Let o(x) = 4*x**2 - x - 2. Let l(u) = o(u) + 2*t(u). Suppose -2*j = -j + 2. Determine j*g(s) + 5*l(s).\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:30 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 2*i - 2. Let u(v) = -2*v**3 - 3*v - 3. Calculate -4*u(f) + 6*x(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 29 = -3*h, -19*h = 6*h + 5*a + 90 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/63*(-14)\/6)\/((-4)\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 1124 = -11*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50820416016860 less than 0.03?\nAnswer: -50820416016859.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -22 - 25 - (2 + 7 - -2) - -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141166*l**2 - 2 + 2 - 141162*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6)*810\/20. Let x = -49 + r. Solve -2*y - 4 = -5*w, 3*w + x*y + 7 + 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (-5 + sqrt(171) + sqrt(171) + 2))*3 - ((sqrt(171) - (-4 + sqrt(171)*-2)) + 2))**2.\nAnswer: -108*sqrt(19) + 6165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2407*c - 2402*c = -35, -2*u + 10 = -4*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 22. Let h be (-2 + 0\/3)*f\/(-14). Suppose 3 + 40 = 4*t + 5*s, -2*t + h*s + 49 = 0. Which is smaller: t or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elhhlebhhliees. What is prob of sequence siel?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81.2 - 81. Sort -1.1, -1\/5, i, 5 in ascending order.\nAnswer: -1.1, -1\/5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 10. Let l(b) = -3*b - 11. Let t(q) = 3*l(q) + 4*s(q). Let r be t(4). Suppose 51 + 69 = r*n. Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0.5, 0.1, -4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unpppuprurpprnu. What is prob of picking 4 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 135714299 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47.9 - 48. Let y = 599 + -722. What is the closest to 0 in y, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 18*p - 448. Let q be h(25). Let u(v) be the second derivative of 7\/4*v**5 + 0*v**q - 28*v + 15\/2*v**3 + 0 - 25\/4*v**4 - 1\/6*v**6. Factor u(s).\nAnswer: -5*s*(s - 3)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > -10699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 169 + 106. Let i = w - -3. Suppose q + q = i. Calculate the remainder when q is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.61 - -0.11. What is the nearest to -1 in p, -4, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336 times -1345\nAnswer: 451920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9298314331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**(-5\/6)))\/c)\/c**(-3))\/((((c**(-1\/5)*c)\/c)\/c)\/c*c**(-1\/10)) assuming c is positive.\nAnswer: c**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 c, and 1 k when four letters picked without replacement from hbckbh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a - 2*a)*(2*a**2 - 2*a**2 + a**2)*(-9*a**2 + 35 - 20 - 16).\nAnswer: 9*a**5 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 97984, 97996, 98008?\n\"Answer: 12*m + 97972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 - 4*l**4 + 5*l**4 + 3 - 3 - 6*l**4 + (l**2 - 1 + 1)*(l**2 - l**2 - 2*l**2).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/4 - 1*1\/(-4). Suppose q - w*q = q. Suppose -4*x - x - 4*r + 1319 = 0, q = -4*x - r + 1053. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 - (47 + -8 + 31)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 + 173.3. What is the closest to -1 in b, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568776613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n - 17811 = -33*n + 3*g, -2*n = 3*g - 11884. Let u = n - 9289. Round u to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -39*s - 72. Suppose -2 = -h, 0 = -4*x + 2*h - 0 + 4. What is the smallest common multiple of m(-2) and -7*1\/(x\/(-2))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.079 + 4.921. Let r = 3\/68 - -109\/612. Let h = 40 - 45. Which is the closest to h? (a) j (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7784 is divided by 146.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12.16 times -178\nAnswer: 2164.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*l, 299 = 2*i + l + 2*l. What is the remainder when i is divided by (-39*3\/6)\/(2\/(-4))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dztzttdtzttz. What is prob of picking 2 d, 1 t, and 1 z?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1928 is divided by 674?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Suppose r = 2*o - 15. Let g be 1920009\/(-12) - o\/(-12). Round g to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 19 - 1 - 9*h + 22.\nAnswer: -9*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227386311.\nAnswer: 3, 5857, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q + 150. Calculate the remainder when 66 is divided by q\/(2\/1) - -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5544\/546 - 2\/13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, h: 15, v: 2}. Give prob of sequence vvh.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w. Suppose -805 = -w*r - 4*r - 3*z, r = z + 210. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o = -61*o + 537381. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11789 + 11785. Sort 0, 1, 12, t, 0.3 in ascending order.\nAnswer: t, 0, 0.3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6924, -6922, -6920?\n\"Answer: 2*k - 6926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = 9*b - 5*k - 19, 0 = k + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0191 + -0.2809. What is the closest to 2 in -11, -1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/31134 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -5. Let v be l\/(-130)*1*(5 - 0). Let d = -3 - -2. Which is the closest to 2\/7? (a) v (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (11 - 5) + (34 - 76)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3835687 millimeters?\nAnswer: 383568.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2593, -2675, -2813, -3013, -3281, -3623?\n\"Answer: -z**3 - 22*z**2 - 9*z - 2561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 5*g**4\/4 + 2*g**3\/3 + 7*g**2\/2 + 9*g - 10885. Let h(d) = -2*d**3 - d**2 - 3*d - 4. Calculate 6*b(v) + 14*h(v).\nAnswer: 2*v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11958 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/6)\/(((-2)\/6)\/1)*(-1308252)\/545105?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13140 divided by -9?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/21 - (-46)\/69?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**3 + w**2 + 4. Let x be i(-3). What is the third derivative of o**2 - 19 + 6*o**2 - 19 - 21 + 61 + x*o**3 wrt o?\nAnswer: 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 12:10 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.3 (b) 2\/13 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4995139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(693) + (-1*sqrt(693)*5 - sqrt(693)) + sqrt(693) + sqrt(693))\/sqrt(11) + 1 + -1*sqrt(9072) + 2*(1 + sqrt(9072) - sqrt(9072)).\nAnswer: -45*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17871115 is divided by 2999?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 64 = 5*m + 43, -4 = j. Solve -m*h - 16 = -4*y, y = 6*y + 2*h + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3*q - 302*m**3 - 216*m**2*q + 3*m*q + 600796*m - 6221*q + 1 wrt q.\nAnswer: m**3 - 216*m**2 + 3*m - 6221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105245788 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 - 2*a**3 + 15*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*-4*16\/(-880)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 29. Let o = -57 - -52. Sort -10\/9, o, a, 1 in ascending order.\nAnswer: o, -10\/9, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*(-12)\/270*(-60)\/(-5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 11 = -11. Suppose m = -20*l + 12*l + 120. What is the greatest common divisor of l and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*8\/36*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8180951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -64, -275, -626, -1117?\n\"Answer: -70*s**2 - s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*z**2 + 36\/5*z**3 - 42\/5 + 124\/5*z + 2\/5*z**4.\nAnswer: 2*(z - 1)**3*(z + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 3*o + 10. Let j be d(-1). What is the greatest common divisor of 1278 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84090000 to the nearest one million.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l + 2*l**3)*(-11 + 16 - 12).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 359610 take away 36.8?\nAnswer: 359573.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 20580*l**3 + 20565*l**2 - 41150*l.\nAnswer: 5*l*(l - 1)*(l + 2)*(l + 4115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**3 - 7647926*q**2 - 533282*q + 12.\nAnswer: 24*q - 15295852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13079 and 87535?\nAnswer: 27923665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/484*-11)\/(-3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -1\/150*c**6 - 1\/15*c**3 + 0 - 1\/75*c**5 + 1\/20*c**4 + 0*c - 1\/840*c**8 - 2*c**2 + 1\/175*c**7. Factor v(p).\nAnswer: -2*(p - 1)**4*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6036549?\nAnswer: 3, 167, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 883233 a multiple of 684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s - 3. Let l(x) = 32*x - 23. Let a(z) = 11*z - 8. Let d(n) = 11*a(n) - 4*l(n). Calculate 5*d(b) + 6*j(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.41 - -12.59. Let n = -13.3 + t. What is the third biggest value in n, -3\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**5\/20 + 17*u**4\/12 + 10*u**3\/3 + 9*u**2\/2 - 2*u. Let c be ((-7)\/3 - -2)\/((-16)\/(-720)). Is 31 a factor of i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3961 + 3962. What is the third biggest value in 11, n, 2\/9, -2\/17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1008.5103 - 1002.53. Let r = l - 6. Round r to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.3. Let f = -2.2 + 6.2. Put f, x, -0.3 in increasing order.\nAnswer: -0.3, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/11 + 2*n**2\/11 - 268*n\/11 - 1248\/11 = 0.\nAnswer: -8, -6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 5.1. Let j = 0.1 + n. What is the nearest to 1\/2 in 0, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57145.\nAnswer: 5, 11, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142590 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) + (-3210)\/(-9). Suppose -2*p = -5*p + u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 - 168. Put i, -6, -5 in descending order.\nAnswer: i, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r + 1. Let u(f) = -f**3 - 6*f**2 - 6*f + 32. Determine -6*d(p) + u(p).\nAnswer: -p**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39655410203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:23 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10402 divided by -147\nAnswer: 1486\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y + 13. Suppose -16*h + 9 = -55. What is the remainder when i(9) is divided by -1 - 0 - (-26 - 4\/h)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) 0.5 (c) -1 (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 2, q: 1, j: 1, g: 1, f: 1}. Give prob of picking 1 q, 1 f, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 29 - 52 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**7\/11340 + i**6\/3240 + i**4\/3 + 3*i. Let j(w) be the third derivative of z(w). Factor j(g).\nAnswer: -2*g*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540917716 a multiple of 1859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -4*p - 36. Let m(g) = -g**3 - 1. Let v be m(-1). Solve -2*r - 20 = -p*r, v = 5*t + 2*r - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3866462.5+-0.0439\nAnswer: -3866462.5439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010774 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 26 - 29. Suppose 2*s - w = 3*p, 5*p - 4 = -4*s + 7. Which is the nearest to 1\/2? (a) -2 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1 - 1 - -3). Let g(k) = k**3 - k**2 + 2*k - 1. What is the remainder when 1 is divided by g(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.08. Let b = 14.51 - 13.53. Let h = b + s. Round h to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231 and 3.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 104*w**2 - 424*w - 453. What is the least common multiple of g(108) and 18?\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 73, 174, 309, 472, 657?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -164 and 2839.\nAnswer: -465596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -256278028 and -4?\nAnswer: 1025112112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Let a be 3\/3*7 - 2. Suppose -4*z + 2*z + 1 = 3*u, 4*z - a*u + 31 = 0. Sort z, 2, j in descending order.\nAnswer: j, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4 + 2. Suppose 5*q = -15, 3*v + q = 16 + w. Let f be 18\/8 - (-1672)\/(-608). Which is greater: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 534.002179 - 534. Round i to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from {h: 4, g: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -153 + -12017?\nAnswer: -12171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 5:08 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 3*m**2 + 1\/30*m**7 + 0 - 73\/24*m**4 - 6*m - 2\/15*m**5 + 0*m**3 + 0*m**6. What is the second derivative of q(u) wrt u?\nAnswer: 84*u**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24128704 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (148\/999*-9)\/(8\/78)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13065 and 1419.41451.\nAnswer: -11645.58549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*j - 25, 4 = -4*q - j + 11. Suppose -q*b + 6*b - 108 = 0. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89957*m**3 + 269740*m**3 - 89918*m**3 - 89901*m**3.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 11 (b) -2\/23 (c) -0.2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 + 1640*y**3 + 3350*y**2 - 4011000*y - 80685000 = 0. Calculate y.\nAnswer: -815, -30, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 33454031 (base 6) to base 2\nAnswer: 11111000100110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 163337 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5758704.17 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/274386 and 51\/253258.\nAnswer: 249965646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 617*h**3 - 6*h**2 + 18*h. Let p(u) = -22828*u**3 + 221*u**2 - 663*u. What is 221*j(t) + 6*p(t)?\nAnswer: -611*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10260 and 796905.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(sqrt(1008) + 1) + 2 + 4*((sqrt(1008) + -1)*-4 + sqrt(1008)) + 4 + -3)**2.\nAnswer: -4320*sqrt(7) + 101124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**8\/6720 + u**6\/360 + u**4\/4 - 2*u. Let b(i) be the third derivative of s(i). Find the second derivative of b(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(2\/3)))**(17\/4)*w**(-5)*w**(4\/7)\/w)**(2\/3) assuming w is positive.\nAnswer: w**(-109\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*p**2 - 278*p**2 - 128*p**2 + 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 176, -27, -1\/2, -0.4, -558, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.06 to one dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/1)\/(-24))\/((-3363)\/2832).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 10*y + 15. Let o be i(-10). Suppose 0 = -3*m + o. Solve -r - r = 2*g, m*r - 12 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 6. Suppose -11*r - 58 = 8. Determine k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**3 - 4*j**2 - 9*j + 18. Let p(a) = 2*a**3 + 2*a**2 + 4*a - 8. Let x(z) = 7*p(z) + 3*q(z). Calculate x(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 5\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 - c. Let g be q(1). Let p(h) = -10*h + 5*h**2 + 1 - h**2 + 3 - 3*h**2. Let a be p(10). Solve -4*k - a*o = -g*o - 6, -5*k + 15 = 5*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/21 - -4 - (-303)\/(-707).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (1 - (17 - 11))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6293\/2 + 169907\/54. Let t = 159 - 1115\/7. What is the second smallest value in t, -2\/5, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**16*g**(-1\/42)\/g*g*g)**(-32))**(2\/43))**(-29\/4) assuming g is positive.\nAnswer: g**(165416\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(36\/(-15))*-2. Suppose 2*s - 17 = -3*r + s, 2*r - h*s = -17. Suppose -5*l + 4*y = -30, 0 = -r*l + y + 3*y + 24. Solve 0 = 4*d - 6 - l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -865 (c) 5 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.144409 rounded to two decimal places?\nAnswer: 3.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16789 - 1.2?\nAnswer: 16787.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196946 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1*m)**10)**(-25))**(-12) assuming m is positive.\nAnswer: m**6000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 720204924 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 11*x**2 + 7*x - 23. Let t be y(-10). Let n be -11 + t + (-29)\/(-8). What is the second smallest value in n, 7, 1\/6, 1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115386702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 73 - 23 = 0. Suppose 8 = -2*q - x. Let o = q - -17. What is the greatest common divisor of o and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*r**5 + 420*c*r**4 + c*r**2 - c wrt r.\nAnswer: 120*c*r**2 + 10080*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxx when three letters picked without replacement from xxggxxxxxxx.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h - 5. Let p(b) be the second derivative of 3*b**5\/20 + b**4\/6 + b**3\/3 + b**2\/2 - 12*b + 59. Give p(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = -f. Suppose -5*g = -2*b - 28, 0 = 5*g + 2*b + 3*b. Let k(i) = i**3 - 5*i**2 + 6*i - 2. Let u be k(g). Solve -u = -a - f*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 + -87. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - f = 5, 692*f + 43 = 3*v + 697*f. Let q = 0.2 - 0.4. Let l = q + 0.2. What is the biggest value in v, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/24*52956\/(-535444)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4305923?\nAnswer: 347, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/12)\/(2\/(-15)). Suppose -d = -m, -5*w + 3*d + 30 = 4*d. Let h(t) = 1992*t. Let k be h(0). Put -11, -3, k, w in increasing order.\nAnswer: -11, -3, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22153 (base 6) to base 10\nAnswer: 3093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - -30 - (-4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (322\/69)\/((-2)\/78). Let l = 114 + f. Let n = l - -78. Calculate the smallest common multiple of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2. Let a be h(-1). Suppose 4*r + 4 = 0, 20 = a*o + 4*r - 0*r. Let f = 0 - o. Are f and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 23*m - 186 = 3*l, -2*m = 5*l - 394. Solve m - 442 = 50*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 497930?\nAnswer: 497930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-12))\/((-10)\/(-1))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = t - 2720, 4*m - 994 = 3*t + 1726. What is the greatest common divisor of m and 952?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:20 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 17)*32\/14. Let x = 789\/28 - j. What is the closest to 0 in 3, x, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -53. Let z = b - 31. Let h = -23.97 + z. What is h rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1181*q - 1175*q - 22602 = 0. Is q a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6048 rounded to one dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**3 - x**2 + 8*x - 2. Let d(m) = 7*m**3 + 3*m**2 - 15*m + 4. Let i(z) = 3*d(z) + 5*j(z). Let n be ((30\/12)\/1)\/(2\/(-4)). Give i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 8. Let z = 17 - 11. Calculate l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - (-4 - -16 - 0)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 + 15*b**2 + 9*b + 15. Does 26 divide j(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - h - 1. Let v(w) = -32*w**3 + 2*w**2 + 2*w + 43. Let f(s) = 2*a(s) + v(s). What is the first derivative of f(j) wrt j?\nAnswer: -96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -19*g**2 - 2. Let t be y(2). Let i = t + 144. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 123 = 203. Let g(q) = -q**2 - 7*q + 4. Suppose 19 = -4*j - 5. Let y be g(j). What is the greatest common divisor of y and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1183 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*h = 13, 5*h = 4*f + f - 85. Let d(w) = -8*w + 90. Let v be d(f). Let l(j) = -j**2 - 3*j + 5. Give l(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*m**3 - 937*m**2 + 217797*m wrt m.\nAnswer: 768*m - 1874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.4 + 7.7. Let d = 1.3 - y. Which is the nearest to -2\/3? (a) 0 (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + 2 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*o - 99*o. Solve -13 = 4*h + 4*r - 9, o = -2*h - 4*r - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402 (base 12) to base 4\nAnswer: 21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46212 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 5*s**3\/3 + 2. Let b = -5114 - -5172. What is the remainder when b is divided by o(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61387 rounded to the nearest one hundred?\nAnswer: 61400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-10) - 5336\/40*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 55 - 23*z**3 - 107.\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -289 + 190. Let m = p - -105. What is the highest common factor of 66 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 3*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.121, 5 in increasing order.\nAnswer: -0.2, 0.121, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**3 - 25*u + 25*u)*((3 + 1 - 3)*(-2 + 3 - 3) + (6 - 1 - 4)*(-5 + 4 + 0) - 101 + 1341 + 164) as w*u**2 + n*u**3 + g*u + p and give n.\nAnswer: -2802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/3 (b) 5.15 (c) -9 (d) 0.9 (e) 1\/7 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -19. Let x = i + -4.8. Let w = x + 0.8. What is the smallest value in w, 3\/5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66+-350144395\nAnswer: -350144329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -44, -22.\nAnswer: -44, -22, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*v - 78*v - 189*v to c + h*v and give h.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64 + (-18)\/(24\/4). Let y = b - 58. What is the lowest common multiple of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.178 - -81666.7058.\nAnswer: 81666.5278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/1230 - 493\/1230. Let c(j) = 2*j**3 + 4*j - 3. Let r be c(2). Suppose r = d + 4*u, 2*u + 19 = -4*d + 47. Sort d, -4\/5, m.\nAnswer: -4\/5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*n**2 - 156*n + 17757 wrt n?\nAnswer: 82*n - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(2*sqrt(143) + sqrt(143) + sqrt(143)))\/sqrt(11).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8471451, -8471457, -8471465, -8471475, -8471487, -8471501, -8471517?\n\"Answer: -n**2 - 3*n - 8471447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 5. Let m(p) = 9*p**2 + 11*p + 13. Let l(i) = 5*i**2 + 6*i + 7. Let a = -11 - -22. Let f(u) = a*l(u) + y*m(u). Factor f(z).\nAnswer: (z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331.36 + 1374.46. Round h to the nearest integer.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 668734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1762, -3227, -4582, -5773, -6746, -7447, -7822?\nAnswer: -7817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 65*g - 711. Let a be j(22). Is a at most 1439\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r. Let p be c(1). Calculate the greatest common divisor of 36 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 8*g**2 + 11. Give c(-6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 - 29*n + 76. Calculate the remainder when m(12) is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -981591000 to the nearest one million.\nAnswer: -982000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001224005 to six decimal places.\nAnswer: 0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4412745 divided by -4412745?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 8*g**2 - 8*g - 5. Let f be j(-7). Suppose -s - z = -13, 0 = -f*s - 3*z + 4*z + 23. Solve 2*c = -v - 5, 2*v - 3*c - s = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1648356135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/5, -3, -1\/3, -5.\nAnswer: -5, -3, -3\/5, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, d: 5, n: 1, v: 7, q: 3}. Give prob of picking 1 q and 2 d.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + (-27 - -12) - 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-20)\/24) + -1. Let b(h) = -d + 27067*h**2 + 891*h**2 + h + 8*h. Let k be b(7). Round k to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 19. Let y be d(17). Solve 7*v - 4*v - y = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:33 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 0*k**2 - 4*k**2 + 6*k**2. Let a(v) = 3*v - 12 + 12. What is c(a(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 32\/5, 3?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -142270 * 4\nAnswer: -569080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/30 and -55\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 11) to base 10\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1570768, 21 in ascending order.\nAnswer: -1570768, -4, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*4\/36*0. Suppose w = -3*m + 8*m - 10. Is m <= 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -313, 0.5, -10 in increasing order.\nAnswer: -313, -10, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z + 11448 = 32084. What are the prime factors of z?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(495)\/sqrt(11) - sqrt(40)\/(sqrt(32)\/sqrt(4)))*-1*-4.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = 4*s. Suppose -i + 5*i - 20 = 0. Suppose -3*h = -4*h + i. Sort -3, h, s in descending order.\nAnswer: h, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1185*c**3 - 9*c - 8. Calculate the remainder when s(-1) is divided by 149.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.41413mm in centimeters?\nAnswer: 6.441413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35017, -140026, -315041, -560062, -875089, -1260122?\n\"Answer: -35003*b**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20))\/((-2)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1067241*c**2. Let y(s) = 263*s. Give k(y(p)).\nAnswer: 73819992729*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001572426446 rounded to seven decimal places?\nAnswer: 0.0001572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4909\/2 + 2504. Let p = 23173\/354 + -3400\/59. Find the common denominator of r and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/7 - (-51504)\/3248.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + 2*n**3 - 1)*(55*n + 17*n - 137*n).\nAnswer: -130*n**4 + 65*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12113, 24180, 36243, 48302, 60357, 72408?\n\"Answer: -2*s**2 + 12073*s + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:27 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (5 - 5 - (14 + -3 + -5))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8393073*k**3 - 24*k**2 - 5*k + 35731 wrt k.\nAnswer: -50358438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -445, 5, 13.\nAnswer: -445, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - -5.05. Let s(i) = 2*i + 16. Suppose -6*q + 0*q = 60. Let f be s(q). Which is the closest to 0.1? (a) f (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34\/4445 + -229193\/835660. Calculate the common denominator of b and -79\/282.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {x: 11, s: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 1129305*n**3 - 1129297*n**3 + 90.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4544323.\nAnswer: 7, 73, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 14*s - 4 - 14 + 20*s**2 - 2. Suppose 4*v - 19 + 87 = 0. Let c(n) = 7*n**2 + 5*n - 7. Give v*c(q) + 6*j(q).\nAnswer: q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 2. Let a be d(8). Let i be ((-60)\/(-8))\/(-5) + a\/4. Let h be i\/15 + 76\/(-70). Is h at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1080 and 2466.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127 - -189. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**5 - 684*x**4 - 4143*x**3 + 108414*x**2 - 361812*x + 334152 = 0.\nAnswer: -221, -18, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2 - 5535*c - 424440 = 0.\nAnswer: -72, 1179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 1079010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 4*d - 24, 2*f + 5*d - 133720 = -133711 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 + -0.27. Let j = -15 + 3. Let u be 6\/(-28)*j\/(-9). Which is the nearest to u? (a) l (b) 0.5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 66?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16*255\nAnswer: 4080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3 - 43*c**2 - 38*c**2 - c - 40*c**2 - c**3 + 113*c**2. Let v = -4 + -4. Is 3 a factor of z(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 1:53 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2. Let z(q) = -5*q**2 - 6. Determine z(d(l)).\nAnswer: -45*l**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 11*j + 27. Let k = 154 - 160. Give v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.1, 0.5, -1\/5, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*11\/(-99)*3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 - 3*l**2 + 9*l. Calculate the least common multiple of 36 and c(2).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 5*f + 45 = -z, -z + 2*f = 6. Suppose -3 = 3*k, -12 = -z*t + 2*k + 2*k. Differentiate 7*x**2 + 9*x**t - 8 - 8*x**2 with respect to x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -21. Let x be (-6)\/(-4) + (-3)\/a. Let p(y) = 8*y - 6. Let j(h) = 4 - h - 2*h + 4*h - 5. What is x*p(l) - 6*j(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 5:36 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l - 9*l - 8*l + 7 - 4*l - 5*l.\nAnswer: 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5571)\/(-1238)*(-28)\/9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020232203230 - 10?\nAnswer: -1020232203300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1302 + 1300.9. Which is the third biggest value? (a) j (b) 2 (c) 3\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = -6. Let b be (-1 - 5)*2\/d. Suppose 0 = b*x - 21 + 1. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y - 4*y - 12 + 12. Suppose -2*h + 2*u - 12 = -2*u, -3*h + 5*u - 14 = 0. Let g(n) = -4*n**2 - 3*n**2 + 5*n**h. Calculate g(x(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2317 = 4*m + 2307, -3*m + 4*o - 2 = 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/82, 13, -3\/2, -2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/60 - 3*128\/(-1170)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 2*x - 1 + 4*x**2 + x**3 - 4*x**3. Let u(n) = -4*n**3 + 4 - 2 - 2 + 4 - 7 + 9*n**2 + 5*n. Calculate -5*d(o) + 2*u(o).\nAnswer: 2*o**3 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -661000 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57.29 - 0.071.\nAnswer: -57.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*u = -341*u + 75*u + 19106 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -466, -957, -1450, -1945, -2442, -2941?\nAnswer: -3442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 805.84 and -0.3656?\nAnswer: -294.615104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3772 by 4.\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 638*s**2 - 99*s - 99. Let z(k) = -13*k**2 + 2*k + 2. Calculate -2*p(i) - 99*z(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303 + -30030233?\nAnswer: -30031202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsccosfohvsochvhfcc. What is prob of picking 3 o?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 38*n**2 + 72*n - 127. What is the hundreds digit of j(-33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(700) + -3 + 0 + (sqrt(700) - (sqrt(700) - (2 + sqrt(700) - sqrt(700))))))**2 + -3 + -1.\nAnswer: -720*sqrt(7) + 25232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 21875764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -949554, -949548, -949538, -949524, -949506, -949484?\n\"Answer: 2*s**2 - 949556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12397*n**3*t**3*x**2 + 12*n**3*t**3*x - n**3*t**2 - 26*n**3*x**2 - 114*n**2 - 31*n*x wrt x?\nAnswer: -24794*n**3*t**3 - 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 191448.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -401 - 414 - 143 + 2*d**3 + (4*d**2 - 5*d**2 + 3*d**2)*(-6*d + 2*d + 2*d) to k + p*d**3 + v*d + f*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 26*n - 5778. What is the greatest common factor of 34 and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*b - 2)*(b**2 - 2*b**2 - 2*b**2) + (-1 + 2*b + 1)*(2*b**2 - 2*b**2 - b**2).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 8) to base 11\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 3*l - 2. Let k(m) = -195*m**3 - 15*m**2 - 15*m + 11. Let s(i) = -5*g(i) - k(i). Differentiate s(z) with respect to z.\nAnswer: 585*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let n = k - -6. Suppose 0*i + 2*y = 3*i - 85, -n*y - 10 = 0. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(3 - 5 + 1 - a) + (a - 4*a + 2*a)*(-1 + 2 - 3) + 3*a - 4*a + 2*a.\nAnswer: 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7420 - -17304. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.474846 * 4\nAnswer: 21.899384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 14\/2 - (6 + 88\/(-24)). Let k = 1132\/339 + -2\/339. Solve 4\/3*y + r*y**5 + k*y**2 - 6*y**3 - 10\/3*y**4 + 0 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40986 - (-24 - -5 - 4).\nAnswer: 23, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 965389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2615 = -19*w - 1223. Suppose -758 = -3*v + v. Let d = v + w. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/5 + 812*r**4\/3 + 46742*r**3\/15 + 42536*r**2\/5 - 3192*r = 0 for r.\nAnswer: -665, -6, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1463097334 to the nearest integer?\nAnswer: 38250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a, 0 = 3*n - 2*a + 5*a - 12. Suppose r - w - 20 = n, 145 = 5*r + w + 45. What is the remainder when r is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -132. Let a = x - -124. Calculate the remainder when a is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101000001101100 - 1011?\nAnswer: 100101000001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.965 * -4.804.\nAnswer: -4.63586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 8*q - 5*q - 4001, 5340 = 4*q - 4*x. Let n = q - 818. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/10*354\/472. Let t(f) be the second derivative of -r*f**5 + 0*f**2 + 0 - f**4 - 12*f + 0*f**3. What is the third derivative of t(u) wrt u?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6732 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdqn when four letters picked without replacement from {d: 1, j: 3, i: 2, x: 1, q: 3, n: 1}.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5\/8))**(-4\/33) assuming p is positive.\nAnswer: p**(-13\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2529300 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 604, 1217, 1842, 2485, 3152, 3849, 4582?\nAnswer: 5357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:29 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*i - 1. Let k(b) = 2*b - 4. Let u be k(i). Solve f = u*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5514 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3328*t - 465. Calculate x(0).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -3, 11 in ascending order.\nAnswer: -3, 5, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3829 - -0.0171. Let y = 28 - 30. Which is the second biggest value? (a) -1 (b) 2\/3 (c) y (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -240, -2, 4\/5 in ascending order.\nAnswer: -240, -2, 0.4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Suppose x = -v*x - 3. Is -7\/4 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/89 in 12\/7, 1\/4, 0.5, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 5. Let l be -1 + (-5)\/d*3. Suppose -4*s - 4 = l. What is the closest to 1 in 3, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57.5 - -58. Sort 5, b, 4, -0.2 in descending order.\nAnswer: 5, 4, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w + 9761 - 8951 = 0 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}