diff --git "a/data/dm_maths/full_data_1/10626_11255.jsonl" "b/data/dm_maths/full_data_1/10626_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10626_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange 2*x**2 + 0*x**2 + 0*x**2 + (1 - 3 + 3)*(-41*x - 1667*x**2 - 45*x + 88*x) to t + b*x**2 + f*x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -66*q**2 - 699*q - 20. Determine z(-11).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -360.9556343 to zero dps.\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693037431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -174*c + 173. Let o be t(1). Which is greater: 10\/357 or o?\nAnswer: 10\/357","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1448937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11422?\nAnswer: 2, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1994420.3 to the nearest 100.\nAnswer: 1994400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - 23*a + 23*a - 10*a**2 + 11*a**2 + 16*a**2 + (-3 - 2*a + 3)*(a + 0*a - 3*a) - 3*a**2 + 3*a**2 - 2*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*o - 51*o + 19170. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18425700 (base 9) to base 16\nAnswer: 8db95b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 66. Solve 4*f + b = -u - u, -3 = f + u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5343 (base 6) in base 11?\nAnswer: -a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -387 * -4.\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 855b16 (base 14) in base 16?\nAnswer: 44d368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7524?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 3*t**4\/4 - t**2\/2 + 4. Let l be c(1). Suppose a + 6 = m + 2*a, l*a = 3*m - 3. Solve v = g + m - 2, g = 5*v - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6*160\/(-16). Let o(p) be the second derivative of -7\/20*p**w + p**3 + 0 + 0*p**2 + 0*p**4 - 9*p. What is the second derivative of o(a) wrt a?\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-1 + 4 - 1)*(4*f + 2*f - 21*f).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725220.\nAnswer: 2, 3, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*11389\nAnswer: 1138.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**3\/6 + u**2\/2 + 30*u. What is y(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**3*t + 253*c**3 + c**2*t - 1508*c**2 - 2*c*t - 22*t wrt c?\nAnswer: -42*t + 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**3 + 2*h**3 - 3*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:57 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -26 + 26. Let n(y) = -y**2 - 8*y - 8. Let q be n(-8). Let k be 3*q\/(-12) - d. Solve 0*s - 2 = -k*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24939901577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6822 is divided by 80.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 3775\/345 + -2)\/(26\/13)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 15*j**2 - 15*j - 13. Suppose -70 = 3*h + 2*h. Let t be g(h). Let o be (2 + -14)*t\/(-2). Solve -n + o*n = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -79, -290, -709, -1408, -2459, -3934?\n\"Answer: -12*w**3 + 4*w**2 - 3*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 208?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-24)\/(-22))*3*(-13)\/156?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 336*r**2 - 18240*r + 1571072.\nAnswer: 4*(r - 76)**2*(r + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19120103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 18*c + 15. Let a(b) = -b - 1. Let v(f) = -42*a(f) - 2*u(f). Let h be v(9). Suppose 3*o - h = 2*o. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*1894\nAnswer: 15152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 87. Is i(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 649, 1269, 1885, 2497, 3105, 3709?\nAnswer: 4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17434.3 + -17434. Put 0.42, 0.1, t in descending order.\nAnswer: 0.42, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.8635315 and -11?\nAnswer: -31.4988465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4595 and 650652.\nAnswer: 3253260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-12 + 11 + 12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -119. Calculate the highest common factor of 52 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112 + 118. Let w(v) = 21*v**2 - v + 6. Let i(f) = -22*f**2 + 2*f - 5. Let p(m) = j*i(m) + 5*w(m). Find the second derivative of p(z) wrt z.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 4 + 4\/7*q - 23\/21*q**3 + 67\/28*q**4 + 7\/6*q**6 - 8\/7*q**2 + 17\/5*q**5. Determine o, given that v(o) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28143*b**3 - 9300*b**3 - 9429*b**3 - 9415*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceeaccvwceaeheecwec. Give prob of picking 2 w.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 35123 (base 9) to base 14\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s. Suppose 5*x = 3*h + 4, 3*x + 3*h - 14 = -h. Suppose -x*g - 6256 = -4*d - g, 5*d + g - 7829 = 0. Let b(k) = 1565 - 5*k**2 - d. Determine b(q(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p - 3. Does 6 divide t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 4*m - 2*z - 48 = 2*z, -6*m + 2*z = -14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*k + 8 = -0*b, 4*k = -4*b + 4. Suppose 2*x - 9*a + 11*a - 14 = 0, 9 = 3*a. Find the first derivative of -5*v + 7 + b + x - 1 wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*a - 72 = -94*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (3 + 4 + -3). Solve a - m + 3 = c, 0 = 4*a - 2*m + 4 + 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 4\/3*d**3 + 9\/8*d**4 + 0*d + 2*d**2 + 0. Differentiate f(q) wrt q.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m - 163*m + 0 + 4 + 1. Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t*u**2 + 640*t*u + 73*u**2 wrt u.\nAnswer: -6*t + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-30))\/((24\/(-20))\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 3*t**2 + t - 1. Suppose -36 = 2*u - 30. Give k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*g - 5 + 2 + 2*g.\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((3654\/56)\/29)\/(9\/(-3)). Sort 0.07, 0.8, z, -0.5 in descending order.\nAnswer: 0.8, 0.07, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**7\/420 + s**5\/24 - s**3 - 5. Let u(m) be the third derivative of p(m). What is the second derivative of u(i) wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = 10 + 10. Which is the smallest value? (a) -8 (b) g (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4\/3, 87, 3\/8, -4 in descending order.\nAnswer: 87, 4\/3, 3\/8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -250*a + 239*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -1182739\nAnswer: 10644651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 2*c - 2, -5*w - 3 = -c. Let i be 19 - w - (0 + 0). Suppose 2*t + 3*t = i. Sort 3, -3, t in increasing order.\nAnswer: -3, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -y + 1. Let h(j) = 3*j - 23. Calculate the smallest common multiple of h(y) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42828 + -3?\nAnswer: 42825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -15*x**3 - 143*x**2\/2 - 239*x. Differentiate q(f) with respect to f.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 58, 128, 226?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 4*x - 5. Let u be j(-6). Suppose -u - 501 = -4*p. Calculate the highest common divisor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 349, 333, 297, 235, 141, 9, -167?\n\"Answer: -y**3 - 4*y**2 + 3*y + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -257 + 258. Which is the closest to p? (a) -3 (b) -2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145123244 (base 7) to base 12\nAnswer: -32a4082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.798 and -0.9.\nAnswer: -2.5182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 147507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 25. Suppose 5 - 13 = -s*u. Solve u*i + 17 = 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-218)\/(-8)*(9 - (6 - 5)). Is 216 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(81\/348) - 3\/9. What is q rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191 divided by -95\nAnswer: -191\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -445 + 422 + 1 + -5 + (-4 - (3 + -9))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*q + 56*q + 4*h + 340, 0 = 16*q + 5*h - 3*h - 606 - 24 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 3*j - 3*g = -6, 2*g + 1 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2. Let m(s) = -s**2 + 0*s**2 - 2*s**2. Calculate v(m(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717*k**3 - 274*k**3 + 585*k**3.\nAnswer: 1028*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-5) - 9\/(-5). Suppose -d*k - 5 = -11. What are the prime factors of 43\/3 + (-1)\/k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 102.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/((-1358)\/112 + 9)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 46\/3 - 6\/(-9). Suppose -2*b - o = -2. What are the prime factors of (-37)\/b + (-6)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122\/5 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-3)\/(-9) - 0. Suppose 4*i = -8, 3*l + k*i + 2*i - 17 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 345d - -9275?\nAnswer: c6d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4144513 years?\nAnswer: 0.0004144513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138911557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -80, -111, -96, -35, 72?\n\"Answer: 23*w**2 - 100*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9872 = -3*j, -3*c + 4*j + 3031 = -2890. List the prime factors of c.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r - 105. What is v(-27)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 334, 921, 1900, 3361, 5394?\nAnswer: 8089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4106352863 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/11 - 1242*s**2\/11 - 21798*s\/11 - 54270\/11 = 0. Calculate s.\nAnswer: -603, -15, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -12304?\nAnswer: 12312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 8 = 2*c. Suppose c*x - 3*x + 1 = 0. Is (1 - x)\/(2\/35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91206324 divided by -978\nAnswer: 93258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 9 - 7 = 0. Suppose 32 = 4*k - r*k. What is the remainder when (-87)\/9*3\/(-1) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11589108, 11589107, 11589106, 11589105, 11589104, 11589103?\n\"Answer: -d + 11589109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8316229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/5, -5, 19 in increasing order.\nAnswer: -5, -7\/5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 696 - 707. Let n = 59 + -60. Which is the nearest to -0.1? (a) r (b) 1\/10 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:16 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 560\/(-320) - (2*-2 + 2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5)*72*5. Let c = d + -140. Suppose -g + 0*g - 2 = 0. Sort c, -5, g in increasing order.\nAnswer: -5, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 315 + -329. Let f = 308 - w. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2163\nAnswer: 4326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (770\/56 - 14)\/(2\/152).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 3 - 12 - 3.\nAnswer: -2*r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 270\/((-93960)\/(-3306))*1*4\/(-2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9821114 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o - 5*o)*(-4*o + 3*o + 2*o) - o**2 + 4*o**2 - 4*o**2 + o**2 + 3 - 3 + (-2 - o + 2)*(-1 + 2*o + 1).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -255*m**4 - m**3 + 108*m**2 - 3*m wrt m.\nAnswer: -6120*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i - 24. Let s = i - 5. Suppose 1 + 11 = s*w. Solve 0*b + w = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -25*s**7\/42 + 38*s**4\/3 - 2*s**2 - 35. Find the second derivative of z(k) wrt k.\nAnswer: -1500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0 + 2*k**2 - k**2 + 5*k**2 - 4 + 10*k - k**3. Let g be w(7). Solve 5*j - g = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017299259 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 756 and 443358.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.083, -0.6, 2, 3, 4 in decreasing order.\nAnswer: 4, 3, 2, -0.083, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2973 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1019, 1002, 967, 908, 819, 694, 527, 312?\n\"Answer: -z**3 - 3*z**2 - z + 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**3 + 2919*p**2 + 36609*p + 8970.\nAnswer: 3*(p + 13)*(p + 230)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 9*y**2 - 11*y + 1. Calculate the least common multiple of 116 and o(7).\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2490 and 832.\nAnswer: 1035840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*q**3 - 1\/5*q**4 + 4\/5*q - 6\/5*q**2 - 1\/5 = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**2\/5 - 828*h\/5 + 23528\/5 = 0.\nAnswer: 34, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -279*r - 255 wrt r.\nAnswer: -279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 853 - -547. What is the highest common divisor of 42 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-15)*s**(-19) assuming s is positive.\nAnswer: s**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 8) to base 12.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 67*v - 900. What is o(13)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20100253 (base 6) to base 7.\nAnswer: -4553154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujueujueuueeuueeuuu. What is prob of picking 2 u?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*f - 288, 4*d - 3*f = 345 + 37. Let s = 286\/3 - d. Let j be (-51)\/(-34) + (-6)\/(-4). Which is the nearest to -0.1? (a) -2 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010010101110110 (base 2) to base 12\nAnswer: -2061a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142.97 - -144. Let w = y + -0.03. Which is the third smallest value? (a) 0.2 (b) w (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4318090*o - 11 - 5 + 2.\nAnswer: -4318090*o - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -730 - -726.29. Let p = -3.4 - n. Round p to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + 0*u - 3*u)*(-u - 13*u + 0*u)*(2 - 2 - u) to w*u**2 + h*u + i + k*u**3 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 15. Suppose -4*r - 3*z = -8*z - 3561, r + n*z = 887. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4723323912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82264441 to the nearest integer?\nAnswer: 9070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 653593355 a multiple of 5072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q - 25 + 7 + 0*q. Let z(o) = -5*o + 27. Suppose -n - n - 5*h = 10, 4*n + 20 = 5*h. Let r(k) = n*z(k) - 8*j(k). Calculate r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/3, -41 in ascending order.\nAnswer: -41, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 4062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9699 divided by 3.\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 + 5*z**2 - 133*z - 271. Give a(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3943442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10648, -10624, -10600, -10576?\n\"Answer: 24*m - 10672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z - 8. Let h = 41 + -43. Let y be f(h). Suppose -4*a + 11 + 17 = y*m, 3*a + m = 21. Is a less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -13\/82140 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149168 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 6*z. Which is the closest to 0.1? (a) -1 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -22. Suppose -3*u = -3*r + s, -5*r = -3*r + u - 6. Suppose -63 = -r*c + 4*m - m, -4*m + 8 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119490548 and 3882?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/6947040 and 1\/10240.\nAnswer: 444610560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 119*p**2 + 31 - 73*p**2 + 31*p + 0. Is 15 a factor of m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209678 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: Suppose 0 = 40*m - 37*m - 636. What is the first derivative of 93 + 187*l + 211 + 46*l - 384 + m wrt l?\nAnswer: 233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*p - 32 = 0, -2*k - 5*p = -2*p - 22. Calculate the lowest common multiple of k and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 2*n + 3*n + 19*n**3 + 5*n**3 - 3*n**2. Let h be s(2). What is the lowest common multiple of 18 and h\/10 + (-2)\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/93233 and 32\/665?\nAnswer: 466165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.013 + -25.987. Let a = 229.073 + -203.09. Let d = a + p. What is d rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425204\/53404 + 9\/237.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3434 - 120?\nAnswer: 3314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15032, 60133, 135302, 240539?\n\"Answer: 15034*u**2 - u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -5*w**3\/3 + w**2 + 22*w + 18. What is the derivative of j(q) wrt q?\nAnswer: -10*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 661662363 to the nearest integer?\nAnswer: 25723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6*(-2)\/(-4)*(-112)\/6 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -334 in 0.3, 1, -28, 1.12, -2, 2?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/384*8)\/(((-3)\/24)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276 and 72?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 3*f - 6. Does 4 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 11.\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q**2 + 10*q + 9. Let l(u) = -8*u**2 - 9*u - 8. Let p = 230 + -223. Calculate p*l(d) + 6*b(d).\nAnswer: -2*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12323 (base 4) to base 11\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21)\/6)\/(-7) + (-51183)\/6. What is b rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6997738 and 12723160?\nAnswer: 139954760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(3\/4)\/o*o)\/o)\/(o**(-2)*o))\/(o*o**(-1\/2)*o**(3\/2)) assuming o is positive.\nAnswer: o**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) - (sqrt(400) + -3*sqrt(400)) - sqrt(16))\/(4*(sqrt(128) - sqrt(8))))**2 + 1*3*(-3 + (sqrt(128)*-2 - sqrt(128))**2).\nAnswer: 62095\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - -20535 - (-9 - (5 + -10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -904*b + 1026*b + 3 - 2 to s + v*b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 19*q**2 - q. Let c be (28\/8 - 3)*9\/(63\/(-28)). What is g(c)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2016*a**3 - 1689*a**3 + 2994*a**3.\nAnswer: -711*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95737 is divided by 4862.\nAnswer: 3359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171 and 19?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5094.5 rounded to the nearest 10?\nAnswer: 5090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*1*sqrt(162) + -3)**2 - (-5 + -1 + sqrt(162) + -2*sqrt(162) + -2 + sqrt(162))**2)*4.\nAnswer: -46216 + 2592*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13936 and 25461904?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11061 + 88483\/8. Put 5, k, 33, -4, -0.3 in decreasing order.\nAnswer: 33, 5, -0.3, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148688?\nAnswer: 2, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/13, -0.4, -3, 0.5, -1677\/4, -56?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 497064306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34335872*n**2 + 1738*n - 34335871*n**2 - 1738*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 7*n - 40. Let w be -1 + 14\/n + 0. Is -2\/7 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -48, -63, -76, -87?\n\"Answer: a**2 - 18*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 12508*f - 1.\nAnswer: 12508*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g + 5*z = -20, -3*g + 3*z = 0. Let h(v) = -4*v**2 + v - 2. Determine h(g).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125881999 and 5912?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 - 14122044?\nAnswer: -14121420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 8:00 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2693 - 2712 = -c, c - 83 = -5*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3163? (a) 7 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -20*f - 254. Let i(u) = -2*u**2. Calculate i(n(v)).\nAnswer: -800*v**2 - 20320*v - 129032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 = 5*s - 994. Suppose -5*d - 56 + s = 0. Suppose 96 = 5*q + 3*g, -6*q + 3*q + d = -3*g. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 37. Suppose m*z = -8 + 38. What is the third derivative of 7*l**5 + 8*l**z + 33*l**2 - 2*l**5 + 3*l**5 wrt l?\nAnswer: 960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8414 divided by 7?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3577 + 3580. Which is greater: 6.6 or u?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19136, -74925, -167378, -296501, -462300?\nAnswer: -664781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + 2*k - 4*k. Suppose 14 + 11 = 5*n. Let o(r) = -5*r - n + 1 + 4. Calculate c(o(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -944*c**3*h + c**2*h - 54*c**2 - 2*h wrt c?\nAnswer: -5664*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + m**3 - m**3)*(m - 2*m + 0*m) - 4*m**5 + 2*m**5 + m**5 - 474*m**5 + 650*m**5 + 223*m**5.\nAnswer: 397*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*g = -2647, 0*o + 3*g + 1765 = -2*o. Let m = o - -7916\/9. Let x = 61\/36 + m. Is 0 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 105818 = -105971. Solve -5*g - n*i - 3 = -18*i, 5*i = -g - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 5 = -3*s + p, 0 = 2*s - 2*p - 6. Suppose -4*c = -s*r - 14, c = -4*r - 4*c + 2. Is (-13)\/(1\/r*4\/58) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1518147705 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 5*x - 8. Calculate c(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11053296 by 15612.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 6*a = -30, 0 = 271*x - 269*x + a - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12592866 divided by 13?\nAnswer: -968682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 560*x**2 - 20*x - 3. List the prime factors of c(-3).\nAnswer: 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + q = -34. Suppose -k = -2*x + 14, 5*x - q*k = 26 + 7. Solve r + x = -2*v, r + 3*v = 6*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24858 + -4?\nAnswer: 24854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -14*d**4\/9 + 2154*d**3 - 4612*d**2\/3 - 5536*d\/9 = 0.\nAnswer: -2\/7, 0, 1, 1384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 5*b**3 - 3*b**2\/2 + 5*b - 1121. Let z(u) = -22*u**2 + 4*u - 7. What is 7*j(t) + 5*z(t)?\nAnswer: -5*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kommomkkkmkmkmk. Give prob of picking 2 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*i - 2 = 0, 3*x + 5 + 2 = 2*i. Suppose -k + 2*n = 3*n - 427, -3*k - 2*n + 1276 = 0. Let c = 421 - k. Sort x, 5, 7, c in decreasing order.\nAnswer: 7, 5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.33 and -80349.\nAnswer: -80346.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 11. Let s be p(8). Let v(c) = -c**2 + 11 + c + c - s*c. What is v(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 747978?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3070 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 571 = -b, w = 4*b + 133 - 3. List the prime factors of w.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 23*h**2 - 26*h - 101. List the prime factors of t(-17).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 201988.84575 and -0.1.\nAnswer: 201988.74575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 325 = -0*p. Is 6\/(-39) - 8655\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c + 3. Let p(f) = -2*f - 1. Suppose 2*m + 0*m = 10. Suppose -4*q = 2*x - 8, 2 = -m*x + 4*q + 8. Determine x*a(s) + 5*p(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30, -4, -1\/2, 1\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 3. Let f be p(3). Suppose 5*m = 3*m + 32. Solve k + 4 = 4*c, 5*c - 4*k + f = m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 + 14*n - 11. Let u(f) = 15*f**2 + f - 3. Let g(b) = 8*b**2 + b - 2. Let s(p) = -11*g(p) + 6*u(p). Calculate -3*l(w) - 8*s(w).\nAnswer: -w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 29*d**2 + 559*d + 1956. Determine z(-7).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.55 - -0.5. Let c = i + 0. Let g = 0.0469 + c. Round g to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -18. Suppose 2*a - k = -2*a + 33, -5 = -a - 3*k. Calculate the greatest common divisor of a and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p**2 + 121*p + 2381. Let a(r) = 82*r**2 - 603*r - 11906. Let g(n) = -2*a(n) - 11*k(n). What is the derivative of g(o) wrt o?\nAnswer: 2*o - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 + 104332?\nAnswer: 104424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*k**3 + 0*k + 0*k + (3*k**2 + 2 - 2)*(-156 + 43*k + 156).\nAnswer: 171*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 33*i**2 - 34*i + 4. Let u be -34*((-1)\/(-2))\/(6\/12). Let r be s(u). Solve 4*w + 32 = -r*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/19092 and 49\/544788.\nAnswer: 23425884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 - 6*z**2 + 5*z**2. Let t(y) = -12*y - 4. Let w(i) = 24*i + 9. Let g(u) = 9*t(u) + 4*w(u). Calculate l(g(b)).\nAnswer: 288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from {k: 7, g: 2, i: 1, e: 1, q: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 7*y + 1. Let g be k(5). Let f = -9 - g. Let d = f + 20. What is the smallest common multiple of 14 and d?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 3*m + 1. Suppose -6 = -r - 3. Let f(s) = -s**3 + 2*s - 2. Let h(c) = r*f(c) + 2*b(c). Find the first derivative of h(k) wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44293.\nAnswer: 44293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222900 is divided by 3348?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354*j*u**3 + j*u + 83*j - u**4 wrt u.\nAnswer: 2124*j*u - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8113 is divided by 252.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - p + p + (p + 0*p + 2*p)*(-2 - 4 + 4).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 51900*b + 311472.\nAnswer: -2*(b - 25956)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1212)\/(-11) - (-2)\/(-11) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19 - 0)\/1 - -5. Solve -10*y + 4*y + i = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 498120*o**2 - 525054.\nAnswer: 996240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2340*c + 217. Let u(h) = -h**2 + 11*h - 23. Let b be u(9). Is g(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {s: 4, k: 2, i: 8, l: 2, v: 4}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79650\/(-3717))\/(14\/(-49)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(6\/4) + -7. Let m(v) = v - 1. Let i(k) be the first derivative of -k**2 - 5*k + 17787. Give t*m(o) + i(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 6) + -3 + 7413 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 0.5, 0.94, 5, 9, 7.84, -1?\nAnswer: 7.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5052 divided by -3?\nAnswer: -1684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 28*v**2 - 29*v - 11. Let o be (3 - 1)\/(-6) - 1672\/(-57). Give t(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 2*x**2 - 2. Let q be u(-3). Suppose -q - 65 = -3*t. Let y = t + -5. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -5. Let u be (42\/(-98))\/(1\/2 + 1). Which is the second smallest value? (a) w (b) -1 (c) u (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 6:16 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -0.7, 40.9 in decreasing order.\nAnswer: 84, 40.9, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 9500 = h + 4*d, -3*h - 28527 = 3*d. Let l = h - -26573. Let i = -36861 + l. Round i to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -216.89 + 217.09. Which is the nearest to u? (a) 0.5 (b) 0.2 (c) 1\/4 (d) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 6*i - 17. Let v be h(-8). Put v, -3, -10 in descending order.\nAnswer: v, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272535 and 6585.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:25 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 123*r**2\/4 + 149*r - 177.\nAnswer: (r - 118)*(r - 3)*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - v**3 - 4*v + (v**2 - 2 + 2)*(-2 + 2 - 2*v) + v**3 + 1 - 1)*(5*v + v + v).\nAnswer: -14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22461 = -3*r + 5871. Let m = 226619\/24 - r. What is the common denominator of m and (-1 + (-83)\/(-12))*52\/(-78)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331951971 to the nearest integer?\nAnswer: 18220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (-38 + 17 - -15) - (-7 + -5)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 49 = -2*q. Suppose y = 4*p - q, 3*y = 4*p + p - 63. What are the prime factors of (6*1)\/(-3) + p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104878800 rounded to the nearest 100000?\nAnswer: -104900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.2 and -77?\nAnswer: 75.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.331111 + -38.\nAnswer: -37.668889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(132)*-5*-4)\/((sqrt(96) + -6*(sqrt(96) - (sqrt(96)*1 - sqrt(96)) - sqrt(96)))\/((sqrt(80)*-1)\/sqrt(10))).\nAnswer: -200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8795648 is divided by 294?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 4*s + 25*s to t*s + w and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/r)**(-1\/2)\/(r\/(r*r**(3\/5))*r*r)**(-28\/3) assuming r is positive.\nAnswer: r**(151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/393? (a) -1 (b) -267811 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c + 23544 + 18433. List the prime factors of c.\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t - 3*c + 3 = 0, -2*t = 5*c - 5. Suppose t = 2*z + 269226 - 15226. Round z to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = 2*n, -2*q + 19 = -0*n - n. Suppose 18 = x - q. Suppose -5*m = -4*c + 2*c + 23, 3*m - 4*c = -x. Which is bigger: m or -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*s - 37*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 8. Suppose -14 + u = 5*t. Let z = -0.2 + 0.2. Which is the third smallest value? (a) 1\/3 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 4*z + 3. Let c be f(2). Suppose c*a - 2*s - 82 = 0, 3*s = -4*a - 53 + 185. What is the least common multiple of 18 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 3.1. Let s = 0.4 - 0.2. What is the biggest value in i, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-10))\/((-2)\/80). Let h(z) = -z**2 + 18*z + 5. What is the remainder when h(a) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.001\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 74*r\/5 + 48.\nAnswer: -2*(r - 40)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14*9\/42*-92. Suppose -6*z + 12*z - c = 0. Suppose -48 = -0*a - 4*a. Calculate the remainder when z is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*j, 8 = -3*b + 3*j - 1. Suppose 5 = v - b. Is v at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4, -2*b - 38 = -f - 0*b. Let w(h) = -3 + f*h + 3. Is w(1) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2059)\/(-1131) + 12\/(-78). Factor 0*v + 0 - l*v**2.\nAnswer: -5*v**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/36 and 46\/711.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/98)\/((-2)\/5*135\/(-63)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 11)*(1 - 2 - 3) - 1 - 3 + 2)*(-2*r - r - r).\nAnswer: 152*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 94 = 10. Let f be 570\/9 - (-1)\/(-3). Let s = f + j. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 15 + 37)*(-g + 4 - 4).\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/15 + 4\/((-60)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1920*p - 964*p - 148170 = -190*p for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19608, 156684, 528736, 1253250, 2447712, 4229608?\n\"Answer: 19581*r**3 + 2*r**2 + 3*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.056828, 3\/7, -1, 30 in descending order.\nAnswer: 30, 3\/7, 0.056828, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, w: 2, i: 1, o: 3, t: 4}. What is prob of sequence wg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 7)*(-3 + 6 - 1)*((0 - 1 + 2)*(3*f - f + 0*f) - f + 0 + 0 + 0*f - 2*f + 0*f)*(2*f + 7*f + 0*f).\nAnswer: 126*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/sqrt(3)*-5)\/sqrt(3) - (sqrt(143)\/sqrt(176) + -2*sqrt(1872)))**2*-2.\nAnswer: -73125\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144493752 divided by -312.\nAnswer: -463121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6403274 is divided by 13509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/70)\/((-12)\/(-30)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) -1 (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 4. Suppose j - 6*j + 15 = 0. Suppose 0 = 2*y + 2*i - 16, -4*y + i + 24 = j*i. Suppose y*u + 12 = 7*u. Calculate a(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -4*s + 2*s. Let n be (-7 - -8)*2\/((-6)\/s). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x + 592. Let a = -269 - x. Is 15 a factor of 3\/(-12) + a\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*i + 20*i + 8*i**2 - i**2 + i**3 in the form r*i**3 + l + f*i**2 + d*i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19923, -158634, -535111, -1268238, -2476899, -4279978?\nAnswer: -6796359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1354157?\nAnswer: 4\/1354157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*x + (0*x + 0*x + x)*(-2 + 6 - 2) + 2 - x - 2 - 2*x + 4 - 4 + (4 - 3 + 1)*(-4*x + x + 5*x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 + 2*z**3 - 4*z**2 - 8*z**2 + 10*z**3.\nAnswer: 12*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110100100000001011 - -1111111?\nAnswer: 101110100100010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8844048209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -3*g + 396. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75500 and 85.\nAnswer: 1283500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39385*o + 39306*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 7, -1, -11, -23, -37, -53?\n\"Answer: -g**2 - 3*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119829077881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1688426816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/39)\/(r**3*r)*r*r**(-2)*r*r**(-1\/9))**(-50))**8 assuming r is positive.\nAnswer: r**(194800\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35784970*p**5 - 6174260*p + 5?\nAnswer: -715699400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 25555 and -813 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(sqrt(2448) + sqrt(2448)*5 + 0)**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 518?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1525\/35 - 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33, 87, 163, 267, 405?\n\"Answer: v**3 + 5*v**2 + 32*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u - 10. Let d be l(5). Suppose 3*j = j - 24. Let r be (-10)\/j*(-3)\/d. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(950)*2)\/sqrt(2).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 972, 5, 4.\nAnswer: 4, 5, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 2, f: 1, q: 1}. Give prob of picking 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/15*(-220)\/(-22)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, -0.26, 0.2, -5328 in ascending order.\nAnswer: -5328, -106, -0.26, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 209?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7527364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1089885 (b) -2\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 8*t**2 + 10*t - 6. Let c be o(9). Suppose 48 = c*p - 0. Suppose 0*s - s + p = 0. Calculate the highest common divisor of 40 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 42174141*g\/2 - 1778658169087881\/4.\nAnswer: -(g - 42174141)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 4\/9, -0.3, -1\/5, 1\/2, 3\/4, -0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j**5 - 936*j**4 - 17673*j**3\/4 - 22425*j**2\/4 - 1518*j - 117 = 0. Calculate j.\nAnswer: -2, -1\/6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 2, 4, -91, 0.05, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.83 - 0.17. What is the second biggest value in x, 0.01, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 16 = 4. Suppose -f - 78 = -a*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3419925 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4953769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 145? (a) 6 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/45*(-2 - 1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -31, 268, 0, 3, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 10147387.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 + 12\/54. Is p equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28710382 divided by -3706.\nAnswer: -7747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 76. Solve -c + z = 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -543430 - -3804012\/7. Determine y, given that 0 + 72\/7*y - 22\/7*y**3 - 48\/7*y**2 - n*y**4 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1240, 2424, 3592, 4738, 5856, 6940?\nAnswer: 7984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 843\nAnswer: 337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -16 + (7 - (14 - 10))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/24 + -7\/6. Let k be 3 - (1 - 32\/(-14)). Sort 1\/6, k, l in decreasing order.\nAnswer: 1\/6, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c + 1. Suppose 0*i + c*o = -i + 95, 2*o = 5*i - 560. What are the prime factors of i?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 11 - 5*o**3 - 23*o**2 - 121 + 93*o**2 - 15*o. Let a(b) = 2*b**3 - 23*b**2 + 5*b + 36. Let k(d) = -10*a(d) - 3*w(d). Find q such that k(q) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 + -11 + (0 - -1) - -117. Calculate the greatest common factor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 12. Let x(u) = 7*u + 7. Let b be x(y). Calculate the greatest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 118*c**2 - 193*c - 67295. Give m(-121).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02661*-34551.\nAnswer: -919.40211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 10*g**2 + 16*g + 16. Let k be b(12). Let x = k - -155. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 105 = -13*w. What is the greatest common factor of 60 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f**2 + 9*f**2 - 8*f**2.\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35332 divided by -22.\nAnswer: -1606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31 - b2a?\nAnswer: -b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 0*l**2 - 3*l**2 - 8 + l**2 - 11*l. Let z be d(-4). What is i in 0 + i - 3\/2*i**z + 4*i**3 - 7\/2*i**2 = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 9*b**2 + 9*b - 9. Let h be j(-10). Let d(i) = 548*i - 7. Is d(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmpmcypmppmppppyptmt. Give prob of sequence tm.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from sggsggwssssw.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.6968 years in centuries?\nAnswer: 3.756968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -90*c**3 + 27*c. Let p(w) = -13*w**3 + 4*w. What is -27*p(h) + 4*r(h)?\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/379 or 250447?\nAnswer: 250447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*a + 4*a - 24, 5*d - 15 = -a. Let z be -2 - (-12 + 2)\/d. Solve -3*l = 15, 3*t - 40 = 2*l + z*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from veieeveiveeeviivfie?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*g - 30*g + 14*g)*(-30 - 28 + 9).\nAnswer: -5733*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzovjjzkvzvvzh. Give prob of sequence jjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/11 or -1?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173746 + 998 = 27*f. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 + -2 + -2 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*m + 133*m = 47520. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 21*c + 24*c = -10, 0 = 3*j - 5*c - 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -484 divided by 1054.\nAnswer: -242\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2.3642+-203\nAnswer: -200.6358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 2*c - 1. Let i(z) = 7*z**2 + 45*z + 2. What is i(b) + 2*o(b)?\nAnswer: 5*b**2 + 49*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3514*j + 15374. Let i(m) = 7021*m - 30757. Let z(r) = -6*i(r) - 13*y(r). What is the first derivative of z(g) wrt g?\nAnswer: 3556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 + 4*n**2 - 4*n + 17. Calculate v(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*s**4 - 3*i*s**3 + 3*i - s**2 + 51*s wrt s?\nAnswer: 24*i*s**2 - 18*i*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 16 = -q. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.399 + 0.101. Let w = f + -23. Which is the nearest to 2? (a) 1 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -6*c**2 - 43*c = 0?\nAnswer: -43\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-9)\/(-4)). Let y = 0.9 - -0.1. Which is the nearest to 0? (a) r (b) -1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9213\/332)\/((4 - 3) + (-403)\/(-2)) and 44\/189.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 33*w - 186. Give h(-36).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -708*(0 - -1)*(-3 - -2). Suppose 165 = -3*i + m. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.1 (b) 0 (c) 4\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*k - w = -61*k, 3*w = -k. What is the second smallest value in -3\/2, -0.11, 5, k?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13537226 and 30112.\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11831 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let r(g) = g + 11. Let f be r(-8). Suppose 0 = v - 7 + f. Determine k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3 + 567724*a**2 - 3406200*a = 0. What is a?\nAnswer: 0, 6, 141925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111458298 to the power of 1\/3, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14775821 is divided by 738791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.09 + 1.39. Which is the closest to 1\/6? (a) 5 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 530*s*t*v + 60*s*t + 2*s + t*v + 3*t with respect to v.\nAnswer: 530*s*t + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(44\/24*3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23579277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 - -215.06. Let p = -139 + 136.94. Let k = p + f. Is k equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f**2 - 19*f**2 + 39*f - 39*f - 349 to o*f**2 + a + x*f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 309\/(-4066) - (-6)\/114. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1443431120 (base 5) to base 9\nAnswer: -7277385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e (base 15) in base 13?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/20*(-50)\/(-75).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -15, -8, -1\/6282, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-8)*30\/20 + 7*(-230)\/(-35)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -840b1?\nAnswer: 840b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 7. Let w be d(0). Let o(v) = 7*v - 4. Let b(c) be the first derivative of 7*c**2 - 7*c - 15308. Determine w*o(t) + 4*b(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4953 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 4, 0.1, 63, 1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 965*j - 2*j**3 - j**2 + 966*j + 3*j**4 - 3 as y*j**4 + t + w*j + x*j**3 + a*j**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = n. Solve -n = 4*k - 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 7\/5, -339, -5, 1, 225?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 6*p + 5. Let r be b(1). Let v be (r - 16\/14) + 29\/7. Suppose -3*y + v = y. Which is bigger: 22\/15 or y?\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = l - 4*l. Let p = 37 + l. Let j = 12 - -23. Solve -k + 4*i - 13 = p*i, 4*i - j = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - 16. Let a = 63 + h. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 j when four letters picked without replacement from jsjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 10:33 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 38006674217?\nAnswer: -38006674220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -2856?\nAnswer: 2859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 44. Let q be i(-21). Suppose -g + q*u - 10 - 1 = 0, 5*u - 27 = 2*g. What is the nearest to g in 4, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*j**2 - 75 + 4*j**2 - 20*j**2 - j**3 + 75 to the form h*j**2 + a*j + u + p*j**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 23 - 85 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from cjcmmmmcmmucucmim.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 22*b - 73 = -25*b, w + 9*b - b - 413 = -0*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21433 is divided by 151.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssiiissfiss. Give prob of sequence fiis.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 68*g. Let r(y) = -5488*y**2 + 2*y - 2*y + 5494*y**2. Calculate q(r(k)).\nAnswer: 408*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8502642*-0.4\nAnswer: -3401056.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140 - -137. Let j = -7 + 7. Put d, j, 1 in decreasing order.\nAnswer: 1, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 7*t + 2*t)*(-2 - 1 + 4) + 4*t - 2 + 2 - t + 3*t + 2*t - 4*t - 1 + 1 + (1 - 2 + 3)*(3*t + 0*t - t) + 1 - 2*t - 1.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + 3*sqrt(320) + 0 + (2*sqrt(320) + sqrt(320))**2 + -1)*-4.\nAnswer: -11540 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.039 and -47470.19?\nAnswer: -1851.33741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55567 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: Which is the nearest to -0.1? (a) -15 (b) -186 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154 + -10120?\nAnswer: -5522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5505*k + 1676?\nAnswer: -5505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 3 (c) 1071 (d) 2\/11 (e) 0.5 (f) -104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 5939 - 5*f**2 - 5860 - 167*f**3 + 11799.\nAnswer: -167*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-16)*(-10366)\/213. Suppose -3*u = -2*f - 157, 0*f + 4*f = 3*u - 161. Suppose -5*g + u = -8*g. Which is smaller: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 - 2*o**2 - o + 2. Let u(x) = x**2 + 6*x + 2. Let n be u(-7). Let v = 6 - n. Let b(q) = 5*q**3 - 3*q**2 - q + 3. Calculate v*l(r) + 2*b(r).\nAnswer: -2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1094 - -517?\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 8:55 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130\/3 - -45. Let k = 1245\/2 + -54793\/88. Let m = k - -2345\/88. Find the common denominator of m and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 6. Suppose -4*i + 0*i = -8, -2*i - 2 = 2*g. Sort c, g, -2 in decreasing order.\nAnswer: c, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5243 and -3.\nAnswer: 15729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 202214901 from 5.\nAnswer: -202214896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*2\/6 - -10. Let x be (-2)\/(-6)*(m - -2). What is the tens digit of 104\/32*(x - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*122\/7869*43*1\/(8\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/1748 (b) -2\/699 (c) 0.4 (d) 109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0 + 0*a**2 + 50*a - 15\/2*a**3 - 10\/3*a**4. Find the second derivative of y(d) wrt d.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 751*h**8\/56 + h**7\/42 + 149*h**4\/6 - 36*h - 9. What is the third derivative of o(w) wrt w?\nAnswer: 90120*w**3 + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t = -15, 0 = 3*y - t + 124. Let k = y - -46. Let 4 - 3*g**4 + 4*g**k - 7*g**2 + 4*g**4 - 10*g**3 + 20*g**2 - 12*g = 0. Calculate g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -15)*(-42)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 3*z**2 - 9*z + 18. Let o(m) = -m**3 - m**2 + 4*m - 9. Determine 5*o(p) + 2*w(p).\nAnswer: -p**3 + p**2 + 2*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 44.7 and 23.4445.\nAnswer: 68.1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48, -116, -212, -336, -488, -668, -876?\n\"Answer: -14*g**2 - 26*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 262*c.\nAnswer: 262*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.9 times 3196?\nAnswer: 2006768.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1298 or 1822?\nAnswer: 1822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331048.\nAnswer: 2, 41381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - (-2)\/4. Let s = -8 - -8. Let j be 10\/(-95)*(s + -1). Do j and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50676496 divided by -38\nAnswer: -1333592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**4 + w**3 - w**2 - 3*w + 5. Let r(u) = 4*u**4 + 2*u - 6. Let a(q) = -3*r(q) - 2*x(q). Find the third derivative of a(p) wrt p.\nAnswer: -144*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f**3 - 30*f**2 + 5*f - 8. Suppose -d + 18 = 4*q, 0 = -4*d + 3*q + 8 + 7. What is the least common multiple of h(-4) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5682769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 12:52 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-1))\/(-2))\/((-12643)\/986154).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1573) - (sqrt(1573) + -1 + 1)) + -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 28.666278 months?\nAnswer: 0.023888565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 413401055 (base 6) in base 12?\nAnswer: 249918b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 2 - (84 + -144 - -80)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/60)\/((-15 - -13) + 32\/15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + s + 2 = 2*s, 0 = -4*k + 3*s - 3. Let r(t) = -5 + 10 + 12*t + 8*t - 18*t. Calculate the lowest common multiple of k and r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227366.67 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2.2, -5, 4\/3, 0.2, -53?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*p**5 + 251*p**4 - 5*p**3 - 3452*p - 5.\nAnswer: -2620*p**3 + 3012*p**2 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 + 297*c**2 - 227*c - 163. Calculate o(-75).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.85963 to the nearest integer.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5 + 250*t**4 + 1554*t**3 + 2366*t**2 - 1024*t - 3144 = 0.\nAnswer: -3, -2, 1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.8 <= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 b when four letters picked without replacement from dbdrqydddyoy?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:36 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65040*i + 65039*i - 5 = 2*t, 7*t + 25 = -5*i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -425 (base 14) to base 16.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 9 = 0, -190 + 204 = m - 4*s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 5*t - 4*t)*(626 + 258 - 98).\nAnswer: -786*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = 5*k - 2*d, -3*d = -5*k + 10. Let l be 14\/21*1\/(-2). Which is the nearest to l? (a) k (b) -4\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/396 and -191\/1980.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3223238*f**5*t - f**2*t + 2*f + 634*t + 5202 wrt f?\nAnswer: 193394280*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -689*n**4*v**3 + 5*n**3*v - 5223*v**3 with respect to n.\nAnswer: -2756*n**3*v**3 + 15*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (950\/(-75) - -12)*-39\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9)*(-4 + 1). Let b be -2*s\/(-4)*-5. Suppose -14 = b*w - 34. Solve 0 = -2*j - 2*j - w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3089.66 + 3139. Let c = 0.66 + t. Is 0 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1100 - -2557. List the prime factors of s.\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + -313301?\nAnswer: -313414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 6*u + 0*u + 5*u - 2*u - 4*u + (3*u + u - 2*u)*(-2 + 2 - 2))*(-u - 3*u - 5*u).\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from bxffbfbbbbffbxxxb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.613, -369, -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zddzpdqpppkppkkqdz. What is prob of sequence qkqk?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (21\/735)\/(748\/616)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -179.52 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47492417 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1622636223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -83218, -73006, -55986, -32158, -1522, 35922, 80174?\n\"Answer: 3404*u**2 - 86622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3363 and 559969.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 2\/15*b**7 + 13\/15*b**5 + 1\/2*b**6 + 0*b**3 + 0*b - 17*b**2 + 2\/3*b**4 + 1\/84*b**8 + 0. Factor l(y).\nAnswer: 4*y*(y + 1)**3*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/2 + 34*m**2 + 70*m = 0.\nAnswer: -2, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1) + (9 - (5 + -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73321 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1133332133132?\nAnswer: -1133332133123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 54119*i**2 + 10*i - 54118*i**2 + 5*i + 5 in the form a + q*i + l*i**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 14 - 2 = 0. Suppose -4*j + l + 19 = 0, -l = 4*j + w*l - 1. Factor -18\/5*q**3 - 4\/5*q**5 - 2\/5*q + 0 + 2*q**2 + 14\/5*q**j.\nAnswer: -2*q*(q - 1)**3*(2*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 2:15 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57508?\nAnswer: 2, 11, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 6. Suppose 3*d + o + 80 = 0, -o - 4*o = 4*d + 92. Let k = 27 + d. Which is the third biggest value? (a) 1 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.7 and -228134618289.\nAnswer: -228134618286.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:49 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.05 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 + 10*s + 1. Let z(m) = -1479*m**2 + 4*m + 10. Let c(g) = -9*d(g) + z(g). Find the second derivative of c(v) wrt v.\nAnswer: -2904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.29 * 5\nAnswer: 76.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 394136773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -599 <= -599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, 1, -2.8, -4, 0.4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 2 - 3)*(-3 + 3 + 5*b) + 0*b - 3*b + 4*b to o*b + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 80 = -2*c, 0 = 8*c - 13*c + 25. Let w(q) = 2*q**2 + 7*q. Let n be w(-5). What is the highest common factor of r and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 - 27\/(-5). Suppose 3*o - c*r = -2*r, 2*r + 2 = 3*o. What is the first derivative of o*l + 1 - l + 1 - 3*l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89739401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3749 is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56599 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16208*m + 141693 + 1008701 = -421782 for m.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 0*k + 1\/12*k**3 + 1\/16*k**4 + 0*k**2 - 1. Suppose h(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -29*u**2 + 20457*u + 20457. Determine l(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7832 and 5874?\nAnswer: 23496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -218343282 - 88?\nAnswer: -218343370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 75, 115, 157, 201, 247?\n\"Answer: g**2 + 35*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2 - 8) + 12 + 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhrh. Give prob of sequence hrh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30400176 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -78. What is the biggest value in 7, 4\/3, u?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syx when three letters picked without replacement from ssdxyddsdddddd.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7*i*i)**(-6\/5)*(i**1)**38 assuming i is positive.\nAnswer: i**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**7\/630 + o**6\/720 + o**5\/15 + 6*o**2. Let j(n) be the third derivative of y(n). List the prime factors of j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in -3, 1, 5, 124?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-847)\/(-28) + (-1)\/4. Suppose -4*d + 3*d - 23 = -5*u, 5*d + 4*u - z = 0. Suppose -h + d = -1. Solve 5*l - h*s + 13 = 0, -s = 3*l - 0*l + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-5\/6))*d)**16)**(-41) assuming d is positive.\nAnswer: d**(-328\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0749? (a) 1\/3 (b) -1 (c) 1\/5 (d) -40\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2510, -3482, -5106, -7382, -10310, -13890, -18122?\n\"Answer: -326*z**2 + 6*z - 2190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n - 251. Calculate t(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 42*j**2. Let p(v) = -77277 + 16*v + 154548 - 77271. Determine g(p(a)).\nAnswer: 10752*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7779*i - 7630*i + 1788 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 1\/10*b**5 + 3\/2*b**2 + 0 + 5*b + 1\/3*b**4 + 2\/3*b**3. Let t be d(-2). Round t to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 4, -3, -8, -11, -12, -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7c - 189?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5774.\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.161 + -0.661. Which is the smallest value? (a) 277 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648040 = 175*i - 311*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**2*y))\/(y*y*y**(-2)*y*y)*(y\/(y*((y**(-1\/6)\/y)\/y)\/y))\/y**(7\/4))**(-36) assuming y is positive.\nAnswer: y**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -99*2\/2 - 3. Let z = q + 65. Let l = z - -47. Calculate the least common multiple of l and 132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 688 and 1204.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -14 - 2\/3*c**6 - 4\/5*c**5 + 2*c**4 + 0*c**2 + 0*c + 0*c**3. Find u, given that x(u) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(6\/5)*j**(-10)*j*j**(-4)*j\/(j**(-12)\/j))**(1\/28) assuming j is positive.\nAnswer: j**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + 16963*t**2 - 17016*t**2 - 2*t**3 to the form u*t**2 + g + p*t**3 + s*t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**4\/24 - 11*r**3\/6 + 13*r**2. Let c be w(-13). Suppose 0 = 3*t - c*t - 12. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p*u**5 - 107852470*p*u**4 - 10*p*u - 189*p + 8841*u wrt u?\nAnswer: -40*p*u**3 - 1294229640*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/853 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4\/15 + 206*i**3\/15 - 2646*i**2\/5 + 45198*i\/5 - 288684\/5 = 0?\nAnswer: 22, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3\/5, -0.1, -2 in descending order.\nAnswer: 3\/5, -0.1, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20178?\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122551\/13696 - 873\/107. Calculate the common denominator of (2\/(-14)*142)\/8 and m.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*y - 39*y + y**3 - 549*y**4 + 3*y**2 + 547*y**4 - 62*y to the form c*y**4 + g*y + l + q*y**3 + m*y**2 and give g.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(-15)\/160 - 3\/(-8))*3024\/13041.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170 or -3397?\nAnswer: -3397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 4*a**2 - 9*a + 11 - 4*a - 15. Suppose 22 = -5*q + 2*c, 0 = 2*q - 4*c + c. Let j be b(q). Solve -j*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 5. What is c(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 7094*g. Let l(x) = 50*x + 2. What is c(l(b))?\nAnswer: 2500*b**2 + 354900*b + 14192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190 - 180. Let x be (-551)\/(-532) + 6\/(-8). Which is the smallest value? (a) k (b) 1\/3 (c) -2\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 13 = 2*l + 2, 5*l + 3*d = 0. Suppose -2*t + 100 = 4*g, l*t + g - 138 = -3. What is the remainder when t is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2831, 2811, 2745, 2609, 2379, 2031?\nAnswer: 1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -17*s + 9*s. Let i be ((-12)\/15)\/((-12)\/s). Let u be (-18700002)\/(-10) - i\/(-10). Round u to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 8*w - 2*w. Let y(z) = 2*z**2 + z. Let t(r) = r**2 + r. Let s(l) = -2*t(l) + 2*y(l). What is c(s(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 35672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -40. Let i = -19 - q. Let z = i - 17.9993. What is z rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 19*p + 18. Let z(o) = o**2 + 19*o + 17. Let j(m) = -3*h(m) + 4*z(m). Let i = -47 + 28. What is the remainder when j(i) is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184 (base 14) to base 9.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*g - 5 + 3 + 66*g to the form s + r*g and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 287*o**5 + 4*o**2 - 112 wrt o?\nAnswer: 17220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -13*y. Let b(j) = 585710*j**2 - j - 4. What is b(c(z))?\nAnswer: 98984990*z**2 + 13*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3219 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 21 - 28 - 19 + 98 - 12 - 20.\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725657 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: Collect the terms in 7*d**2 - 11 - 7*d**2 + 2 + d**3.\nAnswer: d**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7142 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 319112549 a multiple of 994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*s + 31*s + 35*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 6*t**2 + 80*t. Let l(j) = 3*j**2 + 40*j. What is 4*b(s) - 7*l(s)?\nAnswer: -4*s**3 + 3*s**2 + 40*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 35*u**3 - 209*u**2 - 48*u + 36. Determine r(6).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120723.198 rounded to the nearest 1000?\nAnswer: -121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f - 596354 = -595652 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 57*y + 57. What is c(58)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*3*3\/(-48). Let k be ((-6)\/(-56))\/(1935\/1032). What is the third smallest value in k, -0.4, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -2*g - 5*m, 4*g = 5*m - 5. Suppose -176 = -4*j - g*j. What is the highest common divisor of 572 and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111032311230 (base 4) to base 6\nAnswer: -315143340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3021 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**0\/w)\/w)\/w)\/w)**(2\/47))**(-32\/3)*(w\/w**(2\/11)*w*w**(4\/7))\/(((w\/w**(-1\/5)*w)\/w)\/w*(w\/w**(1\/6))\/w) assuming w is positive.\nAnswer: w**(452941\/108570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40944\/(-7677)*(5 + (-2 - 0))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/((y*y**12)\/y))\/y)*y*y**(-1\/12)*y*y)\/(y\/(y*y**(-12)\/y)*y*y\/(y*y**(-2\/21))))**(-36\/7) assuming y is positive.\nAnswer: y**(-459\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2475 and 9?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -15986?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 338 + 60. Let r = -1793\/9 + b. Do -1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/53, -75, 4, -1\/157 in descending order.\nAnswer: 4, 2\/53, -1\/157, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 70 + 66 = 0. Sort 5, 6, v in descending order.\nAnswer: 6, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.15 + 8.7?\nAnswer: 304.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37808273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 76186 (base 10) to base 9\nAnswer: 125451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*i - 2*i - i)*(-12 + 12 + 25*i**2) to l + t*i**3 + q*i + y*i**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -462*m**6*o**2 + 91*m**2*o**2 - 2*m*o**2 wrt m?\nAnswer: -55440*m**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -76, -5, 2, 833 in decreasing order.\nAnswer: 833, 2, 1, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5070454 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -131. What is the tens digit of (9\/y)\/((-60)\/(-2920))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3\/2 + 1698*v**2 - 1179630*v + 187646544 = 0.\nAnswer: -4008, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2528475.\nAnswer: 3, 5, 33713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 55274079.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2489173 - 2489173 - 11281*w.\nAnswer: -11281*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 56*v = 5*v + 637 + 208 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Work out 6983 * 11.\nAnswer: 76813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3797 to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-160))\/((-9)\/(-40))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 65 - ((-2)\/(-3) + 8\/6). Calculate the highest common divisor of 42 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28700 - -34004. Is 102 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-104)*24*9\/(486\/12)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 2*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 161 = 155 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/76 or -1642?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*f + 9, 12*f + 10 = 4*s + 17*f. What is the remainder when 57 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 r when three letters picked without replacement from {g: 1, v: 1, r: 3, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2241463\/3 or -747153?\nAnswer: -2241463\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41419 or 41427?\nAnswer: 41419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 14. Determine c(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v + 1. Let j(n) = n**3 + 3*n**2 + 4*n + 1. Let i be j(-1). Let u(r) = r. Give i*b(h) + 2*u(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chwc when four letters picked without replacement from qwhccwc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = -4*c, c - 2*m + 22 = 3*m. Is 0 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 e when three letters picked without replacement from {a: 3, v: 7, j: 3, e: 6}?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ad2f4 (base 16) in base 12?\nAnswer: -135ab58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**0)\/t)\/t**(4\/5))\/(t**5\/(t*t*t**(-1)\/t)))\/((t**(-2\/3))**(1\/20)\/(t**(-2\/7))**46) assuming t is positive.\nAnswer: t**(-3971\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34300245 + -51122245. Round l to the nearest 100000.\nAnswer: -16800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 345*p + 22443. Give q(-54).\nAnswer: 897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 3*r - 49, 4*r = 5*i - 112. Suppose -3*d = -8*d - 5*g + i, d + 3*g = 4. What is the remainder when 4\/16 + 483\/d is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-2 - (-7 - -3)). Solve 15 = v - m*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -91, -4 in ascending order.\nAnswer: -91, -69, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by -12587049\nAnswer: -110\/12587049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((25\/(-5))\/(-25))\/((-2)\/(-8))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028252066 to five decimal places.\nAnswer: -0.02825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3311, 13136, 29525, 52520, 82163, 118496?\n\"Answer: 7*x**3 + 3240*x**2 + 56*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 0.04, -0.3, -3\/4, -2 in descending order.\nAnswer: 2, 0.04, -0.3, -3\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01623 + 0.21623. What is the closest to h in -0.05, 0, -0.2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -2*y**3\/3 + 16*y**2 + 72*y + 2784. What is r in m(r) = 0?\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 34 + 76. Calculate the greatest common factor of 1010 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 19231 + 19757. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*w**2 - 160*w**2 - 16*w**2 to s*w + m*w**2 + p and give m.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4931 divide 1681234312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.16 (b) 0.1 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**3 - k**2 + 7*k - 10. Let l(t) be the third derivative of -t**5\/15 + t**4\/12 - 4*t**3\/3 + 2*t**2. Give 5*l(s) + 6*u(s).\nAnswer: -2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45376 and 79408.\nAnswer: 317632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/9, 0.5, -31?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -751*w**2 - 690*w**2 + 2*w + 892 + 3*w + 442*w**2 - 6*w wrt w.\nAnswer: -1998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7 + 12*n + 72\/7*n**3 - 150\/7*n**2.\nAnswer: 6*(n - 1)**2*(12*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8111 + -8112. Is 3021 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:35 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 7. Give x(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893833621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*j - 197*j + 330*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5418 is divided by 221.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 2. Let w be f(0). Let s(b) be the first derivative of -b**4\/4 - 2*b**3\/3 + b**2\/2 + 2. Calculate s(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -9 - -4)\/((-3)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 4*d - 17. Let l be q(-7). Suppose 3*r - 5 - l = 5*k, -5*k = 0. Solve -t = -0 + r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5419932 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -132*-3930271\nAnswer: 518795772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 1004332?\nAnswer: 1004323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566593, 566450, 566215, 565888, 565469, 564958?\nAnswer: 564355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446823, 446590, 446357, 446124, 445891, 445658?\nAnswer: 445425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39223 - 39222.99999044. What is i rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112102 + 200200100?\nAnswer: 201012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least as big as -0.948413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5361, -6\/1181, 2\/3 in increasing order.\nAnswer: -5361, -6\/1181, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.072072 times -0.1?\nAnswer: -1.1072072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**3\/3 - 2. Let l(w) = -5 + 5 + w. What is l(i(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 12*k - 156. Give a(-16).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2769d - 20?\nAnswer: 2767d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from 3242.\nAnswer: 3242.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 54 = -3*x - 3*q, -2*q = -x - 28. Let y be ((-3)\/2)\/(9\/x). Suppose g = -y + 6. Solve z - g = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 4:52 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252356 and 20523337.\nAnswer: 4853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*b - 55, 3*a - 3*b + 18 = -5*b. Let m be a - -8 - (-2 - 0). Suppose 578 + 80 = m*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 149, -1353, -5425, -13351, -26415, -45901?\n\"Answer: -214*p**3 - p**2 - p + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 4. Let r = c - -1. What is the units digit of (-69)\/(-9) - r\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z. Let k(h) = h. Let d(q) = -g(q) - k(q). Let j(f) = 287*f**2. Give j(d(m)).\nAnswer: 287*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1226*q**2 - 55*q + 106. Does 10 divide k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264766083547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2*n + 333*f**2 + 105*f*n - 11412*n + 2779 wrt n.\nAnswer: f**2 + 105*f - 11412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11039? (a) 1\/10 (b) -2\/7 (c) 5 (d) -4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:32 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11567447 - -1?\nAnswer: 11567450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 22965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*p = 36, -5*s - p + 0*p = -38. Let g be (8\/2)\/(s\/(-24)). Sort -2, g, -3 in descending order.\nAnswer: -2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -1 - 1\/6*j**4 + 0*j**2 - 1\/20*j**5 - 3*j - 1\/6*j**3. Let h(k) be the first derivative of n(k). Find s, given that h(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4660436250 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**3\/3 + 7*u**2\/2 + u + 1. Let a be m(7). Let c = 0 + a. Which is greater: 1\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(230\/(-60)*(-3 - 0)). Let q = -882.4 + 883. Which is bigger: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 10 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*j + 1268*g - 1269*g, -70 = -5*j - 4*g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 378901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-27) - 33\/144)\/((-20)\/80)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115211831 - -0.4.\nAnswer: 115211831.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 19. Let i be q(0). Suppose -3*k - 2*g = -0*g - i, -5*k + 33 = 4*g. Suppose -3*u = 5*y - 664, u = -3*u - k*y + 887. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -989*t - 1522*t - 1580 + 3004*t - 2*t**3 - 1095*t wrt t?\nAnswer: -6*t**2 - 602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z - 10. Let u(h) = 5*h**2 - 87*h + 24. Let k be u(17). Let f(o) = 1. Give k*f(x) - i(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2045 divided by -28\nAnswer: 2045\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = -12. Suppose 22 = 5*r + m, 0*m + 2*m - 20 = -x*r. Suppose 0 = 3*g - 4*s - 15, -2*s - 6 = -r*s. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 - 15*q**2 - 13*q**2.\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518512 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f**2. Let h(u) = 9*u**2. Let y(o) = -8*o**2. Let x(n) = -2*n + 21. Let b be x(13). Let a(q) = b*h(q) - 6*y(q). What is a(i(w))?\nAnswer: 147*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p - 9*p + 2*p)*(-17*p + 108*p + 161*p + (2 - 2 - 2*p)*(0 + 2 + 0)).\nAnswer: 992*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. Let k be (-396)\/54 - (4\/(-6))\/x. Let w = 46 - 136\/3. Which is the closest to w? (a) 2\/11 (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2208 is divided by 160.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -225 * 0.03\nAnswer: -6.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 23. Let m(p) = -4*p**3 - 6*p**2 + 6*p - 1. Let f(a) = -3 + 3 - 100*a + 8*a**3 + 89*a + 2 - 845*a**2 + 856*a**2. What is q*m(x) - 6*f(x)?\nAnswer: -4*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6753, -6765, -6765, -6747, -6705?\nAnswer: -6633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2528551, -2528552, -2528553?\nAnswer: -2528554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 2*y - 20, y + 0 + 18 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -0.2 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157599, 157595, 157593, 157593, 157595?\nAnswer: 157599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*n - 9*n + 84. Let d(p) be the first derivative of 0*p - 9\/4*p**4 + 0*p**n + 11 + 4*p**3. Find the third derivative of d(b) wrt b.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 c when four letters picked without replacement from crsccccccsrssscscsr?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (430\/(-6))\/((-4)\/12). Let f = -196 + 86. Let r = m + f. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.14 + -2.1. Let g = 0.04 - m. Let h = 52 + -50. Which is the second biggest value? (a) 0 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68*o**4 - 74*o**2 + 3053*o + 161250491 wrt o?\nAnswer: 272*o**3 - 148*o + 3053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -260685 - -25685. What is g rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-16)\/(0 - -2). Let z(q) = 3*q**2 - 2*q - 2. Let f(j) = -13*j**2 + 9*j + 9. Let k(v) = c*z(v) + 2*f(v). Let d(p) = -127*p**2. Calculate k(d(o)).\nAnswer: 16129*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 4, w: 2}. What is prob of picking 2 x and 1 b?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 - 284 = -48*k. Solve 2*p + 4 = -k*t, 2*p - p = t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 2:25 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14105?\nAnswer: 5, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.304 - 1.004. Let j = -42 - -41.8. What is the nearest to x in -0.5, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2\/121, -5, 5 in increasing order.\nAnswer: -5, -3, -2\/121, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 7*d**2 + 2*d + 6. Let k be q(-7). Let w(z) = z**2 + 6*z - 8. Let l be w(k). Suppose -9*r = -l*r - 1187. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -15. Suppose -3*c + 25 = 4*v, 3*c = -c - 3*v + z. Suppose r + 3*g = 4*r - 51, c*r - 57 = -3*g. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a35 + 53?\nAnswer: 1a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - 10 + 10 - 2*f + f - f + (-3 + 3 + f)*(-3 + 4 + 1) + 1 + 2*f - 1 - 3*f + 2*f + 2*f + f - 5*f + 3*f + f - 1 + 1)*(-62*f - 195 + 63*f + 14).\nAnswer: 9*f**2 - 1629*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*n - 2347, 4*v + 8*n = 5*n + 4655. Suppose 0 = 5*o - 1879 - v. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1431 + -1429. Is a at least -3\/142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - -5) + 3)*(-74)\/(-185)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-3 - -2 - -2). Suppose 0 = 3*a - u + r + 1, u = 3. Let z(i) = -2*i**3 - 9*i**2 - 8*i - 14. Let b be z(-4). Solve f - b + a = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 71*x**2 + 711*x + 1837. Calculate r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/((-55)\/(-25)) - -252. Calculate the greatest common factor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/3, -23, -18\/7, -3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582834.8 meters to centimeters.\nAnswer: 58283480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - 3*q**4 + 0*q**2 + (-2*q**3 - 2*q**3 + 3*q**3)*(3*q + 0*q - q) + 0*q**4 + 17*q**4 + 36*q**4.\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 901.016l in millilitres?\nAnswer: 901016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + f**2 - 2*f + 2. Let h be z(-2). Suppose h*b = -2*y - 4 - 2, -5*b + 4*y = -30. Is 14*(b - (-988)\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 2605 = -335. Suppose -d = -9*l - 182. Solve 5*r = -2*b - 9, -5*r + 0*b - 15 = l*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.6 + -4. What is the smallest value in -2, -25, i?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/11224218 and -169\/218370.\nAnswer: 56121090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24 - -13253)*2\/(-6)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from dfffnidf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -6, 1 in descending order.\nAnswer: 6, 5, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*p + 73*p - 21 = 0, -2*j - 36 = -4*p. Put -15, 5, -6, j in ascending order.\nAnswer: -15, -6, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -44. Let p be -1 + -2 - -9*1. Let r(w) = w**2 - 4*w + 6. What is the least common multiple of f and r(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from {m: 3, j: 17}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/8 of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4953330.\nAnswer: 2, 3, 5, 47, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*o + 2*o + 6, -m - 2*o + 4 = 0. Suppose m = 4*h - h. Let n = 11 + h. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**3\/6 + o**2 - 17*o. Give h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+61469\nAnswer: 61469.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30876 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.194 + -0.106. Let q = -62 - -61.8. Which is the closest to -1\/5? (a) q (b) 2\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2 + 2. Let p be i(0). Suppose 29*h**p - h + 72*h**3 - 36*h + 40*h**2 - 8*h + 6 - 48*h**4 = 0. Calculate h.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 735?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 400520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven halves of a century?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 != 53024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13747 = 33*n - 15260. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -724471 to the nearest 10000.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154353*a = 154366*a - 289731. Calculate the remainder when a is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -744089\/13150500 - 480\/8767. Find the common denominator of g and -111\/220.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/13)\/((-5*20\/90)\/((-65)\/156)).\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77690988?\nAnswer: 2, 3, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42942 - 42943. Are f and 1\/3774 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3178, 0.2, 177, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 430\/258 + (-3009)\/153*1\/1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9814.212l in millilitres?\nAnswer: 9814212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 5757*x - 607966. Give z(102).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 273293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, -5665, -1, 3 in ascending order.\nAnswer: -5665, -2, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1988\/781*11*-2*(-2)\/(-8)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - 0 - (-1 + 24 - (-30 + 37)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*1 - -2) + (-153)\/170. Which is the closest to 0.1? (a) -0.4 (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:41 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*j**2 + 186*j**2 - 3*j**3 - 758*j**2 + 214*j**2 + 177*j**2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 13. Let z(v) = v**3 + 5*v**2 + 5*v + 8. Let h be z(-4). Which is the second biggest value? (a) m (b) -2\/7 (c) -5\/6 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 32.92 (b) -3 (c) -1 (d) 0.3 (e) 94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d + 0*d + 3 + d**2 - 2. What are the prime factors of a(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -1\/5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 11 - 1. Let k(f) = 3 + 0 - 7*f + c*f. Suppose -1 = -5*w + 9. Give k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-4)*(-472)\/2478 + (-5)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 11*k**2 + 3*k - 38. Let w be (-165)\/(-15)*(0 + 1). Let q be p(w). Let j be (6\/5)\/((-6)\/20). Are j and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-18) + (27 - (-19770)\/(-270)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 9)*(3991\/6)\/13. Which is greater: d or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -27, -102, -207, -342, -507, -702?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 8.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 55, 81, 107, 133, 159?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -231\/20? (a) 1\/3 (b) -2\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w - 120. What is x(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2082, -4392, -6702?\n\"Answer: -2310*y + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aarraaaaaaaraa. What is prob of sequence rrra?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -318, -328, -342, -360, -382, -408?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(1*18))\/(64\/144)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 226 + -4013\/18. Let o = -11753 + 211637\/18. What is the common denominator of z and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70069.\nAnswer: 41, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951910 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2 + o + 14. Let j(t) = t - 1. Let z be j(1). Is 14 a factor of y(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millennium in years?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - i + 45 = 0, -2*y + 44 = -5*i - 18. Let c = 291 - 280. Calculate the remainder when y is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + -1*sqrt(448)).\nAnswer: -48*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 3*k + 84014 - 80622 to the form z*k + u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 6*v**2 - 9*v - 4. Let m = -1684 - -1698. Calculate the remainder when s(-7) is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 366334*j - 3*j**2 - 183164*j + 15*j**2 - 183170*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880070609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/7 - 534*g**2\/7 - 18960*g\/7 - 181600\/7 = 0.\nAnswer: -227, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -2 + sqrt(13))*3)**2 - (0 + sqrt(13)*-2).\nAnswer: -70*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1325443300 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f - 88. Let m be 0\/(-1) + f\/(-33). Let t = 4.6 + -4.2. Put t, -4, m in descending order.\nAnswer: m, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3\/5*t**4 - 6\/5*t + 3\/5*t**2 + 6\/5*t**3 = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*y + 14. Find the second derivative of -2*x + 6*x**y - 3*x - 2*x**4 + x**4 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 136 = -0*w. Suppose -4*l + 33 = k, 2*l + 3*k = -k + w. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 5*j - 205 = -88*p + 3*j, 140 = 4*p - 11*j + 8*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -t + 2, t + 5 - 2 = 0. Let d = -0.7 + 0.2. Which is the second biggest value? (a) y (b) d (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 20787252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3677981?\nAnswer: 3\/3677981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-16))\/(13\/(-52)). Let y = -67\/40 + 9\/5. What is the second biggest value in y, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2*x + 4)*(-5 + 1 + 3) + x - 5*x + 2*x - 3*x - 3*x + 5*x)*(-2 + 0 + 0)*(1 + 1 + 2).\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84172 is divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1329*v**4 + 30*v**2 - 40855*v?\nAnswer: 15948*v**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x + 42*x - 5861850. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.62563 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**2\/2 + 1. Suppose 8*k - 4*k + 5*o = -129, 114 = -3*k + 2*o. Let n = k + 37. Give d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1049 (b) -2\/21 (c) -0.1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5585315.52785 + -0.03.\nAnswer: 5585315.49785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9 + -8.454527008.\nAnswer: -6.554527008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1021355, -4085280, -9191835, -16341026, -25532859, -36767340, -50044475?\nAnswer: -65364270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (55\/33)\/(5\/(-57))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 12*m**3 + 1145792*m**2 + 36271628*m + 23671848 = 0?\nAnswer: -95451, -31, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -693912 by -58.\nAnswer: 11964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 371*h - 368*h. Suppose h = -2*l - 8, -5*l = -4*z + 3395 - 79. List the prime factors of z.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 7 - 8. Suppose -k = v + 2*k + j, 0 = -4*k - 20. Let d(h) = 7*h - 29. What are the prime factors of d(v)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 11.8. Let t = a + 1.7999944. Round t to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2 + 106*j + 2809 = 0.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*(1 + -3). Let f be (-3)\/44 + 2\/8. Which is smaller: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6) - (129\/(-6) + 0). Is -2*382*(-15)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174466860?\nAnswer: 2, 3, 5, 761, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-981)\/12 + 3\/(-12). Let u = t + 89. Let w be -2*u\/14 + 118\/114. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/3 - 614*u\/3 - 308\/3.\nAnswer: 2*(u - 154)*(2*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8173488732 - 13.709?\nAnswer: 8173488718.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g - 0*g + n, 2*n - 10 = 2*g. Let f(a) be the first derivative of -a**3\/3 - 2*a**2 - 4*a + 2. Let o be f(-4). Sort o, g, -3 in decreasing order.\nAnswer: g, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -67*y + 2. Let s(q) = -110*q + 262*q - 160*q. Give s(c(p)).\nAnswer: 536*p - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(-8\/7)\/((p**(-1\/8)\/p)\/(p\/(p**(-2\/3)*p*p)*p))*((p*p**8)\/p**(-3))**14 assuming p is positive.\nAnswer: p**(200059\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 - 6*z.\nAnswer: 3*z*(z - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-12) + (-2)\/8. Let d(y) = g*y**2 + 7*y - 6 - 2*y**2 - y**2. Let m be d(6). Which is the biggest value? (a) 1\/6 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 2.4.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25344 or -25336?\nAnswer: -25336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1430*k**3*y**4 - 3*k**3 - 55*k**2 - 4*k*y**4 with respect to y.\nAnswer: -5720*k**3*y**3 - 16*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*k = 163*k - 1853. What is the remainder when k is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.7515g in nanograms?\nAnswer: 531751500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.2 and -0.005.\nAnswer: -10.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10007 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 7:44 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63260532?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**7\/21 + 7*s**4\/6 - 2*s + 15. Let t(x) be the first derivative of z(x). What is the third derivative of t(c) wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-3 + 9 - 5) - 6274. Put 1\/4, 2\/11, t in ascending order.\nAnswer: t, 2\/11, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 345*s**3 - 6570*s**2 + 22680*s.\nAnswer: 5*s*(s - 84)*(s - 3)*(s + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2800 + 2807. Solve -3*x + 3*w - 6 = 0, -26 = 2*x - g*x - 4*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewaba. Give prob of sequence ewa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 324.999831 + -325. What is f rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*l + l + 1 = 0, 2*l + 14 = 2*h. Suppose 0 = h*i + 4*f - 290 - 6, 3*i + 2*f = 452. Is 37 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -85?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*z = 92*z - 5*x + 4, 4*x - 2 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173 + 77. Let s be 1\/((3\/(-6)*2)\/p). Calculate the highest common divisor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 4299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -46653903?\nAnswer: -46653903.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5354 = -c + 38651, -3*c + 4*f = -99891. Let r = 566298\/17 - c. Let p = r + -2382\/187. Find the common denominator of 1\/7 and p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 223725 + 648415 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 80*j**2 + 25*j - 30. Let x be d(3). Calculate the highest common factor of 45 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 - 87. Let w = -23 + 51. Let g = p - w. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 + (-13188)\/(-336))*(-24)\/2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5026761 + 15373241 = v, t = v - 5100002. What is t rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.545952 litres to millilitres.\nAnswer: 6545.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a976 - 14?\nAnswer: -1a98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + k**2. Let n(u) = 4*u**3 - 6*u**2 + 5*u. Let i(g) = -g**2 + g + 3. Let s be i(-1). What is s*n(z) + 6*h(z)?\nAnswer: -2*z**3 + 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20002000 + -1002121?\nAnswer: -21011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*a - 17*a - 12. Suppose a = -3*j - 9. Let x(p) = -p**2 + p - 5. Let r be x(0). Put r, j, 4, 5 in increasing order.\nAnswer: r, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 37*f - 18. Give y(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -71. Sort -2, n, 3, -10.\nAnswer: -10, -2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 6 - 0) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j = -18 - 242 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 19*d + 3. Let s(w) = -w - 5. Let k be s(14). Let h be v(k). What is the greatest common factor of h and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4168 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.019 + -0.081. Which is the third smallest value? (a) -0.5 (b) o (c) -5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-537)\/(-4))\/1 + (-291)\/(-388). What is the greatest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 1583?\nAnswer: -1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*2.074\nAnswer: -0.24888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 49780.\nAnswer: 49780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.403476l to millilitres.\nAnswer: 403.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -22937\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 185269386 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/5 + 5*u**2 - 122*u\/5 + 152\/5 = 0 for u.\nAnswer: 2, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 11:55 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6504881 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*u = 24, 0*d + 2*u = -4*d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 - (-83138)\/77 - (-2)\/7 is divided by 363.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*v - 45 + 45)*(-24*v**2 - 14*v**2 + 21*v**2) to a*v + n*v**2 + q*v**3 + d and give q.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 103.31 (b) 1\/4 (c) 0.48 (d) 0.5 (e) -4 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w = 17831 - 5015. Let d = w + 784. What is the remainder when d is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 6. Let t be u(8). Let m(c) = -t*c - 4*c**3 + 1 + 0*c**2 + 4*c**2 - 2*c**2. Let z(l) = l + 9. Let k be z(-8). Give m(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45762281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 803603\/67530 - -2\/33765. Let c = -53 - -15. Calculate the common denominator of c and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + 2?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 + 6 + 0 - (-418)\/2. Suppose -2*c - d = -7*c. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 3*p**3 - 5*p**3 + 9*p**3 + 3*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 11. Let m = -5 + z. What is the derivative of -1 + 2*l - 3*l**m - 2*l wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 0*s + 1\/2*s**2 + 10. Let r(g) = -g + 2*g + g. What is r(u(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i. Suppose u + 2*u + 138 = i. Let a = u + 83. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 133590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209273762 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1804561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 - i**4 + 0*i**4)*(2 + 0 + 0) - 20*i**4 - i**4 + 0*i**4.\nAnswer: -23*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**2 + 1. Let t be (-85)\/(-170)*(-2 + 1 + -1). Calculate r(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 6 - (-231)\/112?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -90a96e - 5?\nAnswer: -90a974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2928 + 946. What is the greatest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6911 + 0.9911. Which is the nearest to -3\/2? (a) 3\/7 (b) -39 (c) j (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 10. Suppose -3*i + m*t + 17 = -0*t, -5*i - 4*t = -21. Suppose 5*l = -i, -2*l = -v - 3*l + 8. What is the lowest common multiple of 1 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 432*f - 14548. Let v be m(41). Which is smaller: 3165 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -0*l + l. Let j(o) = 2*o**2 + o + 2. Calculate the remainder when l is divided by j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77356 is divided by 200.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2066980 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 6*w**2 - w - 2. Let n be u(-6). Let q be (-2)\/4 + (-18)\/4. Sort -2, q, n.\nAnswer: q, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j + 3 - 3)*(3*j + 0*j - j) + 136 - 33*j**2 - 136)*(-2*j + 2 - 2).\nAnswer: 54*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9558 and 0.02509.\nAnswer: -9557.97491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*q**2 - 171*q**2 - 67*q**2 - 76*q**2.\nAnswer: -229*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Let b be z(-2). Suppose -3*v - 12 = 0, 4*m + 4*v + 0 + b = 0. Suppose -m*l + 48 = 4*q, -l + 7 - 1 = -2*q. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.69 + 0.247\nAnswer: -0.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -28. Let x be (t\/9 + 6\/9)*-2. Solve -2*n + 14 = -n - 3*c, -3*c = x*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1))**6\/(t**(-5\/2)*t\/t**(2\/3)))**(-37))**(2\/29) assuming t is positive.\nAnswer: t**(851\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1180073 divided by -1.\nAnswer: -1180073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/400*10*(-1)\/3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 14050 = -14232. Sort m, 3, 6, -1 in decreasing order.\nAnswer: m, 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-7)))\/(((t\/(t**(4\/3)*t*t))\/t)\/t*t))**(6\/5) assuming t is positive.\nAnswer: t**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s - s)*(0 + s + 0) + 17*s**2 - 34*s**2 - 37*s**2 + 2*s**2 + 4*s**2 - 5*s**2.\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.888682 centuries in decades?\nAnswer: 98.88682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87302 (base 13) to base 2.\nAnswer: -111011101010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 6 = 3*q. Let h = 34.5 + -34.4. Which is the third smallest value? (a) h (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 114, 28 in increasing order.\nAnswer: 0, 28, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -23.66. Let s = -5022.64 - -5022. Let x = r - s. Which is the smallest value? (a) x (b) -1\/3 (c) -2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(63))\/sqrt(7))\/(sqrt(363)*1).\nAnswer: 3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 8*q**2 + 12*q - 81. Let z be u(8). Solve 4*r - 2*b = 4, -z*b + 11 = -3*r - 17*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (1458\/135 - -10).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 6*d + 85. Suppose -2*r = -9 - 109. Suppose d - r = -2*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - 1*sqrt(152)) + sqrt(152) + sqrt(152) + sqrt(152))*3*4)\/(sqrt(512) - (sqrt(512) - (2*sqrt(512)*1 + sqrt(512)))).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2639 - 9*b + 10*b - 4*b - 41*b**2 + 40*b**2.\nAnswer: -b**2 - 3*b + 2639","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c + 4*c**2 + 6*c + 0 - 13*c - 7*c - 2 in the form p + z*c**2 + t*c and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*h**2)*(-5*h**2 + 0 + 0) + 7*h**4 - 2 - 2*h**4 - 4*h**4 in the form z*h**3 + c*h**2 + i + f*h**4 + m*h and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015924415 rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*z - 125*z + 58 = -26 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/3 + -2 + (-5)\/(-3). Suppose -4*a + h*j = -2*a - 10, 20 = 4*j. Let o be ((-12)\/a)\/(4\/40*-1). Is 12 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424463 is divided by 478.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) 1 (c) -0.0068 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*v**4 + 67*v - 67*v + (-v**3 + 2*v**3 + 8*v**3)*(-21 + 21 + 22*v).\nAnswer: 167*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 1 + -7 + (89 + -142 - -54)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 262*i**2. Let a(b) = 4*b. Calculate a(n(v)).\nAnswer: 1048*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*j + 32, -30 = -6*j + j + 3*u. Solve -1 = j*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 1 - 56587*z + z**2 + 0*z**2 - 3*z**2.\nAnswer: -2*z**2 - 56587*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 687 and 37556?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.258 - 0.412. Let j = 0.77 + z. What is the third biggest value in 27, j, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 21835*p\/3 - 828286\/3.\nAnswer: -(p + 38)*(p + 21797)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 411866636 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*i**2 - 32*i**2 - 95 + 26 + i wrt i?\nAnswer: -40*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 2:19 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, 1734, 6580, 14144, 24474, 37618?\nAnswer: 53624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4232749.\nAnswer: 271, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 8 = -j + 4*k, k = -5*j + 14. Suppose -o - j - 3 = 0. Which is the closest to 0.1? (a) o (b) 2\/49 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -1787*d**5\/5 + 2*d**3 + d**2 + 171*d + 37. Find the third derivative of g(y) wrt y.\nAnswer: -42888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 38. Let i be z(18). What is the greatest common divisor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/5)*i*(i*i\/i**(4\/9))\/i*i**2\/i*i*i**(-2)*i)\/((i\/i**(1\/2))**(5\/19)\/(i\/(i\/(i**4\/i))*i**(-4\/9)*i)) assuming i is positive.\nAnswer: i**(11251\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - 81\/6)*(-56)\/6?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r - 53. Let d be i(-11). Solve -3*l = -2*z - 19, -4*l + 11 = -2*z - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*z**2 - 44*z**2 + 12*z**2 + 10*z**2 + 13*z**2 - 4447 in the form f*z**2 + a*z + t and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 2*i = -8, 5*z + 4*i - 3*i = 10*z + 28 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20052670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - (-210)\/4*(-24)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/21 (b) -3\/5 (c) 75\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83637647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**5\/35 - 17*d**4\/42 + 29*d**3\/21 - 10*d**2\/7 - 4*d - 732. Solve f(o) = 0.\nAnswer: -10, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -131, -474, -953, -1562, -2295, -3146?\n\"Answer: a**3 - 74*a**2 - 128*a + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3444 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 108, 155?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17272, -17331, -17370, -17389, -17388?\n\"Answer: 10*w**2 - 89*w - 17193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose -v*x = 3 - 1. What is the remainder when 16 is divided by (-4 - x)\/(2\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 13. Let t be i(10). Suppose 5*g = 2*l - t*l + 210, 0 = 4*l. Suppose -z = z - g. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -45\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let u(q) be the third derivative of 0 + 0*q + 1\/24*q**4 + 0*q**3 - 3*q**2. Give u(g(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from uuuuussuujjj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -29. Calculate the remainder when (-21)\/28 + 383\/4 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n + 60 = 0. Suppose 7*s - 1615 = -n*s. List the prime factors of s.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 20*u + 2524. Let r(s) = -17*s - 1. Calculate r(n) + y(n).\nAnswer: 3*n + 2523","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 934000 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + (0 + sqrt(1573) + -3)**2)*-5.\nAnswer: -7865 + 330*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 9*x**2 - 10*x. Let r be y(11). Let v be r*(0 + 3\/6). Let t be (4\/(-10))\/((-4)\/60). Calculate the highest common factor of t and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 21*q - 24*q - 3, 4*d = -2*q - 2. Solve d = -26*s + 16*s - 40 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 56)*(-4)\/8. Let q = s + -15. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/(-35))\/(10\/15225). Is d bigger than 6084\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -0.507988087.\nAnswer: -0.007988087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9904819?\nAnswer: 9904819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -124, 16, -1\/7?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*g + 85 - 85 + 9*g**4 wrt g.\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 11*o**2 - 14*o - 17. Let g be x(-12). Solve 20 = -g*n + 11*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 2 - 2 - 2*r**4 + 0*r + 0*r + (-6*r - r - 9*r)*(-2*r**2 + 2*r**2 + r**3) - 3 + 3 + r**4 + 0*r**4 - 2*r**4 + 0*r**4.\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 379 + 3089. Let x = i - -902. Suppose x = -5*j - 2392. Round j to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.5 (c) 50\/7 (d) -4\/2125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - b = 2*p - 5*b, 0 = 4*p - 1425*b + 2834 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3\/3346394 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 283164 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -81.\nAnswer: -81, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/20 and 6\/42 - 391\/(-56)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 6, 3, 0, 15 in descending order.\nAnswer: 19, 15, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 585 and -16.\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 3. Let u(l) = l + 5. Let c be u(-6). Let w be r(c). Suppose 2*m = 4*j - 8, -4*j + 4*m + 3 = -5. Solve -j*s = w*k - 16, s = -0*k + k - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202.7 + 278. Let n = -89 + c. What is n rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 59224?\nAnswer: 177672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 267 = 3*h, 128*k + 138*k - 262*k - 423 = -5*h for h.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 18*a**2 + 37*a - 2. What is l(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 7. Let b(x) be the third derivative of -x**4\/12 - 5*x**3\/2 - 3*x**2. Let d(o) = 6*b(o) + 13*c(o). List the prime factors of d(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*h - 28, 2*r + 16 = -5*h + 2. Suppose 4 = y - r. Let u(w) = w - 2. Let p be u(6). Solve y*j + 4*x + 10 = 5*j, 0 = -p*j + x + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43381, 173473, 390293, 693841, 1084117, 1561121?\nAnswer: 2124853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 455 - 1381\/3. Let u be -3*((-4)\/(-6) - (-68 - -67)). Which is bigger: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 37 = -2*l + 4, -50 = -2*l - 4*o. Solve -6 - 51 = l*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29956693*f**3 - 42924405*f**2.\nAnswer: -179740158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**24\/((c\/(c**(7\/5)*c)*c)\/c*c))**(-6\/23) assuming c is positive.\nAnswer: c**(-732\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173161, -173149, -173099, -173011, -172885, -172721?\nAnswer: -172519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45516.\nAnswer: 2, 3, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 385187058 a multiple of 941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 330 + 430. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let p(r) = 114*r + 19. Let w(g) be the first derivative of 23*g**2\/2 + 4*g + 11. Let k(a) = 4*p(a) - 19*w(a). Determine k(t(u)).\nAnswer: 38*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 996 divided by 103.\nAnswer: 996\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/(-4))\/(-21))\/((-2)\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8879746*t**4 + 135657732*t wrt t.\nAnswer: -106556952*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -6 + (-31)\/(-2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167624 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2700)\/(-96))\/45*48*70\/(-50)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 17 = -3*q, 2*q - 5*q - 7 = -4*p. Solve 4 = q*n - 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuuuuyuqxuxuxx. Give prob of picking 1 x, 1 y, and 1 q.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 6*n + 2. Let d be p(-6). Find the third derivative of -3*s**4 - 25*s**2 - s**4 + 22*s**4 + 35*s**d wrt s.\nAnswer: 432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2279 and 636?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -116 - -273?\nAnswer: 15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331*a**2*d**2*q*v + 11*a**2*d**2*q - a**2 - 3*a*d**2*q*v + 4*a*d**2*q - 22*a*d*v - 4*a*v - 2*d**2*q*v - d**2*v wrt a?\nAnswer: -662*d**2*q*v + 22*d**2*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 - 7*d - 11. Let t(n) be the third derivative of 0*n - 1\/30*n**5 - 5\/6*n**3 - 1\/8*n**4 + 0 - 38*n**2. What is 7*t(s) - 3*x(s)?\nAnswer: -5*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from pwpss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299)*-2 + 3 + 4 - (-4 + sqrt(304)*-2*5)**2.\nAnswer: -30409 - 342*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-6 + 8 + -1))\/(6\/16). Let d(u) = -u**2 - 20*u + 224. What is d(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 5*n - n)*(1245*n**3 + 1271*n**3 - 2456*n**3).\nAnswer: 60*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*u + 600473 = 18173. List the prime factors of u.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -70, -2, -8, 14, -4 in descending order.\nAnswer: 17, 14, -2, -4, -8, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.7?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -694 > 541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -215\/399?\nAnswer: -215\/399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 8*g + 2*g**2 - 3*g)*(460 - 135 - 184).\nAnswer: 282*g**2 + 1410*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*b + 96. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 32*t**2 + 65*t - 86. Determine x(-34).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 83 - 77. Suppose 0*q = -4*z + 5*q + 39, -3*z = -q - m. Let a(w) = 15*w + 9. Let t(o) = 8*o + 5. Calculate z*t(n) - 6*a(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnc when three letters picked without replacement from {w: 2, c: 5, n: 1, h: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 - -2)\/35)\/(-1). What is the closest to 2 in h, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 + 76*d**2\/3 - 74*d\/3.\nAnswer: -2*d*(d - 37)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1058 = 18*t - 6998. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11924?\nAnswer: 2, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ionz when four letters picked without replacement from {i: 3, o: 2, n: 1, z: 1, p: 3}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/341 or 1?\nAnswer: 8\/341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.743 rounded to one dp?\nAnswer: -39.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.18 greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 3. Let b be x(-8). Let g be 1 + (3 - 2\/b). Determine j so that -24\/5*j - 8\/5 - g*j**2 = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 80 = 56. Let r(p) = -2*p**3 - 35*p**2 - 18*p - 10. Let a be r(l). Solve 3*d = -s - 7, -d - 5*s + a*s = 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(567) + 1*sqrt(567) + 1 + sqrt(14)\/sqrt(2)).\nAnswer: 3 + 57*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 5*m + 2. Let n be o(3). Let i = n - -18. Solve -5*j = 3*q - i, 4*j + 4 + 0 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 19*p**2 - 18*p. Let l be q(-18). Let w be (-6)\/21 - 27\/(-21). Let x(j) = -41*j + 42*j + w + l. Calculate x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.331 rounded to two decimal places?\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -123, -491, -1103, -1959, -3059?\n\"Answer: -122*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 9*h - 5. Let x be m(7). Suppose 6*k + 12 - x = 0. Let w = -3.975 - 0.025. What is the second biggest value in 0.1, w, 0, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 + 1 = 16*l. Solve l - 23 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2 (c) 5\/2 (d) -66 (e) 3 (f) -869.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2875011 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**3 + 43 - 4*f**2 - 65 + 78.\nAnswer: -16*f**3 - 4*f**2 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 0.01. Let h = s + -0.004. Let t = -0.02446 - h. What is t rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0345961728 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 14\/4 + (-105)\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2750, 5481, 8176, 10841, 13482?\nAnswer: 16105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 e, and 1 f when four letters picked without replacement from efntfteetb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12936?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66683 is divided by 22225.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*r**2 - 2*d**2*r*s + 24*d**2*s**2 + 41*d**2*s - 20*d*r**2*s**2 - 2*r*s**2 wrt s?\nAnswer: 48*d**2 - 40*d*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13146530 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfn when three letters picked without replacement from {u: 1, n: 5, v: 1, f: 1, b: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 + 100.1. Let j = i - 0.1. What is the third biggest value in j, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487*j - 323301 = -492*j - a, -j + 2*a + 64669 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 23*k - 32. Let q be l(11). Let t = q + -64. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r**2 + 13*r + 13. What is s(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.86334l to millilitres.\nAnswer: 86863.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48490 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/21000 and 63\/8.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 99, 163, 227?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**4 + 8848*i**2 - 760*i - 1.\nAnswer: 24*i**2 + 17696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 191, 378, 565, 752, 939, 1126?\n\"Answer: 187*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -v + 3. Does 2 divide v\/(-10) + (-196)\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:14 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykpyggpkpp. Give prob of picking 2 k.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f = 12, 2*a - 109 = 5*f. Suppose 4*c = -6 + 30. Let g be 30\/c - 1 - -44. Is a equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-114)\/2)\/3 - -2. Let b(y) = 30*y - 2630. Let f be b(91). Let l = p + f. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23422 - -23800. Solve -78*b + q = -12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let v(g) = -7*g**2 + 5*g**2 + k*g**2. Let t(n) = -4*n**2. Determine v(t(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486216\/6216 - (-4)\/(-42) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-12))**3*((c*c**0)**(-23))**(-44) assuming c is positive.\nAnswer: c**1048","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + i - 7. Let f be t(0). Put 0, f, 4\/7 in decreasing order.\nAnswer: 4\/7, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 68890, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 14 - 9 + 0 + 1 - 3 + (2 - 3 + 0)*(-4 + 5 + 0) + 1 - 4 + 2 + 0 + 0 - 2 - 11 + 16 + 19)*(-2*o + 2*o - o).\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**15))\/g)\/g*g**(-17)\/g*g assuming g is positive.\nAnswer: g**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46.5? (a) -0.1 (b) 45 (c) 1\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2448 and 27472?\nAnswer: 247248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99)*3 + (sqrt(99) + sqrt(99)*1 + sqrt(99))*-3)\/(((sqrt(72)*1 + sqrt(72))*-6)\/(-5*sqrt(72))).\nAnswer: 15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**3*p*w**3 - 14*i**3*p + 30396*i**3 - 63*i**2*p*w**3 + 2*i**2*w**3 - 5649*i**2 - 3*i*p*w**2 - 2*i*w wrt i?\nAnswer: -18*p*w**3 - 84*p + 182376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -35*t + 6. Suppose 13*z + 18 = 5. Let y be a(z). Let b = y + 32. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43856, -48504, -53152, -57800, -62448?\nAnswer: -67096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1667*u + 3947 + 6647 + 9410 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 14)*171\/(-18). Calculate the highest common factor of r and 3078.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from djjjpjjdjjpjpjpj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.316 and 3.\nAnswer: 3.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-4*r**2 + 14 - 14) - 124*r**2 - 73*r**2 + 63*r**2 + (-1 + 1 - 2*r)*(-2*r + 2*r - r).\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 743535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**4\/4 - 7*w**2. Let c(b) = -2*b**2. Calculate t(c(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310.349 meters in centimeters?\nAnswer: 231034.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/50 - 2677*i**4\/10 + 7166329*i**3\/5 - 19184262733*i**2\/5 + 2452*i. Find l such that h(l) = 0.\nAnswer: 2677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*n + 247 + 424 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7124239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -248 + 244. Let g be 6\/8 + (31\/z)\/1. Let f(s) = s + 3. What is f(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2472*f - 4049*f + 6522*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 2. Let m be q(-4). Suppose 0 = v + m*o + 18 - 5, -2*o + 8 = -2*v. Let r = 2 - v. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2492 and -81\/5627648.\nAnswer: 39393536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(200)*4 + 4 - 1*sqrt(200)*-5).\nAnswer: 16 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 4*j. Let r = 45 + -43. Let o(z) = -2*z**2 - 15*z - 4 + 3*z**r + 4*z**2. Let h be o(3). Give y(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*p + 7011 = -10853 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68075328 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 43812 + 3340\nAnswer: 47152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 40.8?\nAnswer: -32.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 60, 147, 306, 561, 936?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203111 is divided by 126.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1883\/(-1076)*-1*1*8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 1\/3*l**2 - 1\/3*l - 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101126 and 250244?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 63445 and 0.1.\nAnswer: 63445.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 26*c + i + 103 = 0, -4*c - 4*i = 212 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -567095, -567132, -567171, -567212, -567255, -567300?\nAnswer: -567347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.2001994 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 1, r: 6, t: 1, x: 1, k: 5}. What is prob of picking 1 k, 1 s, 1 t, and 1 r?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6567134 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51\/1213733 + 171972633550\/440585079. Let f = 1171\/3 - k. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + v**2 - 3*v - 13. Let p be k(-2). Suppose -p*d + 641 = h - 6359, h = -2*d + 2803. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 11. Let o = 13 - 9. Suppose -7 = -o*l + 17. What is the remainder when w is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332000 (base 5) to base 13\nAnswer: 5308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.029546593 and 7586?\nAnswer: 7586.029546593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -s - 5*u + 3*u - 94, -2*s + 1072 - 1077 = 3*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3353 (b) -0.2 (c) 0.05 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.6 - -55.6. Let g = i + -18. Let q = 31.987 - g. Round q to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48192970?\nAnswer: 2, 5, 7, 59, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/4 - 173*a\/8 - 255\/8 = 0. What is a?\nAnswer: -85, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4 + 1 - 2*m + 3*m**2 - 2*m**2 + 4. Let s be j(4). Solve d + 4*a = -s, 7*a = 3*a - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-43)\/(-1) + (-156)\/39. Suppose 43*c = z*c + 136. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*h - 1826*h - 17628 = -799*h - 930*h for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.9 and -80.86.\nAnswer: -65.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1646*q + 813*q + 2149*q + 359*q - 1040*q.\nAnswer: 3927*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.04 - -0.27. Let v = k - -0.57. What is the second biggest value in v, -4, -1\/3, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 71 = 2*y, 4*y + 133 = n + 2*n. Is -31 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 3959?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*i - 2945 + 2945 - 27*i - 18*i - 38*i.\nAnswer: -133*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -3*c**5\/5 - 633*c**4\/4 - 14910*c**3 - 536550*c**2 - 1029000*c + 8. Factor o(u).\nAnswer: -3*(u + 1)*(u + 70)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p - 0. Suppose k = 4*m - 6, p*k - 12 = -0*m - 2*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -166.8 and 11.4544.\nAnswer: -155.3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.3 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1831? (a) -2\/21 (b) -1\/7 (c) -599\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-136)\/28)\/(2\/71). Let u = 173 + j. Let g = 2 + -5. Put u, -0.5, g in ascending order.\nAnswer: g, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 16. Let n(v) = 10*v**3 - 4*v + 5. Let b(z) = -z**3 - 1. Let m(u) = t*b(u) + n(u). Find the second derivative of m(d) wrt d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(120))\/sqrt(8))\/(1*sqrt(605)).\nAnswer: -3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 80*x**2 - 41*x - 165. Is n(-4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2\/5 - 312\/20*(-304)\/114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/3995 and -20\/4163589.\nAnswer: 20817945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 98, 55, -18, -121?\n\"Answer: -15*v**2 + 2*v + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7684\/(-10))\/((-1)\/(-5)). Let y be (-1)\/(-8) + 1599220\/(-416). Let b = y - w. What is the common denominator of 20\/3 and b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 487? (a) -4 (b) 0.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 62. Let l(a) = 2*a**2 + 19*a - 1. Let c(q) = -8*q**2 + 2*q - 2. Let k be c(1). Let b be l(k). List the prime factors of f(b).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0332 and -3.7?\nAnswer: 3.6668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -991, -1025, -1059, -1093, -1127?\n\"Answer: -34*l - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*u - 342 + 346 = 0, -3*o - 8 = -3*u - u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7 - 3. Let q be (3 - 0) + 1 + 0. Sort l, q, 1 in ascending order.\nAnswer: l, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474110782?\nAnswer: 2, 1657, 143063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 215 = -11*a. Which is greater: a or -18?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 216*x - 17496.\nAnswer: -(x + 108)*(x + 324)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13052300 (base 6) to base 14.\nAnswer: -b1828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 23*j**2 - 23*j - 51. Let q be t(-22). Calculate the remainder when q\/232 + (-753)\/(-8) is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1355*l**5 - 1047*l**3 + 1236993*l - 1?\nAnswer: -27100*l**3 - 6282*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2520.049 - 2528. What is o rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15750 and 9?\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -311 != -311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + 15*v + 3. Let u(a) = a**2 + a - 1. Let j(o) = -l(o) + 6*u(o). Suppose 6*k = k + 240. Calculate the remainder when k is divided by j(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(sqrt(1300) - sqrt(1300)*3*5))**2.\nAnswer: 2293203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 0.2, -5, -0.066 in descending order.\nAnswer: 16, 0.2, 0, -0.066, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/120 + 4*k**3\/3 + 5*k**2. What is the first derivative of d(w) wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*i**2 + 16*i**2 + i**2 + 10)*(2 + 3*i - 2) to the form s*i**3 + l + n*i + q*i**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 23. Calculate a(16).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223.1 + 223. Which is the fourth smallest value? (a) u (b) 0.1 (c) -1\/20 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39877 divided by 96\nAnswer: -39877\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -361099, 2\/15, -38?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = -2*b + 5*t, 3*b + 37*t - 583 = 32*t. Solve -42 = 36*r - b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*f - 2*c, -c - 3*c + 61 = 3*f. Let y = f - 10. Suppose -3*j + 0*j + a = -16, 0 = y*j - a - 28. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -998649, -1997317, -2995989, -3994665, -4993345?\nAnswer: -5992029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -10043230?\nAnswer: -10043233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 31212?\nAnswer: -31231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-167650)\/(-119750) - (-2)\/(-10)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.120832nm?\nAnswer: 0.000007120832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**3 - 23*i**3 - 10*i**3.\nAnswer: -59*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50246081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 + 8 + -16 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -136, 1038, -5\/4?\nAnswer: 1038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2891*f**2 + f + 2. Let g be s(-1). Round g to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13118302 divided by -24?\nAnswer: 6559151\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 2*w + 0 - 3\/2*w**2 - 7\/6*w**3 + 1\/12*w**4. Calculate u(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2 - -2) + (35 - 35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 72. Let t = 0.519 - 0.319. Which is the nearest to 1\/2? (a) t (b) -4 (c) q (d) 2\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229006962.\nAnswer: 2, 7, 13, 79, 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 20*k + 1. Let o be t(20). What is the second biggest value in o, -2\/11, -12\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -25*q**3 + 2*q**2 + 3*q + 3. Let b(d) = 75*d**3 - 7*d**2 - 8*d - 8. Let w(n) = -3*b(n) - 8*h(n). Suppose w(j) = 0. What is j?\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552862863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 360843.638 to the nearest 100.\nAnswer: 360800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -j. Suppose 0 = -8*s + 9*s - j. Factor -1\/2*p - 1\/2*p**2 + 1\/2 + 1\/2*p**s.\nAnswer: (p - 1)**2*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 9*s - 5. Let b be x(8). Let u = -4197\/13 + b. What is the biggest value in u, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -3*8\/6. Let b be 0 + 3 + -6 - a. Which is smaller: b or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 8*r - 26 - 20.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/(-5) + 200 - 1?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 21*h - 18. Let c(y) = 13*y - 1. What is the remainder when c(5) is divided by v(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/14 and -106*(4 + (-1)\/(-28)*-113).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 3)*((4 + 2 - 5)*(-2 - 3 + 2) - 48 + 6 - 13)*(-5*k + 4*k + 2*k) as z*k + n and give z.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 86.3. What is the nearest to 2\/5 in t, -5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 166.618 - -0.382. Let f = 167 - b. What is the nearest to f in -2, 0.1, -29?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, 665\/2, -3, 2\/9.\nAnswer: -3, -2, 2\/9, 1, 5, 665\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 33.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a. Let y = -83.1 - -83. What is the nearest to y in a, -3\/4, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 5\/19 (b) 2 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 10 = -5*x - 20, 5*x = 3*b - 30. Let z = x + 3. Let f be (z\/(-24))\/(2\/(-4)). Put f, 0.5, -5 in decreasing order.\nAnswer: 0.5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380 divided by 6.\nAnswer: 190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 + 12*j**2 + 12*j. Let c(i) = i + i**2 - 2*i**2 - 2*i. Suppose -4*f + 14 = 2*b, -2*b - 2*f + 31 = 25. What is b*x(t) - 12*c(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/10)\/(16\/(-80)))\/((-120)\/1360)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1331126*j**2 + 2*j - 65113?\nAnswer: -2662252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (180 - 130) + 6072\/(-121)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 9 = 5*q, -w - 17*q - 45 = 4*q - 7*q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*t**3 + 2*t**4 + 146 + 2*t + 3*t**3 + 15*t**3 to i*t**4 + w + r*t**3 + s*t**2 + p*t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 7*m + 12 = -3*r, -27*r = -4*m + 3*m - 34*r - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144 - 209. Let x = c + 68. Solve 2*z = 5*z - 15, 0 = -x*g - z + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Let f be (-4)\/(-6) + 4\/(-6). Suppose -k*d + d = f. Let s(l) = -l**2 - 1. Calculate s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65.3 and 0.015.\nAnswer: -0.9795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 3*t - 15. Let i(o) = -o**2 + 2*o + 10. Calculate 7*i(k) + 5*x(k).\nAnswer: -2*k**2 - k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/4)*q*q**0*q)\/((q\/(q\/(q\/q**(-15))))\/(q**(-6)*q)))**(-12) assuming q is positive.\nAnswer: q**213","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + -57. Let d = -45.736164 - 36.263755. Let i = q - d. Round i to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, 0.00192, 5 in descending order.\nAnswer: 5, 3, 0.00192, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2948*u**2 + 1476*u - 72 = 0. Calculate u.\nAnswer: -6\/11, 3\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-3\/4)*m)\/(m**(-3)\/m)*(m**(2\/3))**(-33))**31 assuming m is positive.\nAnswer: m**(-1767\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-2*1\/8. Let d = -0.8467 + 0.6467. Which is the closest to d? (a) l (b) -0.5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in 0.3, -1, 6\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -529350*t - 937717 wrt t?\nAnswer: -529350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + u - 39 = -4*b, 5*b + u = 50. Suppose b*s = 3*s + 48. Let l = 1 + 2. Solve 0 = -l*h + h + s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2\/6 + 179*v\/6 + 416 = 0.\nAnswer: -13, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**3 - 13*q**2 + 20*q + 3. Calculate p(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -505 - -488 - (-5 - (-5 - -49))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49367*d**5 + 6477*d - 3 wrt d?\nAnswer: 987340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 97, 206, 359, 556, 797, 1082?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.01, 0.05, 0.4, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1367880040 to the nearest one million.\nAnswer: -1368000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/17960 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 u when four letters picked without replacement from {a: 10, u: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6*666\/148)\/(3\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**4 + 1190475*b**2 + 1044478 with respect to b.\nAnswer: 8*b**3 + 2380950*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2) + (-5)\/(1 + -6). Suppose -5*w - 24 = -z*o, 4*w + 26 = -2*o + 7*o. Is (-59)\/(-2*o\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 778.5700441 - 3314.1545946. Let t = -2613.58455 - f. Let a = -78 - t. What is a rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = 0, -y - 2*y + 69 = 3*n. Let d = y - 26. What is the derivative of -11*j**2 - 6*j**d - 18*j**2 + 36 wrt j?\nAnswer: -70*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -2, -4, 5, 59, -5, 2 in increasing order.\nAnswer: -5, -4, -2, 2, 5, 31, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**3 - 33*k**2 - k + 29. Let x(y) = -8*y**3 + 31*y**2 + 2*y - 28. Let u(b) = 3*t(b) + 4*x(b). Factor u(i).\nAnswer: -5*(i - 5)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -341, -325, -291, -233, -145, -21, 145?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30315123*m**2 + 227674638.\nAnswer: -60630246*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/33637 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.3 (c) -212 (d) 2\/9 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 4*f + 14. Let i be -5 + (1 - 10) + 8. What is z(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 32*q**3 + 35*q - 62*q + 29*q to g*q**3 + p + a*q**2 + w*q and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 68*n**2 - 150*n - 2120. Determine o(71).\nAnswer: 2353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 11\/72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckc when three letters picked without replacement from {y: 5, c: 5, x: 1, k: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309533422 - 309533422 + 38*p.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 451\/2 - 225. Which is the smallest value? (a) q (b) -3\/7 (c) -3 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**6\/120 - p**5\/30 + 79*p**3\/6 - p**2. Let b(z) = 5*z - 50. Let f be b(10). What is the units digit of x(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-3) - (0 + -1). Let o be (-3)\/6*8\/(-22). Which is the nearest to -0.1? (a) o (b) t (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 10586*s + 10588*s = 30, 5*q - 30 = -s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 111993 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7289 divided by -59472?\nAnswer: -7289\/59472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:50 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3079*k**2 - 2057 wrt k.\nAnswer: 6158*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 186473503 - 186474091.998394. Let s = 589 + k. What is s rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 w, and 1 z when four letters picked without replacement from dowpowoozmzoodo?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*g**4*y - 127*g**4 + g**3*y - 150*g**3 + 27268059*g**2*y wrt g?\nAnswer: 336*g*y - 3048*g + 6*y - 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.27 - 2.4. Let n = h - -0.1. Which is the nearest to 0.1? (a) -0.4 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + l - l - 3*l - l + 0*l - 3*l + l + 0*l - 3*l + (1 + 2 - 5)*(l + 2*l - 2*l))*(-2 + 1 + 2) in the form j + t*l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 = -12*v - 298 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) - (-202)\/5. Suppose 3*b + 9 = -5*a, -b = -4*b - 2*a. Let c be 6 + -4 + b - 0. Solve 0 = -t + 3*t - c*q + 6, -5*q = 4*t - z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88369 (base 10) to base 3.\nAnswer: -11111012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a**2 + 1497*a + 2980. Calculate d(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:56 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 310729 plus -213771?\nAnswer: 96958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 86508 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 the next term in 23, 36, 47, 56?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 3*h**2 + 7*h - 7. Suppose 172*l - 948 = 330*l. What is g(l)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12273530 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39 from 19188.23.\nAnswer: 19149.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1328194330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 14) to base 3\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*p + 2*p**2 + 119 - 219 + 149 wrt p?\nAnswer: 4*p - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 282*c**2 - 6*c. Let x(v) = v**3 - 564*v**2 + 15*v. Give 5*m(a) + 2*x(a).\nAnswer: 2*a**3 + 282*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29788 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(1 - 1 + 3*t**3) + (-3*t**3 + 5*t**3 - 4*t**3)*(-46 + 12 - 76).\nAnswer: 217*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*56.5021\nAnswer: 11.30042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 143 and 0.5.\nAnswer: 71.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8232181 to the nearest integer?\nAnswer: 2869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16786*x**3 - 18554*x**3 + 16310*x**3 - 12768*x**3.\nAnswer: -31798*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10 + (-8 + -22 - (-28 + (-30 - -47)))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8987 - 53801\/6. Find the common denominator of 2\/24*(-170)\/(-25) and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89.4 + 89. Sort 5\/8, 2, s in ascending order.\nAnswer: s, 5\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 17*q**2 - 678*q + 6454. What is i(24)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5739638699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 30*c - 34*c - 3*w, 3*w - 2 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6630 by 26.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12239 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27598, 110390, 248378, 441562, 689942, 993518?\nAnswer: 1352290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.117570608 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30704 (base 11) to base 10.\nAnswer: -44774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, -5, -38, 5\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.611 - 1.711. Let a = 6 + -2. What is the closest to x in a, -3\/7, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:10 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, m: 16}. What is prob of sequence aamm?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32771097*n**4 + n + 25896764.\nAnswer: -393253164*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35919 by 2763.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27033237 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 120280*v\/3.\nAnswer: 2*v*(v + 60140)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30388459 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159*p + 57819 - 64179 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.84 times 3\nAnswer: -5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(q + 0*q - 2*q) + (-3*q + 2*q + 0*q)*(-811 + 1768 - 1714).\nAnswer: 754*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179858, 179856, 179854, 179852?\nAnswer: 179850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19663 + 37544. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 7 = m + 3*z, 4*z + 13 = -3*m. Let o = m - 2. Suppose -18*c + 10*c + 8 = 0. Put c, -3, o in descending order.\nAnswer: c, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, and 1 c when three letters picked without replacement from zjcpcccpl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**4)*(((l*l\/l**8)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000984 rounded to five dps?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 5:42 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140211 + -140170. Let x(l) = 13*l + 2. Let n be x(3). Calculate the highest common factor of n and g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1046 + 4281. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/56 and -149\/14088.\nAnswer: 98616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*l - 12105, 3*l + 946 - 8197 = k. Calculate the greatest common divisor of l and 1365.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 216, 382, 566, 774, 1012?\n\"Answer: z**3 + 3*z**2 + 150*z + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 134585*o + 1479830.\nAnswer: 5*(o + 11)*(o + 26906)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s - 5. Let v(a) = -5*a + 2. Let m(f) = 2*n(f) + 5*v(f). Let o(x) = -5*x**2 + 3*x**2 + 6*x - 6*x. Calculate m(o(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 370\/3. Which is the closest to -2\/3? (a) h (b) 4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.6 (c) 2\/11 (d) 1 (e) -117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**8\/3360 - y**7\/2520 + y**6\/720 - y**5\/120 - y**4\/6 + y. Let u(w) be the third derivative of t(w). Does 9 divide u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 2. Let x be y(-6). Let g(u) = -3*u + 2. Is 14 a factor of g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 173*r**3 + 3 - 4 - 2*r.\nAnswer: -173*r**3 - 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/27 and 3\/(12\/32) - (204850\/14610 - 6)?\nAnswer: 13149","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 981698 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 8*t + 1. Calculate the remainder when (-1144)\/(-260) - (-6)\/(-15) is divided by o(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3*(w**(-1\/10)\/w)\/w)\/(w**3*w**5))\/((w**(-2\/7)*w)**(1\/29))**(-1\/66) assuming w is positive.\nAnswer: w**(-237802\/33495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 + 0.62. Let j = -3 - -3.6. Let b = a - j. What is b rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/587598 and 169\/3828.\nAnswer: 1175196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, i: 4}. What is prob of picking 3 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32764 is divided by 276.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = -14*n + 54 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34133 and 319.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u. Let m(b) be the second derivative of -4*b + 0*b**2 + 0*b**3 + 1\/2*b**4 + 0. Calculate m(l(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 9:30 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 smaller than -26805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + 73. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 126\/(-12) + 0\/2 + 11. Which is the fifth biggest value? (a) 6 (b) 0 (c) -1 (d) 2\/3 (e) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s - 142 = -2*i, 0 = -s + 2. Solve 0 = i*n - 71*n + 25, -4*y - 5*n + 25 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3680124 or -3680125?\nAnswer: -3680124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2644928 and 2022592?\nAnswer: 34384064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/7)*a**(-4)\/a)**(-1\/6) assuming a is positive.\nAnswer: a**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -82, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46207987 divided by 10?\nAnswer: 46207987\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27462656893\/7263157 + -1\/660287. Let a(q) = -11*q**2 - 10*q + 4. Let o be a(-19). Let z = l - o. What is the common denominator of z and -51\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2813 smaller than -2857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 1. Let s be p(1). Let c = -302 - -299. Let m be s + 8\/c + 3. Sort -2\/3, m, 12 in increasing order.\nAnswer: m, -2\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65379\/19075 - 3\/2725. Which is the biggest value? (a) u (b) 0 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.028, -22\/125, 1\/14?\nAnswer: -22\/125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 8:25 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/11 (b) -1\/22 (c) -4 (d) -0.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5305 (base 6) to base 4\nAnswer: -102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k + 7. Let c(a) = -1383*a**2 + 922*a - 6454. Determine -c(z) - 922*r(z).\nAnswer: 461*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039504 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1bb (base 16) to base 3\nAnswer: -121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 28.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 2 + (-53 - -53). Let c(o) = o**3 - 7*o**2 + 3*o - 17. Let q be c(7). Solve 2*n = -5*m - 2*n + 21, -a*m - 11 = -q*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 25. Let k(s) = -3*s**2 + 2*s - 2. Let d be k(2). Let i(t) = -3*t + 1. Calculate the remainder when i(d) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-16)*-71*66\/198)\/(6\/(-24))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -3*q + w - 66, -6*q - 33 = w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001571026925 rounded to seven decimal places?\nAnswer: -0.0000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffaf when four letters picked without replacement from faffa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j**(5\/4)\/j))*j))\/j*j**(-3\/2)*j*j*j**(-1\/2)*(j**(-4)\/j)\/j*(j**2\/j*j)**(-2\/27)\/(j*j**(4\/5)\/j*j\/(j*j**(-5\/2)\/j*j)*j) assuming j is positive.\nAnswer: j**(-6317\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15944710 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100100111011001 (base 2) to base 3.\nAnswer: 2121212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 245655896 or 6?\nAnswer: 245655896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 95330670271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4480 and 1.5.\nAnswer: -6720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4\/(a*a\/((a**(-2)\/a)\/a)))\/(a\/(a**(-1\/3)*a)*a*a**(-2)*a))**(-2\/37) assuming a is positive.\nAnswer: a**(14\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 4*l**2 + 4*l + 3. Let z be 0 - (-6)\/(-9)*3. Calculate t(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r**3 + r**2 + 9*r - 16. Let c(m) = -9*m**3 + 3*m**2 + 10*m - 16. Let d(u) = -5*c(u) + 4*o(u). Suppose -2 = 4*f - 50. Determine d(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, z: 1, a: 1, q: 8, b: 3}. What is prob of picking 2 d and 2 q?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26398 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3\/4 - 114*h**2 + 4177*h\/4 - 930 = 0?\nAnswer: -465, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1) + -2 + -17 + 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 + 8.9. Let q = -15 + b. Let g = 0.1 - 1.1. What is the nearest to 0 in q, g, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6620954 millilitres to litres.\nAnswer: 0.0006620954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44600 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 15*j**3 - 4*j + 13 + 12*j**3 - 2*j to k*j**2 + w*j**3 + d*j + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 26*n - 25.\nAnswer: -(n + 1)*(n + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/693*11*(-14)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1340 - -209a?\nAnswer: 342a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 17578.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 100, 1157, 3174, 6151, 10088, 14985?\n\"Answer: 480*g**2 - 383*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 644474 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1183 and 338.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*p**5 + 0 + 2*p**4 + 0*p + 2\/3*p**2 - 2*p**3.\nAnswer: -2*p**2*(p - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/74 and -5\/94.\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 564932892 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15227 + 15254. Solve 2*r + 26 = 5*z, 5*r - 15*z + j = -12*z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2. Let r be 0 - 1 - (-3 + (-2 - -4)). Let m(p) be the first derivative of r*p**2 + 2\/3*p**3 + 0*p + 3. Give m(i(w)).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/43 + 97\/387. Let l = -7\/18 - y. Let q = -2\/17 - -3\/170. Which is the second smallest value? (a) q (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -570, -1, 4 in decreasing order.\nAnswer: 4, -1, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -307? (a) 1 (b) -0.2 (c) 8\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**7\/70 - o**4\/24 - 3*o**2\/2 + o. Let h(v) be the first derivative of z(v). Find the second derivative of h(j) wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 9086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4256797 kilograms in nanograms?\nAnswer: 425679700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1209034 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002753424218 to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/4 - 36*j**3 + 213*j**2\/2 - 1240*j. Solve t(f) = 0.\nAnswer: 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2. Let f be w(1). Let z be ((-100)\/6)\/(f + (-70)\/36). Is ((-20)\/50)\/(1\/z) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2. Let g(i) = i + 1. Let p(l) = l + 3. Let y(x) = -12*g(x) + 4*p(x). Give t(y(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u**2 + 2*u - 7. Let m(i) = 0*i**2 + i - i**2 + i**2 - 4 - 6*i**2. What is 4*g(b) - 7*m(b)?\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 7 (b) -0.2 (c) 271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2021.\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*z - 15 = 0, 2*z - 5*z = -2*v + 17. Let u be (-6)\/24*4*-16. Suppose 74*a - 76*a = u. Sort -0.2, a, v in descending order.\nAnswer: v, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c + -a?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yilyjiiljyi. Give prob of picking 1 l and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 785*a**2 + 4*a. List the prime factors of m(-1).\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 965 = -5*r, 7*d - 3*d - 983 = r. What is the greatest common divisor of d and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/35))\/f**(-4\/9)*(f**(-1))**(-3\/37))**(-4\/7) assuming f is positive.\nAnswer: f**(-73784\/81585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0*-99\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioi when three letters picked without replacement from {o: 11, i: 6, a: 1}?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 14. Let m(s) = -s**3 + 89*s**2 + 187*s - 91. Let v be m(91). Factor -v + n*u**2 + 364 - 3*u**3.\nAnswer: -3*u**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -177\/8, 1\/2, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 7725\/2, 1\/6, -4.\nAnswer: -4, -0.08, 1\/6, 7725\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 2*f**2 - f - 4. Let h be s(-3). Suppose -3*g + h = -16. Solve l + 3*l - 3*w = 28, -w = -l + g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 34 (b) 24.59 (c) 5 (d) -3\/8 (e) -3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -1135*g**2\/3 + 433571*g\/6 - 191\/6 = 0.\nAnswer: 1\/2270, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 3*m**2 - 1. Let w = -26 - -63. Let n(g) = 36*g**3 - w*g**3 - 3 + 4 - 5*g**2. Give 5*f(u) + 3*n(u).\nAnswer: 2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294 and 4.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*440\/(-2160)*((-513)\/33)\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781917\/4 greater than -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-462)*517\/470?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 5. Let k be m(16). Let f(w) = -16 + k - 11 + 6*w**2. Let s(p) = 3*p**2. Let c(n) = 2*n**2. Let a(r) = 2*c(r) - 2*s(r). Determine a(f(t)).\nAnswer: -72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/(-4) - (-2)\/(-4). Let k be 3\/u - (-21)\/4. Find the third derivative of 2*j**5 - 3*j**k + j**2 - 2*j**2 wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2)*(2 + 2). Let q be (6 + -5)\/(1*-4). What is the nearest to q in h, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/120)\/(((-4256)\/(-114))\/56)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.97 - 1110631071948.\nAnswer: -1110631071948.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.0985mm in meters?\nAnswer: 0.2750985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 2\/7, 7\/30, 1, 0.1 in increasing order.\nAnswer: 0.1, 7\/30, 2\/7, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 divided by -11?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfq when three letters picked without replacement from aazfzzfczzzqzfzfzzz.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 15 = 0, -61*m - 3*b = -66*m + 120. Suppose 0 = 4*d + 381 - 1553. What is the remainder when d is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1100) + (sqrt(1100) - (sqrt(1100)*-2 + -2)) - (sqrt(1100)*-2 + 1 - (sqrt(1100) + sqrt(1100) + 0 + sqrt(1100))*6))**2*-2.\nAnswer: -1267272 - 5760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1167311 to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.143 + 2.707. Let o = 2.687 - j. Round o to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-40)\/12)\/(4\/(-6)). Let b(w) = w**3 + 6*w**2 - w - 2. Let n be b(-6). Suppose m*g - 52 = 2*s + 8, 3*s + 41 = n*g. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + r + 2. Let s be k(0). What are the prime factors of 1*(-1)\/s*(8 + -126)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.4 (c) 326\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 5 + sqrt(110)\/sqrt(10)*-3 + sqrt(11) + (sqrt(132)*-2*2)\/(sqrt(12) - sqrt(300)*-4).\nAnswer: -25*sqrt(11)\/21 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 151860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2077094 is divided by 327.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -19*19\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = 21*u + 147534 + 11214. List the prime factors of u.\nAnswer: 2, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (71673\/(2 + 1))\/(53 + -52) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcs when three letters picked without replacement from qcccmmqmmmqcsm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from lkrwu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 4*n**2 + 2*n - 4. Let k be i(4). Suppose 0 = -k*y + 27 + 5. Calculate the least common multiple of 9 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Let j(q) = -1130*q**2. What is j(g(t))?\nAnswer: -1130*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 17*w + 16. Let o = -139 - -148. List the prime factors of g(o).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u - 15. Suppose 3*q + o = 6*o + 43, 33 = 2*q + o. Calculate the remainder when q is divided by -1 + 15 + -2 + u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/378120 and -77\/134664?\nAnswer: 2121631320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34 * 8303211\nAnswer: -282309174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzizizzzzimji. What is prob of sequence jm?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -9. Let m be (4\/6)\/(o\/12) - 17. Is 9 a factor of (m\/7)\/(1*(-1)\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -120727692575 and -0.1018.\nAnswer: -120727692575.1018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + -1 - (-5 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 8:00 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -37319763\nAnswer: -3731976.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11360 divided by -129?\nAnswer: 11360\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7124, 9412, 11700, 13988?\n\"Answer: 2288*r + 4836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -12*f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3828754 times 0.1\nAnswer: 382875.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:53 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/8))**(-32)*(((d*d\/((d*d*d*d**14*d*d*d*d)\/d)*d)\/d*d)\/d)\/d**14 assuming d is positive.\nAnswer: d**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1463\/3 - 487. Do -12.3 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2 - 3045*w + 3048 = 0.\nAnswer: -1016, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1\/46, -661, 103, -4, 0.4?\nAnswer: -661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*f + 8 = -8, -4*f = -3*a + 17. Suppose -3*k + 4*i + 18 = 6*i, -k = -a*i - 6. Solve -4*z + 8 = 3*x - k*x, -4*z = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o + 95570 + 288280. List the prime factors of o.\nAnswer: 2, 3, 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 7*f**2 - 9*f - 8. Let w be h(-6). Let b = 13 - w. Solve -b*t + 4*t = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17825015*w**3 + 487678*w**2 - 111*w?\nAnswer: 106950090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5408 + -3130. Calculate the highest common factor of i and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000068114 to 7 decimal places.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41\/6 of a minute?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2))\/(8 + -6). Let w(x) = -2*x + s*x**3 - 9*x**2 + x**3 - 6*x - 8. What are the prime factors of w(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 28*g**3 - 4*g**2 + 41*g + 8. Let m(x) = -55*x**3 + 7*x**2 - 83*x - 14. Let r(b) = 4*m(b) + 7*n(b). What is the second derivative of r(u) wrt u?\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81484141 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 173, 383, 695, 1121, 1673, 2363?\nAnswer: 3203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21678958*o + 21678958*o + 23*o**2.\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 25. Which is bigger: i or 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 86*q. Let v(b) = 2494*b. Let u be (2 - 6) + -3 + -79. Let m(s) = u*l(s) + 3*v(s). Let j(r) = -3*r. Determine m(j(g)).\nAnswer: -258*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v + 8 = 0, -3*v = -2*c - 28. Is c less than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 47 - 24 - 44*g + 92*g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 55 + 2\/(-4)*-2. Let o be u\/(-72) - (-2)\/(-9). Suppose -193*h + 173*h - 100 = 0. Which is the second biggest value? (a) -2\/5 (b) o (c) 2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/5)\/(w\/(w*w**(-8)*w*w*w))*(w\/(w\/(w*w*w*((w\/(w**(-4)*w))\/w)\/w*w*w*w)))**27 assuming w is positive.\nAnswer: w**(1053\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*m**6 + m**5 + 1099*m**2?\nAnswer: -4320*m**3 + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 - 28 + 4)*(-22 - 7 + 72 + (-4 + 3 + 3)*(-1 - 1 + 3))*(2*o**2 - 4*o**2 - 2*o**3 + 0 + 1) as p*o**2 + l*o + d*o**3 + w and give w.\nAnswer: -2835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 2*g, 2*q + q = -3*g - 12. What is the remainder when 1138 is divided by 3\/((-365)\/(-670) + q\/12)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from wbuppu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(684) + -5.\nAnswer: -5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16428, 33066, 49704?\n\"Answer: 16638*o - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 equal to -3.52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-9))\/((-1944)\/(-729))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(-15*(-14)\/875).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 33*b**2 + 1030*b + 1196. Calculate f(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.848723 to two dps.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxsssxssssxsoxsxxx. What is prob of sequence sso?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from {j: 3, h: 7, x: 9}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + 472?\nAnswer: 45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.1 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**3 + 3*k**3 + k**3 + (-4*k + 4*k - 2*k**2)*(46*k + 65*k + 40*k) as v*k + r*k**3 + d + m*k**2 and give r.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y + 4*k - 12 = 0, 0 = 5*y + k + 9. Let r be (y + 8 - 2) + -2. Suppose 3*a + 3*f - 849 = 0, 0*a + r*a - 590 = 4*f. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(650)*1*4 + sqrt(650))*-6*3)\/(3*sqrt(512) - (sqrt(32) - (sqrt(3200) - (sqrt(3200)*3 + sqrt(3200))))))**2.\nAnswer: 658125\/1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppi when three letters picked without replacement from pippipipppppppp.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/11 - 93158*q\/11 = 0. Calculate q.\nAnswer: -46579, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-80*n**3 + 109 - 109)*(39*n - 236 - 22*n - 18*n) in the form x*n + w*n**4 + f*n**2 + l + y*n**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (15 - 31) + (1 - (0 + 5))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s + 255. Determine r(19).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005758 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 196444.74 times -0.4\nAnswer: -78577.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 4:41 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*j - 1474 = 142*j - 5*u, j - 5*u = 381. Is 38 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 4. Let i be p(0). Solve -3*q - 2 = -5*q - i*y, -q = 3*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*w - 3*w - 11*w**2 - 292*w**6 - 378*w**6 + 19*w**2 + 10*w**2 wrt w.\nAnswer: -80400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**6\/45 - b**5\/60 - 2*b**3\/3 - 2*b. Let f(u) be the second derivative of i(u). Factor f(q).\nAnswer: 2*q*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 761685 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1664*h + 4. Let v be l(-5). Let y be 3*(-9561)\/v + (-4)\/(-22). Let j = 26\/7 - y. Which is the closest to -1\/2? (a) j (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - r - 10 - 7 = 0, -2*b = 2*r - 16. Let y(f) = 15*f + 4. Is y(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 - -278. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 374*g**2. Let c(q) = -5*q. Calculate c(p(f)).\nAnswer: -1870*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1823 minus 0.1?\nAnswer: -1823.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*h = -8*h + 9, 0 = 3*s + 5*h - 9. What is the remainder when ((-59)\/2)\/(7\/(-84)*s) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + 2 + sqrt(325)*-1 - (-5*(sqrt(325) + -1*(sqrt(325) - sqrt(325)*1) + sqrt(325)))**2.\nAnswer: -32498 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 1288.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*r - 546 = 131*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 205 and 82.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 + 11199*i - 11199*i + 0*i**2. Let n(v) = 12*v + 1. Give n(r(x)).\nAnswer: -48*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1096535\/(-558236) - (-2)\/18*-3*-6\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**2 + 2652*z + 2649 = 0.\nAnswer: -883, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20667 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpvdugn. Give prob of sequence pu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqsq when four letters picked without replacement from sxkqqqs?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 335794, 335775, 335732, 335653, 335526, 335339, 335080?\n\"Answer: -2*l**3 - 5*l + 335801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 60*i**3 - 3*i**2 + 10*i - 11. Let r be h(2). Suppose 0 = -3*w + 5*m + 264, w + 4*w + 4*m = r. Calculate the greatest common divisor of 744 and w.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9 - -43.6. Let y = 42.5 - m. What is the third biggest value in y, -5, -0.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7395?\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213500 and 500.\nAnswer: 213500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -201*p*x + 3*p - 17*x + 1011 wrt x.\nAnswer: -201*p - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtmm when four letters picked without replacement from {t: 1, m: 5, f: 3}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -144*j + 431. What is t(9)?\nAnswer: -865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = 8*a + 72 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (21\/(-6))\/((-3)\/12) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Suppose 2*p + z = 6. Let f = -221 + 224. Solve p*y = 5*l + 10, -l = -f*y + 4 - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 1. Let q = s + 5\/7. What is the biggest value in -4, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3549*q**4\/5 - 40599*q**3\/5 + 17337*q**2\/5 - 1953*q\/5 + 66\/5 = 0.\nAnswer: 1\/13, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/3 + 141 + -3 + 7. Let d = 3 - 3. Suppose -y - 4*b + m = 0, 0*b + 4*b - 20 = d. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486487989 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from ppfffieieeeiee?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-133)\/(-38) - (-75)\/(-6). Sort i, 2, -2.\nAnswer: i, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f - 46. Let b be g(-25). Suppose b*l - 28*l = 141. What are the prime factors of l?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131221318439\/24499705980 + -653118\/125185. Let y = 5\/1041 + q. Calculate the common denominator of y and 37\/20.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 2048.\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 50 = 3*v, -4*v - 16750 = 5*a - 16735 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171900.\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48\/36)\/(-2) - (-3)\/(9\/8). Sort p, 21, -1, 1, -40 in decreasing order.\nAnswer: 21, p, 1, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3150 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/14850 - -1349\/14850. Which is the nearest to 1.8? (a) -1\/5 (b) 0 (c) -4\/19 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*580.3\nAnswer: -580.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7078, 3\/4, -0.5, 3, 1.6.\nAnswer: -7078, -0.5, 3\/4, 1.6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -12*w + 18*w - 38 - w. Determine g(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.315760232 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + (-16 - (-2 + -14)) - -15?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x. Let z be 6\/(-3)*(-1 + x). Find the second derivative of 0*g**4 - 6*g - z*g**4 + 8*g wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.176? (a) 3 (b) 1\/4 (c) 0.0307 (d) 2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 15. What is the biggest value in 0, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -7. Suppose -p = -b*p. Suppose 32 = 2*q - p*q. Calculate the smallest common multiple of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = y. Let m be -1022*(15\/(-36))\/y. Let a = m + -85. Is a < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**4 + 9675*l**2 + 110996*l?\nAnswer: 48*l**2 + 19350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = -5*o + 15, s = 5. Suppose -v = 2*w - 33, -2*v - v = 2*w - 87. Suppose 69*i = 60*i + v. Solve -i*m + f + 1 = 0, -o*f + 25 = -3*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/435 and 68\/27?\nAnswer: 3915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96114.47 kilometers to micrometers.\nAnswer: 96114470000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/k)**(-35))**(1\/60)\/((k\/(k\/k**1*k))\/(k**(2\/7)\/k)*((k*(k**(-1)\/k)\/k)\/k*k)**7) assuming k is positive.\nAnswer: k**(509\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 21*f = 15. Let t be 10*27\/(-18)*1\/f. Let w = 0.4 + 4.6. Which is the second biggest value? (a) -0.7 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/14)\/((s**37*s)\/s) assuming s is positive.\nAnswer: s**(-519\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396841474.\nAnswer: 2, 7, 23, 353, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*s**2 + 28*s**3 + s**4 - 4*s - 13*s**3 - 11*s**3 - s**2 to a + p*s**4 + f*s**3 + k*s + u*s**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (7 - (3 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g + 495 = 219*g. Let r(u) = -u**3 + u**2 + u + 7. Calculate r(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/(9\/(-27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*w + 92*w + 2704 = 0. Let a = 32 + -17. What is the remainder when w is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6863166 and -23\/42.\nAnswer: 48042162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 5*n**2 - 9*n - 12. Let y be i(-6). Solve -6 = y*d - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6262)\/(-31) - 163 - 249\/7?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 84304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from puyypppyu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(2\/35)\/q)\/(q\/q**(-2\/9)))\/((q\/q**0)\/(q\/(q**(1\/2)\/q))) assuming q is positive.\nAnswer: q**(211\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -364 - 13*v**2 + 9*v**2 - 7*v**2 + 13*v**2 - v to s + u*v + z*v**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31482386.\nAnswer: 2, 13, 47, 25763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4409*u + 0 + 7989*u - 4120*u + 0 + 0.\nAnswer: -540*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 8:09 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i*j**4 + 3*i*j - 127*i - 3*j**6 + 530*j**3 + 2*j**2 + 2*j wrt j.\nAnswer: 120*i*j - 360*j**3 + 3180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624) + -5*-2*sqrt(624))\/(-4*(sqrt(48) - sqrt(12))).\nAnswer: -11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 3682\nAnswer: -11046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 6. Let j(b) = 2*b**3 + 7. Let k(s) = -2*j(s) - 3*l(s). Let c(t) be the first derivative of k(t). Let f(h) = -h**2. Calculate f(c(g)).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.5, 28, 55?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 22 = -3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-24))\/(4\/(-6)). Let p = -444\/13 - -34. What is the biggest value in b, -3\/8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 7:31 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 + 22 - 82*i**3 + 20 wrt i.\nAnswer: -246*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 2*w**2 - 29 + w - w**2 - 4*w**2 + 3*w. Give u(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171349?\nAnswer: 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21 - -16 - -16) + -12. Put 2, 5, j, -34 in increasing order.\nAnswer: -34, j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 24*l**3 - 11*l**2 - l - 24. Let y(a) = 8*a**3 - 3*a**2 - a - 9. Calculate 3*p(t) - 8*y(t).\nAnswer: 8*t**3 - 9*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 16 = -10*t + 6*t, 5*z - 12 = -4*t. Let y(p) = -p - 2. Let c be y(-4). What are the prime factors of (12560\/(-28))\/t - c\/7?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-50) + (-234136)\/(-175).\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51008249*v + 32785015.\nAnswer: 51008249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3\/142 (b) -1\/2 (c) -3 (d) 39 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -49*z + 2984. What is r(61)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 327*s + 21997. Calculate q(231).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 6*p + 6. Let h(k) = -2*k**2 - 11*k - 11. Let c(x) = 11*b(x) + 6*h(x). Let s(d) = 5*d. What is c(s(z))?\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 629.8 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -159, -208, -243, -258, -247, -204, -123, 2?\n\"Answer: n**3 + n**2 - 59*n - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 6 = -0*a + 3*a, -5*a + z + 17 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 808?\nAnswer: 808.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5179, -14179, -26961, -43519, -63847, -87939, -115789, -147391?\n\"Answer: a**3 - 1897*a**2 - 3316*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 494 + -254. Suppose 4*c = 9*c - y. Calculate the lowest common multiple of 36 and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4*sqrt(396) + 5)*-5 - (4*sqrt(396) + (sqrt(66) + sqrt(66) + (sqrt(66) - 1*sqrt(66) - sqrt(66) - sqrt(66)) + sqrt(66))\/sqrt(6)))**2.\nAnswer: -4750*sqrt(11) + 99899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 5*l**2 - 6*l + 10. Let g be 2\/(-11) - 96*10\/165. Let f be z(g). Solve -3*n = -5*y + 34, y + 4*y - f = -5*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 344 - 194 = 4*a, -4*w + 312 = 4*a. Calculate the greatest common factor of w and 180.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 3:02 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*6\/196*-4*266\/(-38).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 46da8?\nAnswer: 46dab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of (-33133)\/(-5) + (-187)\/(-55) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z - 16*z + 33*z - 12*z - 15*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/8, -0.5, 4.\nAnswer: -4, -0.5, 3\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j**2 - 7*j - 2. Let f(l) = -17*l**2 + 11*l + 3. Give -5*f(a) - 8*s(a).\nAnswer: -3*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624) + 1*sqrt(624) + sqrt(624))\/sqrt(12) + (sqrt(3328) - (sqrt(3328) + sqrt(3328) + 0 + sqrt(3328))) - (sqrt(520)*2*-2)\/sqrt(10))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 3 (c) -4\/7 (d) -288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.228 + 201.772. Let v = -201.9 + n. What is the nearest to -1 in -0.03, v, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 207*h + 505. Let f be a(61). Do f and 2759 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-360)\/175)\/(-36)*56\/(-8)*-1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -11\/597?\nAnswer: -11\/597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1096485 and 4.\nAnswer: -1096481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 101*v - 29. Let g be y(6). Suppose -11*w + 193 = -g. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(3 - -1 - -189762). Let w = j - 140702. Round w to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116682 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 1585*s**3 + 136*s - 136*s + 7*s**2.\nAnswer: -1585*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 297*h - 289*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-1 + 5)) + 13 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 24*y + 2. Let n(l) = l. Let q(r) = -2*i(r) + 10*n(r). Let v be q(-2). What is the greatest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 3*g + 4. Let n be h(-4). Find the second derivative of -x**2 + 3 - 3 + n*x**2 - 2*x wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (-16)\/(-4) - -4. Suppose -4*a + 9 + k = 0. Solve 0 = a*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 268.716 millilitres?\nAnswer: 0.268716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**3 + 94*v**2 + 29*v - 98. Let i be m(-31). Let n = 48 + -90. Let q = i - n. What is the greatest common factor of 24 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4\/2 - 202*j**3\/3 - 417*j**2 - 630*j - 6677. Solve z(k) = 0.\nAnswer: -3, -1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 4 - 27) + (11 - 3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 = 2*v - 4*l, l = 2. Suppose v = f + 7. Let h be (-2)\/(5 + 2 + f). Which is smaller: h or 2\/21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3965?\nAnswer: 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3573795, 0.1, 2\/21, -2\/13, -2, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 + 384 = 26*w. Solve 5*v + 2*l - 15 = 0, 0 = -w*v - 17*l + 12*l - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1444 - 1751. Is -307 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g + 13 - 40 = 0. Suppose 21 - 1 = 5*z. What is the closest to -3 in g, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*x + 27 = -107*x - 267 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r. Let m = -7 + 16. Let x = m - 6. Let i = 2 - x. Determine h(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.174.\nAnswer: 0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/60 + p**4\/4 - p**3 + 40*p**2 - 5. Let l(a) = -a + 2. Let g be l(-3). Determine h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6776)\/(-132))\/154*-117?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -125252d - 5?\nAnswer: -1252533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p. Let a(d) = d. Let y(b) = 6*a(b) - u(b). Let i be y(0). Let c = 20 + -14. Solve i = -j - j + c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -109. What is the greatest common divisor of j and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821429 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 9*h - 4. Let d be b(4). Suppose -4*c - d = 0, 16 = -m - 0*c - 5*c. Solve -8 - 3 = u + m*p, -4*u - 5*p = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2000 + -978. Let k = p + -1021.3. Sort k, 2\/11, 4 in decreasing order.\nAnswer: 4, k, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d = -t - 168, -2*d = 4*t - 306. List the prime factors of d.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 - 2*t**3 + 0*t**2 - 3*t**2 + 5*t**3 to the form w*t**2 + m*t**3 + p + u*t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4359, -17487, -39415, -70185, -109839, -158419, -215967, -282525?\n\"Answer: -7*i**3 - 4358*i**2 - 5*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167464721897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 4. Let p be x(-6). What is the third derivative of -3*n**5 + 2*n**p - 9 + 9 wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12853705, -25707425, -38561145, -51414865, -64268585, -77122305?\n\"Answer: -12853720*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 + t**3 - 431035226 + 431035245.\nAnswer: 8*t**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1152.4539 months to millennia.\nAnswer: 0.096037825","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -2 + 4)*(-3)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -392276 + 392275.9400014. Let m = r + 0.06. Round m to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-168)\/(-16))\/((-2 - -1)\/(-8)). Suppose 2*k = 2*v + j, 5*v + 6 = 31. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + 19. Suppose 5*t + 59 = 584. Let f = t - c. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-36)\/81 - (1 + 1)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74785164.\nAnswer: 2, 3, 6232097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*k**3 + 4*k - 7*k**3 - 6*k**3 to n*k**2 + u*k + w + y*k**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (13 + -8 + 3 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*p, -12*c - 2 = -16*c + 5*p. Solve 2*b + 0*b + 4*f = -10, -c*b = f - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 2*x - 27. What is the remainder when k(-7) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 977456473*g**3 - 672*g**2 - 321632 wrt g?\nAnswer: 5864738838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9393*p - 2 - 4958*p - 4455*p.\nAnswer: -20*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v - v)*(-8*v + 11*v + 8*v) - 4*v**2 - v**2 + 4*v**2.\nAnswer: -23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34657 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/125752 and 65\/212.\nAnswer: 6664856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.9756914 to three decimal places.\nAnswer: 23.976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z - 1916*z - 54908 = 3772 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -236 - -437. Is (d\/(-9))\/(9\/(-27)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 258*o**2. Let t(m) = 12*m. Calculate z(t(r)).\nAnswer: 37152*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -0.17755, 3 in ascending order.\nAnswer: -5, -0.17755, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11755 - -11754.7. Which is the third smallest value? (a) 2 (b) -3.7 (c) y (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*q - 12 = -4, -2*m + 4*q - 8 = 0. Let u be 2*6\/m - 2. Which is smaller: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2\/15, 2, -1220755, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(119))\/(sqrt(448)*4 + sqrt(448) - sqrt(448)))**2 + -4.\nAnswer: -239\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2274211*s**2 + 28 + 1137101*s**2 + 1137106*s**2.\nAnswer: -4*s**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -102, -105, -108, -111, -114?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*sqrt(143)*2 - sqrt(143)*-2*-1)\/(sqrt(176)\/sqrt(4)*-3) + -2).\nAnswer: -12 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 44*r + 76. Let m(v) = 2*v - 2. Let x(n) = -16*m(n) - 2*q(n). Factor x(c).\nAnswer: 2*(c - 2)*(c + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3643, 7487, 11333, 15181, 19031?\nAnswer: 22883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1166912 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7153 divided by 2\nAnswer: 7153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12901, -2, 1796, 4 in ascending order.\nAnswer: -12901, -2, 4, 5, 1796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1420284 - 56805677\/40. Let f = v + -701\/5. Calculate the common denominator of f and -59\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4883.215 weeks in days?\nAnswer: 34182.505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -146?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (1 + (0 + -9 - -3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*j**3 - 2*g**3*j**2 - 2*g*j**3 + 153257*g*j**2 - 2998*j**3 - 2*j**2 wrt j?\nAnswer: 12*g**3 - 12*g - 17988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 829*k**3*s*y**3 + k**2*s + 4*k*y**2 - 31*s - 4*y**3 wrt k.\nAnswer: 4974*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1562*h - 8516?\nAnswer: 1562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2 + 2132*i + 1541280 = 0.\nAnswer: -494, 1560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 3*s + 5*s - 8*s + (92*s**4 - 25*s**4 - 28*s**4)*(-24 - 17 + 3).\nAnswer: -1483*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 13 - (-233 + 134 - (-12 - 6)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31357064 to the power of 1\/2, to the nearest integer?\nAnswer: 5600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 142396*d + 88. Let w(j) = -9493*j - 6. Calculate 3*u(f) + 44*w(f).\nAnswer: 9496*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b42d (base 16) to base 6.\nAnswer: -553313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.53 - -0.5. Let g = v - 0.37. Let m = -0.7 + 5.7. What is the nearest to -0.1 in -2, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, u: 2, x: 13, o: 2}. What is prob of sequence ioxx?\nAnswer: 13\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.9511 + -10.89. Round n to 3 decimal places.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26\/107 in 9\/2, -0.8, -3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-8) + 6 + -5. What is the closest to d in 0.5, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:33 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/(-7 + (-105)\/(-14)). Let l = -85 + k. Solve -q + l = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 4*q + 5*t, 2*q + 2*t = 6*q - 424. Calculate the lowest common multiple of q and 39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8*-1 - (-1246)\/89)*283 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + g**4 - 1)*(3*g + 7 - 7) - g**5 - 2*g**4 + 2*g**4 + (1 + 1 - 3)*(4*g**5 - 2*g**5 + 0*g**5) + 5*g**5 + g**5 - 5*g**5.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43, 86, 117, 130, 119, 78?\n\"Answer: -m**3 + 50*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412868?\nAnswer: 2, 103217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(28\/(-16)) + 4. What is the second biggest value in v, 2, -27?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 o when four letters picked without replacement from {l: 11, o: 9}.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -3*r + 24, 3*h - 4123 = r - 4147 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*h**3 + 1388 - 3*h**2 - 2936*h**4 + 2934*h**4 + 2*h**2 wrt h.\nAnswer: -48*h + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5070928.01 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 27*q - 50 - 48.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 10*y**2 - 4*y - 25. Suppose 3*k = 17 + 49. What is the smallest common multiple of k and a(9)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 12. Let y(j) = -j + 157. Let u be y(13). Suppose -3*g + 103 + 113 = w, -2*w + u = 2*g. Calculate the greatest common factor of g and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9907 + 9990. Let l be 1 + -1 + 41*-2. Let x = o - l. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 40 = -15*j. Suppose -3*t - j*t = 416. Is -33 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 47*(-6 - -3). Suppose 4*b + b - d = 0. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 44 = -82 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*738\/41?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*y + 4*q - 9 = 0, 0 = -4*y - 3*q + 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 66?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 147\/28 + (-2)\/8. Suppose -38 = -a - h*k, k + k - 26 = -a. Suppose -2*o + 52 = a. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 + 45)*362\/(-1448))\/(6\/20)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303133 - 22222300?\nAnswer: -21313101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 - 377. Let z(x) = -x**2 - 87. Let m(j) = 6*h(j) - 26*z(j). Let g(r) be the first derivative of 121*r**3\/3 + 2. Determine g(m(l)).\nAnswer: 484*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351336 is divided by 6930?\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*d**2 + d + 0*d - 45*d**2 + 2 in the form l*d**2 + y + n*d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 13. Let z be (-1)\/(3\/y - 1). Suppose -2 = -z*f, -s + 5 = s - 5*f. Solve 12 = s*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*40\/32)\/((-2)\/(-4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-2894)\/(-1320) - (-5)\/25. Let l(w) be the third derivative of -j*w**4 + 0*w + 0 + 2*w**2 - 1\/330*w**5 + 0*w**3. Suppose l(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 36005772 = -38994228. Round l to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**6\/360 - 5*q**4\/12 - 13*q. Let o(c) be the third derivative of w(c). Let k(p) = -p**2. Calculate k(o(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875*k = -883*k - 72 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8888 and 10296?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.66211 (b) -0.1 (c) 1\/3 (d) -1\/3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -48. Let a be (u\/(-4) + -1)\/((-12)\/24). Solve -4*x + 5 = a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2 + 4*s - 5*s - 1. Let l = -1250 - -1251. Determine k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 16\/10)*5. Let q = -0.6 + 1. Let z be 2\/5 - 54\/90. What is the nearest to q in -4, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 + 25 = 0. Let t(r) = -r - 10. Let x(d) = d - 1. Let a(w) = z*x(w) + t(w). Let o(h) = -7*h - 6. Give -6*a(p) + 5*o(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 18*x**3 + 4*x**2 - x - 2. Suppose 9*h - 20 = -2. Let n be a(h). Suppose 57 = r - n. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -516, -2\/43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in -0.03, 3, 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**4 + 3*i**3 - 22*i**2 - 3*i + 20. Let s(a) = -3*a**4 - 7*a**3 + 43*a**2 + 7*a - 40. Let g(m) = -7*d(m) - 3*s(m). Solve g(j) = 0 for j.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19028, 38033, 57022, 75995, 94952, 113893?\n\"Answer: -8*x**2 + 19029*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 + -106. Suppose m*x - 4*n - n = 38, -x - 3*n + 36 = 0. What is the greatest common divisor of 63 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 102?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1368)\/76)\/((-63)\/70)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 2212221221?\nAnswer: -2212222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*-2*(sqrt(11)*1 + sqrt(11) - sqrt(11))*-4)**2.\nAnswer: 480*sqrt(11) + 25369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 w when four letters picked without replacement from {w: 9, y: 10, i: 1}.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 9. Let p be (-30)\/z*44\/55. Let q(k) be the second derivative of -k**5\/20 + 7*k**4\/12 - k**3 - k**2 + 2*k. Calculate q(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000486203 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7164364779+-0.12175\nAnswer: -7164364779.12175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqjrlcil. Give prob of picking 1 q and 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/20 - (-23)\/((-5750)\/975). Sort z, -18, 5, -5, 2.\nAnswer: -18, -5, z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 - b - 2. Let p be l(2). Suppose 420 = 4*j - 4*o + 36, -192 = -2*j - 5*o. Calculate the greatest common factor of j and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -385452 divided by 12\nAnswer: -32121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-22) + 456\/(-88). Let g be (2\/3)\/(h\/(-30)). Solve 3*c = -4*k + c + g, 0 = k + 4*c + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 971*a*f**3 + 2*a*f**2 + 363*a - 605868*f**3 - 3 wrt a.\nAnswer: 971*f**3 + 2*f**2 + 363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7721 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1020 divide 9017820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32100\/(-963) - (-33 + 7 + -2).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/11)*d*d*d*d*d**(2\/5)*d*d*d*d)**23 assuming d is positive.\nAnswer: d**(12006\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 238\/10 - 1\/(-5). Calculate the highest common factor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4 - 5 = 0. Solve -41*y - 2*y**3 - 2*y**5 + 31*y + 20*y**2 + 2 + 10*y**4 - 18*y**s = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = 4*i + 72, 43830345*a - 43830350*a = 4*i + 24 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -696, -1045, -1394?\nAnswer: -1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - 52. Let s(t) = 2*t - d - 19*t + 17. Is s(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45.4 - -42. Let r = v - 1.6. What is the biggest value in r, 4\/5, 1\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -5. Let w = 11.3 + r. What is the second smallest value in 0.1, -2, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3878 and 26969551?\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, y: 1, q: 1, n: 1, w: 7}. Give prob of picking 1 y and 1 n.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 5. Let z(q) = 1. Suppose -4*s = -0*s - 5*x + 20, -4*x = -5*s - 16. Let b be s\/3 + (-3)\/(-3). Determine b*o(n) + 4*z(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -700 and -4193\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 68, 4, 5, -11, 0 in increasing order.\nAnswer: -11, -5, 0, 4, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20925 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.8 - 5. Let c = 4.2 + n. Let h = c - 4.00029. Round h to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224313412?\nAnswer: 2, 7, 17, 19, 83, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -b + 89, 76 + 7 = b - a. Let p = -22188 - -22403. What is the greatest common factor of p and b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176.7 - 177.1. What is the nearest to c in -5, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -94, -2, -0.1, 5\/6, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*z - 13*z - 205 = 0. Let k be 1\/(-4) - (-351501)\/4. Suppose 5*w - 260025 = -5*i, -z*i + 3*w + 347860 - k = 0. Round i to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135\/62 - -389\/341. What is the common denominator of (16074\/84)\/19*1\/6 and d?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -205*q**3\/6 + 60*q**2 - 959*q + 2. What is the derivative of h(l) wrt l?\nAnswer: -205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -23 - 5. Let r = 26 + c. Let j be ((-5)\/(30\/16))\/((-6)\/108). Calculate the highest common factor of r and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 4*i**4\/3 + 2*i. Let l(c) = -c**2. Let j(z) = z**2. Suppose -5*u = 33 - 28. Let r(b) = u*j(b) + l(b). Calculate f(r(d)).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 28 = -2*g, g - 20 = -g + b. Let n(z) = 2*z + 42. Suppose 4*p - 6*p = -30. Let r be n(p). Calculate the greatest common factor of g and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/1977 and 97\/378.\nAnswer: 249102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + ((-546)\/(-24))\/7. Which is the nearest to p? (a) -4 (b) -0.1 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47521155.\nAnswer: 3, 5, 11, 288007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 205253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*j - 3*j. Suppose -4*a + j - 4 = 0. What is the smallest common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/275)\/((-672)\/(-1848)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 19 - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4213*c**3 + 553?\nAnswer: 12639*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 + 35 - 33*h)*(h - h - h**3) - 4919*h**3 + 4919*h**3 + 58*h**4 in the form m*h**4 + k + f*h**2 + s*h + a*h**3 and give m.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33\/2 or 16?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/2)\/(3\/15). Suppose -2*f + 20 = -4*q, 3*f - 2*f - q - z = 0. Solve -9 = -f*s - 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 5, w: 9}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 490979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188 + 187.9996842. Round r to 5 dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48665259*t**4 + 1500*t**2 - 524*t - 12 wrt t?\nAnswer: -1167966216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wkwkwwkwkwkww.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224*m**2 + 982*m wrt m.\nAnswer: 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -344 - 5?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 19*h**2 - 5*h**2)*(-2*h + 2*h + 2*h**3) + (4 - 4 + h)*(h**4 + 3*h**4 - 5*h**4) + (h**4 + 3*h**4 - 5*h**4)*(h - 2*h + 3*h).\nAnswer: 31*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3063 * -230\nAnswer: -704490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4267154 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/8 of a kilometer?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9855390 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:38 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10224*j**2 + 15820*j**2 + 3406 + 1544 wrt j.\nAnswer: 11192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 + 73. Is (d - 15\/9) + (-31092)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1790 + 1788. Let p(t) = 3*t**3 - 13*t**2 - 4*t + 7. Let h(z) = -5*z**3 + 20*z**2 + 6*z - 11. Let k(y) = -5*h(y) - 8*p(y). Determine k(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 105 (b) 1\/4 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.366 + 0.152. Let b = -0.087 - r. Let s = -0.543 - b. What is s rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16975 - 16969. Which is the closest to -0.1? (a) d (b) -3\/4 (c) 347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -729540 to the nearest 10000.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 72 = -22*a + 153 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 591029301*x**4 + 1185*x**2 + 6948*x wrt x.\nAnswer: 14184703224*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*a + 32, 0 = -23*t + 22*t + 2*a + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*f**3 - 949 - 983 + 1932.\nAnswer: 501*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 508156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431 divided by 93?\nAnswer: 2431\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 8. Let v = 43 - 47. What is f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(117\/(-708)) - (-630)\/105 - 0.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-28)\/(-4))\/315)*(-2)\/42.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -261b4c (base 16) to base 3.\nAnswer: -11200212201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 1. Let f be a(2). Suppose f*p + 15 = 8*p. What is the tens digit of 2\/p - 12958\/(-95)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925 - 246086*l**2 + 925 - 251926*l**2.\nAnswer: -498012*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 11. Let g be 99*-2*2\/(-4). Suppose -g = -4*w + 3*w. Calculate the greatest common divisor of s and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 3*g + 2. Let o be w(-2). Suppose 4*d - 4*y - 76 + 248 = 0, -o*d = -y + 172. Let a = 94 + d. What is the remainder when a is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*(-144)\/(-588)*(-14)\/(-4). What is the third smallest value in 3\/5, u, -1\/3, -3\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 560*n - 672. What is the units digit of h(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55154, 55148, 55140, 55130, 55118?\nAnswer: 55104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 82192900 to the nearest 100000.\nAnswer: 82200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a**2 + 2*a. Suppose -3*d = 5*p + 5, 2*p + 4*d = 5*p + 32. Let w(n) = -5*n**3 - 11*n**2 + 11*n. Give p*w(j) + 22*q(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -598*j + 695?\nAnswer: -598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - (sqrt(49) + sqrt(196)\/sqrt(4))*-2)\/(4*sqrt(14)\/sqrt(2)).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(105)\/(-3*sqrt(7) - sqrt(7)))\/((sqrt(243) - 1*sqrt(243))*6 + sqrt(243)).\nAnswer: -4 + sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, w: 1, n: 1, k: 1, p: 1}. What is prob of picking 1 p and 1 j?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -17) + 26 + (0 - -2 - -9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 8)*(2 + -18*15\/30 - -16)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 228 or 229?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*z - 8*p + 3*p, 4*p = -z - 6. Suppose 1 = z*x - 5, 4*x = 2*u + 6. Let y = 16 + -11. What is the lowest common multiple of y and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3124848826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465502 is divided by 587?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmwddndrwbmddb. Give prob of picking 1 m, 1 d, and 1 b.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-three quarters of a second?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8 - 4*y**2 + 3*y**2 - y + 10. Let d be a(0). Solve -j - d*j = -3*f, 0 = 4*j + f - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 612\/(-119)*(17\/(-3) - -1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.81 + 1.95. Which is the nearest to 1\/4? (a) -1\/2 (b) -2\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -792666 divided by -29358.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, 1 p, and 1 x when four letters picked without replacement from {p: 4, t: 3, h: 4, x: 3}?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, k: 3, f: 5}. Give prob of picking 1 k and 1 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -1\/3, -454?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (10 + -21 - (-11 + -4)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 249075816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1. Let z = 146 - 147. Let c(n) = -2*n**2 - n - 3. Determine z*c(r) - 4*q(r).\nAnswer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-190)\/(-4) + (-4)\/(-8). Let x = -43 + y. Suppose x*g - 2*p - 11 - 18 = 0, 29 = 2*g + 5*p. What is the remainder when 11 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2096 and 10873.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.36 * 1.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -30 - 18. Suppose f = 3*g - 4*v + 1, -4*v = g - 9. Suppose 4*t - 5*h - 499 = 0, -g*t - 2*h - 418 = -1017. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1793 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 15 - 13*s)*(s**2 + 3*s**2 + 2*s**2) to f*s**2 + q*s + v*s**3 + x and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)*j)\/j**(-1)*(j*j**(-7))\/(((j*(j\/(((((j\/j**(-14))\/j*j)\/j*j)\/j)\/j))\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(78) - 1*sqrt(78)))\/(sqrt(24)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i**2 + i - 1. Let d(l) = l**3 + l**2 - 75*l - 3. Let n(h) = -2*h**2 + 102*h + 3. Let j(p) = -4*d(p) - 3*n(p). Determine 2*j(o) + 6*y(o).\nAnswer: -2*o**3 - 2*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -42. Suppose -1 = -z*j + 7. Sort -4, 4, j.\nAnswer: -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - 24*l + 30. Suppose -2*c = 4*r - 0*c + 2, 5*c + 5 = -2*r. Suppose r = l*h - 4*h - 78. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8101490.0005 - -111?\nAnswer: -8101379.0005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 425 = 162 + 200 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, -13, 1, 1\/11, -1, 3 in decreasing order.\nAnswer: 3, 1, 0.14, 1\/11, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s - 83. Let a be w(11). Let n(x) = -2*x + 4*x**2 + 8*x + 7*x**2. Let k(g) = -4*g**2 - 2*g. Determine a*k(f) - 6*n(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 50 = 13*a. Suppose -5*n = -a*n + 10. Suppose 2*y = l - 11, 29 = 4*l + y - 6*y. Calculate the highest common divisor of n and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28537632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31329, 64073, 96817, 129561?\nAnswer: 162305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 + 14508*b - 14508*b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1371 + -840. Is 61 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83998789.\nAnswer: 7, 1714261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*b**4 + 5*b**3 + 6*b + 35*b**4 - 98*b**4 + 1 + 35*b**4 - 20*b**2 - 4*b as x*b**4 + s + d*b + y*b**2 + g*b**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36763*0.2.\nAnswer: 7352.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 - 55*q**2 + 47 + 55*q**2.\nAnswer: -5*q**3 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50\/13*s**2 + 2\/13*s**3 - 240\/13 + 212\/13*s.\nAnswer: 2*(s - 20)*(s - 3)*(s - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 516*y - 14 - 1451*y - 473*y)*(6 + 2 - 3).\nAnswer: -12200*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (6 + (-13 + -2 + 7 - 7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, 3, -2, -749 in decreasing order.\nAnswer: 3, 2, -2, -3, -4, -749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 33916*z**2 + 3*z - 1. Let h be c(-4). Suppose 1117357 = -i - h. What is i rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49214339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41427217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*u - 30, 4*u - 17 + 2 = m. Let f(i) be the first derivative of 1\/5*i**m + 0*i + 2 + 0*i**3 + 1\/4*i**4 + 0*i**2. Solve f(x) = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 + 28610*n = 0.\nAnswer: -5722, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/6 - 19297*n**3\/6 + 21790473*n**2 - 58135429170*n + 43047487391508.\nAnswer: (n - 6042)**3*(n - 1171)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-459)\/1)\/((-48)\/128). Suppose 0 = -13*y + y + n. What is the greatest common divisor of y and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftfftztzf. Give prob of sequence ffz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5712*u + 4*p = -5708*u - 140, 172 = -4*u - 4*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23, 65, 117, 173, 227, 273?\n\"Answer: -n**3 + 11*n**2 + 16*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2705*j**2 - 2881*j. Let o(w) = 2705*w**2 + 2879*w. Let x(l) = -5*o(l) - 4*s(l). Find the second derivative of x(t) wrt t.\nAnswer: -5410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*s - 1)*(-4*s**3 + s**3 + 5*s**3) - s**4 - 2 + 2 + 2*s**4 - 1 + 1 - s**4 + 2*s**4 - 3*s**4 + 187*s**4 - 380*s**4 + 138*s**4.\nAnswer: -60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 47561 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*2 - 2\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064.7 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzxtqexxxxxzdtxex. What is prob of sequence ez?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2\/5*k - 2\/5*k**3 + 1\/5*k**2 + 0 - 1\/5*k**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.8715 decades in centuries?\nAnswer: 41.58715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64506185 + 160026185. Suppose 21*i - 33*i = -z. Round i to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112989899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -16587722 = -16587722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -22700*j + 49. List the prime factors of v(-1).\nAnswer: 3, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 7*o + 3. Let v be c(-4). Let b be (102\/v)\/(4\/(-6)). Let q = b - -18. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/15 - (-5)\/((-100)\/(-4252))?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1013377, 1013370, 1013351, 1013314, 1013253, 1013162, 1013035, 1012866?\n\"Answer: -k**3 + 1013378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 30*w - 13. Let k be j(21). Let f = k - 464. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 6*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*x + 2*x - 4)*(704*x**2 + 2540 - 2540)*(-10*x**2 - 6 + 6).\nAnswer: 14080*x**5 + 7040*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:15 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15.62156 millennia?\nAnswer: 15621.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 8. Let l = 14 - 9. Let y = -5 + l. Which is the nearest to y? (a) p (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 2 - 1\/20*x**5 - 66*x + 0*x**2 + 1\/12*x**4 + 5\/6*x**3. What is c(4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 - 132056*r + 1848776\/7.\nAnswer: 2*(r - 462194)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -t - 16 + 6, 5*q = 4*t + 19. Let o(k) = 3*k**2 - 4*k + 4. Let y(x) = -38*x + 93. Calculate the remainder when y(0) is divided by o(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/5)\/((-4)\/(-10)). Suppose 3*v + 1 = g*w - 21, w = 5*v + 25. Let i = v + 5. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 3*o - 32383*o**2 - 9*o + 4 + 32375*o**2.\nAnswer: -8*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b = -99*b + 1644 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*f + 67 - 78 - 111*f - 4*f**2.\nAnswer: -4*f**2 - 69*f - 11","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let y(x) = -21*x**2. Calculate z(y(w)).\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47 and -5?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15.451241+-0.09\nAnswer: -15.541241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 + 31 = -63*k + 131 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126256760 * -0.2.\nAnswer: -25251352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-18)*(-2778)\/28. Let m = -132 + k. Which is the smallest value? (a) m (b) -5 (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 7*k**2 + 6*k + 16. Let l be a(8). Suppose -5 = -2*f - 5*h + 8, 4*f + 5*h - 11 = l. Is (3 - (-3833)\/(-1))\/f + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6440040 a multiple of 1068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (167 + -43)\/(6 + ((-16)\/8)\/1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58660\/73325 + (0 - (-442)\/10)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*s - 13 = -4*s, 2*q + 3*s + 3 = 0. Put 2, -1, q, 2\/9 in descending order.\nAnswer: 2, 2\/9, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 5*n + 1. Let d be u(-5). Suppose -11 = -4*m + d. Solve -5 = -s - m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/9 + (-300)\/(-18). Let j = -11 - -29. Suppose r = 2*o + 4*y - 8, -o + 3*y = -j. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-10))\/1*(-39)\/(1404\/(-150))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0*s**3 + s**3 - 5*s + 4*s**2 + 0*s**2 + 4 + 0*s. Let h be x(-5). Let y(p) = p**2 + 11*p - 9. Let u be y(-12). Sort u, h, -4.\nAnswer: -4, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41160394829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-6))\/((-29)\/(1218\/(-56)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16490.5 - -16491. Which is the second biggest value? (a) 1\/46 (b) p (c) 217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 + -0.14. Let k = -389 + 389.237. Let g = k + y. Round g to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 64185, 128369, 192555, 256743, 320933, 385125?\n\"Answer: o**2 + 64181*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 1. Let t be y(-1). Suppose t*b - 16 = 8. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -266 - -60?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35601 + 8979*g + 17803 + 17798.\nAnswer: 8979*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37260.9cm?\nAnswer: 372609000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -1. Let r be (-6)\/(-4)*48\/(-168). Let i be ((-8)\/(-8))\/(1\/(-2)). What is the nearest to r in -0.5, i, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 111001?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + 3 + -1 + -68 + 74?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 2*l = -18, -34*l - l + 36*l - 9 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/8? (a) -0.16 (b) -0.1 (c) 226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 30*h. Let b(x) = 2352 - 2352 + 6337*x - 6338*x. Suppose 3*a + 5 + 0 = -5*w, -2 = 2*w + 4*a. Give w*n(d) - 20*b(d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5004 by -1251.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 4:39 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467766569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*c**3 - 139695*c + 139695*c.\nAnswer: -70*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1902.8 - -1903. What is the nearest to 1 in -1\/7, x, -6, -0.14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**3\/6 - x**2\/2 + 4182*x. Suppose -2*p + 3 = 1. Give m(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 0 + -6 + -19. Let k = -4 - o. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-2) + 67\/134. Solve -5*c - 7 = -2, -2*v - o*c = 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iifiiiififitiiiii. Give prob of sequence ii.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 - -181. Differentiate 28*k**2 - 20 - b - 6 - 37*k**2 wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 7:23 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-58)\/(-4))\/(1\/14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105250 and 28345930?\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 u when three letters picked without replacement from {k: 11, u: 5}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.019 - -25.019. Let g = 25.038 - x. Let s = -0.338 + g. What is the closest to 1 in 2, -5, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2 + 3.156. Let z = s - -3.044. Let l = 11\/72 + -1\/36. Which is the biggest value? (a) -6 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**5 + 11*s - 4*s - 3*s**5 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/7)*x**25*x assuming x is positive.\nAnswer: x**(178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-521*r + 311*r - 486*r)*(2*r + 4 - 5 + 3).\nAnswer: -1392*r**2 - 1392*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 29709*-68\nAnswer: -2020212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 140 = -26. Let q = -87190 - -87228. Calculate the remainder when u is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is -120 divided by 20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2661563290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 20 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 18, 1\/17, -1, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 13. Suppose 437 = k*y - 3*g, 0 = 2*y - g - 4*g - 443. Let q = -147 + y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -2*i + i - 3, 3*v - 3 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -97, -111, -127, -151, -189, -247, -331, -447?\n\"Answer: -b**3 + 5*b**2 - 22*b - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r + 19. Suppose -9*j + 72 = -13*j. Let d be f(j). Let p = d + 49. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 31*k**2 - 63*k - 2802. Give d(-30).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1664) - -2*sqrt(1664)))\/((sqrt(24)\/sqrt(2)*-4)\/sqrt(6)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -34*h + 69*h - 32*h. Let o(p) = p. Calculate f(o(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j - 2872 - 534 = -6649 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 237. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 9. Suppose -4*l + 2 + 2 = 2*w, l - 3*w - 8 = t. Solve -5 = 3*k + l*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2) + 21\/72*4.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12563 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 517*i - 491*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1353)\/(-231)*7?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3940728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 5 - 2. Let p(i) = -i - 7. Let c be p(v). Suppose c = -2*t + 96 - 1896. Round t to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*sqrt(567)*-2)**2 - (4 + ((-3*sqrt(175))**2 - sqrt(175)))*-5.\nAnswer: -53341 - 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06907378 + 3566282.06907378. Let p = m - 3566289.999588. Let z = 8 + p. Round z to 5 dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -154 and -1.58.\nAnswer: 243.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/35*(-105)\/6. Sort -5, m, 3 in decreasing order.\nAnswer: 3, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32\/7 - -174\/35. Let p = 589\/965 + -2\/193. Which is the closest to u? (a) 0.1 (b) p (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.338610281 + -3.338610611. Let n = 3 - 6. Let t = h - n. What is t rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - 2*d)*(-52 + 75 - 52)*(24 + 22 + 7 - 4).\nAnswer: 2842*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1033076, -1033075, -1033064, -1033037, -1032988, -1032911?\nAnswer: -1032800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:15 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, 195, 0.8 in decreasing order.\nAnswer: 195, 0.8, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q - 105. Let c be (-196)\/(-7) + (-2 - -2) + 0. Let b be s(c). Solve 0 = -8*o + b*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -37*k + 1268. What is the tens digit of r(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 + 0.17. Let n = -16\/15 + 2\/5. Which is the nearest to n? (a) -1 (b) -2\/13 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*i, -229*q + 5*i = -232*q + 2365. What is the highest common factor of q and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s**3 - s**2 - 4. Let h be n(2). Let b = h + 199. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019527516 rounded to five decimal places?\nAnswer: 0.00195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 = 6, 0 = 5*f - 5*y - 10. Suppose -5*k + f*k + 1 = 0. Solve 3*w - 11 = m - k, 8 = -2*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from eetteetttbtetteette.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16254 divided by -5?\nAnswer: -16254\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Let r be v(-4). What is the second derivative of 0*j**3 + 2*j**3 + r*j - 5*j - 4*j wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0211 and 62.\nAnswer: 62.0211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(1 - -14) + 4353\/15. Suppose 0 = -12*w + x + 1018. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6118\/1307 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuxhyhuyhxxyxuur. Give prob of sequence hu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from kqjkgkggggqkqgggggg.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.85529 litres to millilitres.\nAnswer: 56855.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 4:35 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -15*v**4 - 399*v**3 + 612*v**2 + 660*v - 336 = 0.\nAnswer: -28, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -68*r**3 - 4*r**2 - 5*r - 5. What is the smallest common multiple of y(-1) and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 1, k: 1}. What is prob of sequence kg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23728 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, 44, 199, 502, 1001, 1744, 2779, 4154?\n\"Answer: 8*m**3 + 2*m**2 - 7*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 1\/3*a**3 - 3*a + 4 + 2*a**2. What is the tens digit of t(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 5.9. Let y = 7 - l. Which is smaller: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l - 10. Does 7 divide 504\/45 - (-1)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 6*s**2 + 4*s - 5. Suppose -g = -6 + 2. Let k(r) = -r + 7. Let q be k(7). Suppose 2*j - j + g = q. Give d(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4417*j + 5. Let h be c(-3). Let x = 278041\/21 + h. Let l = 45\/14 - x. Calculate the common denominator of l and -127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -2728158?\nAnswer: 2728167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -50081*h + 50085*h + 28, 0 = -h - l - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -674628 by 6.\nAnswer: -112438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.03 (b) 1 (c) -615\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 l when three letters picked without replacement from {q: 2, o: 3, l: 5}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1148 - -0.2148. Which is the closest to r? (a) 0.4 (b) 2 (c) -0.1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008199 to seven dps.\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*w + 15, 5*w - w - 26 = 2*k. Let f(s) = -4 - w*s + 4. Let a(n) = -151*n**2 + 291*n**2 - 142*n**2. Give f(a(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (2 - 1) - 24\/8. Suppose -2*s + 3 + 8 = l, p = l - 3*s + 4. Let b(f) = 600*f**2 - 5*f + 25. Let g be b(l). Round g to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*y - 87*y - 3. What is the highest common divisor of 9 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 10:26 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i - 5*q, 0*i + 4*i - 26 = 5*q. Let a = i + -6. Suppose -4*p - 3*v + 15 = -248, a*p + v = 196. Calculate the remainder when p is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -464 - -495. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 3}. What is prob of sequence coc?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -4203312141?\nAnswer: -4203312142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4 = -4*z, -3*u - 38 = -12*z + 11*z + 3*z + 8*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 + -182. Let y = 0 - 33. Let m = h - y. Is m less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -4, 0.4, 6, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Solve -2*d - 6*a = -n*a - 15, 0 = -5*d + 5*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16\/15 (b) 0.4 (c) 2 (d) 0.1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28127, 117070, 265317, 472874, 739747, 1065942, 1451465?\n\"Answer: f**3 + 29646*f**2 - 2*f - 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -125, -25, 4, 5, -4.\nAnswer: -125, -25, -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 575980 and 434.\nAnswer: 4031860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5209 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(64) + sqrt(64)*-3)\/sqrt(8))**2.\nAnswer: 16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45362 is divided by 215.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 140 = -223. Suppose -24*x + 25*x - 5 = 0. Suppose -49 = -5*i - 5*r + 6, -4*i + 44 = -x*r. Calculate the greatest common factor of i and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 3*n**2 - 3*n + 5. Let h be j(4). Suppose -3*y = -2*y - 5. Let p = h - y. Solve 5*u + 8*w + 5 = 3*w, -p*u + 3*w = 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-3)*(-2)\/1. Let y be ((120\/25)\/k)\/((-4)\/(-10)). Suppose -4*a = 20, 2*a = y*n - a - 629. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695455356.\nAnswer: 2, 3, 997, 58129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4299 + 6399. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -8. Let p be (-15 + 10)\/(1\/(-1)). Let t be (12\/5)\/(2\/p). Put a, 0, t in descending order.\nAnswer: t, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2 + 519*i + 731.\nAnswer: 2*i + 519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (0 + sqrt(252) + -3 - (1 + (sqrt(252) - 1*sqrt(252))))**2) + -4.\nAnswer: -48*sqrt(7) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -92143004, -92143002, -92143000?\n\"Answer: 2*u - 92143006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -48*w + 46*w. Let s be 2\/8 + (-282)\/8. Let r = -19 - s. Calculate the smallest common multiple of w and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(26\/(-1716)*-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*t - 2*t = -38, -2*v + t = -10. Suppose 3*o = 3*k + 528, -4*k + 714 = 4*o - v*k. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/((-9)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 37. Let o(d) = 5*d**2 - 5*d + 5. List the prime factors of o(x).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 5*c - 85. What is h(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, h: 1, f: 1, c: 8, z: 1, q: 1}. What is prob of sequence zf?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7.14. Let g = v + -0.16. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/13 - -4)\/(-2). What is the closest to 1\/4 in s, 0, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 74 = -4*y, -3*y + q = -8*y + 97. Calculate the lowest common multiple of 18 and (-1)\/(-1) + y + -5 + 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert afa (base 16) to base 9.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2099, 4.\nAnswer: -2099, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/100737 and 5\/117?\nAnswer: 100737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-12)*(-2 - 1). Let l(p) = p**3 + 7*p**2 - 5. Let t be l(-7). Suppose 2*a + 4*o - 1 = -9, -2*o + 8 = -2*a. Sort m, a, t in decreasing order.\nAnswer: m, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 3:41 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50\/43 + -169\/774. Let o = 9329\/3514 - 3\/251. Find the common denominator of o and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498036105 to the power of 1\/2, to the nearest integer?\nAnswer: 22317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (747 + 0*n**2 - 2*n**2 - 763)*(-2*n - n + 4*n) to h*n**2 + a*n**3 + x*n + u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 54*b**2 - 41*b**2)*(-30*b + 13*b + 4*b).\nAnswer: -169*b**3 + 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5528214947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from lolsoanowaaoaas?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 5*o**2 - 3*o + 3. Let q(f) = -3*f**3 - 5*f - 2*f + 2*f + 5 - 9*f**2. Let h(y) = 3*q(y) - 5*r(y). Factor h(d).\nAnswer: d**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24816*m**3 + 12*m**2 + 15*m - 5 wrt m.\nAnswer: 148896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -878, -1749, -2660, -3611, -4602, -5633?\nAnswer: -6704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 17. Let g be o(7). Solve -3*w + 8 = 5*r, r + g = 5*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 0 + 1 + -10 + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -525.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n + 6 = 25*n. Let b be (422\/n - 1) + 17\/51. What is the greatest common divisor of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27912 and 4464?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4991 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k**2 + 2*k - 13. Let j(s) = 2*s**3 + 15*s**2 + 4*s + 5. Let p(l) = -j(l) + 2*r(l). Let b(d) = d**3 + 3*d**2 + 8. Calculate 26*b(y) + 6*p(y).\nAnswer: 2*y**3 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 4*c**2 + 3*c**2 - 6*c**2 + (c + 4 - 4)*(-3*c + 3*c - 2*c) + 3 - 3 - c**2.\nAnswer: -2*c**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 - 14*n + 2. Let d be j(-4). What is the highest common divisor of 44 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 30) + (269 - 295) + 32\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 26*i - 17. Let h be b(-24). Let g = h - 31. Solve -3*t + 5*v - 37 = 0, -v + 1 + 4 = g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + u - 7 = 0, 0*u - 2*u = -4. Let n be 0\/q*(-3)\/9. Which is the closest to n? (a) 0.5 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:02 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1f466 (base 16) to base 14\nAnswer: -34982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25903153 - -118455119224\/4573. Let h = y - 1\/269. What is the closest to 0.3 in -0.3, h, -1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3410429.1143 from 0.4.\nAnswer: -3410428.7143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-39)\/6)*(-2)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b - 1. Let k(l) = -21*l - 149. What is k(q) - 3*s(q)?\nAnswer: -3*q - 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 + 8 - 18*v**3 + 4*v**3.\nAnswer: -14*v**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 2*i - 2. Let a(j) = j**3 - 13*j**2 + 12*j - 4. Let b be a(12). What is c(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.5 - 7. Let f(g) be the third derivative of -g**4\/12 - 5*g**3\/3 + 4*g**2. Let m be f(-6). Which is the nearest to m? (a) -0.4 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, 0.16.\nAnswer: -25, 0.16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.3 + -12.2. Which is greater: a or -49?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73814 = -3*y - 2*b, -5*y - b + 63191 = -59844. What are the prime factors of y?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -978*o - 2 + 1097*o + 2.\nAnswer: 119*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2556, -2557, -2556, -2553?\nAnswer: -2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a gram in milligrams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2 - 6 + 3 + 5*l - 5*l**2 + l**3. Suppose -5*r + 13*r = 24. Suppose -t = -2*c + 7, -5*c - 2*t + 25 = r. What is w(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*h**2*m + 3*a*h*m*y + 1040*a*h*y - 3*h**2*m*y + h**2*m - h**2 + h*m - 3*y wrt a.\nAnswer: 2*h**2*m + 3*h*m*y + 1040*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4810833.4 to the nearest 100000.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -473, -509, -543, -575, -605, -633?\n\"Answer: n**2 - 39*n - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 0 - 25) + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 818013.\nAnswer: 5726091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + a - 7*a + a - 3*a + 4*a + a + 0 + 0 + (5 + 1 - 4)*(0 + a + 0) - 2 + 2*a + 2 + (2 - 2 - 3*a)*(2 - 3 + 3).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 74946178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -3. Suppose 0 = -t + 2*t - z. Suppose -2*y + 2*d - 112 = -t*y, -2*y = d - 74. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3838000 rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373897, -747791, -1121685, -1495579?\nAnswer: -1869473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 5424?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3013453 kilometers?\nAnswer: 301345.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/((-2255)\/(-123))*(-3)\/(-4).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -36. Suppose 5*c + 2054 = -n, 31*n = -4*c + 33*n - 1632. Let j = -372 - c. What is the remainder when j is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6541788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -3\/5, 12395465 in ascending order.\nAnswer: -3\/5, -1\/4, 12395465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(17) + (2 + sqrt(17))*4 - sqrt(17))**2 - sqrt(17)) + 2 + ((sqrt(17) - sqrt(85)\/sqrt(5)) + sqrt(17) - sqrt(17))**2.\nAnswer: 63*sqrt(17) + 333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34901 and 149869.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -n + 20, 4*n + 4*h - 11 = -3. Which is the nearest to -1\/4? (a) -2 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -4, -60, -187, 0.5, -1.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/41838 and -101\/33030?\nAnswer: 627570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1 + 1 + 3*j - 2*j. Let r be x(6). Let m be 20\/(-15)*(-27)\/r. Which is bigger: m or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 768503\nAnswer: 5\/768503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 11*u**2 - 3*u - 121. Let s be c(-10). Let z(m) = -3*m + 34. Determine z(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009598349 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 48*k + 414. Let f be l(-7). What is the greatest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.32 - -0.02. Let g(z) = -z**3 + 12*z**2 + z - 10. Let m be g(12). Suppose 5 = m*c - n, 0 = -2*n - 10. What is the third biggest value in i, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1. Let i(w) = -w**2 - 2. Give i(b) + 2*m(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose -7*o + 216 = 18*o - o. Solve -3 = -k*a - o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 101, 224, 397, 620?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3091 + 3099 - (-55 + -2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - -11. What is the common denominator of -131\/12 and (183\/n - 1) + -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(272) - sqrt(272)*-1)*-2)**2.\nAnswer: 69632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, f: 13}. What is prob of sequence xfxx?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 7, h: 5, z: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -15 + 49 - 2*b - 25. Let y = -114 + 118. Give k(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -632664 (base 7) to base 2.\nAnswer: -11010101000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, p: 6, u: 1, m: 1}. What is prob of picking 2 p and 1 u?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2. Suppose 0 = 7*h - 7 - 7. Let f(t) = 4*t + 3. Let d(y) = h*o(y) + f(y). Give d(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 - 5*z**2 - 14*z + 8. Let a(l) = -l**3 - 2*l**2 - 5*l + 3. Let g be 35\/(-5)*(-12)\/21 - 12. Determine g*a(u) + 3*x(u).\nAnswer: -u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24689947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2234, 1.6, -1, 0.4, 0.2, -0.4, -2\/15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/6, 2\/9, 5, 1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 1, z: 1, n: 2, q: 2, y: 2}. What is prob of sequence hz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 708\/1745 + -2\/349. What is the closest to 0.1 in -3, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from orrrrorrr?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**5 + 4626*x**3 - 7*x**2 + 8*x + 8 wrt x.\nAnswer: -60*x**2 + 27756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d28 (base 14) to base 12.\nAnswer: -15b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*18\/40)\/((-234)\/624)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 2. Let v(b) be the third derivative of b**4\/24 - b**3\/6 - 2*b**2. Suppose -9*u + 2*u = 14. Suppose 0 = 4*l + 25 - 5. What is l*v(y) + u*o(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 528033211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 6 - 26. Suppose -m + 2*w + 270 = -0*m, -3*w = -f*m + 1100. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o - 32. Let v(u) = 8*u - 20. Let a(z) = 2*z - 5. Let n(y) = -9*a(y) + 2*v(y). Is n(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x - 64 = -22*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652 (base 8) to base 4.\nAnswer: -12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 20 = -4*s, 5*s - 6*s = -5. Suppose 0 = -b - o*b. What is the least common multiple of (-1 + b)*(5 - 11) and 17?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + a5603?\nAnswer: a5600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 86. Let o(v) = 5*v + 4. Let a be o(d). Suppose 2*i = -2*i - a. Are -2\/9 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 3, 750, -3 in decreasing order.\nAnswer: 750, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4\/7 + 3870*r**3\/7 + 15399*r**2\/7 - 6060*r + 23148\/7 = 0. What is r?\nAnswer: -1286, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318276 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 25 + (19 - 7 - 7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.621 - -2.433. Let h = 8 - m. What is h rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = h + 3. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 8. Let q(l) = l. Let g(c) = -c**2 - 3*c. Let i(v) = k*q(v) + 2*g(v). Factor i(j).\nAnswer: -2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139591135 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 106447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -146997 divided by -1010\nAnswer: 146997\/1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 700440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 647 + 268 = 5*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -14 + 37 - 10*f - 3*f**2 + 2*f**2 - 20. Let v be d(-10). Is -2 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5, 116*c - 112*c - 216335 = -5*h. Is c a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-6)*a)\/((a**(-5)\/a)\/a*a))\/(a*a\/(a\/(a**(-1\/4)*a))*a)**(-37))**(1\/7))**34 assuming a is positive.\nAnswer: a**(7055\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 539813*o**2 + 539856*o**2 + 158*o - 158*o.\nAnswer: 43*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:45 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -3*v**4\/2 + 2*v**3 - 21*v. What is the second derivative of r(p) wrt p?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 8:15 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/45)\/(10\/(-15)))\/(572\/(-11) + 10)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -28.358, 5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l - 3. Let a(c) = 23*c - 11. Let y(v) = 21*v + 21 - 49*v - 18*v. Let n = 46 - 43. Let w(s) = n*y(s) + 5*a(s). Calculate -17*r(o) - 6*w(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 28)*(2 - (-1 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 1\/8, 4\/95, -21, 33, -2?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9057 = -57*j + 7048 - 4135. Calculate the greatest common factor of j and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3749273 and 5112645.\nAnswer: 56239095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 20 = s. Suppose 2*k - 42 = -s*y, -k = 4*y - y - 25. Solve k = -2*x + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37.3 + -37.217. What is c rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)\/x*(x*x**7)\/x)\/(x**(1\/6)*x*x*x**(2\/17)))**37 assuming x is positive.\nAnswer: x**(-4847\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*k + 2698472 = 967722. Let z be (-25)\/(k\/1060) + 8\/(-14). Are z and 6\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a16 (base 11) in base 10?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 - 939*o\/2 + 220255 = 0. Calculate o.\nAnswer: -1519\/2, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2175000*p + 3. Let k(m) = -231274275000*m - 319000. Let s(v) = -6*k(v) - 638000*r(v). Let z be s(-1). What is z rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/212122 and -47\/4749.\nAnswer: 636366","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -47\/14, 2\/7, 8?\nAnswer: -47\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 15. What is h(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.476 - 2.376. What is the second smallest value in -0.4, m, 2\/109?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - i. Let l = -17 + 18. Calculate w(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218526087413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {q: 1, c: 1, e: 1, t: 2, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 5*g + 38. Let v = 40 + g. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by -1\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*p + 6*y, -y - 15 = -4*p. Suppose 5*l + p*h = 64, -2*l = 3*h - 2*h - 25. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - f + 3. Let l be z(0). Suppose -5*t = -l*p - 26, 3*t - 2*p - 22 = 3*p. Suppose t*u = -0*u + 40. Solve 3*s + u = -2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from nnnnnrnnnnnynnrrnynn.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 6*d - 7. Let l be p(6). Let c = l - -8. Sort c, 5, -3\/2 in descending order.\nAnswer: 5, c, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 - 8*x + 17. Let d(j) = 2*j**2 + 3*j - 6. Let k = 35 + -43. What is k*d(z) - 3*a(z)?\nAnswer: -z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 319 = 3*r - 321, 5*r - 630 = -5*s. Let u = 241 - s. Suppose 4*h + u = 386. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -14. Suppose 5*a = -b + 33, -2*b + 18 = -d*b - 2*a. Suppose -b*g + 771 = -386. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f. Let q(c) = 6*c**2 + 4. Let k(y) = y**2 + 1. Let w(z) = -z**3 - z**2 + 3*z + 3. Let i be w(-2). Let m(g) = i*q(g) - 4*k(g). Calculate m(x(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3\/13 (b) 19 (c) 0.5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*c + 9*c**3 - 33*c + (0*c**3 - c**3 + 3*c**3)*(-3 - 2 + 4).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1220\/(-151585)*7\/2?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + l = -9, -3*l = -n + 21 - 4. Suppose -3*v = 3*r - 9, n*r = -7*v + 3*v + 20. Let y(g) = 6*g**2 - 17*g + 6. Is y(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 41443.025 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 22*r**2 + 24*r**2 + 7 + 5 + 10.\nAnswer: 2*r**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 17 = -3*j - 5*d, 8 = 2*j + 4*d. Let v(r) = 4 + r**3 + 4*r**3 + 4*r - 4*r**3 - 7*r**2. What is v(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6731879?\nAnswer: 7, 11, 87427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/34235 and 19\/1599?\nAnswer: 1335165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let i(n) = 2*n**3 + 2*n**2 - 3*n - 1. What is -i(v) - 3*w(v)?\nAnswer: -2*v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/24*2)\/((-5)\/(-20))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsbbbbbsbssbbbbbbb. Give prob of picking 1 s and 2 b.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46200991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-21)*1*(-1587)\/23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 8 + 225\/(-40). Suppose 44 = -89*v + 100*v. Sort v, b, 1\/4 in descending order.\nAnswer: v, b, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*h, -2*r + 0*h = -3*h - 11. Let x be (-1 - 9\/6)*r. Suppose 0 = x*w + 15, 18 = 5*z + 5*w - 162. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3333 + -331?\nAnswer: 3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (sqrt(252) + 2*sqrt(252)))\/sqrt(9) - (-2*sqrt(84))\/sqrt(3))\/(-6*(sqrt(400) + (sqrt(400) - (sqrt(400)*-1 - sqrt(400))) + sqrt(400))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/7))**(-39) assuming j is positive.\nAnswer: j**(195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38958 bigger than 38958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/9, 1\/2, 1148.28?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 7*j - 12. Let p(t) = -t**2 + 27*t - 120. Let x be p(21). Let a(z) = 2*z**2 - 6*z - 11. What is x*q(w) - 7*a(w)?\nAnswer: -2*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(((d*d**(2\/41))\/d)\/d)*d**(-4\/13) assuming d is positive.\nAnswer: d**(876\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:07 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*h - 15*h + 307*h + 4*h - 39*h.\nAnswer: 124*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brrb when four letters picked without replacement from {b: 2, r: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 785451*f - 65171766.\nAnswer: -3*(f + 83)*(f + 261734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4 - 4)*(-x - x + x) + 4*x**2 - x**2 - x**2 + (2*x - 4*x + 3*x)*(-4*x + 7*x - 2*x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*j + 4*x, 0*x = -2*j + 2*x - 4. Let d(h) = -h**2 - 4*h + 13. Let m be d(j). Solve 2*u - 3 - 5 = 0, -4*u = 3*w - m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(162) - sqrt(162))*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/9)\/t*t)\/(t*t\/t**(-23)*t*t) assuming t is positive.\nAnswer: t**(-248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**5*n - 570570*m**5 + 25550*m*n - 9*n + 1 wrt m?\nAnswer: -20*m**3*n - 11411400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 4*w + 2. Give s(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p + 5*h - 41, -5*h + 13 = -3*p. Solve -11 - 17 = -p*m - 2*b, 2*m - 30 = -5*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + l - 4. Let t(k) = 1. Let p(y) = a(y) + 2*t(y). Let f be 1*4 + (-126)\/18. Determine p(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571688.4ms in microseconds?\nAnswer: 571688400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -94, 83, 684, 1913, 3974, 7071?\nAnswer: 11408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 816484040 a multiple of 719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 3. Let a = 9 + f. Suppose 12 - 44 = -a*r. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b**2 - 14*b**2 - 20*b**2 + b**2 + 2*b**2 - 4*b**2 + (b - 5*b + 2*b)*(-2*b + 0 + 0) as q*b + o*b**2 + a and give o.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001003974 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**2 + 0 - 1\/6*g**3 - 3*g. Let h(j) = -5*j**2. What is m(h(n))?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - 2*x**2 + 2. What is q(2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)\/b)**(-2\/33)*(b*b**(-3\/4))\/b*b*b*b**(-4)\/b*b\/((b\/((b*b**5*b*b)\/b))\/b)*b*b**4*(b**(-1))**16 assuming b is positive.\nAnswer: b**(-295\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 31, 0.3 in decreasing order.\nAnswer: 31, 0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 6*t**2 + 441\/2*t**3 + 0 - 147\/2*t**4 - 18*t = 0.\nAnswer: -2\/7, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let h(a) = 4*a. Let o be 0 - 2 - (0 + 1). Let t(y) = 2*y. Let j(s) = o*h(s) + 5*t(s). Determine j(q(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwzzzw. What is prob of picking 3 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*1\/(10\/(-115))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526759401 to the power of 1\/2, to the nearest integer?\nAnswer: 39074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 101888\nAnswer: -1\/101888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + k - 4 = -3*k, 0 = 4*k. Let z be (r\/(-8))\/((-42)\/16). Let i = -33 - -33.06. Sort 5, i, z.\nAnswer: z, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 120 = 8*h - 10*h, -4*h = -5*q - 238. What is the remainder when h is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2*r + 19161*r**2 - 9625*r**2 - 9594*r**2.\nAnswer: -58*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1391 and 53\/144129?\nAnswer: 1873677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*z - 55*z + 42*z)*(0*z - 8*z + 0*z)*(0*z - 2*z + z + (-4 + 3 - 1)*(-5*z + 3*z + 5*z) - z + 3*z + 0*z) to a*z**2 + s + k*z + h*z**3 and give h.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 11:11 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 116579248.\nAnswer: 582896240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100 + -101000000000?\nAnswer: -101010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(500)\/(sqrt(10) - (sqrt(640) + sqrt(10)))*5)\/((2*2*sqrt(70))\/(sqrt(7) + (sqrt(28)\/sqrt(4) + sqrt(7))*-1)).\nAnswer: 15*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 1\/3, 7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111765695?\nAnswer: 5, 19, 31, 37951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -96. Suppose 4*q - 162 = -4*s + 2*s, -2*s = 6. What is the smallest common multiple of (3\/(-4))\/(d\/(-968)) and q?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -947 = 1530*q + 15883 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.06619*3\nAnswer: 0.19857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10261*p - 537*p + 1492*p + 1461159 = 521253 for p.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/12*(-8)\/3 + 114\/33?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-3))\/(6\/27). Suppose 3*n - 45 = i*v - 4*v, -185 = -3*v + n. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62278859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 912641507*m**4 + 861794524*m.\nAnswer: 10951698084*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 344.41.\nAnswer: 4477.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 309*v**2 - 4*v - 3. Let w = 130 - 131. What is the units digit of k(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 219, 1607, 5381, 12735, 24863, 42959, 68217?\n\"Answer: 199*a**3 - a**2 - 2*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2. Suppose 0 = 2*m - 0*m - 4. Let x(h) = 0*h**m - 5*h**2 + 3*h**2 - 3*h**2. Determine l(x(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 7\/9, -1823, 0.5, -8, 0.1?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*h - 111*h - 177*h - 123*h + 171*h.\nAnswer: -635*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14563 is divided by 2419.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1702.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s + 6. Let t be h(2). Let f be t\/15 - (-248)\/20. Suppose f = 3*j - 42. Solve 2*n - v = -n + j, v = n - 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/7 - 6961*p\/7 + 41514.\nAnswer: (p - 6919)*(p - 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, k: 2, b: 8, r: 2}. Give prob of picking 1 k, 1 b, and 2 c.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 6*l + 7. Let d be -3 - (-1 - (0 - 3)). Let q be s(d). What is the greatest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274203763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -66, 0.4, 3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = -8. Let w be 1 + g*1 + 4. Solve w*z - 2 = -2*r, -5*z - 1 + 2 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4183.662 months in years?\nAnswer: 348.6385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52495, 52573, 52651?\nAnswer: 52729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 5 (c) -2\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -59. Solve 0 = s*l + 4*r - 1, -2*l - 2*r + 2 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k**5 + 0*k + 66*k**5 - 4093*k + 4093*k + (4 + k**4 - 4)*(-3 + 3 + 2*k) - k**5 - k**5 + 3*k**5)*(1 - 3 + 1).\nAnswer: -68*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w + 63 = 64*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -2. Suppose -3*r = 5*y + 55, 2*y - 4*r + 4 = -y. Is (y\/(-10))\/(o\/(-65)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {j: 3, w: 1, a: 7, u: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 19142\/9, 2, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53105160?\nAnswer: 2, 3, 5, 23, 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*h = 170*h - 80*h + 32736 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1313 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231233?\nAnswer: 79, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-5))\/((-345618)\/910). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (600\/48)\/((-5)\/(-2)). Suppose 5*x + 3 = -3*b - b, -2*b = -3*x + 7. Sort q, b, -67.\nAnswer: -67, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 99*x - 110. Is j(-28) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -114, -165?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 929, 3880, 8849, 15836?\nAnswer: 24841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*g + g. Suppose 2*n = 6 - g. Suppose 0*w + 40 = n*w. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 9\/13, -12869 in descending order.\nAnswer: 9\/13, 0.3, -12869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*2*1. Let q = o - -6. Let u = 130.4 - 130. Which is the third smallest value? (a) q (b) u (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5953796 and 2.\nAnswer: 5953796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 11:51 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65194 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5859 + 3228. Let m = x + 3690. List the prime factors of m.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 12. Let m be h(4). Suppose 0 = 5*s + v - 145, 2*v + 17 - 7 = m. What is the remainder when s is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x + 6*x - 57*x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**3 - 3*i**4 - 8*i**3 + 3*i**4 - 2*i**2 + 2*i**4 to m*i**3 + p + c*i**2 + v*i**4 + u*i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from zkhkookkokhhkhhkzhz?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -845\/7 - -121. Let y be (0 - 1) + 4\/3. Which is the closest to -0.2? (a) w (b) y (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**(-4))*q\/q**(-3)*q*(q\/(q*q**(1\/25))*q)\/q*(q\/q**(-1)*q)\/q*q assuming q is positive.\nAnswer: q**(99\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6946468 grams?\nAnswer: 694646800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {i: 3, e: 1, l: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m - 17. Let w be n(-7). Solve 5*x = -u + 14, 2*x + x = -w*u + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3160 and 21\/177145.\nAnswer: 111955640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z - 21. Let r = 146 - 226. Let f = r - -112. Calculate the remainder when f is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2524*l*u**3 - l*u**2 - 10*l*u - 2*l + 3*u**3 + 10 wrt u?\nAnswer: -15144*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5994 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(1300))**2 + 2 - (3 + 1 + sqrt(637) - (sqrt(637) - 2*(sqrt(637) + 2*sqrt(637)))).\nAnswer: -42*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a + 72. What is m(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(0 + (-1 + sqrt(11) + (sqrt(121)*3)\/sqrt(11))**2).\nAnswer: -2655 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.13 times 0.2?\nAnswer: -1.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 - 7*d**2 - 3*d - 3. Let x be y(-5). Suppose 0*j - x = -2*j. Let c = -27 + j. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599*j + 507 = 1705. Suppose m - 2 = 0, 4*m + 1 = -5*z - 1. Let n = z - -4. What is the greatest common divisor of n and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 + 116*k**2 - 6072*k + 211024\/3.\nAnswer: 2*(k - 22)**2*(k + 218)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2200 - -2201.49. Which is the third smallest value? (a) -1 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -2, 138, -37?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1927, 3916, 5905?\nAnswer: 7894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660731 (base 9) to base 16.\nAnswer: 6040f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/24 + 115\/(-40). Which is the fourth biggest value? (a) -0.4 (b) 2\/3 (c) -0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*z = -487*z + 782*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1860 and 266680.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 0*x**2 - 2*x**2 + 2*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*c - 2*h - 2 = -60*c, 0 = 5*c - 41*h - 68 + 27 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -23*n + 1 + 24*n - 2 + 4. Give l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Let u be -7 - -8 - (-4)\/1. Suppose 0 = -3*c - 0*c - r + 13, u*r - 20 = 0. Solve 4*m = -4*i + 24, -c*m + 4*i - 4 = -w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 3. Let m be ((-6)\/4)\/(3\/t). Suppose 0 = -u + m. Are u and 5\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*f - f + 6779, -5417 = -4*k + 3*f. Suppose k = -o + 21430. Let q = o + -8075. Round q to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227017632*u**2 + 454035270*u**2 - 227017622*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlttpzttmtttaztmmmmt. What is prob of sequence mpzl?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -0.27. Let u = -0.2 + g. Let s = u + -0.027. Round s to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 0.5 (b) 3504 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 67831, 67835, 67849, 67879, 67931, 68011, 68125, 68279?\n\"Answer: v**3 - v**2 + 67831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*k + r - 8117, 2*r = 5*k + 20294. Let i = -48655\/12 - k. Calculate the common denominator of -115\/24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 11:21 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10*26035\/(-381). Solve 5*k = -31 + m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 4*z - 4*z. Let b(s) = 259*s**2. Give h(b(w)).\nAnswer: -134162*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55450*b**2*f**4 - 20*b**2*f**2 - 305*b**2*f - b*f**5 - 7*b*f**2 wrt f?\nAnswer: 1330800*b**2*f - 60*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, o: 5}. Give prob of picking 3 o and 1 k.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -26. Suppose -4*t + 44 = i*c, 4*c = 4*t + 42 + 2. Let b be 276\/66 + (-2)\/c. Solve -k - 5 = b*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -69, -112, -181, -282, -421, -604?\n\"Answer: -o**3 - 4*o**2 - 4*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 6*u + 3*t, 0 = 120*u - 123*u - 4*t - 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 26262*b + 172423161.\nAnswer: (b + 13131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45701234 - -45701184.000026. Let k = -50 - m. Round k to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 12) in base 2?\nAnswer: -111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(-x + 0*x - x) + 10 - 10 - 3*x)*(-3 - 1 + 3).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2584863*v. Let w(s) = -3*s**2. Calculate p(w(y)).\nAnswer: -7754589*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-one quarters of a tonne?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8565 is divided by 70.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 5*n - 10. Let g be h(7). Suppose -g*f - f + 30 = 3*p, -4*f = p - 17. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3048 = -310*u - 362 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 51\/16, 0.2, -5.\nAnswer: -5, 0.2, 51\/16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -19, -2\/5, 2\/7, -0.38?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 16 = 0, -3*n + 2*t - 11 = t. Let d be ((-2)\/n)\/(18\/(-45)). What are the prime factors of d - 0\/(-5) - -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23c99 (base 16) to base 4\nAnswer: -203302121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*w - 8 = -7*w, -w = -2. Suppose -5 = 2*p + 3*r, x*p - r - 7 = -2*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38295, 76543, 114723, 152805, 190759?\nAnswer: 228555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (9 + 34) - -57.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42.9 in -18, -0.4, -5, -11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 2*j**2 + 3*j - 3. Let v be c(3). Let x be 5\/(-5)*(-1)\/(v + 1). What is the nearest to x in -1\/7, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*d**2 + 9\/4*d + 0 + 1\/4*d**3 = 0. Calculate d.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3500567, -0.09, 2\/13 in decreasing order.\nAnswer: 3500567, 2\/13, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 476 = 2*y. Is y a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 7*y**3 + y**2\/2 + 186. Let w(u) = 2*u. Give w(n(q)).\nAnswer: 42*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 + 70849*u**2 - 70849*u**2.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3015 = 8*l - 1127. Let c = 72 + 111. Let m = c - l. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -236 - -240. Let a(i) be the second derivative of 1\/252*i**7 - 1\/180*i**6 + 0 - 21*i + 1\/36*i**g + 1\/36*i**3 - 1\/60*i**5 - 1\/12*i**2. Solve a(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11705, -97831, -332805, -791051, -1546993, -2675055, -4249661, -6345235?\n\"Answer: -12404*m**3 + 702*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 760448a + -1?\nAnswer: 7604489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269803 is divided by 19927?\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1651723 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -373 - -223. Let v = u - -150.0138. Round v to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.49 (b) -7 (c) 0.4 (d) -22\/9 (e) -9 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -142 + 142.2. Let o = -2.3 + 2. Let n = 0.12 - -0.58. What is the nearest to -0.1 in n, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 21*f**3 - 2. Let a(s) = -80*s**3 - 192*s**2 + s + 5. Let u(o) = -o**3 + 48*o**2 + 1. Let t(r) = -a(r) - 4*u(r). Determine 9*j(m) - 2*t(m).\nAnswer: 21*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19850*w**4 + 1283*w**3 - 137700854*w**2.\nAnswer: -476400*w + 7698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36\/485 or 2.941?\nAnswer: 2.941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*w = -c + 10, -2*c - 3*w + 34 = 0. Suppose -505*h = -503*h - 24. Solve -r + 4*g + g = c, 4*g - h = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3. Let x be m(-2). Let t be (-154)\/(-1) - (-2 + 1 + x). Let w = -75 + t. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -45, -91, -165, -273, -421, -615, -861?\nAnswer: -1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h, -h + 3*h = -s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4166 + 2*q**2 - q**2 - 8336 + 4225 + 84*q.\nAnswer: q**2 + 84*q + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2313774 and 260142?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28 * -0.24\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23609277, 94437110, 212483499, 377748444, 590231945?\nAnswer: 849934002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -15*c + 78. Calculate the highest common divisor of c and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02769 rounded to 3 dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-209)\/637 + (-348)\/(-1131). Let o be 151\/15*9\/6. Let z = 15 - o. Which is the biggest value? (a) n (b) z (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26\/2 - 11\/((-44)\/(-16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 1336 = 187*g + 1514 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {g: 2, t: 3, z: 10, o: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67265 - 29?\nAnswer: -67293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukzuukuisuukuzyuy. Give prob of picking 1 u and 1 y.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45\/18808, 2, 1 in descending order.\nAnswer: 2, 1, -45\/18808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44 + 4\/6*-3?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 - (0 + -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 379007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 45*h - 23. Let v be q(3). Suppose -17 = -5*j - 2, -4*j + v = -5*i. Which is the second biggest value? (a) -1 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*2\/(-5). Put 4, -13\/5, z in decreasing order.\nAnswer: 4, z, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 + (-6672)\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 12*k**2 - 12*k + 11. Let t be b(11). Suppose -r - 2 - 2 = t. Let q be 1*(5\/(-1))\/(-1). Sort r, q, 3 in decreasing order.\nAnswer: q, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -239 (c) -1\/3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 16 = 3*s, -2*x = 3*x - 4*s - 13. Let m be -2 + x + -2 + 4. Solve -5*l = -l - 5*g + 1, -m*l + 7 = 2*g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66552 divided by 3\nAnswer: 22184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38040 at most as big as 38039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-30))\/((-126)\/(-315)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 4 (c) -2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2. Let d(r) = 655*r + 58. Let q(m) = 16377*m + 1479. Let n(x) = -153*d(x) + 6*q(x). Determine n(b(s)).\nAnswer: -3906*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84363 and 922?\nAnswer: 168726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 769*b. Let w(t) = -2*t**2. Give l(w(n)).\nAnswer: -1538*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 187908 and 1680?\nAnswer: 3758160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176*u**5 + u - 56 wrt u?\nAnswer: -3520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2. Let b(v) = v**3 + 6*v**2 + 1. Let l(s) = -s + 7. Let j be l(8). Let f(a) = j*b(a) - 6*w(a). Find the first derivative of f(h) wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:58 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22754779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.9286997 rounded to 1 dp?\nAnswer: -30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -11. Let b be (37 + -1)\/(c\/(-36)). Suppose 0 = -n - a + 23, 4*n - 2*a + 64 - b = 0. What is the remainder when n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p. Suppose 14 = t - 5*c, -2*c - 20 = -4*t - p*t. Suppose 0 = t*v + k - 60, 4*v = -k + 4*k + 76. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.182 - -0.342. Is q at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*v**2 - 128*v**2 + 8 - 8 + 89*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*a*o**3*r + 2*a*o**2*r**2 - a*o**2*r + 7*a*r**2 - a*r + 276*o**3*r**2 + 8*o**3*r + 11*o**2 wrt r.\nAnswer: 4*a*o**2 + 14*a + 552*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-130)\/15)\/((-3)\/(-18)). Let x = 50 + q. Sort 2, x, 4, 5 in increasing order.\nAnswer: x, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 57ba0?\nAnswer: -57b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -150a95?\nAnswer: -150aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/85)*w**(20\/9))\/(((w\/(w\/(w\/(w*w\/w**(2\/35))*w)))\/w)\/(w**(11\/5)\/w)))**(-5\/8) assuming w is positive.\nAnswer: w**(-23501\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1133 + -55512231?\nAnswer: -55513404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -4\/3*j**3 - 2\/35*j**7 + 0*j - 1\/30*j**6 + 209*j**2 + 0 - 1\/2*j**4 + 3\/5*j**5. Determine g so that s(g) = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80*-0.04.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 120?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 2:28 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 6 + z + 1 + (3 - 12 + 46)*(23*z - 53*z + 23*z) in the form s + u*z and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + (-1 - (14 - (-8 + 11)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 - -0.03. Let h = n - 0.1. Suppose -2*g - 21 = 2*w - 1, -5*w = 25. What is the smallest value in -2\/5, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - -7)\/(2\/(-38)). Let h = a + -17. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -5. Let m be 15*o\/6 + 1. Let n = m - -19. Solve d = 0, -5*k + n = d + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2762\/(-6))\/((-1)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9531267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**(-32))**(-17)*((p\/(p*p\/(p\/p**1)*p)*p)\/p*p\/p**(-1\/10))\/(p**(3\/4)\/(p\/p**(-1\/7))) assuming p is positive.\nAnswer: p**(152249\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.964 and -6.950691?\nAnswer: 4.986691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = -2*y + 13*y. Let j = 27 + y. Calculate the remainder when j is divided by (-6)\/(2 + 46\/(-20)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 406697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 at most -863\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.155 - -3034.5937214\nAnswer: 3034.4387214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 3*z**3 - 5*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 39*r**2 + 7*r - 1143. Let g(a) = 52*a + 5. Determine -7*g(m) + 5*j(m).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*((-68)\/(-10))\/(-1). Suppose -4*p - 6 - 2 = 0. Is (1*m)\/(p\/11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 38. Let t = 11 + c. What are the prime factors of 9 - ((-1 - -3) + t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(3 - -1) - -3. Let n be c\/1*(2 - 0). Suppose -35 = -3*m + 5*f, -11*f - 25 = -m - 6*f. Solve n*d + 2*q - 25 = m*d, -2*d = -5*q + 19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 = 4*i - 2*i + 5*w, -576 = 2*i - 3*w. Calculate the common denominator of (-20 + 17)*221\/(-624) and (2\/344)\/((-3)\/i).\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 8485172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1161012 (base 7) to base 5\nAnswer: -14233324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2608\/(-16) - 2*-7. Sort -1, 4, l, 0 in descending order.\nAnswer: 4, 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 t when three letters picked without replacement from {b: 2, e: 2, t: 5, i: 9}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 30058000 to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11684\/2921*(-51)\/4.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -4*t**5\/5 - 97*t**4\/14 - 54*t**3\/7 - 18*t**2\/7 + 334. Suppose u(o) = 0. What is o?\nAnswer: -6, -1\/2, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 114*j + 30. Let r be y(-6). Let q = -268 - r. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+510.483583472\nAnswer: 505.483583472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16058, -19906, -23754, -27602?\nAnswer: -31450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/618773 - 8925181763\/6806503. Let q = a + 229717\/176. Calculate the common denominator of q and 101\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 1. Let g(t) = 3*t. Suppose -3*r + 2 = -1. Give r*b(s) + g(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1793638 (base 13) in base 15?\nAnswer: -a1da41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {r: 2, b: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/7)\/(6\/21). Let g = -8.84 - -8.94. What is the nearest to g in 0.15, 0.2, b?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 1099713 = -1099903 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*s + 4*v - 36, -5*v = s + 13. Let w be -8*s\/56 - -2. What is the nearest to w in 9, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289641475 to the power of 1\/2, to the nearest integer?\nAnswer: 17019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9\/((y*y**5*y)\/y*y))\/((y**(-9\/4)*y)\/y**(1\/6)))**(11\/6) assuming y is positive.\nAnswer: y**(451\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84493 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.8069 decades to millennia.\nAnswer: 0.618069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 9*m**2 - 73*m - 510. What is d(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*t + 5*y, 3*t - y = 51 - 39 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**2 - 2*a + 5. Let x(m) = -4*m + 0*m - m**2 + 1 + 3*m. Let y = -1067 - -1064. Determine y*x(l) + i(l).\nAnswer: -l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9b07ee8 - -5?\nAnswer: 9b07eed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 1:52 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 4) to base 15\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69385461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(36\/(-172)*3\/9). Suppose -3*x - 3*w = -4*x - 21, w + 63 = -2*x. Let g = x + p. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p - 3*p)*(189*p**3 - 2*p + 5*p - 215*p**3)*(-3*p - p + 2*p).\nAnswer: -208*p**5 + 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 - 6*t - 2. Let l be s(-5). Suppose 31 = 4*w - 3*k + 5, 2*w - 16 = l*k. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1065 and 6015?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46433772 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/38 - 6\/(-57))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(-1 - 9 + 0)*(67 - 37 - 111*j - 30) as b*j + i and give b.\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfh when three letters picked without replacement from xxphhxf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -14, -22, -30, -38, -46?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9.1. Which is the closest to -1? (a) y (b) 1 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4172482 or 1?\nAnswer: -4172482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**5 - 64*n**4\/3 + 5123*n**3\/3 - 1442*n**2 - 10624*n\/3 - 1120\/3 = 0.\nAnswer: -28, -1, -1\/9, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Suppose c = 4*o + 2*p - 12, 5*o + 5*p - 20 = -0*o. Let v(x) = 4*x**2 - 2. Is v(o) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1677, -3408, -5139, -6870?\n\"Answer: -1731*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(104)*5)\/(-5*sqrt(56)\/sqrt(7)))**2 - (sqrt(143)\/(sqrt(44)\/sqrt(4)*2)*1 + -2)**2.\nAnswer: 2*sqrt(13) + 439\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0503 and 74255.\nAnswer: 74255.0503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -129. Let y be d\/(-1 - -3) - -4 - -58. Is y greater than or equal to 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 1:02 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*k - 14 = 0, k - 1 = -2*n + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, c: 3}. Give prob of sequence ccac.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, q: 6, o: 1}. Give prob of sequence hqo.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60055\/6 - 10009. What is the nearest to -1 in 0.3, -3, -245, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Suppose f + 2 = 3. Suppose 5*m - u + f = 5, -m = -4*u + 3. What is the nearest to m in p, -2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -102*b - 19. Is k(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.62526 + 6317.69?\nAnswer: 6340.31526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let s = h - 1. Suppose 15 = 8*g - 3*g. Which is the biggest value? (a) s (b) -1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 893.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1399, -2.33, -2\/17, 0.03, 0.1 in increasing order.\nAnswer: -1399, -2.33, -2\/17, 0.03, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0 = -8. What is the third derivative of 62*v**j - 108*v**3 - 7*v**2 + 79*v**3 wrt v?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 5*c**2 - 3*c + 1. List the prime factors of s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 83*w - 1653. Let o be s(20). Solve -9 + o = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 559 and 292513?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 752644 - 752642. Determine c, given that -47\/9 + 31\/3*c - 1\/9*c**3 - 5*c**q = 0.\nAnswer: -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:52 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045946 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06993692 to 3 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1209 - -1204. Let c(a) = -1 - 8*a - 3*a**2 + 3*a - 8*a**2. Let o(p) = -p**2 - p. Let z(m) = f*o(m) + c(m). What is z(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 0 + 4*p**2 - 1 + 2. Let m be l(-2). Solve -4*h + m = k + 7, 4 = 2*h + k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*i = 2*u + 87*i + 8, -u + 3*i = 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**6 + 104*w**4 + w**2 + 225 wrt w?\nAnswer: -120*w**3 + 2496*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, x: 3, p: 11, q: 2}. What is prob of picking 2 f, 1 p, and 1 q?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(92\/(-1104))*2\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440 (base 11) in base 8?\nAnswer: -3503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2365 and 254199945.\nAnswer: 254197580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 491, 1233, 2305, 3707, 5439, 7501?\nAnswer: 9893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 87231, 174459, 261687, 348915, 436143?\n\"Answer: 87228*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -13 - 8, 4*q - 48 = -4*v. Solve -m + 31*g = 28*g - 9, -q*m + 12 = -4*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7447408*d*r**2*y**3 - 92*d*r*y + 68*d*r + r**2*y + 6*y**2 wrt y.\nAnswer: 44684448*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -24*q + 7. Let i(v) = -15*v - 1. Calculate 10*i(t) + 2*y(t).\nAnswer: -198*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9ab572 (base 14) to base 4\nAnswer: -110003022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + 1 - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30485 and 8530?\nAnswer: 52007410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*o**2 - 15101480*o + 10067660.\nAnswer: -5*(o + 1006766)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 - 7*n**2 - 6*n. Let q(s) = -5*s**3 - 13*s**2 - 11*s. Let z(g) = -g**3 + 17*g**2 - 19*g + 42. Let y be z(16). Give y*q(d) + 11*l(d).\nAnswer: -3*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28 and -662932.17246.\nAnswer: -662904.17246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -56. Which is the closest to -1\/2? (a) l (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + -4.3. What is the closest to -1 in -0.6, 5, q?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g - 12 = 0. Let l(o) = 7*o. Let h(z) = -4*z. Let p(s) = g*l(s) - 5*h(s). Let a(m) = 0 + 0 - m**2. Give a(p(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*u**2 + 12*u**2 - 9*u**2.\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 12*u + 8. Let m be j(10). Suppose -m*q - 7*q = -9765. What is the highest common divisor of q and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 16 = -91. Let p = 57 - a. What is the remainder when 62 is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 97 (b) -2\/3 (c) 17 (d) -3\/5 (e) -12 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391, -704, -1049, -1432, -1859?\nAnswer: -2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -d5652 (base 15) in base 7?\nAnswer: -5515043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46495*b**6 + 12265*b**2 wrt b?\nAnswer: 5579400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = 2*f. Suppose 0 = f*n - 7*n + 3795. Suppose -124 = 5*p - n. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*i + 2 + 867 + 726 = -98*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + -11?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6546282?\nAnswer: 2, 3, 1091047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -16 + 22. Suppose 5 = t, -u*t + 2 = -5*j - 3. Suppose -3*s - 5*k = -209 - 392, j*k = -3*s + 595. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1085 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(100) - sqrt(4)) - sqrt(75)*2)**2.\nAnswer: 4563\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5*6.786\nAnswer: -33.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 4*c**2 + 2*c - 13. Let r be i(4). Let s be -4 + 1 - (r - 9). Suppose -3*h - s = 5*z, 5*h - 19 = -0*z + z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r + 27. Let m(v) be the first derivative of 3*v**2\/2 + 4*v - 2. Let z = 45997 + -46001. Give z*c(u) + 27*m(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 4, -13, -73, -4 in decreasing order.\nAnswer: 4, 2, -4, -7, -13, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 1 + 1)*(2*x + 1 - 1)*(-12 + 8 + 16).\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -1.13, -2\/3 in decreasing order.\nAnswer: 3, -2\/3, -1, -1.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u*u*u**(-8))**(-4\/9)\/(u**4\/(((((((u*u**(-2\/23))\/u)\/u)\/u)\/u*u)\/u)\/u)*(u**(-1))**(-1\/18)) assuming u is positive.\nAnswer: u**(-2819\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.165, -2\/13 in descending order.\nAnswer: 5, 0.165, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let a = -82.93 - -83. Is t at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 20 + 29 + 16 - 84 - 438*m.\nAnswer: -438*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*f + f. Let -3*n**2 - 3*n**3 + f*n - 65*n**4 - 59*n**4 + 127*n**4 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42330.\nAnswer: 2, 3, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22\/8 - 1 - 19869015\/(-940).\nAnswer: 21139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4 + 10*o**3 - 30*o**2 - 10*o + 28 = 0.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2671456*0.06.\nAnswer: -160287.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*g = 2*s + 13, 0 = -4*s + 4*g - 8. Does 10 divide s*14*371\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014564203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62495969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -6201?\nAnswer: 6203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*w - 6 = 0, 6*u - w = 3*u + 3. Suppose u + 6 = 2*y - 2*s, -13 = -3*y + s. Solve -4*z - 5*b = -z - 8, 0 = -y*z + 5*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 41.97. Round b to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3265964.\nAnswer: 2, 13, 181, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 27*n - 26*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14785561.59 - 0.6554\nAnswer: -14785562.2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4471*l + 4461*l - 54 - 10. What is s(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1448, 11976, 40670, 96614, 188892, 326588?\n\"Answer: 1514*p**3 - p**2 - 67*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 - x - 23. Let w(o) = -4*o**2 + 25. Let s(d) = 3*b(d) + 4*w(d). Calculate the remainder when 29 is divided by s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 65*x**2 - 58*x**2 - 11*x.\nAnswer: 7*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 18 = -17*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 434096192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 q, and 2 l when four letters picked without replacement from {v: 2, l: 2, s: 6, q: 3, o: 4}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335*i**6*y + 6205*i**5*y + i**2*y + 72*i**2 - 11*i*y - 73*y wrt i.\nAnswer: 40200*i**3*y + 372300*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1 - 3 - j**2 + 0*j**2 - 10*j. Is 5 a factor of y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 573839361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2995127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3650?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-2) - (-1)\/2. Let o = 8 + 1. Let q = a - o. Solve b = -4*c + 6*b + 14, 0 = 4*c + q*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {b: 2, p: 6, d: 2, i: 3, u: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 56 + 776 = -72*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(2197\/(-1157)) + (10\/2 - -2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*p + 1. Suppose y + f - 5*f - 7 = p, 2*y = 3*f + 39. Let c = 126 - y. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156109*u**3 - 411988*u wrt u.\nAnswer: 936654*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2217909, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -188*q + 747. Give h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3936 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1203020111 (base 4) to base 2\nAnswer: 1100011001000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/(-143))\/((1700\/(-102))\/(-50))\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, -632, -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 3. Let b be 4 + 0\/(-6 + 2). Let u(j) = j + 3. Let z(o) = b*u(o) - 3*k(o). Let x be z(-3). Solve x = 6*f - f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 9 + 6. Suppose 9 = 2*f - 4*q + m, -5*q - 3 = -f. Suppose -2*u + 244 = d - 5*d, -f*u + d + 361 = 0. Is u a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73003619 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 43, 62, 77?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -256438 divided by 2\nAnswer: -128219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*t = 747*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2. Let d(j) = 1036*j - 81. What is d(h(a))?\nAnswer: -4144*a**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 9*o**4\/2 - 23*o. Let h(x) = -x. Calculate h(m(j)).\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51458 - -51913.22. Let l = -290 + 739. Let f = q - l. What is f rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s**2 + 3*s. Let v(g) = 11*g. Let j(f) = -4*f. Let d be (-190)\/(-60) - 2\/12. Let r(y) = d*v(y) + 8*j(y). Give z(r(p)).\nAnswer: -8*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -347*j - 71. Let v(k) = -1215*k - 249. Let w(d) = 18*c(d) - 5*v(d). What is the first derivative of w(y) wrt y?\nAnswer: -171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/15 (b) 0.5 (c) -1\/8 (d) -0.02452 (e) 2 (f) 4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.97 + -7. Let n = x + 6.03. Let c = 5.999974 - n. Round c to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5556 or 5555?\nAnswer: 5555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -229*n**3 - 6*n**2 - 17*n + 19. What is the hundreds digit of t(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 7:48 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -717332.6565947 + 721450.3719. Let j = 4114.3153 - m. Let h = 3.4 + j. Round h to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Let u(h) = 2*h + 1483. Let d(r) = r + 659. Let i(v) = -9*d(v) + 4*u(v). What is i(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from gllglklgglc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2*c*(((c*c**(2\/21)*c)\/c)\/c)\/c*c*c**(-6\/5)*c*c**(1\/5) assuming c is positive.\nAnswer: c**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -0.1096232658\nAnswer: -1.1096232658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33780207 and 6.\nAnswer: 67560414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.538071 centimeters in kilometers?\nAnswer: 0.00000538071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 101?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*f*x**2 + 46*f*x + f - 16581*x**2 wrt f?\nAnswer: -30*x**2 + 46*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03972 and -20.\nAnswer: -0.7944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-217)\/(-35) + 2\/(-10). Let g(x) = -x + 5. Let d be g(5). Suppose -y*t + t = d. Is t > -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25941126 - -11641126. What is y rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 156\/(19 + -31) + 71. Calculate the highest common factor of 7018 and y.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**7\/630 + b**6\/180 - b**5\/180 - 5*b**2. Factor n(m).\nAnswer: -m**2*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a + 9*a - 9*a)*(-376*a + 3 + 356*a - 5).\nAnswer: -200*a**2 - 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 8:00 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - 1*sqrt(117))\/sqrt(9) + -2 + (sqrt(13) - (-2*sqrt(1573) + sqrt(13)) - sqrt(13)) + ((sqrt(26)\/sqrt(2) - sqrt(13)) + 2)**2.\nAnswer: 2 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 69. Let l = r - -55. Suppose -868 = -l*i + 4*o + 88, 0 = 4*o - 20. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i**2 + 8*i - 10. Give z(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372446535 and 255977?\nAnswer: 372446535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7155?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107259 and 34?\nAnswer: 3646806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/227 and -13\/908.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -250*k + 247*k + 15, 3*k + 45 = 5*g. Put 53, -5, 1, g in decreasing order.\nAnswer: 53, g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/132 - (-66)\/363?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 298, 535, 772?\n\"Answer: 237*w + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 9*c**2 + 2*c - 2. Let h be j(9). What is the common denominator of -4 + (h\/52 - 0) and -101\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5439\/2449 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -7\/3*k**3 - 2 - 7*k - 1\/4*k**4 - 7\/2*k**2. Give j(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.895236 to 3 decimal places.\nAnswer: 0.895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 28297682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68))**2*5.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1081*m - 83. Let f(s) = -4348*s - 333. Let h(t) = -6*f(t) + 22*o(t). Differentiate h(w) wrt w.\nAnswer: 2306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30620, 30771, 31076, 31535?\n\"Answer: 77*v**2 - 80*v + 30623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z + 3*z + 4*z - 16*z**2. Let r(k) = 3*k - 8*k + 6*k. Give r(v(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4\/49, 4, 1\/6, -1\/7 in ascending order.\nAnswer: -1\/7, 4\/49, 1\/6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(13) - (sqrt(13) + -1)*5) + (sqrt(312)\/sqrt(96))\/(3*sqrt(36)).\nAnswer: -143*sqrt(13)\/36 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 8*m - 7*m. Factor -2\/11*k**4 + 8\/11*k + 8\/11*k**3 - 2\/11 - 12\/11*k**m.\nAnswer: -2*(k - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 163*p + 2142. Calculate k(13).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -471.1 - -471. Sort u, -2\/15, -3, -1\/3 in descending order.\nAnswer: u, -2\/15, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 717 - 3581\/5. What is the second smallest value in 1\/15, 5, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/11, -3.6, -5, -2\/13, 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 92*1\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107688 by 84.\nAnswer: -1282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - -3) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 23*d - 2*d)*(-1 + 4 - 1)*(1 - 3*d - 3*d + 2*d) in the form j*d**2 + a*d + q and give j.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 0 + 18*d + 1 + 29*d**2 - 4*d - 4*d. What is the units digit of l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 7*c**6\/60 - c**5\/60 - c**4\/24 + c**3\/6 - 462*c**2. Suppose 4*u - 3*u + 3*y = 13, 2*u - 4*y = -14. Calculate h(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552257263 divided by 5361721?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593658038?\nAnswer: 2, 296829019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342695625.\nAnswer: 3, 5, 193, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**5\/60 + s**3 - 1. Let p(o) be the third derivative of a(o). Let z(b) = -b. Determine z(p(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, p: 4, c: 2, r: 2, d: 1, e: 4}. Give prob of sequence ee.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 109. Let x = 34 + -19. What is the remainder when h is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 501, -27, 48, 2 in increasing order.\nAnswer: -27, 2, 5, 48, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 755 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-3 - 14)) + (43 - 48)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*p - 140, 0 = -5*z - 3*p + 41 + 101. Solve z = 7*d - 20 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-32) + 2\/4*(-36)\/72. Let z = 3 + -2. Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/22753?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1516, -6205, -14016, -24949, -39004, -56181, -76480?\n\"Answer: -1561*t**2 - 6*t + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, 39\/7, 2, -1\/7, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 350893 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 14 = -16. What are the prime factors of 2*((-105)\/l + -2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p + 901 = 166. What is the remainder when 2\/(-5) - 1388\/(-20) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:11 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3401 + 0.0951. What is j rounded to two decimal places?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13.79372 milliseconds?\nAnswer: 13793.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-780)\/(1 + 1)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(sqrt(17) + 6*(sqrt(17) + 0))**2.\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353732851?\nAnswer: 1193, 296507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 608 - 300. What are the prime factors of g?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36 + -41 - (-5 + -3)) + 5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -601 - -616. Sort n, 0.2, -0.09 in increasing order.\nAnswer: -0.09, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.067189 millilitres in litres?\nAnswer: 0.009067189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 6*h**2 + 136*h + 10. Let g be w(-15). What is the nearest to -1\/2 in 0.5, 0.3, g, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = -2738 - 1114. Let a = -323 - z. Let h(n) = -7*n + 1. Give h(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33040 and 9459352?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y**(4\/3))**15*(y**(-3)\/y**(-1\/2))**38 assuming y is positive.\nAnswer: y**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26.8848 nanometers?\nAnswer: 0.00000268848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01512 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 361 - s**3 - 100 - 2832 + (-s + s - 2*s**2)*(2 - 2 - 2*s) as d*s + w*s**2 + m*s**3 + u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 11. Let n be u(-17). Let v(f) = 7*f**2 + 12. What is the units digit of v(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/31910 and -73\/3797290.\nAnswer: 3797290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185258 is divided by 750.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -139941088 divided by 2\nAnswer: -69970544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13277676.\nAnswer: 2, 3, 83, 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 + 1)*(-3*p - 2*p + 6*p).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1373 (b) -0.2 (c) 0.02 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from {f: 2, o: 4, j: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-0.11\nAnswer: 0.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 2, 5*k + w = -77. Let f = k + 9. Let y be (0*(-3)\/f)\/1. Solve d + 2*d = y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 5:07 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-226)\/(-56161)*284)\/((-1)\/((-189)\/(-12)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 12105 + 2*s**3 - 1334 + 3840.\nAnswer: 2*s**3 - 2*s**2 + 14611","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q - 3. Let r(g) = 27*g + 29*g + 20 - 26*g - 9 + 3*g. Calculate 3*r(m) + 11*s(m).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(2)*1)**2 + 3*(sqrt(5)*-1 + -1).\nAnswer: -3*sqrt(5) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 6*g - 330 = 2*g - 92 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 19 + 12 + 4 to o*d + f and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 2*a - 1. Let j be m(-3). Suppose 2*l + j*s - 2 = 0, 0*l + 3*l + 4*s = 1. Suppose 0 = -2*u - l*u + 10. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 - 3*j + j**2 + j**2 - 2*j**3 - 4. Suppose 2*d - 10 = 4*z, -5*z = -8*z + 5*d + 10. Is w(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.267, -1296.1, -3\/2?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (314*f - 49*f - 114*f)*(-7 + 4 - 5)*(-4*f - 3*f**2 + 4*f).\nAnswer: 3624*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*k**2 + 2*k**4 + 0*k + 2*k**3 - k - 8*k**3 + 3 - 3*k**3 to v*k + g + i*k**4 + y*k**3 + c*k**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 118368391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -6*u**4 - 897100*u**3 - 2392238*u**2 - 2093200*u - 598056 = 0?\nAnswer: -149514, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 + 8*q**2 + 12*q - 20. Determine l(6).\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**2*q**4 - 148911*l**2*q**2 - 4*l**2*q - 5507*l**2 wrt q?\nAnswer: -12*l**2*q**2 - 297822*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + q + q - 17 = 0, 5*c + q = 130. Calculate the remainder when 4\/(-4) + (-53)\/(-1) is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*n = -14, 4*n - 4 - 10 = -u. Suppose 0 = 3*d - 3 - u. Suppose 0 = -x - z + 22, d*z + 73 = 3*x - z. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5320*z - 29368*z = 922133 + 1063252 + 1092759 for z.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 574*n + 13302. Give y(165).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -0.1, 28, -192\/7 in ascending order.\nAnswer: -192\/7, -0.1, 28, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 7. Let y(w) = w**3 - w**2 - w + 6. Let n be y(0). Let o(v) = 1. Let m be (-1 - 5)\/(18\/12). Let s = m + 5. What is n*o(d) + s*c(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/3 + 1*(-35)\/(-105). Solve 0 = -o*p - 5 - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = s + 40 - 49, 2*s - 2 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - (-21 - 182\/(-13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 787698a + 3?\nAnswer: 7876990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -0.0649701.\nAnswer: -0.3350299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - (-6 - -2))*(-40)\/(11200\/35). Suppose -3*z + 4 + 2 = 0. Factor k*w**z + 7 + 9\/2*w.\nAnswer: (w + 2)*(w + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - 4*y - 4, y - 7 = -4*s. Let v be (-13)\/(-4) - (-2)\/(-8). Solve -2*g = -5*p + 33 - 4, v*p = -s*g + 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -46308227.\nAnswer: -4\/46308227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/(-88))\/((-2)\/11). Let v(u) = -166*u**3 + 2*u**2 + 3*u + 3. Is 43 a factor of v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - -c0b9b84?\nAnswer: c0b9b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 3*w + 55198. Let g = 7989 + w. Suppose 11*a = g - 12. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**2 + 86*h**2 - 25*h**2 - 29*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 4*g**2 - 4*g - 4. Let f be w(-3). Which is the third biggest value? (a) 3 (b) f (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 481774 and 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.724 and 8.\nAnswer: 13.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -130, -279, -484?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 506612424?\nAnswer: -506612426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 20 + 8 = -8*q. Let s = -4.3 + 4.4. Which is the closest to s? (a) -3.3 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 9. Let d be r(12). Let w = 109 - d. Let h = w - 29. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546247609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13160140.\nAnswer: 2, 5, 7, 23, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, 344 in decreasing order.\nAnswer: 344, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -11374 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1128013022 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) + sqrt(133)*-3)*2)\/(sqrt(1008) + sqrt(1008) + sqrt(1008)*-3) + -2.\nAnswer: -2 - 5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882 greater than or equal to -885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 6*j. Let v be (-21)\/5 + (-3)\/(-15). Let h be k(v). Find the common denominator of (3\/h)\/((-20)\/464) and 149\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -164. Let s = -133 - y. Suppose j = s*l + 98, -4*j - l - 2*l = -403. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 - 7*c + 5. Let k(r) = 7*r**2 - 8*r + 4. Let x be 20\/(-6)*-1 + (-6)\/(-9). Let m(u) = x*o(u) - 5*k(u). Find the second derivative of m(d) wrt d.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 41 + -40 + (-58)\/12. Let j(i) be the second derivative of 0 - i**2 + 1\/20*i**5 - b*i**3 + 1\/2*i**4 - i. Give j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -68. Solve -t - t - 3 = -f, -g*t + 1 = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 4*m + 198. What is r(-11)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3663 divided by -37\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4729 or -75679\/16?\nAnswer: -75679\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h - 2. Let b be j(2). Suppose 2*q = -r, -q + 1 = -0*q. Let k = -2 - r. Put 2\/17, k, b in decreasing order.\nAnswer: b, 2\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 61 = -79. Suppose 2*m = 7*m + 3*q - 71, m - 4*q - z = 0. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 2, l: 1, a: 1, i: 1, g: 2}. What is prob of sequence gs?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*z - 130 + 666 = -768 + 29 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and -66?\nAnswer: -10.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806108 and 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 983550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*v + 4, 0*u = 5*u + v - 16. Suppose u*k = -12, 3*m - 5 = -2*k - 4. Suppose 3*w - m = 15. Calculate the remainder when 17 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q - 34. Let r be y(13). Suppose 9*d - 37 - r = 0. Let k(a) = 4*a + 36. Is 21 a factor of k(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/4))**3*(u**(-1\/4))**(1\/30) assuming u is positive.\nAnswer: u**(449\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.7. Suppose 6*h - 60 = 4*h. Let v = h - 28. Sort l, v, -0.2 in descending order.\nAnswer: v, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.15189 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 4*h**2 + 16*h - 21. Determine i(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.032662761 + -53.\nAnswer: -52.967337239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2\/11 + 33743320*h\/11 = 0.\nAnswer: -16871660, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432788 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 19*h = -2115. Let q be (1 + 0 + -1)*235\/h. Solve 5*s = 4*u + s - 20, -2*u + s + 5 = q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454689 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 24*n**2 - 299*n + 71. Calculate j(33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 9*y - 7. Let f be v(-8). Let z be 16\/((-3)\/(-6)*f). Is 31 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -141*s**4 - 1045*s**3\/3 + s + 4253. What is the third derivative of c(h) wrt h?\nAnswer: -3384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = a + 36, 5*a + 4*d + 60 = 0. Let f be (-1)\/(-2)*4 + (a - -18). Solve 5*q - 6*w = -w + 10, 3*w + 3 = f*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 28. Let d = j - -2. Is 6 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333746990 to the nearest integer?\nAnswer: 18269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097249 is divided by 26762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 1:34 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3\/2, -1\/3, -0.04?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**3\/3 - 10*b. Let y(n) = 10*n**2. Determine a(y(o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 7. Let m be t(-10). Let j be 1 - (6\/m + -1). Suppose j = v + 3*q - q, -3*v = -5*q - 1. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 11*n**3 + 0 + 2.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*p - 39. Suppose -2*c = c - p. Suppose c*j = 3*j + 805. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 117?\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -61\/6*m**3 + 31\/5*m**5 - 29 + 0*m**2 - m + 0*m**4. What is the second derivative of v(t) wrt t?\nAnswer: 744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + r - 5. Let q be (-2)\/(-7) - (-104)\/28. Let h(y) = 3 + 2 - q. Determine -a(m) - 4*h(m).\nAnswer: 2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 58*l + 318. Give c(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2 = 2*r, -r - 78*q + 81*q = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11*d. Let j be 95\/((3\/(-27))\/(2\/(-9))). Let w(a) = 94*a - j*a + 93*a. Calculate w(t(n)).\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**8\/l*l**(-5)*l**(1\/4)\/l**(-8))**(5\/6))**12 assuming l is positive.\nAnswer: l**(205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221002 + 11221112?\nAnswer: 12212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 410 - 408. Let w be (2 - (-3 - (-8 + 5))) + y. Solve -2*q + 0*q - 1 = 5*a, 0 = a - q - w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 8. Let l = r - 8. Suppose 0*v + k = v - 8, l = v + 4*k + 12. Solve q = -v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)\/(h*h\/h**(-6\/7)*h))\/(h**5\/h**(1\/2)))\/((h*h**(-5))\/(h**(2\/5)\/h))**(1\/30) assuming h is positive.\nAnswer: h**(-4118\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1 - -3)\/(-2)*(-4 + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*d**3 - d**2 - 175*d wrt d.\nAnswer: 174*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (13 + -3 - -3). Are n and -9 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 27*a**2 + 103*a - 924. Calculate p(-18).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294493 and 99221.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -2\/133, 18, 1\/97?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21733.983s in minutes?\nAnswer: 362.23305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -136 and -19?\nAnswer: 2584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 737\/5 - 148. Let m be (-2)\/(3 + -29)*2. Which is the nearest to 0.2? (a) m (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3194, 4018, 5396, 7328, 9814, 12854, 16448?\nAnswer: 20596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.1, -4\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -695\/11. Let i be 1\/(-2)*(-6)\/3. Are i and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 5:42 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, i: 2, f: 1}. Give prob of picking 2 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 441396, 441397, 441398, 441399, 441400?\n\"Answer: n + 441395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**10*s*s*s**(-4)*s*(s**5)**7 assuming s is positive.\nAnswer: s**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 34. What is x(8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 31*r - r**2 - 17*r + 30*r to v + x*r + g*r**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4411964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 7. Let v be i(6). Let o be 45\/15 + v + -2. Suppose o = -q - q + 506. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 7, 4, -3, 0, 2 in ascending order.\nAnswer: -16, -3, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = -t + 2, 5*v - 20 = -4*t. Let q be (-4)\/t - (-54)\/(-15). Suppose 2*m = 9*k - 4*k + 25, 4*k + 3*m = -20. Which is bigger: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10523342 (base 6) to base 2.\nAnswer: 1001110101010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21442274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 14*s - 103543 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**6\/10 - 3*r**5\/25 - 3*r**4\/10 - 14. Factor w(o).\nAnswer: 3*o**3*(o - 2)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10838*g**3 - 32507*g**3 + 10828*g**3 + 10838*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 0)\/((-15 + 4)\/(-33)). Suppose -5*i - l = -i - 15, 3 = 3*i - 2*l. Suppose 0 = i*n - 0*n - 9. Solve -u - 6 = -n*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-3)\/((-9)\/6). Suppose 2*x - 8 + t = 0. Suppose 0 = -8*a + x*a + 200. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12083 (base 10) to base 14\nAnswer: 4591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 463 - 338. Suppose -j + p = 121. Solve -4 = -2*u + u - 4*z, 2*u = -4*z + j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407 - 1409267488\nAnswer: -1409267895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 121, 94, 69, 46?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -888600 rounded to the nearest 10000?\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 127?\nAnswer: 17526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1 - 11 + 8 + 34*w**2 + 0 + 3. Let f(i) = 14*i**2. What is n(f(j))?\nAnswer: 6664*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*((1 - 1 - p)*(-1 - 2 + 5) - 5*p + 0*p + 4*p + 3*p - 3*p - p - 26*p + 277*p + 27*p).\nAnswer: -822*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + -4 + -1 + sqrt(99) + 1 + (sqrt(99) - (sqrt(99)*-2 + -3) - (sqrt(99) + -4*sqrt(99)*1)) + -5))**2.\nAnswer: -2100*sqrt(11) + 121375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -30*a - 8. Give h(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5930*u + 2134*u + 2642*u)*(1 + 3 - 5)*(u**3 - u + u) + 2*u**4 + 0*u**4 - 3*u**4.\nAnswer: 1153*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z + 3*z - 1178560 = 0. Round z to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4968\/45)\/((-2456)\/1535)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*h, 3*k + 34 = 36*h - 41*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002111 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4 - 429*k**3 - 46224*k**2 - 45796*k = 0.\nAnswer: -214, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9037272 - -26537172. Round a to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k. Let z(j) = 108822*j. Give z(u(l)).\nAnswer: -1088220*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-10)\/(-20)*(-2)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.3 and -0.0594.\nAnswer: -0.67122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -5\/4, 0.439, -6\/35, 0.4, -0.2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/10)\/((-12)\/185))\/((-4)\/32).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94\/3 + -1031\/33. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043450392 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 - 3*b**2 + 2*b + 1. Let l(s) be the third derivative of -s**6\/120 - s**5\/60 + s**4\/24 + s**3\/6 - 15*s**2. Give -l(y) + u(y).\nAnswer: -2*y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((-7)\/(21\/6) + 2). Suppose f = 4*f - 27. Solve -h - v + 6*v - 3 = g, -f = -2*h - 5*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, and 1 y when three letters picked without replacement from {h: 4, c: 4, d: 2, y: 1, p: 5}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3085123*s**5 - s**3 - 7*s**2 + 747778?\nAnswer: -185107380*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 202\/112 + -1 - -25*(-30)\/1750.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v + 8 = 3*g + 39*v, -g + 2 = -v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 28 = 2*f. Suppose -5*w = 4*o - 16, 2*w + o - 4 = f*w. What is the third smallest value in w, -2, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -4 + -5 + sqrt(1573) + -2*-1*sqrt(1573))*4)**2.\nAnswer: -5280*sqrt(13) + 226912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*c**3*d - 4*c**3 + 10*c**2*d - 12996*c**2 + 3*c*d - 3*c - 2558*d - 1 wrt d.\nAnswer: 52*c**3 + 10*c**2 + 3*c - 2558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/5)\/(5\/725). Let v = u + -19. What is the remainder when 35 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 - (7 + -22 + 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.105*0.081\nAnswer: -0.008505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369 - 369 - 171*d**2 - 180*d**2.\nAnswer: -351*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9851, 19720, 29589, 39458, 49327, 59196?\n\"Answer: 9869*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**31\/((n**(1\/2)*n)\/(n**(-4)\/n))*(n**(-2)*((n*n*n**1*n*n)\/n*n)\/n)**5 assuming n is positive.\nAnswer: n**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.9 - 37. Let n = -18.229 - -21.3344. Let g = k + n. Round g to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 938?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 943 - 943 - 17*o**2 - 2 - 2*o**2 + 2 + 3*o**2 - 2*o**2 + o**2 - 2*o**2 + 5*o**2 - o**2 + (o - o + 2*o)*(-3 + 3 + o) + 2*o**2 - 2*o**2 - o**2.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 341*(-10)\/(-155)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = 6. Suppose 1930*d - 1933*d - 5*l + 19 = 0, -2*d = -2*l - 2. Factor k - 3*v**2 + 3\/2*v**d - 3\/2*v.\nAnswer: 3*(v - 2)*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3503 (base 11) in base 14?\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.081 (c) -0.3 (d) 2 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*g**4 + 1449179*g**2 - 1449179*g**2 + (-1 + 1 - g)*(-2*g**3 + 4*g**3 + 0*g**3) as u*g**2 + n*g**4 + r + v*g**3 + x*g and give n.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1241035362842 - 5.\nAnswer: -1241035362847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18532 and 2260?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - v + 60. Let n(u) = -2*u - 23. Let c be n(-14). What are the prime factors of c*(423\/(-12))\/(v\/8)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4630 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 25*b**2 - 26*b + 53. Let x be n(24). Suppose -3*i - 683 = -x*r, -24*i + 22*i = -8. List the prime factors of r.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and -4*(-2 - -3)*3406\/(-52).\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3565800 divided by 210.\nAnswer: 16980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + ((-16)\/6)\/(-1). Let g be 7 - ((-107 - -105)\/((-12)\/(-10)) - -8). Suppose 0*x - z*x**2 - g*x**4 + 4\/3*x**3 + 0 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -28.7. What is j rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -3395?\nAnswer: -3395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m + 15. Let v(k) = 2*k - 7. Let y = -10 - -3. Let t(f) = y*v(f) - 4*g(f). Find the first derivative of t(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*v**3 + v**2 - 55*v - 5223.\nAnswer: -30*v**2 + 2*v - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -653339*i - 556604 wrt i?\nAnswer: -653339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27509\/2 in -0.3, -3, 0.5, -4, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22\/113 - 2247\/1808. Find the common denominator of -133\/30 and b.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 4*w + 2*w)*(-28 - 28 + 13)*(53*w + 78*w - 6*w) to g*w + j + z*w**2 and give z.\nAnswer: -5375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p + 16*p - 23*p + 51*p. Let a(l) = 2*l**2. Determine a(h(v)).\nAnswer: 5618*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 898, 1996, 3228, 4600, 6118, 7788, 9616?\nAnswer: 11608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/55864 or 0?\nAnswer: 1\/55864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 25*d. Let u(k) = -20*k**2 + 7*k**2 + 10*k**2. Calculate w(u(p)).\nAnswer: -75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54809\/8 - -6851. Which is the smallest value? (a) p (b) 3\/5 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 4*h - 286, -11*r + 8*r + 30*h - 178 = 26*h for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 935700 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 (base 7) in base 9?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:57 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqdqqdqkqqqqqqqddqd. What is prob of sequence kkd?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + -2. Let y = 93 - 52. Let g = y + x. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454427293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*h = 136, 5*b - h = h + 164. Let w be (0 + 12\/b)\/((-6)\/(-8)). Suppose -1\/6*l**3 - 1\/6 - 1\/2*l**2 - w*l = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 7 + 23. Let x be (3\/3)\/((-7)\/(-14)). Find r such that -2*r**2 - l + 0*r**2 - r**x - 9*r = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 5 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 101*g + 0 - 91*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3467*q**2 + 172*q + 4. Let v(y) = 3468*y**2 - 206*y - 5. Calculate 6*l(m) + 5*v(m).\nAnswer: -3462*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 7, 4, 643, -4 in ascending order.\nAnswer: -4, -2, -1, 4, 7, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z - 56 = -l, 0 = 4*l - z - 224. Calculate the remainder when l is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10395 is divided by 3463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from {o: 1, l: 2, s: 2, d: 1, a: 4}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) -17.2 (c) -4 (d) 0.28 (e) -2\/5 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 7*c - 81 - 12 = i + 4*c - 3*c, -3*c = 102*i + 936 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(6)\/(sqrt(243) + (sqrt(243) - (sqrt(243)*-2 - sqrt(243)))).\nAnswer: sqrt(2)\/45 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 2*f - 3. Let o be l(-4). Let s be 14085\/o + (-4)\/(-6). Let j = 2095\/4 + s. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**2 + 451*c + 4442. Give v(84).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/(112\/(-24))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42588.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 7*o**2 - 11*o + 3. Calculate s(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49402537213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2. Let q(a) = a. Let m(c) = -5*c - 2. Let h(i) = m(i) - 6*q(i). What is f(h(u))?\nAnswer: 242*u**2 + 88*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**8\/6720 + i**7\/630 - i**6\/180 + i**5\/30 + i**4\/6 - 3*i. Let f(l) be the third derivative of h(l). Calculate f(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 9*z + 3. Suppose 2*b + 0*b - 28 = 2*l, 3*l + 45 = 4*b. Is 21 a factor of v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -442903 - 59.\nAnswer: -442962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 5*p**2 - 3*p + 4. Let k be o(-4). Let a = k - -10. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42695 + 42792.836. Let r = -98 + l. What is r rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q = 19*q + 932. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.9268 + -16.75. Round h to two dps.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(143)*-2*3)\/(sqrt(396)*-2 - sqrt(396)).\nAnswer: -1 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.18 + 4.385. Let z = p + -3.1. Let c = 0.10421 - z. Round c to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1792, -7161, -16102, -28609, -44676, -64297, -87466, -114177?\n\"Answer: z**3 - 1792*z**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356\/(-3164)*(-84)\/(-20)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 10:03 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18284.6 - 27636.7. Let v = o - -8981. What is v rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 17*j + 1424 = 0. What is the remainder when j is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nndjnnnnjkmkdjj. What is prob of picking 1 j and 1 m?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/18 and 1 + -6 + 1 - (-10827)\/2106.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-54))\/((-60)\/5)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.1, 0, 2\/13, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 17. Calculate the highest common factor of 6 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((1\/3)\/(-1))\/((-920)\/1242) and 29\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3231460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7737 divided by -9757.\nAnswer: -7737\/9757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -5*b + 9*b. Suppose 0 = -5*i + b - 13. Calculate the remainder when 394 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:54 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -5, 5 in ascending order.\nAnswer: -17, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -16714*c + 10187*c - 11419*c in the form p + w*c and give w.\nAnswer: -17946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 759 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + 102?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*h + 4 = 7, 3*x + 9 = h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 - 3)*(k**3 - 5*k**3 + 5*k**3) + k**3 - k + k + (0 + 0 - k**2)*(3*k - 5*k + 4*k) - 2*k**3 + 2*k**3 - 2*k**3.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2*g + 6*g + (-3*g + 6*g - 2*g)*(2 - 5 + 4) - 77 + 77 - 153*g)*(-2*g + 2 - 2).\nAnswer: 302*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.284 times 519?\nAnswer: -42186.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(15 - 29)\/28.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 122, 124, 126, 128, 130, 132?\n\"Answer: 2*c + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**5 + 15356*f**4 + 758168*f**3 + 1393552*f**2 - 3032736*f - 5819904 = 0?\nAnswer: -3789, -48, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 614199 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2599, -4753, -8341, -13357, -19795, -27649?\nAnswer: -36913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/175 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 5 (c) -2\/5 (d) 0.5 (e) -197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270585 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -283.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - g = 4*g - 13, 3*g - 24 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4*q*q\/q**8*(q**(-2\/7))**(-23)*((q\/q**5)**19)**(-5\/6) assuming q is positive.\nAnswer: q**(1426\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 6*r**2 - 7*r + 33. Let a be y(3). Solve -4*m + 59 = a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + sqrt(637))*-1)**2.\nAnswer: 504*sqrt(13) + 5877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9197.341 micrograms in milligrams?\nAnswer: 9.197341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(176) + 0 + 1 + -4*sqrt(176)*1)**2.\nAnswer: -4755 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 3*r - 6*r)*(3 - 2*r - 3 + (0*r + r - 3*r)*(2 - 3 + 2) + 7*r - r - 3*r + (12*r - 4*r - 3*r)*(-1 + 2 - 4)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 864, 877, 904, 951, 1024, 1129?\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {e: 9, g: 4, l: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2334390956?\nAnswer: 2, 583597739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 + 17*c**3 - 8*c**3 - 18*c**2.\nAnswer: 9*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.07, 0.5, 5, -6, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2, 277, -78, 7, 2\/11, 2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -11.4. Suppose -3*t + 58 = 4*f, 5*f = -0*f - 2*t + 76. Let j be ((-28)\/f - -2) + 0\/1. What is the nearest to -1\/4 in n, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/42)\/(5\/(-45)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:28 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2219748 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 234\/(-63)) + (-3604)\/(-70) - (-1314)\/730?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 0, 6 = -z - 2*s - 0. Let g = -4 + 6. Solve -1\/2*h**4 + 0*h**g + 1\/2*h**3 + z + 0*h = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -0.1, -0.99, -0.3, -4, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-60)*1)\/(((-102)\/(-180))\/(-17)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 19*p**2 + 15*p - 21. Let q be f(10). Suppose -2*v - 5*k + 57 = 0, 19 = 3*v - 5*k - q. Solve 2*u = -5*o - 11, -5*o = -2*u - u + v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.1 plus 194?\nAnswer: 217.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*t - 298*t - 1 + 1 - 403*t in the form p*t + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(171))\/sqrt(9)*2)**2.\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 4 (c) 0 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(121)\/(sqrt(44)\/sqrt(4))*-3 + sqrt(539) + -1 + sqrt(539) + 1 + -4)**2*-2.\nAnswer: -2680 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725*a - 729*a + 2*a**2 + 1454*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 4*s + 2*s**3)*(3 - 2*s - 3) + 132*s**3 + 106*s**3 + 234*s**4 - 240*s**3 as r*s**4 + d + t*s**2 + w*s**3 + i*s and give r.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((-17)\/((-17748)\/(-232))).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 1)*((1 + 0 + 3)*(-3*j + 4*j - 2*j) + j - j - j) + (-4*j + 55 - 55)*(1 - 5 + 3) as u*j + m and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-18)\/q*q**(-1\/8)*(q**0)**(-41) assuming q is positive.\nAnswer: q**(-153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/i**9)**(9\/2) assuming i is positive.\nAnswer: i**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 bigger than 4953804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1502 smaller than -2008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**2 - 5 + 0*u**3 + 0*u + 1\/60*u**5 + 0*u**4. Let j(k) be the second derivative of c(k). Let l(f) = 4*f. Give j(l(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*c - 78*c + 12. What is the remainder when 387\/3 - (c + -10) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o - 1. Let b be n(0). Let t(w) be the first derivative of -2*w**2 + w + 9. Calculate t(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227527 is divided by 3297?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2627*t + 2558*t - 1 + 1.\nAnswer: -69*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 - 0.1. Let q = -3.05 - h. Let m = q + -0.15. What is the second smallest value in 2\/5, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 4*i**2 - 6*i - 6. Let j = -15 + 11. Let l be y(j). Solve -3*x - l = -3*f, f = -f - 3*x - 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2700 and 120420.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 3:29 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.012 - 0.012. Let r = 631 - 638. Which is the smallest value? (a) g (b) 2 (c) -1\/3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/4 - -2 - -3. Let m(a) = -2383*a**2 + a. Let h be m(q). Is (-9)\/6*h\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-429.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 - 1139450?\nAnswer: -1139448.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -4. Let w(a) = a**3 - 7*a**2 + 9*a - 5. Let h be w(q). Let m = 1 + h. Solve 5*v - 8 = -u, 4*u - u - 4*v + m = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = -8. Let y(w) = -3*w**2 - 7*w - 4. Let m(a) = -2 + a + a**2 - 5 + 11 - 3. Let o(g) = l*m(g) - y(g). Determine o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 + 6356*p\/13 - 608406\/13.\nAnswer: 2*(p - 93)*(p + 3271)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41586330, 41586315, 41586282, 41586225, 41586138, 41586015, 41585850?\nAnswer: 41585637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*d + 33*d - 108*d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -171, -341, -511, -681, -851, -1021?\n\"Answer: -170*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 1.2400565.\nAnswer: 4.960226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 537 or 535?\nAnswer: 537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*o - 1 + (1 + 4 - 3)*(-2 - 2*o + 2) + 28*o - 579 + 579 to n*o + w and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 2*y**2 - 3*y + 2. Let q be u(3). Suppose 5*m - 9 - 17 = -2*o, 0 = -3*o + q*m + 1. Solve -2*h - 2*h - o*b = 16, b = -3*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 9*h**2 + 11. Determine u(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 6*r**2 + 2*r - 3. Suppose -9*k - 988 = 10*k. Let z = k - -46. Calculate h(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26867094 to the nearest integer?\nAnswer: 5183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1622756?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 433 = -4*m + 429, m + 25 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 211112 (base 3) to base 8\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*t + 32 = q, 0 = 5*t. Suppose 807 + 295 - 5966 = -19*j. What is the greatest common factor of j and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18, 27, 36, 45?\n\"Answer: 9*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -35*b**5\/2 + 4925*b**4\/2 - 44195*b**3\/2 - 51985*b**2\/2 + 443765*b + 128380 = 0.\nAnswer: -4, -2\/7, 7, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:17 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -72.8649 * -0.1\nAnswer: 7.28649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 120.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4 + 524*f**3\/3 + 16897*f**2\/9 - 5764*f\/9 + 484\/9.\nAnswer: (f + 22)**2*(6*f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23730094 to the power of 1\/2, to the nearest integer?\nAnswer: 4871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 14) to base 9.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*s - 36*s + 43*s**3)*(-4*s**2 + 4*s**2 + 2*s**2) + (-2*s**4 - 2*s**2 + 2*s**2)*(-s - 2*s + s) + 0*s**5 - 2*s**5 + 4*s**5 + s - s + 3*s**5.\nAnswer: 95*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1173, 4701, 10581, 18813, 29397?\nAnswer: 42333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 13)*(-1 + 1 - i) to the form c*i + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/150, 3, 0.5, 0.2, 682, -5?\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-2 - 0 - (-20 - (-7 + -10))) + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*l - 5440 = -125*l. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 6:34 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/((-24)\/(-39))*38. Suppose -5*d + 81 = 4*r, 0 = -6*d + 5*d - 3*r + 25. What is the highest common divisor of i and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**3 - 6*h**3 - 2*h**3)*(0 - 2 + 0 - 3 + 4 + 0 + (3 - 4 + 0)*(-1 + 2 + 0) + 0 - 3 + 1 + 0 + 1 + 0) in the form v + b*h**2 + w*h + l*h**3 and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*n + 7. Suppose -2*z - 4 = -2*w, -n*w - 30 + 1 = 4*z. Let y(a) = a**2 - 2. List the prime factors of y(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 6*z - 7. Let n be i(5). Calculate the common denominator of n - 1 - 388\/(-40) and (-93 - 1)*2\/72.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 12043*u - 240835\/4.\nAnswer: -(u + 5)*(u + 48167)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = -5*t, 4*t + t - 5 = -5*x. Let g(m) be the second derivative of -m**4\/4 + m**3\/3 - m**2\/2 + 26*m - 1. Calculate g(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -118. Let d be (1\/2)\/((-5)\/h). Let w be (d\/5)\/(4\/(-30)). Solve 3*f - z = w*f - 11, -2*f + 9 = -z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tftttnffftttff. What is prob of sequence nt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3178 and 252.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o. Let s(z) = -5*z**2 + 3. Let x(f) = f**2 - 1. Let i(a) = -2*s(a) - 6*x(a). Calculate i(n(m)).\nAnswer: 324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127361474 is divided by 3305?\nAnswer: 3299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, -47395 in increasing order.\nAnswer: -47395, -3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l + 0*l + 18*l.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 202 + -220 - (-3 + -34)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/40 - 11*l**5\/10 + 57*l**4\/8 - 1234*l**2. Let n(m) = 0. Calculate m.\nAnswer: 0, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196590 and 131060?\nAnswer: 393180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(40\/10) + 4\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 137.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -173935 + -34?\nAnswer: -173969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 606 and 13029?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2567 + -2568. What is the second biggest value in n, -609, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -527, -5, -4, -1\/4 in ascending order.\nAnswer: -527, -5, -4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*k**2 + 22*k + 1175?\nAnswer: 18*k + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038*k + 14760 = -807*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819.\nAnswer: 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 5*t**6\/3 + 7*t**3\/3 + 12*t + 365. What is the third derivative of v(p) wrt p?\nAnswer: 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161 - -358. Suppose -l + 35 = -y. Let g = y - 75. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15468.9 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-37)\/((-740)\/92 - -8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8952.229503 rounded to the nearest 100?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/6*-3*0. Suppose w*f + 3 = f. Suppose -f*d = -d - 15200000. Round d to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/12, -0.1, 0.3, 0.\nAnswer: -0.1, -1\/12, 0, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, l: 4, o: 1, y: 1}. What is prob of sequence gol?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 281076?\nAnswer: -5\/281076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + u = 81, -2*u - 24 - 69 = 5*j. Let t = -17 - j. Suppose -5*o - 10 = t, b - o = -4*o + 4499994. What is b rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*q + 3*r + 4 = 56*q + 81, 3*q + 180 = 6*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 73*m + 794. Determine i(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**4 + 25*j**3 - 10*j**2 - 40*j = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:38 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*v = 10, 0 = 3*r + 4*v - 5*v - 6. Let b be r*((2 - -17) + 1). Suppose -d - 3*d = -40. Calculate the greatest common divisor of b and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, 922, 5\/377, 0.5, -0.1?\nAnswer: 922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.9 + 36.9015. Round a to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 29. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -12*f + 399. List the prime factors of f.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130.3 - 128.4. What is the closest to -1\/12 in g, 3, -2\/23, 4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4634.23 years to decades.\nAnswer: 463.423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -6*d + 126, 20*d + 46 = b + 56*d + 160 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r - 2*h = -1, -h + 13 = 2*r. Suppose 2*q = -r - 3. Let s(z) = 3*z + 6. Calculate s(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106251554?\nAnswer: 2, 53125777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 53.36.\nAnswer: 106.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 21*x**2 - 33*x + 340. What is u(-23)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**7\/168 - 209*c**6\/120 + 1027*c**5\/5 - 36166*c**4\/3 + 984256*c**3\/3 - 913952*c**2 - 17*c + 6. Let b(w) = 0. Calculate w.\nAnswer: 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**4 + 10*p**3 - 8*p**2 - 22*p + 15. Let q(s) = 8*s**4 - 9*s**3 + 7*s**2 + 23*s - 15. Let u(f) = 7*b(f) + 6*q(f). Factor u(o).\nAnswer: -(o - 15)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*y + 22 = -5*y, -4*y + 11 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -532800 divided by 12\nAnswer: -44400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7155, -2 in ascending order.\nAnswer: -4, -2, 7155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**5\/15 + m**3\/2 + m**2 + 3. Let x(g) be the second derivative of z(g). Differentiate x(a) with respect to a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -845*k**2 - 5*k + 4. Let p be q(1). Let m = -253 - p. Suppose u = 4*r + 101, 0*r + 2*r - m = -5*u. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (102\/425)\/((-3)\/20)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c + 8. Suppose 2*a + 2*a = c. Suppose -p - a = -3*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p. Let q = -1 + 3. Let l(b) = 6*b**2 - 7*b**q - b**2. Determine s(l(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, 0, 5, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -4, 1\/8, -178, -1, 2\/11 in decreasing order.\nAnswer: 2\/11, 1\/8, -1, -4, -40, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**4\/8 - 2*v**2. Let c(t) = -t. Let q(m) = m. Let u(y) = 5*c(y) + 4*q(y). What is r(u(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 + -2.86. Let z = 16 - b. Let q = z + -14. What is the closest to -1 in -3, q, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36847.\nAnswer: 36847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*t + 90*t + 5984 = 92*t for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*p = 49 + 383 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, w: 2, k: 2, v: 2, x: 1, l: 2}. Give prob of picking 1 k and 2 l.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48602*f + 2*f**3 + f**2 - 4*f**3 - 48606*f - 16 to the form t + y*f**3 + n*f**2 + m*f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.293? (a) 3 (b) 9.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -26, 24, 102, 214, 366?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29\/177 - 1\/354. What is the second smallest value in -0.2, 11\/21, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*y**3 + 155*y**3 - 359*y**3 + 86*y**3 + 29 + y - y.\nAnswer: 3*y**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 84222 divided by -6\nAnswer: -14037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116 + 116 + 2*d + 46*d**2 + (4 - 4 - 3*d)*(-d + d + 2*d) to j*d**2 + z*d + q and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 10 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 124.4 to the nearest integer.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/24)\/((-1)\/4). Find the second derivative of -f**3 + 5*f**3 + 15*f - 14*f - f**y wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**6\/60 + w**3\/6 + 3*w**2\/2 + 3. Let k(n) be the second derivative of b(n). Differentiate k(t) wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**(-37)\/(k**7\/k**5))\/(((k\/(k\/k**3))\/(k*k\/(k**6\/k)))\/(k**(-8)\/(k**5\/k))) assuming k is positive.\nAnswer: k**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.68 - -0.22. Let w = -1 + r. Let i = 18 - 21. What is the third smallest value in w, i, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 1. Let n be q(7). Let f = 270 - 289. Are f and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-285))\/(14\/(-15)*((-324)\/(-63))\/3).\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1019 + 1019. What is the third biggest value in i, -1, -6\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-576)\/(-20))\/(-4) - (240\/50 - 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*s - 918 - 29200 = 0 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 69. Let s be j\/15*20\/(-4). Factor 4*m**4 - 4*m**3 + 32*m - s*m**2 - 67*m + 39*m.\nAnswer: 4*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/7)\/(27\/126). Suppose 2*g - 10 = 0, 2*v + g - m = 5. Let q(r) = -r**3 + 3*r**2 - r + 2. Let l be q(v). Solve -l*f - 2 = 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/21206808 and -23\/126.\nAnswer: 21206808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**2\/7 - 940*u\/7 - 5496\/7 = 0.\nAnswer: -229, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -497, -539, -605, -695, -809?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7791975 to the power of 1\/2, to the nearest integer?\nAnswer: 2791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14449464?\nAnswer: 2, 3, 101, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 0*o**2 + 0*o**2)*(2*o**2 + 0*o + 0*o).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24134661401378 - 3?\nAnswer: -24134661401381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4721*o**4 - o**2 + 39*o**3 + 4262*o**4 - 39*o**3 - 602 wrt o.\nAnswer: -1836*o**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7316 + 18433 = -650*t + 9601 - 8552 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25707 and 4573140?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 7:04 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.149 plus 344?\nAnswer: 344.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905 is divided by 210?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17940697 and 1?\nAnswer: 17940697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3\/8, 0.2, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1884, 1946, 2008?\n\"Answer: 62*j + 1822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198103 is divided by 24761.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:54 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 294*v - 6126. What is q(21)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -118, -128, -86, 20?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b - 7. Calculate g(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3580 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*u + 5*u. Let h be (u\/(-6) + 2)*-3. Solve -5*f - h*g - 16 = 0, 3*f + 4*g = -1 - 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u + 0*u)*(1 - 1 + 4*u**2)*(3*u - 3*u + u**2).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 11) to base 2.\nAnswer: 1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3557, 7021, 10403, 13703, 16921, 20057?\nAnswer: 23111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcutucgcltccutu. Give prob of picking 2 t and 1 l.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -59, -10906, -1\/4?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 - 7*i + 7. Let h(w) = -536 + 5*w + 0*w**2 + 531 + 4*w**2. What is -7*h(t) - 5*o(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160138 - -8328011\/52. Let d = a - -48\/13. What is the common denominator of 47\/6 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3\/219211 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -42063 (base 7) to base 2\nAnswer: -10100001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -144, -147, -148, -147, -144, -139?\n\"Answer: y**2 - 6*y - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-195)\/(-380))\/(-13))\/(24\/(-32))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -215. Let c = d + 176. What is the remainder when c is divided by 2\/(-8) + (-33)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-7 + -35 + 20 - -8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:52 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-74524)\/(-1736) - (-215)\/(-5)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 6*m**2 + 6*m - 10. Let l be 2\/(-10) + 646\/(-95). Let x be j(l). Let f = -0.06 - -4.06. Which is the smallest value? (a) x (b) 1\/6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 11. Let t be b(10). Suppose 0 = p - 4 + t. Suppose 0 = 3*i - p*r - 36, r - 3*r + 31 = 3*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(304)*-6*3)**2*5.\nAnswer: -4320*sqrt(19) + 1969965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -11. Suppose -1 = -2*v + j. Let f(d) be the second derivative of d**4\/12 - 5*d**3\/6 + d**2 - 7*d + 3. What is f(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211201220211 (base 3) to base 8.\nAnswer: 3570054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -17 + 12 + -1 + -43?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55343 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4994, -4809, -4624, -4439, -4254, -4069?\n\"Answer: 185*l - 5179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 930.2885 minutes?\nAnswer: 55817310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1749 divide 891990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5613, -6639, -7625, -8553, -9405, -10163, -10809?\nAnswer: -11325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1122508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1)*(0 - 1). Let b be p\/((-5)\/(-30)*-2). Sort -2\/11, b, 5\/6 in decreasing order.\nAnswer: 5\/6, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 200*s**2 - 9*s - 13. Let q be p(-2). Suppose -q - 227 = -8*t. List the prime factors of t.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.993 millimeters in micrometers?\nAnswer: 25993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -4 - 1\/2*b**5 + 3*b**2 - 14\/3*b**3 + 0*b - 19\/8*b**4 - 1\/120*b**6. Factor i(q).\nAnswer: -(q + 1)**2*(q + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 6*u. Suppose -6*f - 41 - 55 = u. Let q be (-2)\/5 - f\/20*23. Calculate the greatest common divisor of q and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -5\/12*h**4 + 15\/2*h**3 + 25*h**2 + 0 - 18*h. Factor q(n).\nAnswer: -5*(n - 10)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -453\/11 + 41. Sort 1\/5, -0.4, -9\/2, v in descending order.\nAnswer: 1\/5, v, -0.4, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*m + 0*m = 71, 4*w + m - 177 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20134447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 67132 = -5*l + 22*l. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 3*a + 1. Let d be (-20)\/(-30)*3*1. Determine l(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4874891 to the nearest integer?\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125665.\nAnswer: 5, 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*f + 3 = 0. Suppose 0 = 5*j + 5, -3*j = -5*q + 7 - 4. Suppose -c - f*c + 156 = q. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 3*x**2 + 12*x + 17. Does 31 divide o(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 16*c**2 + 66*c + 66. Let u be i(-10). Solve -23 = -4*v - f, u = -3*v - 3*f + 21 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**8\/1680 + m**4\/8 + 2*m**3\/3 + 4. Let i(x) be the third derivative of j(x). Find the first derivative of i(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16732943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*r + d - 17, 18 = 2*r + 4*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 4. Let r(j) = -7*j - 4338. Determine r(i) - 5*v(i).\nAnswer: -2*i - 4358","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18167 and 123063258?\nAnswer: 123063258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -52 - -165 - (7 + 0) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 8. Let m be g(-10). Is 3 a factor of m\/3 - 34\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*j = -2566, -17*x + 6*x + 3*j = -14081. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4381486?\nAnswer: 2, 193, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1708 and 273532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1141 in 0.5, 0.11, -11\/9?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*q = -5*m - 337*q - 28, 0 = -3*m - 6*q - 87 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - 5*w**4 + 4*w**4 + (2*w**3 - 2*w**3 + 2*w**3)*(4 - 4 + w) + w**4 + 2*w**4 - w**4 + (0*w**2 + 0*w**2 - 2*w**2)*(0*w**2 - 5*w**2 + 3*w**2).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*1*(-1 + 0)*691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102375)\/(-1680))\/(-195)*4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7548762 and 624?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 (base 11) in base 5?\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -839, -1666, -2483, -3290, -4087, -4874, -5651?\nAnswer: -6418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 12 = 5*s + 4*y, -y + 3 = -4*s. Suppose s = -5*i + 7*i. Suppose -5*z = -i*b + 2*b - 15, 0 = 5*b + z - 72. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 9*w - 60 = 4*w, k = 2*w. Suppose 6 = k*f - 26. Suppose 13 = 3*a - f*h, -a + 3*a - h = 2. Put -3, 2, a, 1 in decreasing order.\nAnswer: 2, 1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 23*b\/3 - 205\/6.\nAnswer: -(b - 41)*(b - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1484096 = -75*d + 240679. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0 (c) 3 (d) -47 (e) 96 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*p - 16 - 5 + 0 wrt p.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4570.18079 rounded to the nearest 10?\nAnswer: -4570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 8*v**7\/7 - 13*v**3\/3 - 7. What is the third derivative of w(n) wrt n?\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/7 - 3628*q**2\/7 - 9793*q + 72180\/7 = 0. What is q?\nAnswer: -3609, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14 - -2)*(-460)\/4830. Factor 4\/7*s - 24\/7 + g*s**2.\nAnswer: 4*(s + 2)*(2*s - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 5, b: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-2\/115)*((((o\/(o*o*o\/(o*o**(-1\/4))*o))\/o)\/o)\/o)**(-2\/25) assuming o is positive.\nAnswer: o**(503\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.537269ml to litres.\nAnswer: 0.001537269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + sqrt(76) + -1 + 0 - -6*(sqrt(684) + (sqrt(684) + sqrt(684) + -2)**2 + (sqrt(171) + sqrt(171)*-2 + sqrt(171))\/sqrt(9)).\nAnswer: -250*sqrt(19) + 16437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 599047 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72034.55ml in litres?\nAnswer: 72.03455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 26) + (1 - 8) + -11 + -6?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 8:52 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 5. Let v be d(0). Let n(p) = -5*p - 72. Let j be n(-16). Is v*4 - 32\/j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + 1*(2 + (1*sqrt(200))**2*5*-1))*1.\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53\/5 - -10. Suppose 2*z + 20 = -4*l, 2*l = 7*z - 3*z - 10. What is the nearest to x in 1\/4, l, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67107738 divided by 2.\nAnswer: -33553869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2992579 divided by -41?\nAnswer: 2992579\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5168 (base 9) in base 6?\nAnswer: 25312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -495*a**2 - 10*a + 17. Let b be o(4). What is the common denominator of 2*((-5)\/1 - b\/2256) and -37\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.9917 - -21. Round z to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 733847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4*v = -45. Let s be v*((-816)\/(-20) + -3). Suppose 5*x + 122 = s. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**2 + 11*t - 7. Let f = 8 + -13. Let k = f - -4. Let w(o) = o**2 - o + 1. Let d(m) = k*q(m) - 3*w(m). Find s, given that d(s) = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 14*r**2 - 22*r - 25. Let j be i(12). Is 3\/575 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -9 - 39. Solve -h = -5*c + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-8)\/(-10) - 128\/(-240))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-2 - -10) + 0). Let p be n\/10*(-6)\/(-8). Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 314, 389?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 10:27 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k = -15 - 594. Suppose k*y - 419 = 652. Calculate the least common multiple of y and 108.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -211*k + 3119 - 1009 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103699*f**2 + 15*f - 118018?\nAnswer: 207398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 750, 1057, 1352, 1629, 1882, 2105, 2292, 2437?\n\"Answer: -o**3 + 314*o + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -241.0698 - 0.3502. Let v = r - -244. Let f = -2.7 + v. Is 1 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 2:32 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3232 (base 8) to base 13.\nAnswer: a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u + 14. Let h(d) = d - 1. Determine 3*h(s) + q(s).\nAnswer: -3*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 16*r + 6. Let w be ((-4)\/3)\/(-8 - 588\/(-72)). Let n be q(w). Solve 11*o = n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52896487 is divided by 1653015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 3. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 12 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -18 + 3 + 18 - 7 - 4*h**2. Calculate o(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1004*u**2 + u**3 + 2*u**3 - 884*u**2 - 120*u**2.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -y - j + 37, -y + 40 = j. Suppose -3*x + 17 = -7*x - 5*h, -2*x - 2*h = 6. Calculate the remainder when ((-13)\/y)\/(x\/(-174)) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -631 divided by 739?\nAnswer: -631\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/738 or 0?\nAnswer: -11\/738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 422 - 597. Let m = -298 - p. Let s = m - -122.99923. What is s rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:00 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9828 divided by -756?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 11:01 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 611530 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2966.523 - -2970. Round m to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10170683 is divided by 484318.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 982536557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**6\/30 + 113*w**5\/60 - 859*w**4\/24 + 587*w**2 - w. Find the second derivative of v(p) wrt p.\nAnswer: 24*p + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5\/30*-141*(-452)\/452.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664925811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23401.\nAnswer: 7, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 388, -20, -4.7 in decreasing order.\nAnswer: 388, 2\/9, -4.7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*c**3\/5 + 12*c**2 + 46*c\/5.\nAnswer: 2*c*(c + 1)*(7*c + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 28 + -23 + -10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(50)\/sqrt(5) + sqrt(10)) - sqrt(49)\/(sqrt(7)*-1 + sqrt(7) - sqrt(7)))*-2.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 887 + -86917\/98. Find the common denominator of p and 95\/154.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340 (base 16) to base 11\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/17? (a) 3\/5 (b) 3 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Let b(f) = 4. Let p(c) = c - 36. Suppose -16 + 160 = -4*z. Let j(n) = z*b(n) - 4*p(n). What is j(g(u))?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3178 + 3200. Solve 0 = -a + w - q + 23, 0 = 4*a - 3*w - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 1177*p**7\/210 + 961*p**4\/6 - 2261*p**2 + p. Find the second derivative of v(o) wrt o.\nAnswer: 14124*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d - 46. Suppose -2*g - g = -30. What is the least common multiple of r(15) and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1355 - -0.0355. Let g = -7.9 - -2.9. Which is the third biggest value? (a) y (b) g (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -390.\nAnswer: -1\/390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042 times -55?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/15)\/((-4)\/10) + 32. Let h = w + -29. List the prime factors of (0\/(-2))\/h + 35.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -706 + 706. Solve 5 = -2*n - 2*y - 3, q = -2*n - 5*y - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 22*g**2 + 6340*g - 4818. What is j(-289)?\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67484, -67482, -67480, -67478, -67476, -67474?\n\"Answer: 2*t - 67486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 20 - 2) + (3 + -4 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 43*g + g + 15*g - 43*g. Let d(v) = 10*v. Give d(w(k)).\nAnswer: 160*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -15648.22 to the nearest 10.\nAnswer: -15650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 - 3*d + 5. Let u be 136\/(-72) - (-1)\/(-9). Let q = -1 - u. Let k(r) = r - 1. Give q*h(s) + 4*k(s).\nAnswer: -2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -12*q + 1. List the prime factors of k(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1335, 5154, 11511, 20400, 31815, 45750?\nAnswer: 62199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 0 (c) -4463 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 8*m + 8. Suppose 120*y - 16271 + 1991 = 0. What is the remainder when y is divided by o(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*f**3 + 18*f**3 - 36*f**2 - 35*f + 10*f**3 - 61*f - 64.\nAnswer: -4*(f + 1)*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q + 7*q - q**3 - 2 - 5*q**2 + 5*q + 4. What is a(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x**2 + 3*x**2)*(x + 2*x - x + (-2*x - 2*x + 2*x)*(0 + 2 + 0) + 3*x + 11*x - x).\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 7*y**4 - 21*y**3 - 135*y**2 + 216*y + 324.\nAnswer: (y - 3)**2*(y + 1)*(y + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 + 11.1. Let m = -36 + 22. Let b = m + j. What is the second biggest value in 2\/9, b, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g - 56*g + 135 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 2 (c) -2\/15 (d) 5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 548180489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, -11, 15, 61, 133, 237?\n\"Answer: x**3 + x**2 + 2*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {o: 4, w: 1, a: 2, x: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 64524 = 64501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 24. Let m = 8.1 + a. Let w = 5 + -4.9. Which is greater: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/191389 and 6\/1397.\nAnswer: 191389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 123, 226, 367, 552, 787, 1078, 1431?\nAnswer: 1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 0*x - 4*d + 53 = -0*x, -x - 7*d = 5*d - 143 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, k: 1, i: 5, r: 6, e: 1}. Give prob of picking 2 g.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b - 15. Let x(i) = i**2. Give x(a(v)).\nAnswer: 81*v**2 - 270*v + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyt when three letters picked without replacement from {t: 2, j: 8, f: 4, y: 5}?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 3905.843\nAnswer: 5858.7645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 3:05 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 4*r**2 + 0*r**2 + 15*r**3 - 16*r**3.\nAnswer: -r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (0 - (-21)\/26). Let g be 13 + (-2422)\/(-1092)*-6. Let j = a + g. What is the nearest to j in 2\/15, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k + 30 - 29 + 31 + 33*k - 115*k + 35*k.\nAnswer: -k + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 32. Let i(r) be the third derivative of 0*r + 3*r**2 + 1\/12*r**4 + 0 - 1\/20*r**s + 0*r**3. Find the second derivative of i(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1432*f + 434. Is c(7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 178 = -4*l, 125 = -7*l - 7*g + 92 - 226 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 40. Let y = -0.0391 - -98.0391. Is y < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1328348896 to the nearest integer?\nAnswer: 36447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 28 - 20*z + 5\/2*z**2. Let v be g(5). Solve -4 = u - v*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*n - 20. Let z = 24 + 6. Calculate the remainder when z is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -4, -2, 1\/4, 0.8 in increasing order.\nAnswer: -64, -4, -2, 1\/4, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 6 + 3)*(-1108*d + 1135*d + 6028*d + 5476*d) in the form f + z*d and give z.\nAnswer: 23062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnm when three letters picked without replacement from {n: 13, m: 3, w: 4}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1\/3*m**3 + 0*m**4 + 0 + 3*m**2 - 1\/6*m**5 + 0*m. What is the derivative of q(v) wrt v?\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34431 = 60*k + 30651 for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128 - -81. Let u = 28 + i. Let q = 19.1 + u. Which is smaller: 0.7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*b - 2 - 24*b + 0 in the form i + j*b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 6*c + 4. Suppose -10 = 3*t + 8. Calculate f(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-222))\/((-869)\/(-32153))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.552 rounded to 1 dp?\nAnswer: 22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -23ac?\nAnswer: 23a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 65*o - 70.\nAnswer: 5*(o - 14)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 32.013. Let g = o + 2.937. Let x = g - -0.05. What is the second smallest value in 2, 1\/2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 241, -5, -3 in ascending order.\nAnswer: -5, -3, -1, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1080 - 874 = -2*t, -1552 = -4*a + 4*t. Calculate the greatest common factor of 8450 and a.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32725437 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + f + 59, 3*u + 9*f - 195 = 6*f. Let w = 1 + 3. Suppose -3*v - u = -2*y + 111, 357 = w*y + 5*v. Calculate the highest common factor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-8) + 6)*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198697135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 81 + -2 + -26 - 0?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2. Let k(s) = -66*s**2. Let a(t) = -5*t**2. Let i(m) = 27*a(m) - 2*k(m). Calculate 4*i(p) + 5*o(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 41*w - 129. Let y be r(-16). Suppose -y*b + 12*b - 12 = 0. What is the third smallest value in b, -3\/7, -2, -2\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11531\/379 > -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.048, -1\/12, 2.31, -1.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 24 = -4*j - 0*j, -2*j + 4*s - 2 = 0. Which is the closest to 5? (a) 3 (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9e164 + 4?\nAnswer: 9e168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137 or 13697?\nAnswer: 13697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 965, 1928, 2891?\nAnswer: 3854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111113 - -10?\nAnswer: 111123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058228?\nAnswer: 2, 61, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23681\/2 + 11840. Sort -18\/7, -2, s in increasing order.\nAnswer: -18\/7, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 + 379*r - 2471. Determine w(8).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 - -237. Suppose 3*k + 5*d = -178, 197 = -5*k + 4*d - 112. Let j = k + f. Calculate the highest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -2280\nAnswer: 2284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 1593?\nAnswer: -1590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -722.93893125 + 157\nAnswer: -565.93893125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f**3 + 36*f**3 + 0*f**2 - 14*f**3 + 0*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*39168\nAnswer: -86169.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 6. Let n be m(-6). Suppose 9*u = 14*u + 5. Sort n, u, 5, 1.\nAnswer: u, n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -502e + d?\nAnswer: -5021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 868*a*y**3 - 2520*y**3 wrt a?\nAnswer: 868*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(24\/6) + -1 + -2. Suppose -3*b + 19 - o = 0. Suppose -b*k + 520 = 7*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:52 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125462 (base 8) to base 16.\nAnswer: -ab32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.939595 to 3 decimal places.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/30*(-36)\/(-15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/71 at least as big as -0.02186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 241*s - 126*s + 545*s + 23*s to p*s + b and give p.\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 6*g**2 + 7*g - 3. Does 7 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 + 265. Let p = -56 + j. Calculate the remainder when p is divided by 47.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 33*y**5\/5 - 20*y**3\/3 + 33. What is the third derivative of p(m) wrt m?\nAnswer: 792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/76 and -7\/22.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5690 = 2*v - 8480, 2*u - 35434 = -5*v. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8259 - 0.1741. What is the third biggest value in -3, -2\/3, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, t: 3, i: 5, q: 2, w: 3}. Give prob of sequence ttwt.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024646 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: Let v be ((-48)\/30*4)\/(4\/(-10)). Does 23 divide (370\/(-8))\/(v\/(-128))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n + 1 - 1. Let j(s) = 2*s - 79 - 82 + 161. Determine y(j(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 294 = -2*f + 1189, 1823 = 4*f - 5*s. Suppose 4*b = 472 - f. Suppose -5*g - 31 = -j, 5 = b*g - 10*g. Put j, -3, -1, 0.3 in descending order.\nAnswer: j, 0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -15*j**2. Let g(a) be the first derivative of a**3 + 52. Give n(g(m)).\nAnswer: -135*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -8, 1465 in descending order.\nAnswer: 1465, 34, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w + 3. Let r be ((-4)\/4)\/(w*1). Let j = -104 - -729\/7. Which is the closest to r? (a) j (b) -3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 3*k**6\/40 + k**5\/12 - 31*k**3\/6 - 290*k**2. What is the derivative of a(x) wrt x?\nAnswer: 27*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.201 + -3.301. Put q, -2\/11, -2, 0, 3 in ascending order.\nAnswer: -2, -2\/11, q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01039 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07787321 to four decimal places.\nAnswer: -0.0779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4991 is divided by 1246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1918 - 1918 + 41*n**3.\nAnswer: 41*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 8:05 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1220310?\nAnswer: -1220311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -18085 at most -18136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 5249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.000085 - -32. What is p rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*o = -197*o - 2*i - 10, 2*o - 6*o = -2*i - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + z**3 - 3*z**3)*(-1 + z + 1) + 7*z**4 + 3 - 3 + 3*z**4 - 7*z**4 + 0*z**4.\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0 + 0 - 1 + 2*t. Let r(u) = -2*u + 2. Let l(z) = 21*z + 97. Let m be l(-4). Suppose 8*n + m = 29. What is n*r(o) + 3*x(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 6*t - 9114. Is 10\/(-15)*(-5 + t)\/4 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32586, -31521, -30456, -29391, -28326?\nAnswer: -27261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -5, -3 in descending order.\nAnswer: -3, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -321c - -8a53?\nAnswer: 5836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - y**3 - y**3 + 4*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 7*t**2 - 2*t - 8. Let w be j(-7). Suppose -w*z + z + 180 = 0. What is z rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/35*1\/(0 + -1). Let z be (14\/(-126))\/(f\/4). Factor -2\/3*g - z - 2\/9*g**2.\nAnswer: -2*(g + 1)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 181378.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**5 - 33*u**4 + 36*u**3.\nAnswer: 3*u**3*(u - 4)*(2*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**3 - h**2 + 6*h. Let m be c(-1). Solve -m = -i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3133311668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2682.907614948 - 0.017464948. Let z = f - 2683. Let v = 0.11 + z. What is v rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 - 254*r - 1679. Calculate w(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 46, -5, 1925, 18 in ascending order.\nAnswer: -5, -2, 3, 18, 46, 1925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-15) - (-1947606)\/(-1395). Let u = -54 - k. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(13) - (sqrt(13) - sqrt(104)\/sqrt(8)))**2 + sqrt(13))*-2*-1*2)*5 + -3.\nAnswer: 20*sqrt(13) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 50 (b) 2\/53 (c) -2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25251411.\nAnswer: 3, 8417137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 3339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1212 + 2092. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3))\/((-2)\/(-24)). Suppose -2*v = 2*p - 6*v - 30, -a*v - 37 = -3*p. Let s = p - 5. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/8 and 6424\/1620 + -5 - (-20)\/25.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1198*w + 31. Suppose -r = 5*z + 8, 2*r - 4*r = 4*z + 4. Is x(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/18 + 2577\/(-540) and -91\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 20*c**2 + c + 1. Let j be m(-1). Solve -5*d + j = q, q - 3*d + 0*d = -12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4 - 130015*d**3 - 17462235*d**2 - 34534445*d - 17202220 = 0.\nAnswer: -25868, -133, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*a**3 - 521*a**3 - 69*a**3 - 117*a**3 - 62*a**3.\nAnswer: -1043*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbhhhdbhhk. Give prob of sequence hdb.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 84?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-75) + (-8)\/300*5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6308*b**3 - b**2 - 2*b + 192?\nAnswer: -37848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-28)*-4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, g: 11, e: 7}. What is prob of picking 1 g and 2 e?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1506 + 44?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:03 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**4\/12 - 5*o**3\/6 + 2*o**2 - 32*o. Factor b(j).\nAnswer: (j - 4)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 18351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241872 and 4848?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*j - 2 + 35*j + 38*j + 121*j - 4 as z*j + c and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 478 divide 14357208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16*y + 6. Let s be n(-4). Let a = s + 74. Is a smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 45, 75, 95, 99, 81, 35, -45, -165?\n\"Answer: -a**3 + a**2 + 34*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.75 + 26. Let f = g + -0.25. Let z = -17.8 + f. Round z to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 4.5. Let q = -106\/3 + 35. What is the second smallest value in p, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*q, -4*m = -19*q + 14*q + 12. Suppose -300 = -m*h - 5*w - 81, 0 = -h - 3*w + 109. Calculate the highest common factor of h and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621276\/8 + (2\/(-7))\/(32\/56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4084859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66537069 is divided by 7754?\nAnswer: 7749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*h - 14, 0 = -4*q + 6*q - 2*h. Let z(k) = 6*k**2 - k + 0 - q*k + 1 - k**3. Let r be z(2). Calculate the greatest common factor of r and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by (139\/(-1))\/((-30)\/15) + 9\/6?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-2)\/(-18)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*k + 21, 5*n - 17 - 9 = -4*k. Let r be 87\/6 + 9\/n. Let f(c) = 11*c**2 + 7*c**2 - r*c**2. Let h(d) = d**2. Calculate f(h(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(15\/54)*142\/4. Let z = 170 - w. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106202645 (base 7) to base 5.\nAnswer: 3131132242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129551 and 213227.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) 3 (c) -0.29 (d) -0.03 (e) 9 (f) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 111885*p - 725. Let m(b) = 9324*b - 58. Determine -2*g(l) + 25*m(l).\nAnswer: 9330*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 120?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99036 and 2142?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -3*n + 43*p - 119, -5*n + 50 + 1 = -2*p for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2\/5, 1\/4, -0.00824 in increasing order.\nAnswer: -3, -2\/5, -0.00824, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32577647?\nAnswer: 19, 181, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-10 - (-33 + 18)) + -10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times 0.257726\nAnswer: 0.02061808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 0*l + l + 5 - 3*l**2 + 4*l**2 - 3. List the prime factors of h(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1*(-528)\/(-2) + (-4 - 4) and ((-20)\/15)\/(10\/12 + -1).\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*p - 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7984, -17001, -26018?\n\"Answer: -9017*g + 1033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 2*v**2 + 583*v + 2363. Give m(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-15)\/(-6))*2. What is the second derivative of -10 + 10 - t*j**2 - 4*j wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 26. Let q be w(17). Suppose 0 = 5*f - 33 + q. Solve f*a + v - 15 = -4*v, 4*v = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5 = -8. Let o be ((-642)\/2*t\/9)\/(-1). Let m = o + -52. Calculate the remainder when m is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 152, 354, 638, 1004?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -276*t**5 - 169*t**5 - 151 + 51*t**5 - 106*t**5 - 696 + t**2 wrt t?\nAnswer: -30000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-7 + (-3 - -6). Which is the closest to 0.1? (a) -0.08 (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22678, 20930, 16184, 6940, -8302, -31042, -62780, -105016?\n\"Answer: -250*s**3 + s**2 - s + 22928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5034 = 9*d - 3*d. Is 4\/(4\/d)*-1*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-6) + -6 - (-30)\/2. Suppose y*m - 12 = 10*m. Suppose -f + m - 2 = 0. Solve -3*s + 4 - 11 = f*g, 5*g = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72365869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-2) - 1)*(-5)\/(-110). Put 0.058, 1, s in descending order.\nAnswer: 1, 0.058, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8*g - 10*g = -43, -3*f + 5*g = 40. Let z be 10\/f + (104\/12 - 3). Suppose z*j - 3 = 27. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 1. Let d be r(4). Suppose 108 + 2 = -5*x. Find the common denominator of 133\/18 and (d\/(-2))\/(2\/x).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c - 45. Give i(22).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13583 - 13583.3. Which is the fourth smallest value? (a) 2\/423 (b) 1\/2 (c) g (d) 1\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 7*q**2 - q. Let j be n(-7). Suppose 4*c + 30 = -3*u, -2*u - 1 = -3*c + 2. Let w = -2 - u. Solve w*l - j = 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 1014*k**4 - k**3 - 444*k - 503*k**4 - 512*k**4 as m + d*k**4 + h*k**2 + a*k**3 + y*k and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**2 + 19994 - 19992 + 36*c**2.\nAnswer: 49*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 512 + -512.3. What is the third smallest value in -9, b, -4.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9477, -0.1, 5 in descending order.\nAnswer: 9477, 5, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 464.74388793 and 594.\nAnswer: 1058.74388793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11469 > 11477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -i, -3*r + 25*i = 29*i - 8702. Calculate the lowest common multiple of r and 582.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4))\/(((n*n\/(n\/(n*n**(3\/7))*n*n)*n)\/n)\/n*n))\/(n\/(n**(-2)*n)*n*n**(-5))*(n**2*n**(-3\/7)*n)**(-2\/13) assuming n is positive.\nAnswer: n**(-166\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 12*a**4 + 9*a**3 - 87*a**2 + 201. Suppose 4*v - 27 = v. Let g(w) = 3*w**4 + 2*w**3 - 22*w**2 + 50. Let l(f) = v*g(f) - 2*n(f). Factor l(x).\nAnswer: 3*(x - 2)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/359 - -7509\/16873. Let b = 477\/94 + r. Calculate the common denominator of (4161\/76)\/(5*(-3)\/(-2)) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 2*h - 41 + 128 - 26.\nAnswer: 2*h + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -9. Suppose -f + 4 = -y. What is the highest common factor of f and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4807.309 - 4813. Round i to 1 dp.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 108 + 4*f**2 - 118\/15*f - 2\/45*f**3. Factor p(j).\nAnswer: -2*(j - 59)*(j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 8*s. Let w be c(-7). Let x = w + 44. Solve -3*b - x = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 50 = -3*u + 2*t, 4*t = u + 14. Calculate the common denominator of -22\/3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n + 4. Let d be 4 + -2*(-1)\/(-2). Let o be q(d). Does 2 divide o\/(-3) + 80\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5015555681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*s + 27056 = 0, 0 = 11*n - 10*n + 3*s - 6764. What are the prime factors of n?\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 52*o - 126*o**2 - 168 + 139*o**2 - 4*o**3 + 192*o - 85*o**2 = 0.\nAnswer: -21, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 7*f**2 - 1. Let h be 0 + -1 - (0 - 5). Suppose a + 2*t + 0 = 9, -5*a = -h*t - 17. Calculate the remainder when m(a) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 30*k = 36 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35533140, 71066274, 106599404, 142132530, 177665652?\n\"Answer: -2*z**2 + 35533140*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g*h**2 + 10*g*h - 1074830*g + 359*h**2 + 26*h - 2 wrt h?\nAnswer: 4*g*h + 10*g + 718*h + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.9 + 13. Let m = h + 51.4. Round m to zero decimal places.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -454619.00076 - -454634. Let s = -15 + a. What is s rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2\/4 - 13673437*v\/4 - 10255080 = 0.\nAnswer: -3, 13673440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**5\/4 - 15*s**4\/4 + 45*s**3\/2 - 135*s**2\/2 - 32*s. What is z in q(z) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:02 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/529150 and -123\/1750.\nAnswer: 18520250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 411362688 divided by -1056.\nAnswer: -389548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 27 = 72. Let u = r + -18. Let a(w) = -87*w**3 - w**2 + w - 4. Is a(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -507*v**4 - 50*v**5 + 1756*v**4 + 52*v**5 + (v + 2 - 2)*(2*v - 2*v + 4*v**4).\nAnswer: 6*v**5 + 1249*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:51 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/7)*l*l)\/(l*l\/(l*l*l*l**6)*l*l)*l**(-2\/7)\/l*l\/(l*((l*l*(l**(2\/3)\/l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s + 30. Let n be q(-11). Let j = n - -7. Find the third derivative of 3*x**2 + 0*x**2 - 35*x**j + 21*x**4 wrt x.\nAnswer: -336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1495*t = -1482*t - 347880. Calculate the highest common divisor of t and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/222360 and -19\/741200?\nAnswer: 2223600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -89, -144, -219, -320, -453, -624, -839?\nAnswer: -1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.01 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/4080725 and -53\/275.\nAnswer: 4080725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 859, -4, -7, 1 in decreasing order.\nAnswer: 859, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273497775.\nAnswer: 3, 5, 3646637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*q - 363*q + 194*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8.72 * 0.237\nAnswer: 2.06664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34862952 divided by -8715738.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -13 (c) -4.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 804389 times -4?\nAnswer: -3217556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2)\/1*-2. Let d = 8.99 + -9. Let r = d + 0.31. Is l less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1317486.6 months?\nAnswer: 1097.9055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 12*l**2 - 21*l + 94. What are the prime factors of h(16)?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -905, -834, -763, -692, -621?\n\"Answer: 71*k - 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16326 + 261129\/16. Let r = 20 + -8. Calculate the common denominator of 31\/r*3\/(-4) and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = 3. Let u be 2\/(n\/(12\/8)). What are the prime factors of -2*(2 - u) + 28?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 17*v**4\/6 - 8*v - 8. Let h(p) be the first derivative of a(p). List the prime factors of h(-1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(1\/(-1)))\/((-3)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 37*z + 350 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 9*a - 10. Let n be v(-9). Suppose -5*b + n = -94. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*z = 50. Solve 2*g - 4*g = z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let t(v) = 2*v**2 - 8*v. Let z(l) = t(l) + 8*x(l). Let g(i) = -505091*i**2 - i - 2*i + 3*i + 505109*i**2. Determine g(z(s)).\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2 + -2 + 4 - 10). What is the nearest to 0.2 in 4, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmxx when four letters picked without replacement from mxmxxxmmxmmmxx.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 253 = -0*x - 2*l, -5*x = -l - 249. Calculate the smallest common multiple of 14 and x.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016266549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3407 rounded to the nearest ten?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgeghgvsshssgsgggv. Give prob of sequence vhvh.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 290183045 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -73*d + 5. Let l(q) = -2*q. Determine l(y(k)).\nAnswer: 146*k - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3705461037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + (35 - 4))\/(4\/21). What is the greatest common factor of i and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -24 - -8) + -4 + (-85 - 1) + 0.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 416*k**2 + 2*k - 3 + 0 - 419*k**2. What is j(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -332*a**3 - 11*a*p**2 - 12390*p**2 wrt a?\nAnswer: -996*a**2 - 11*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 2*l**2 - 2*l - 1. Let s be r(3). Let u be (9 - (-90)\/(-9))\/((-2)\/278). Let m = u + -136. Solve s*i - 20 = 5*f - 3*i, m*f = -i - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2717948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26471634 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x + 1. Suppose -3 = -4*u - 7. Let s be i(u). Suppose -b + 3*b = s. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*s - 156*s + 310*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30\/109 + -56969\/654. Let n = 87 + k. Let z = -4.7 + 5. Which is the closest to 1\/2? (a) 0.5 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -369, -517, -667, -819, -973, -1129?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 1 - 8)*1. Let z be (6\/d)\/(1\/(-120)). Suppose 0 = 6*k - 4*k - z. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/9*1*-351 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 + -88. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 491690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -452\/3 + 895\/6. Let a = -0.1 + -0.1. Let d = a - 2.8. What is the smallest value in k, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 3 (c) -193.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 6. Let p(v) = -1. Let y(q) = 5 + 4 - 4. Let x(k) = -6*p(k) - y(k). Give h(b) + 6*x(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*i**2 + 142 + 647*i**2 - 146.\nAnswer: 59*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 75371 - 75371 + 2*u. Let q(g) be the third derivative of -2*g**5\/15 + 2*g**2. Determine q(w(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3553 - 3466 - 334 + 522 - 1043)*(3*a + 3*a - 4*a).\nAnswer: -15748*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4468, -17882, -40222, -71476, -111632, -160678, -218602?\nAnswer: -285392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4608 divided by -288?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4032)*-6)\/(sqrt(28)\/(-2*sqrt(7)) + 5*sqrt(64)).\nAnswer: 48*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**2 - 8 + 4*w**2 + 0 as g*w**2 + v*w + r and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + -0.21. Let a be (-2760)\/(-72) + ((-4)\/(-6) - 0). Let d = a - 37. What is the second biggest value in -2\/9, d, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**4 - 1947*s**3 - 4*s**2 - 3*s - 3.\nAnswer: -24*s - 11682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/7)\/o)\/o**1)**(-6\/17)\/((o**(1\/2)*o**(-4))\/(((o\/(o**(-3)\/o))\/o*o)\/o**(-4))) assuming o is positive.\nAnswer: o**(3083\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v = 25. Let p be -15 + 16 - (12 - 7). Sort p, 2, v.\nAnswer: p, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 300ee + -1a?\nAnswer: 300d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**2 - 4 + 6 + 4*j**5 - 5*j + j**3 + 3*j**2 wrt j.\nAnswer: 80*j**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 8 + 9*q**2 - 14*q - 1\/3*q**3. Let x be u(17). Solve 4 = -0*y - 2*y - 2*f, -x*y - 6 = 4*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36*95\/((-11115)\/(-104))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186003*y**3\/5 + 1009197*y**2 - 646176*y\/5 + 20736\/5 = 0. What is y?\nAnswer: 16\/249, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 11*p**6\/360 - p**5\/120 + p**4\/24 - p**3\/3 + 4*p. Let m(f) be the second derivative of w(f). List the prime factors of m(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/297*27\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 415583*y**3 + 7*y**2 - 8840264*y + 1 wrt y.\nAnswer: 2493498*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = l + 2*s, l - 5*s = 19 + 5. Which is the nearest to -0.2? (a) -8 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5918*z**3 + 33*z**2 + 3394720 wrt z?\nAnswer: 17754*z**2 + 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - v**4 + 0*v**4 + (-2756*v + 348*v**2 + 2756*v)*(-3*v**2 + 2*v**2 + 0*v**2) - 2*v**4 + 5*v**3 - 5*v**3 + (3 - 5 + 1)*(-1 + 2*v**4 + 1).\nAnswer: -350*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15287 smaller than -2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m - 2 = 5*q, q - 3*m = 11. Let t be (4 - (-50)\/(-12))*q*-66. Let t*u - 2*u - 3*u**2 - 17 + 2 - 2*u**2 = 0. Calculate u.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 15*r - 356. Let o = -85 + r. Suppose -v - o*k = -144, 139 + 177 = 2*v + k. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -24. Let q = 35 + r. What is the smallest value in q, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 7*y**2 - 8*y + 5. Suppose -h - 2*h = -24. Let n be x(h). Put n, -3, 3 in ascending order.\nAnswer: -3, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -523890 or -523880?\nAnswer: -523890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281203 is divided by 92013?\nAnswer: 5164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-528)\/(-18))\/(-22))\/(4\/6). Which is the nearest to -13? (a) -1\/2 (b) 1\/3 (c) 5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 766016567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22554, -41095, -59648, -78219, -96814, -115439?\nAnswer: -134100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:08 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grurrggu. Give prob of sequence rg.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 9, b: 5, n: 3}. Give prob of sequence ynny.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/12 + 1\/4. Let l(j) = j**2 + 11*j + 1. Let a be l(-11). Suppose 3*y = -4*n + 17, -y - y = -4*n + 2. Solve -y*f + w = a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8353950 and 4245450?\nAnswer: 258972450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065038539 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 172, 3 in ascending order.\nAnswer: 3, 6, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 - 388\/(-485)) + 51.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/29056433 and -25\/407?\nAnswer: 319620763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 127, 76, -2906?\nAnswer: -2906","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68.96 - -73.96. Which is the third smallest value? (a) h (b) 12\/17 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*a + w + 27, 5*a - 6 = -3*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5050189?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 3888.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 5, 2\/3, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**4 - 25*y**2 + 25*y**2)*(-3*y + 8*y + 7*y) + 5*y**5 - 2*y**5 + 3*y**5.\nAnswer: 66*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (116\/754 - (1188\/39)\/3) - 24.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-189)*12*((-22)\/(-4))\/11.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.111612?\nAnswer: -0.0446448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77989?\nAnswer: 167, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 656 or 660?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3591\/4*h**2 + 21627\/8*h**3 + 15 - 3\/2*h.\nAnswer: 3*(9*h - 2)**2*(89*h + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 at most as big as -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (281 - 37 + 43)*(-1 - 3*w**2 + 1) to q*w**2 + v + b*w and give q.\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 11) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*v + 12 = -135*v + 275*v + 9*t, -5*t + 12 = 2*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a - 4. Suppose 0 = -3*g - 5 + 2. Let b be (-2)\/g + 1*-2. Solve r = -b*r - a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1. Let j(s) = -2*s + 2. What is i(a) - j(a)?\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 = -1. Let r = 6 + i. What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 92141 - -112?\nAnswer: 92253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/8, -0.4, -0.5, -2\/3.\nAnswer: -2\/3, -0.5, -0.4, -1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12479 + 23452. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -372439, -372432, -372425, -372418?\n\"Answer: 7*o - 372446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16067103 (base 8) to base 11\nAnswer: 20a65aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 3*h**2 + 2*h + 3. Suppose -4*i - 6 = 14, 3*i + 21 = -3*n. Let r be y(n). Suppose 92 = r*b + b. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**2))**(-2\/55)*t*t*(t**7*t)\/t*t*t*t**4*(t\/(t\/(t**(1\/4)*t))*(t*t\/(t\/(t**(-4\/3)*t)))\/t)**(-20) assuming t is positive.\nAnswer: t**(-568\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -132.99724. Round w to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 422 - -194. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3955923 divided by 9.\nAnswer: -439547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 1. Let q(m) = m**3 + 2*m**2 - 2*m + 2. Calculate -2*c(i) - q(i).\nAnswer: -i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) -309 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 140. Suppose -4*x - 2*x + 354 = 0. Let w = x - 47. What is the greatest common factor of u and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83\/2 + -41. Find f such that -l - 1\/2*f**4 - 2*f - 3*f**2 - 2*f**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 1. Let h(d) = 2*d + 1. Let w(g) = h(g) - 3*k(g). What is the units digit of w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 46 = -5*l - 6, 5*l = 6*u + 44 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by -114?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:54 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-2))\/(-1) - 477. Let f = v + 936. Let y = f - 228. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 16. Let r be k(13). Suppose 4*g - 5 - r = 0. Suppose 5*b = -4*l - 10 + 41, 4 = l. What is the remainder when b is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 24, -7521 + 53657 = 4*z - 4*r. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -542 - -540.195. Let n = -0.055 + a. Round n to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/165)\/((-1)\/20)*(-9)\/(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 9:06 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33790*h**4 - 28*h**3 - 32491609*h wrt h?\nAnswer: -405480*h**2 - 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/1 - (9 - 12). Find the first derivative of 3 + r + 0 + 1 - 10*t**2 wrt t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -401, -611, -821, -1031?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -4\/5 (c) -384367\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s**(-3\/2)\/s))\/s))\/(s*s*s\/s**(-3)*s*s))**(-1)\/(s**(-1)\/s*s**(-2\/5)*s*s**(1\/16)) assuming s is positive.\nAnswer: s**(867\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h**(1\/7))**(2\/59)\/(((h\/h**6)\/h*h*((h\/(h*h**(-1\/8)*h))\/h)\/h*h*h*h*h*h)\/(h\/h**0)**(3\/17)) assuming h is positive.\nAnswer: h**(169763\/56168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 624 - 647. What is the closest to -2 in -0.4, i, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/69928510 and -119\/460.\nAnswer: 139857020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -1.670737, 0.2, -3\/5 in descending order.\nAnswer: 0.2, -2\/17, -3\/5, -1.670737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c - 4. Let z(g) = -2*g**3 + g**2 - 18*g + 3. Let w(u) = -2*q(u) + z(u). Give w(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1822037, -1822013, -1821973, -1821917?\n\"Answer: 8*b**2 - 1822045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 4*p, v - 4*p + 8 = 2*v. Suppose -x + v*r = r - 28, r = x - 36. Is 32 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1601461 + 2?\nAnswer: -1601456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18964, 18925, 18884, 18841, 18796, 18749?\n\"Answer: -h**2 - 36*h + 19001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -146*j + 5806. Let w be o(20). Calculate the highest common factor of 148 and w.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 - 13*q**2 + 77*q - 112. Determine a(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*((-6)\/2 - (-39)\/12). Let c(d) be the third derivative of -5*d**w - 1\/24*d**4 + 5\/6*d**3 + 0 + 0*d. What is the derivative of c(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 - 3*n**3 - 681*n**2 - 2781*n + 8262.\nAnswer: 3*(n - 17)*(n - 2)*(n + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c - 92*c**2 + 24 + 29 - 12*c + 0*c + 3*c wrt c?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zono when four letters picked without replacement from zzzzzzozznzzzzozo?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 2, -12, 1, -2 in decreasing order.\nAnswer: 41, 2, 1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4949790 divided by -139\nAnswer: -35610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*b + 20 = 0, u - 4*u + 16 = -2*b. Let c(t) = -1. Let m(q) = -3*q**2 - 6. What is u*c(i) - m(i)?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 39 + 9. What is the first derivative of -4 + g*p - 3*p - 2*p + 8*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13611, -27202, -40769, -54300, -67783?\nAnswer: -81206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8*2*(-20 - -11). Calculate the highest common factor of 324 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 397 + 132 + 386.\nAnswer: 2*f + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 3*i. Let n(t) be the third derivative of t**5\/60 - t**4\/12 + 2*t**2. Suppose -8*b - 9 = -5*b. Determine b*f(s) + 4*n(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 14) + 2 + -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 776 = -0*j - 4*j, -83 = -2*s - j. Suppose -2965 = -5*x + b, -7*b = -4*b + 15. What is the highest common factor of s and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*k = 13810, 0*f + 8284 = 3*f - 2*k. Suppose -2*q = -6*q + 8, 4*a - 5*q = f. What are the prime factors of a?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 46*v + 140. What is b(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*i**5 + 3595*i**4 - 12665*i**3 + 5005*i**2 + 12430*i - 8600 = 0.\nAnswer: -860\/47, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2288 and 102256?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -83609191 smaller than -83609191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.438 - 8353.9?\nAnswer: -8352.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001772818 to seven dps.\nAnswer: -0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 14*n + 1041. Let l(m) = 3*m - 2. Let c(p) = -2*l(p) + r(p). What is the thousands digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 15 = 13*v. Suppose 0 = -3*c - n + 15, -2*n - 2*n = v*c - 18. What is the least common multiple of 35 and (-3*c\/9)\/(10\/(-20))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4031484.583 rounded to the nearest one thousand?\nAnswer: -4031000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6397778*z**5 + 2*z**3 - 204*z**2 + z + 905?\nAnswer: 383866680*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 3*j**2 + 19*j - 1. Let v be h(-7). What is the greatest common factor of 31 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15 = l. Is l*((-27774)\/15)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(304))**2 - (3 + sqrt(931))**2.\nAnswer: -42*sqrt(19) + 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 7*k + 1. Let d = 58 - 62. Let t be o(d). Let g = 136 - t. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgkm when four letters picked without replacement from kammkggkkm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - ((75 - 86) + -1 + 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/31, -11, -2, 38?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1230, 3151, 5072, 6993?\n\"Answer: 1921*l - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170 - 149. Let f(p) = 8*p + 70. What is the hundreds digit of f(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-1)\/(-1 + -3 + 5). Solve -2*j = n*j + 3*m - 18, -5*j - 4*m = -19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70548?\nAnswer: 2, 3, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + -0.7. Let l = -12.3 - -13.68. Let n = d + l. What is n rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 24 = a. Let j be 4\/6*3381\/(-46). Let p be 14\/(7\/(j\/14)). Which is greater: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -228 and 31396979.\nAnswer: 31396751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**(-10))*b**(-18) assuming b is positive.\nAnswer: b**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 59 + 47, -4 = -5*w + m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/108 and 71\/60453.\nAnswer: 241812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 500167 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 450*p**2 + 17097*p - 114 = 0.\nAnswer: -38, 1\/150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 3*j - 5*j)*(-13*j**3 + 7*j**3 - 17*j**3).\nAnswer: 23*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 3*c**2 + 3*c - 4. Let d be u(2). Let m(z) = -z**2 + 34*z - 117. Let r be m(30). Put -4, 2, r, d in ascending order.\nAnswer: -4, d, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2222102002012 (base 3) in base 2?\nAnswer: -110000010011001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15425 (base 7) in base 9?\nAnswer: 5842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*l = 0, -5*z - l = -2*z + 5. Calculate the common denominator of -47\/9 and 20*4\/48 + z\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -h + 15, h = -5*b - 14 - 11. Suppose h = 2*c - c + o - 20, -3*c + 36 = -3*o. What is the common denominator of 2\/(-4) + 364\/c and -47\/58?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + h - 3*h)*(1 - 3*h + 0*h + 2*h) in the form t + u*h**2 + z*h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1670*t**3 - 7*t - 3 + 5 - 3208*t**3 + 1603*t**3 to p*t**2 + f*t + q*t**3 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2141 + 21120?\nAnswer: 14535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/184? (a) 77 (b) -5 (c) 3 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 8. Suppose -14*d - 130 = -4*d. Calculate the least common multiple of 27 and l(d).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 5*599\/(-1). Is 6\/21 - a\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177?\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 669 - 134. List the prime factors of d.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24694, -49208, -73722, -98236?\n\"Answer: -24514*h - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 2032*b + 969964. Determine y(-399).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(0 + sqrt(19)).\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (5 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -247, -237, -221, -199, -171, -137?\n\"Answer: 3*c**2 + c - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -32, -47, -60, -71, -80?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 + 341*k + 17*k**2 - 203*k - 10*k**2.\nAnswer: -k**2 + 138*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2*i**3\/9 - 5*i**2\/3 - 144. Factor y(s).\nAnswer: -2*s*(s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2697662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j**(-2\/11)*j))\/j**(3\/2))\/((j\/(j\/j**(1\/7)))\/(j**2*j)))\/(j**(-6)*j*j\/j**5)**(2\/9) assuming j is positive.\nAnswer: j**(699\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35967 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(1152)*3))**2.\nAnswer: 11\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/468 and 1\/9.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*p = 0, 2*y + 22 = 2*p + 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/21 (b) 0.05 (c) -5 (d) 34475\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -30818?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 295*c - 275*c + 31 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15319 is divided by 3826.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -417, -5, 0.\nAnswer: -417, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*u + t, 2*u - 2*t = -3*u + 18. Solve -2*l = 4, -4 = u*x + l + l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/30 + 7*o**4\/6 + 136*o**2. Factor f(c).\nAnswer: 2*c*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2888494.\nAnswer: 2, 7, 19, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 15, g: 4}. Give prob of picking 3 f.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 + 3*o - 4. Let s = -9 + 5. Let w be h(s). Suppose -4*u + 49 + 47 = w. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**7\/2520 + v**6\/240 + v**5\/20 + v**4\/3 + 13*v**3\/6 - v - 25. Let b(n) be the third derivative of l(n). Determine b(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1265164 (base 7) to base 11.\nAnswer: 104914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 = 423*p - 412*p. Calculate the remainder when 1275 is divided by p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11257, -22517, -33783, -45055, -56333?\n\"Answer: -3*i**2 - 11251*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19432 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 6*a + 3. Let v be n(-3). Let z be 568\/48 + 2\/v. Solve 5*w + 2 - z = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 496*i\/7 + 5160\/7.\nAnswer: -2*(i - 10)*(i + 258)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4318 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w + 1. Let t(z) = 13*z + 1. Let q(x) = 53*x + 3. Let f(o) = -2*q(o) + 9*t(o). Let k(m) = -4*f(m) + 7*v(m). Is k(-11) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482942938?\nAnswer: 2, 241471469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 19*w = 22*w - 17835, -3*w = 3. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1640, 1897, 2298, 2843, 3532?\nAnswer: 4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4342.\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1054.\nAnswer: 4216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26381, -52950, -79893, -107396, -135645?\n\"Answer: -31*h**3 - h**2 - 26349*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 17*w**2. Let p(q) = 157*q**2. What is p(v(i))?\nAnswer: 45373*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34670 is divided by 33015.\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:04 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -303 (c) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/(1 + 0).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 24. Let o be w(-10). Solve 0 = k + 8 - o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(3584\/350)*360\/450\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 61 = 3*x + x, 5*g = -3*x - 62. Which is the nearest to -0.2? (a) -3 (b) g (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10122221010011 (base 3) to base 9\nAnswer: -3587104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 38*i**3 - 5*i**2 - 28*i + 181. List the prime factors of a(5).\nAnswer: 2, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 133, 267, 401?\n\"Answer: 134*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from bjbgjgbbb.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5908 is divided by 285?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/120 - 7*v**5\/60 - v**4\/8 - v**3\/2 - v**2. Suppose q + 2*q + 21 = 0. What are the prime factors of a(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2141, 6114, 11903, 19508?\nAnswer: 28929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/((-51)\/306). Suppose 3*j = 6*j - 2*l - 9, -j + 2*l + k = 0. Put j, 4, -5 in ascending order.\nAnswer: -5, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-671)\/183)\/(319\/4089).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4090*s - 101011 - 74859 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 21992372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2 + 7*c**2 + 2 + 0 + 2*c**3 - c. Let j be g(-2). Is 5\/((-10)\/j) - -81 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 83 + 5*z + z - 82 - 152*z**2 + 2*z**3 + 23*z**2 in the form p + n*z**3 + w*z**2 + k*z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1130618 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 6. Suppose 2*k + 12 = 4*k. Let o be i(k). Suppose -2*p - 4*f - f + 100 = o, -5*f - 35 = -p. Calculate the remainder when p is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngggupbg. What is prob of sequence gbg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30429)\/(-7245))\/(6\/(-5))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqoqoooooqooooqooqo. What is prob of sequence oqq?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2.84. Let j = p + -0.27. Let a = j - 4.89. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42743.617901 - -42744. Let x = f + -0.382. Round x to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/4 and 107\/176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 539 = 2*o, 0 = 2*o - 3*g - 573 + 14. Suppose -5*m = -4*h - 40, m + 5*h = -0*h - 21. Suppose -4*k = 4*d - o, d + k - 64 = -m*k. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1158880*g**4*s**2 - 15452*g + 16*s**2 + 5*s wrt g?\nAnswer: 13906560*g**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u - 70. Find the common denominator of 2 + (-2)\/(40\/278) and (-7)\/2*(-50)\/u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 613.4?\nAnswer: 1840.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i - 1016 = 179*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51832296 or 51832285?\nAnswer: 51832296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5192 - 3254. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -756?\nAnswer: -2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6487 + 6486.6. Which is the third biggest value? (a) w (b) 0.075 (c) -3 (d) 2\/13 (e) 2\/61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 + -111. Suppose 2*r + 9904 = -2*m, 0 = 5*m - r - d*r + 24748. Let s be (m\/7)\/1*42. Round s to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l**2\/2 + 1139*l\/3 + 40\/3 = 0 for l.\nAnswer: -2\/57, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161046 and 4140.\nAnswer: 1610460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1253734 + 1809607. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 15. What is the third biggest value in -1\/10, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 33. Which is the closest to -1? (a) f (b) -3\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 198.17 and -64.\nAnswer: -12682.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7467?\nAnswer: 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**5\/10 + h**3\/6 - 3*h + 3. Let q(m) be the first derivative of d(m). Find the second derivative of q(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187358 by -1681.\nAnswer: 187358\/1681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3 + 57*a**2 - 840*a + 784 = 0. What is a?\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1001, -2007, -3015, -4025, -5037, -6051, -7067?\n\"Answer: -l**2 - 1003*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 8*y**2 - 8*y - 4. Let p be f(-7). Suppose -5*k + 29 = 3*u, 0 = -u - p*u - 3*k + 24. Factor 0*v**2 + 1\/5 - 2\/5*v**u - 1\/5*v**4 + 2\/5*v.\nAnswer: -(v - 1)*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 4, 0, -1, -3, -4, 700 in ascending order.\nAnswer: -4, -3, -1, 0, 4, 38, 700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 109 = -197 - 452 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 4*t - 7. Let d be s(6). Let u = d - 3. Suppose 2*r - 49 + 21 = 2*l, -u*r + 38 = 3*l. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0. Let d = r - 0.7. Let y = -0.03 - 1.97. Which is the nearest to 1\/4? (a) -5 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840011?\nAnswer: 37, 73, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 - 1130576*v**2\/5 - 47481546*v\/5 - 498546972\/5.\nAnswer: -2*(v + 21)**2*(v + 565246)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8423336?\nAnswer: 2, 23, 45779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*c - 99 - 53 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x + 0 + 0*x**2 + 0*x**3 - 1\/4*x**4. Let c(a) be the first derivative of -a**2\/2 + 92. Calculate p(c(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 6. What is the tens digit of i(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 44 = 4*p - 2*c, -36 = -3*p + 3*c. Solve 7*u = 2*u + p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27efb4 + -1?\nAnswer: 27efb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6972590*f**2 - 7449673?\nAnswer: 13945180*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 2071872.\nAnswer: 2071872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 8 (c) 1\/2 (d) -2\/13 (e) 1\/3 (f) -53\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -21*k + 3. What is r(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/260 and 101\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k + 20. Let b = 124 - 120. Calculate the remainder when 167 is divided by l(b).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -124278*w**3 + 105701?\nAnswer: -372834*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/10)\/(1 - 206\/205).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 28. Let i(p) = 6*p**3 + 3*p**2 + 6*p - 32. What is the remainder when i(3) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*f**2 + 11 - 11 - f.\nAnswer: 469*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 2*d + 87. What is the units digit of g(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*(a*a**2)\/a)**(2\/65) assuming a is positive.\nAnswer: a**(12\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5, -4\/3, 100, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 16*k - 3*y = 139, 5*y - 420 = -4*k. Calculate the remainder when 1723 is divided by k.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*a + 238 = -123*a. Solve 3*g - 3*t = 3, -6*t - 4 = -4*g - a*t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80152725 to the nearest integer?\nAnswer: 8953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*y**6 + 6*y**2 - 13*y**2 - 6*y**2 - 2*y**6 wrt y?\nAnswer: 1560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 13) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219086277*a**4 + 689*a**2 + 206*a - 101 wrt a?\nAnswer: 5258070648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 28*o**3 - 400*o**2 - 996*o + 1368 = 0.\nAnswer: -3, 1, 114\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817383566.\nAnswer: 2, 1637, 249659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:09 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n. Let h(r) = -5*r. Calculate h(g(i)).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28838 + 29106 + 8*i - 57944.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72\/1589 or 1?\nAnswer: -72\/1589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 3025.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 22*r**2 + 23*r + 64. What is the smallest common multiple of 40 and t(-23)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 7, q: 3, h: 1}. What is prob of picking 2 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71441.\nAnswer: 199, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 92*r - 2985. Calculate q(32).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92836760 and 25530109.\nAnswer: 1021204360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3458*-9\nAnswer: 31122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 5*g + 4. Let a be y(-6). Let w = -59 + 82. Suppose -a = -3*b + w. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -116*n + 30 + 62*n + 58*n - 55 - 55. Determine p(11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 5*b**2 + 3*b**2)*(-2 + 0 + 0)*(-4 + 1 + 0)*(-7 + 3 - 5).\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-33)*(-187)\/170.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2654 times 548.92\nAnswer: -1456833.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 405 + 3?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(sqrt(180) + (sqrt(180) + -1)*-6 + sqrt(180) + sqrt(180)) - (4*sqrt(180)*-2 + (sqrt(180) - (-5 + -1 + sqrt(180)))))**2.\nAnswer: -105192 + 9792*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - f - 4. Suppose -2*n - 8 = -4*n. Let z(w) = -w**2 + 59*w + 190. Calculate the least common multiple of l(n) and z(62).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -60 + 15 + 48 + 40 + 3*f. Let l be q(-13). Sort l, 2, 43.\nAnswer: 2, l, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3140 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.8 - 130.2. Let j = t + 74. Let r = -61.4 - j. What is r rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -26, -3, 0 in descending order.\nAnswer: 2, 0, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 6) to base 9.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18320\/9 + -36767\/18. Let b = -241 - -1523\/6. Find the common denominator of b and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 + -74. Let g be (w\/(-22)*(-2)\/(-4))\/1. Solve -n = -5*a + 20, -3*n = -g*n - 3*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -11. Let i be ((-10)\/n)\/((-1)\/(-9)). Is (36\/(-30))\/((-1)\/i) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4175)\/(-3) - (100\/15 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by -216.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/259? (a) -0.5 (b) 3842 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 751 + -2257\/3. Which is the fourth biggest value? (a) 0.04 (b) s (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -910, -1848, -2786, -3724?\n\"Answer: -938*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 857151108 and 18.\nAnswer: 857151108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 895244 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30342 and 0.13.\nAnswer: 30342.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6.5. Let i = 3.2 + -0.2. Sort -0.1, s, i in descending order.\nAnswer: i, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 22902?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1221981, 1221985, 1221991, 1221999, 1222009?\n\"Answer: q**2 + q + 1221979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-44) - (40 - 75104\/1848)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-3)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0*z**2 + 4\/3*z**3 + 0*z**5 + 4\/15*z**6 - 2*z + 0 - 1\/12*z**4. Find the second derivative of m(u) wrt u.\nAnswer: 96*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**8\/2240 + n**6\/480 + 5*n**3\/3 + 3. Let m(b) be the third derivative of g(b). Factor m(k).\nAnswer: -3*k**2*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x + 0*x)*(-1 + 1 - 1).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + 6*c - 2. Let j be k(5). Let m = -18 - j. What is the biggest value in -5, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*f + 140*f - 17*f + 4718 = -26*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 1 + 1 - n**2 - 2 + 2 + (0*n**2 + 0*n**2 - 2*n**2)*(3 - 2 - 2) + 0 + 0 + n**2 + 34*n**2 - 63*n**2 + 36*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 4*d**2 + 6*d**2 - 36 + 36 + 14*d**2 + (-1 + 0 - 1)*(-d**2 + 0*d**2 - d**2) - 2 + 2*d**2 + 2 + 0*d**2 + d**2 - 2*d**2.\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/6*(-33)\/22. Suppose 2*u - 2*g + g + 45089 = 0, w*u + 112700 = -2*g. Let y = u + 585999\/26. What is the common denominator of 41\/9 and y?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 384*x**2 - 6*x + 7. Let i be g(2). Let t = i - 794. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**4\/9 + 245*r**3\/18 - 50*r**2 - 8189*r. Factor u(v).\nAnswer: -(v - 60)*(4*v - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + -5. Let d be 2\/((21\/(-42))\/((-2)\/4)). Suppose 5*g - n = g - 33, 22 = -3*g - d*n. Are t and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9116842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2063\/12 + 172. Let h(y) be the third derivative of -2*y**2 + 0 + 1\/30*y**5 + 0*y**3 + v*y**4 + 0*y. Find the second derivative of h(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i**3 + 53*i**2 + 10*i - 196. Give o(-2).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 41*o - 68. Does 55 divide k(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**2 - 18*b**2 + 27*b**2. Let c(n) = -5*n. Determine c(i(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**3\/2 + 13*z. Let q(j) = 4*j. What is q(w(g))?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2*u**5\/5 + 337*u**4\/4 - 7*u**3\/3 - u**2\/2 + 2264. What is the third derivative of p(g) wrt g?\nAnswer: -48*g + 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*36\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 76*w**2 + 1 + 62*w**2 - 150*w**2.\nAnswer: -164*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a millennium in decades?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (-1 + -2) - 4. Let i = p - 1. Solve 4*a + 13 = -i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5 - 4*o**5 + 4*o**5 + 33*o**3 + 80*o**2 - 3*o**5 + 25*o**4 + 77*o**3 = 0.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -11. Let z be -1*46\/12 - u. Is z <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4604906\/45, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -833*p + 910*p - 2695. What is the highest common divisor of p and 130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from rrdkrdrrkrrrdkdrrrrr.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-4)\/(x**(-7\/3)*x**(-2)) assuming x is positive.\nAnswer: x**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 3*u + 2. Let t be p(2). Let l = -344 - -347. Which is greater: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -91776451?\nAnswer: -91776456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 316115?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8 - 23 - 8*y**3 + 15 - 4*y**2. Let b(a) = -a**3 - a**2. What is 6*b(i) - o(i)?\nAnswer: 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 6. Let c = n + 16. Which is smaller: c or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:52 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 85 + -60 - (-6 + 104 + 0)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326 - -325.9. What is the nearest to h in 11, -4\/5, 10\/7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18697191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + 2 + 9 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3379\/11 + (-10)\/55 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 18 = 10*s. Solve -23*l - 5 = -s*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5832967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*t + 0*t + 21 = 0, 0 = 3*m - t - 13. Suppose -4*j = p - 18, -3*p = -2*j - p + m. Suppose 5*i - 5 = 10. Put 1, i, j in increasing order.\nAnswer: 1, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(7\/2))**(-7\/2) assuming a is positive.\nAnswer: a**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.123 + 0.546. Let g = -0.023 + h. Which is the third smallest value? (a) g (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 3*d - 4. Let v be f(-4). Solve -q - 2*q + 9 = v, 3*n + q = -3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-20)*25\/(-10). Suppose 0 = -5*b + 25, -r + 5*r + 3*b - 11 = 0. Which is greater: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 3*c + 12, 20 = -p + 5*p - 5*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -53 - -35 - (-1643)\/93\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let j(y) = -y**2 + 6*y + 10. Let l(g) = -g**2 + 7*g + 11. Let m(x) = -5*j(x) + 4*l(x). Let s be m(5). Solve d*k = k, k - s = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 135 (c) -6671 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(14)*2*-5)\/(-4*sqrt(2)*-2)*-5.\nAnswer: 45*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 14025*o**2 - 13113375*o - 4087001875.\nAnswer: -5*(o + 935)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = u + 4*u - 2*b, -u - 2*b = -9. Solve -c + 2*y - 17 = 6*y, -3*c = 2*y + u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142200 by -120.\nAnswer: -1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**3 - h**2 + 183*h - 181. What is the smallest common multiple of 3186 and p(1)?\nAnswer: 12744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 + 1.9. Let d = 2519\/4 - 630. Put d, q, -2\/13 in ascending order.\nAnswer: q, d, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47228 by -1.\nAnswer: 47228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2\/87 (c) 2\/5 (d) -8.55 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 19*k**2 - 57*k - 480. Let b be m(-10). What is the fifth smallest value in 1, 25, 2, b, -2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*z**3 - 24*z**3 + 2*z**5 + (-4*z**4 + 0*z**4 + 0*z**4)*(-9 + 9*z - 3*z - 5*z).\nAnswer: -2*z**5 + 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 916*n**2 - 5442*n - 8136.\nAnswer: -2*(n + 3)**2*(n + 452)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(440)\/(3*2*sqrt(10))*-2)**2.\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141.7 - -18.3. Let q = z + -87. Let o = q + -73.5. What is the third biggest value in 1, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 18*a**2 - 46*a - 10. Give h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106370 is divided by 4788.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25171 - 4788 + 29959 - 4*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 2520?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 48*j - 143021 = 0. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 3. Let l be p(-3). Let r(t) = t**2 - 9*t + 15. Let x be r(l). Calculate the common denominator of x\/(-9) - -458*(-2)\/120 and -45\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n. Let a = -170 + 258. Let j(h) = 85*h - a*h + 39*h. Give v(j(t)).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.6 - 5. Let j = a + -3. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**2 + 25890*c + 33514605 = 0.\nAnswer: -2589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 3*u - 3. Let z be t(-3). Let o be -1 + (z + 2 - -16). Suppose 3*w - 5*y + 0 - o = 0, 5*w - 4*y = 45. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 8:35 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -5, 4, -4, 0, 10115 in decreasing order.\nAnswer: 10115, 4, 2\/5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.17, 0.013, 0.4?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 394460 and 68142965?\nAnswer: 272571860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*g + 197. Calculate the greatest common factor of 135 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 328400 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -2*g**3\/3 - 7. Let n(r) = -22*r. Give o(n(q)).\nAnswer: -968*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28681\/10 - -2868. Which is the biggest value? (a) k (b) 0.023 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11509, -11495, -11471, -11437, -11393?\nAnswer: -11339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 10*j. Let l(y) = -7*y**3 + 2*y**2 - 1. Suppose -6 = 2*z, 3*z + 13 = -3*f + 1. Let g be l(f). Let w be h(g). Solve -3*c = c - w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 34 (c) -5\/3 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 13769985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3359.14 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 2982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*c**2 - 110*c**3 - 5\/2*c**5 - 60*c**4 + 0*c = 0. Calculate c.\nAnswer: -22, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 907275 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 10:36 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/17 + 322450*p\/17.\nAnswer: -2*p*(p - 161225)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263727.33 seconds to minutes.\nAnswer: 4395.4555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(584 - 3*f**3 - 586 + 5*f**3 - f**2 - 9*f).\nAnswer: -2*f**3 + f**2 + 9*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 58 = -40. Is (5082\/(-88))\/(s\/496) - -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 - 7?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/644 and 73\/99176.\nAnswer: 99176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -13*z + 210. Let l(h) = 5*h - 5*h + 2*h - z*h. Let t(q) = -2*q**2 - 7. Let j(x) = x**2 + 4. Let p(o) = 7*j(o) + 4*t(o). Calculate p(l(d)).\nAnswer: -121*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-14)\/(-6))*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9, 0.213, 9\/5?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5168 + 13*m**3 - 2*m**3 - 5168.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1051 (b) 2\/13 (c) -1\/6 (d) 1\/8 (e) 18 (f) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from wowqwqwqoowq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfa when three letters picked without replacement from {c: 3, a: 1, o: 3, f: 2, m: 1, b: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 12:39 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 532560, 4, -120 in increasing order.\nAnswer: -120, 4, 532560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -k - 12832, 4*k - 5*j = -315 - 50998. Is -1 - 4\/(-12)*3 - k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 7*v**2 + 2*v - 9. Let p be i(7). What is the highest common factor of 55 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8595 times -0.64\nAnswer: -1.19008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -8.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004537 to 5 decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -10, -3*y = -4*y - g + 33. What is the highest common factor of 315 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggnggngn. What is prob of picking 2 n?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*n + 60, n + 4*n - 60 = -5*h. Solve h = -4*o - q, 4*o + 24 = q + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1496*g**2 + 1 + 2*g**4 - 4*g**3 - 1541*g**2 - 1 as c*g**3 + t*g + r*g**4 + k*g**2 + i and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111356.\nAnswer: 2, 3, 30871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6821 or -88675\/13?\nAnswer: -6821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 14. Suppose -3*y + 4 + 0 = z, w*z = -3*y + 5. Suppose u = 15 - y. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 4844?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27694480691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -237044616?\nAnswer: -237044610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*p**4 + 7380*p**3 + 501591*p**2 - 336858*p + 56280 = 0. Calculate p.\nAnswer: -140, -134, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 - 154. What is the lowest common multiple of 14 and q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1017 and 452.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5462, 5454, 5432, 5396, 5346, 5282, 5204?\n\"Answer: -7*c**2 + 13*c + 5456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -5, 32\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*c**2 - 15*c**2 + 12*c**2)*(18*c - 6*c - 9*c) to the form i*c**3 + l*c**2 + z + t*c and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44 - -22?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {u: 6, b: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60.7 and 1266?\nAnswer: -76846.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1061932?\nAnswer: 1\/530966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-294)\/1715*14\/(-30). What is the closest to 1 in -0.1, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41118 and 352407.\nAnswer: 439099122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 7:35 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 464 = 70*i - 637 + 4096, 2*i = 11*b - 79 for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -14, -32, -4, 4, 5.\nAnswer: -32, -14, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 309930827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -4, -0.047, -0.1, 0.1, -0.016, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 10*d - 11*d - 2 - 10. Let v(i) = -i**2 + 9*i - 2. Let m be v(6). Calculate the remainder when 13 is divided by s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:25 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 86039 = z - 86007, 3*z + 53*h = -208 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1081.5 + -1393. Let d = r - -311. Which is the nearest to -1\/4? (a) -0.3 (b) -3\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1015\/241 or -5?\nAnswer: -1015\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Let j be (2\/3)\/((-8)\/(-36)). Suppose y - 21 = -2*p + z, -4*p = j*z - 39. What is the greatest common factor of 54 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 7. Determine f(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34214 (base 6) in base 7?\nAnswer: 20044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(14 - (2 + 0)). Let z be (s\/(-15))\/(4\/(-10)). Let a(n) = -6*n + 3*n + z*n - n. Let w(q) = -2*q**2. What is w(a(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnf when three letters picked without replacement from nfphnhhhnnp.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 10 = -4*y, 2*y - 2*a = 48 - 38 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13635*f*j**3 + 2*f - 9313*j wrt j?\nAnswer: -81810*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6\/7))**18\/(c**(1\/4)\/((c\/c**(1\/21))\/c)))**(2\/23) assuming c is positive.\nAnswer: c**(-1321\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -70398\/2393?\nAnswer: -70398\/2393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 16. Let p(l) = -32*l - 38. Let k(h) = 11*h + 13. Let r(i) = n*k(i) - 5*p(i). What is the first derivative of r(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, 2\/15, -0.3, 4, 3, 0.26?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300249 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/9, -4, 135.9, 2\/3, -2\/73, -2\/17?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (35\/(-11) - -3) + (-35)\/(-11). Let m(f) be the first derivative of 0*f**2 - 2\/3*f**u + 1 + 0*f. Let k(r) = 2*r**2. Determine k(m(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -516970*z**2 - 108338?\nAnswer: -1033940*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (1 - 1) - -10. Let u = -3 - -14. Suppose q + u = -4*x. Are x and -5 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -39. Let b(s) = s**2 - 6*s + 1. Give b(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = 0. Suppose f + 2*k - 7 = y, 0 = -5*f - k - k + 19. Let -15*m - m**2 + 27*m**3 - 2*m**2 - f - 7*m**2 + m**2 = 0. Calculate m.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199.4295 - -0.5705. Which is greater: h or -15\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x + 3554 + 753 - 995 = 0. Solve -27*v = -9*v + x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 5*m - 1. Let b be g(-4). Suppose 3*c = 2*d + 58, c = -b*c + 3*d + 78. Let p be (6\/9)\/(1\/c). Solve -6*i + 2*i = p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -8455, -30427, -73211, -143743, -248959, -395795?\nAnswer: -591187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2)\/(4 + -1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-5)*(-1)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 5 (c) 0.2 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 40. Is i smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6797*q - 6312*q - 9215 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 27 = -0*y + y, -4*f = y + 45. Let j = 42 + y. Let w be (1\/(-2))\/(1\/(-4)). Solve j*g = b, 4*b = -w*g - 12 - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4541805 is divided by 25953?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2276?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/12 - 20*q**3\/3 + 7*q**2. Let j be w(21). Let l(c) = -c - 8*c + 9*c - j*c**2. Let a(f) = 8*f**2. Calculate a(l(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1001033?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-5))\/(4 - (-57)\/(-15)). Let b be (-13 - z) + 14 + 1 + -4. Let h(f) be the third derivative of -f**4\/24 + 5*f**3\/6 + f**2. Calculate h(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7)\/k**(2\/5)*k\/k**3*k*k*k*k*k**6*k*k*k*k assuming k is positive.\nAnswer: k**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 37. What is the fourth biggest value in f, -0.5, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098 minus 2072489.586?\nAnswer: -2072489.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f + 1. Let i(w) = -9*w - 2. What is -5*g(c) - 2*i(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 92873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5342.7 minus -0.21?\nAnswer: -5342.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*q*z**4 - 72*q*z + 2*q - 16*z**2 + z - 5 wrt z.\nAnswer: -540*q*z**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 39*i. Let o(y) be the first derivative of 31*y**3 + 3507. What is o(c(t))?\nAnswer: 141453*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1298 and -142157266490.\nAnswer: -142157265192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(56)\/sqrt(7)) - sqrt(891)*6.\nAnswer: -53*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + -242563?\nAnswer: -242514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 + -203. Let d = -82 - r. Calculate the common denominator of (66\/(-8) - -7)\/(d\/(-22)) and 119\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1150 and -51\/20?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 20 = 2*y, -3*m - 3*y - 7 = 5. Let o(v) = -v**2 + v - 1. Let c(t) = 20*t**2 - 28*t + 28. Calculate m*c(g) + 84*o(g).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98416098?\nAnswer: 2, 3, 11, 497051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 30589230*j**2.\nAnswer: -2*j**2*(j - 15294615)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*y + 1 = -7, y + 4 = -4*o. Suppose -2*q = 2*r - 5*q - 17, -5*r + 2*q + 37 = o. Which is smaller: 27\/4 or r?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from zzcwxhhccbhbxch.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 4861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13609*i**3 + 13611*i**3 + 13*i**2 + 13611*i**3 - 40834*i**3.\nAnswer: -3*i**3 + 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 2*b = 42 - 2, -4*x = -4*b - 48 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4326 is divided by 1421?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*y + 112 + 56. What is the smallest common multiple of y and 759?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o = 49*o + 46*o + 3841 + 7 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2951, -3968, -4991, -6020, -7055, -8096?\n\"Answer: -3*j**2 - 1008*j - 1940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 - 9*t. Let f(n) = 4*n - 76 + 76 + n**2. Determine -3*b(o) - 7*f(o).\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -40. Let u(l) = -17*l + 11*l + l + 8*l - 18. Calculate u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11387 - 10967. What is the smallest common multiple of 28 and y?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 188898.7\nAnswer: 566696.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 32458.\nAnswer: -11\/16229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**3 + 5*j**3 - 8*j**3)*(-6*j + 2*j + 2*j + (-11 + 6 + 3)*(-4*j + 0*j + 6*j)) to the form x*j + v*j**2 + r*j**4 + n*j**3 + m and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + p - p)*(49*p + 38*p - 7*p).\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300.823*-2.\nAnswer: 601.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17 + -21 + -4 - (-6 - 0). Sort 20, -1, s in ascending order.\nAnswer: s, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -990, -2237, -3984?\nAnswer: -6231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 32. What is the third derivative of -12*j**5 - 6*j - 3*j**2 + 3*j + c*j wrt j?\nAnswer: -720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (6\/10 + (-3 - 0)). Let h be (-8)\/14*1099\/(-5338). Which is the second smallest value? (a) -2 (b) n (c) h (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*u - 254*u + 255 = -30. Suppose 295 = 3*o + 4*s, -27 = -3*o + 2*s + 244. What is the remainder when o is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40.9 and 16482778.\nAnswer: 16482818.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2772)\/12)\/33*10\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 10. Let m(r) = -3*r - 12. Let o be m(-8). Let k be n(o). Let d = k + 51. Solve 4*i = -2*b - 22, -d*i - b + 0*b = 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 66057*k - 195. Is v(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79345\/18 - 4403. Suppose 300 - 84 = 4*s. Find the common denominator of t and (-337)\/(-306) - (-12)\/s.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146687 (base 10) to base 11\nAnswer: -a0232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) 5 (b) 0.4 (c) 100 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.49261 (b) -1 (c) -0.5 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*o - 255*o + 4*z + 584 = 0, -3*o - 2*z + 346 = 0. Solve 0 = 2*l + 120 - o, 2*b + 2*l = 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -773 (base 13) to base 9\nAnswer: -1668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/40 and -57\/109256?\nAnswer: 546280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by -1 - -32 - (-13 - -10).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -a + 6, -6*c - 2 = -3*a - 2*c. Let t(p) be the first derivative of -p**2\/2 - p + 10. Let o(z) = 2 - 1 - 2*z - 4. Calculate a*o(l) + 5*t(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**(-1\/10)))\/m*m*m*m**(-4\/7)*m*(m**(-2\/3))**(1\/4)*((m\/m**(-7))\/m**(-6))**(-15) assuming m is positive.\nAnswer: m**(-21823\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4636189 millilitres?\nAnswer: 0.0004636189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-15) + 0\/(-80). Let w(t) be the second derivative of -7*t + 1\/6*t**4 + 0 + 2\/5*t**2 + c*t**3. Find r such that w(r) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 394 - 399. Let t(w) be the second derivative of w**4\/4 - w**3\/6 - w**2 + 4*w. Let u(o) = -4*o**2 + o**2 + 2*o**2. Calculate n*u(m) - t(m).\nAnswer: 2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76968373 to the power of 1\/2, to the nearest integer?\nAnswer: 8773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.3 - 8.3. What is the nearest to p in -5, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*f = 1270, 2378 = 5*t + 2*f - 762. What is t rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85143.4 - 85143. Let o(s) = 5*s + 1. Let i be o(1). What is the nearest to -4\/5 in 1\/7, l, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3000 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*n + 8 = 0, 37 = -4*u - n - 4*n. Let g be (-1)\/u + (-11)\/11. Let o be 1 - 12\/16*4. What is the third smallest value in 3, g, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8043 + -8044. Sort 0.05, i, 0, -4, 2\/5 in descending order.\nAnswer: 2\/5, 0.05, 0, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 556*t**3 + t. Let y(h) = -h**3 - h**2 - h - 1. Let q(c) = -c**3 + 11*c**2 - 11*c + 12. Let s be q(10). Let v(z) = s*y(z) - r(z). Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(66))\/((sqrt(54) + sqrt(54)*-2)\/sqrt(9)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139868 and 9052?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*((-1 + 1 + 2*j)*(-j + 2*j + 0*j) + 10*j**2 + 43*j**2 + 0*j**2) to the form w*j + v + i*j**2 and give i.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006579 to 7 dps.\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-556 + 553 + 2*f + 0*f - 10*f**3)*(-2 + 2 - 3*f).\nAnswer: 30*f**4 - 6*f**2 + 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -24 + 52 + 0 + -3 + 10 + 29\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2450305 - 245?\nAnswer: -2450553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96327 and 2703411.\nAnswer: 208162647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 57?\nAnswer: 13.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594053 is divided by 67.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -44*p**2 - 2126*p - 8507. What is i(-4)?\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f + 15 - 18 + 25 + 31 - 28*f**2 - 9*f**3. Let k(t) = 14*t**3 + 42*t**2 + 11*t - 79. Let a(u) = 5*k(u) + 8*s(u). Is a(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.2, -1 in descending order.\nAnswer: 0.2, 2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 - 5*s**2 + 2*s**2)*(-377*s + 279*s + 348*s + 2 + 5*s**2) to the form q + o*s**2 + c*s**4 + w*s + f*s**3 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6875782 divided by 12\nAnswer: -3437891\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*q + 1008 = -271*q. Calculate the highest common factor of 18 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 23142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose -6*k = -f - 3*k - x, 0 = -k. Let u(o) = -4*o + 10 - 26 + 3 + 11. Calculate u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - 4*g - 2. Let l be -7*(1 - (-6 - -6)). Let u(i) = 3*i**2 - 2*i - 1. Determine l*u(s) + 4*h(s).\nAnswer: 3*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 40*c - 306 = -40*c. Let u = 2 + -1. Calculate the lowest common multiple of c and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7044873 or 7044871?\nAnswer: 7044871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 5*u + 15*h, -80*u + 50*u + 2*h = -29*u + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**4 - 1 - 444*w**3 + 221*w**3 + 5*w**2 + 221*w**3 wrt w?\nAnswer: -72*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let a(p) be the first derivative of -554*p**3 - 550. Calculate a(z(x)).\nAnswer: -1662*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwww when four letters picked without replacement from {w: 12, g: 1, f: 3}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*b + 385 - 85, b - 43 = -3*p. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/17080 and -9\/81130.\nAnswer: 324520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(495)\/(sqrt(63)\/sqrt(7)*-1))\/(sqrt(99)\/(sqrt(9)*1) + sqrt(11) - -5*sqrt(1584)))**2.\nAnswer: 20\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**8\/224 + v**7\/28 + 3*v**6\/80 - 9*v**5\/40 + 21*v**2. Solve b(o) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 17512 = 5*c, 451*c = 453*c + 5*i - 7001. What is the remainder when c is divided by 100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9351330 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 61*y**2 - 6*y + 98. Let j(a) = -60*a**2 + 5*a - 68. What is 3*i(o) + 4*j(o)?\nAnswer: -57*o**2 + 2*o + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*n**3 + 0*n + 11*n**2 - 10*n + 171050 - 171050 to the form x*n**3 + r*n + y*n**2 + f and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2. Let o be t(1). Suppose 0 = o*a - 4*a + 196. What is the greatest common factor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*g - 4*h + 1, 2*g + h - 4 = 0. Suppose g*f + 2*f = -6. Sort -2\/17, 2\/9, f in ascending order.\nAnswer: f, -2\/17, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 13 + -1 + (10 - 3) + -15\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**(-27)*d\/(d**(-8)*d*d)*d\/(d*d*d\/(d**(-5\/2)*d)*d) assuming d is positive.\nAnswer: d**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 127, 129, 135, 145?\n\"Answer: 2*s**2 - 4*s + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:14 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 6981 - (-8 + 0)\/2 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*c - 14, -c - 143 = -144. Suppose -20361 = -0*y - 3*y + m, -y = -m - 6785. Suppose -q + 0*n - 4*n - y = 0, -s = -4*n. Round q to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u - 4. Let k be (1\/u)\/(-2 + 1). Sort k, 0.4, -3 in descending order.\nAnswer: k, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76015*t - 76003*t = 483192. What is the ten thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/13)\/((n\/((n\/(n\/n**1))\/n))\/n))**22\/(((n*n**(1\/4))\/n)**11\/((n\/n**(-2\/7)*n)\/n**(-1))) assuming n is positive.\nAnswer: n**(-1037\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 129576159 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 13*k = -4056. Suppose 8*n + 1699 = 5*d + 5*n, 0 = 2*d - 3*n - k. What are the prime factors of d?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**7\/m*m*m)\/(m**9\/m))**(-3\/13)*(m\/m**(-1\/3))**(-5)*m\/(m\/m**6)*((m*m**5)\/m*m)\/m assuming m is positive.\nAnswer: m**(151\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0517 + 0.1483. What is the smallest value in s, -3\/7, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cd (base 14) in base 13?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 8842 + 8841 = 5*r, -z = 4*r + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11194304 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - -0.12. Let o = -4.1 + r. Let p = -0.1 + -0.1. What is the nearest to p in 0.4, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q - 20 = 0. Is 10 a factor of 8\/(-6)*30\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + -3*sqrt(150))\/sqrt(10))\/sqrt(3).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(22)\/sqrt(2) + 0 - ((sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 2)))*-1)**2) + 5.\nAnswer: -1579 + 49*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(72) + -2)**2 + ((sqrt(72)*1 - sqrt(72))*3 + sqrt(72))**2 + 5.\nAnswer: -12*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o + 3806 - 5046 = 0 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f**3 + 0*f**4 - 3*f**2 + 1\/105*f**7 + 0 - 1\/30*f**5 + 0*f**6 + 0*f. What is the third derivative of h(x) wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d - 38. Suppose 313 + 87 = 5*x. Calculate the remainder when x is divided by g(20).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 25. Let g = -10 + x. Suppose -q + 2*y + y = -25, -y + 3 = g. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38a3064 (base 12) in base 14?\nAnswer: -16a7708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, l: 6}. Give prob of picking 2 y and 2 l.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -26. Let s be 16\/n + 95\/5. What is the greatest common factor of 75 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1655 + -1477. Calculate the remainder when u is divided by 63.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 4*o - 4*o)*(-1 - 2 - 1) + (-3*o - 2*o + o)*(-2 - 1 + 5).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 134187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2965 divided by 37.\nAnswer: 2965\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 20*s + 81. Let r be y(-13). Solve -r*m + 5 = -5*h + h, -4*h + 4 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15\/2))**(-1)\/(p**(-8)\/p*(p**(-14)\/p*p)\/p) assuming p is positive.\nAnswer: p**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/11)*l*l*l**(1\/12)\/l*l*l assuming l is positive.\nAnswer: l**(395\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1064675 or -1064640?\nAnswer: -1064640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.108 (b) 3\/2 (c) -1\/3 (d) -52 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-19)\/(-22))\/((-48)\/64).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**3 + 8*n + 22. Let f(s) = -s**3 - s - 1. Calculate 24*f(h) + 3*u(h).\nAnswer: 3*h**3 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - n - 1. Let b(f) = -4*f**2 - 2*f - 2. Suppose 2*j = 5*w - j - 308, 3*j = -3*w + 204. Suppose 4*r = -12*r - w. Calculate r*b(u) + 9*v(u).\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.838 * 0.2.\nAnswer: 7.1676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g = -12. Let s(y) = y**2 + 16*y - 897. Let c be s(-39). Put g, -2, 5, c in increasing order.\nAnswer: -2, c, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(-2 - -1)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -11. Let l = h + -3. Let v(q) = 294*q**3 + q**2 - q + 1. Is v(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/11 (c) 4 (d) 64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25118 - 24791. Solve -330*g = -q*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*u + 16 - 4, 3*q - 31 = -5*u. Solve k**3 - k + 0*k**2 - k**2 + q - 1 = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 84478 and -16066.9.\nAnswer: 68411.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 10) to base 16\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52654.29 grams in nanograms?\nAnswer: 52654290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 - -148. Solve 10 = -c*v + 19*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3, 3*f + 34 = -n + 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -321 + 323. Suppose 0*a + 12 = 2*a. Let w(x) = x**2 - 6*x + 3. Let d be w(a). What is the biggest value in d, c, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -244.41 + 5?\nAnswer: -239.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*q + 3*q + q**4 + 0 - 8*q + 2*q**2 in the form r*q**3 + y + z*q**2 + i*q + g*q**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 46, -0.1, 5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11407 + 11424. What is the fifth smallest value in 1\/6, 0.3, g, -0.5, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1278883 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5702 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Suppose 0 = 4*n + o*a + a - 185, 4*n = -5*a + 183. Suppose 2*f = -0*d + 4*d - 54, -3*f + 15 = 0. What is the remainder when n is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5 + 0 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -6 + (24 - 19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1280\/167? (a) 0.4 (b) 12 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 271181b3 - 4?\nAnswer: 271181ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421731171?\nAnswer: 7, 203104453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:42 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 12. Let z be n(-18). Let s(v) = v**3 - 19*v**2 + 2*v - 40. Let c = 16 + 3. Let l be s(c). What is the smallest value in 3\/4, z, l, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 32 + 23. What is the remainder when 76 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/738)\/((7\/(-42))\/((-380)\/(-190)))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 897 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.88 + 0.12. Let t = 7.2 - n. Let g = -1.3 - -0.3. What is the closest to -2 in g, t, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 14*c = 0, 0 = -3*b + 2*c + 123. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*d**3 + 31*d + 104*d - 3*d + 246*d**3 wrt d.\nAnswer: 1206*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 4*(-16)\/(-320)*25\/(-2). Which is the second biggest value? (a) h (b) -94 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -28 - -9 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22809 - -22860. Solve k*q = 11*q - 320 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*w + 7*w - 8*w)*((6 - 1 - 4)*(85 - 39 - 41) + (-4 - 3 + 5)*(-1 + 0 + 0)).\nAnswer: -126*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117238 - 215?\nAnswer: -117454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-5\/2))\/m)\/m)\/(m**(-9)\/m*m))\/(m**(-2\/17))**(-32) assuming m is positive.\nAnswer: m**(229\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 727 = 111*m + 61. Calculate the remainder when 208 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(448) + 0)**2 + sqrt(448).\nAnswer: 8*sqrt(7) + 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -368 - -382. Suppose -28 - g = -7*f. Solve -14 = 4*y - 2*r, 2*r = 3*y + f*r - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 30. Let b be h(19). Suppose -b*r - 40 = -12*r. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 10:58 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 + 4036*z - 195894. Give i(620).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyay. Give prob of sequence ya.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131370, -131334, -131238, -131052, -130746, -130290?\nAnswer: -129654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49*(-66)\/8085)\/((-1)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 2*a + 2. Let l = -11 + 7. Let m be u(l). Let z = -13 - m. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -41*x - 1021. Determine j(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 8. Suppose -6*f = -0*f. Differentiate f*z + t*z - 4*z - 3 with respect to z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffafallflalfl. What is prob of picking 2 a and 1 f?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:54 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3135*q - 2. Let x(r) = 447*r. Calculate x(j(v)).\nAnswer: -1401345*v - 894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.3. Let w = 6.45 + -5.45. Which is the third smallest value? (a) w (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1)*(-7 + 7). Let i be k + (-450)\/(3*(-4)\/2472). Suppose 17*d + i = 2*d. Round d to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -288, -1343, -3100, -5559?\n\"Answer: -351*b**2 - 2*b + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*w**4 - 3\/4*w**2 + 0 - 1\/4*w**3 + 1\/4*w.\nAnswer: w*(w - 1)*(w + 1)*(3*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 739 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 1506 - 111 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y - 7. Let h be l(5). Suppose -310*a = -313*a + 96. Let o = a - h. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 24486 = -24286. Let q = 7.7 + -7.7. What is the second biggest value in q, -3, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**2 - 9*d + 4. Let y(h) = 10*h - 51. Let a be y(5). Let k(m) = -3*m**2 - m. Let l(x) = a*j(x) + 3*k(x). Give l(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389\/((-462910)\/(-1785))*-26*10\/(-6).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.7, 11 in ascending order.\nAnswer: 0.7, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**4\/6 - 3*c**3\/2 - 13*c**2. Let u be f(-8). Suppose -r = -14 - u. What is r rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 4. What is the closest to n in 0.5, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1089533 years in centuries?\nAnswer: 0.001089533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.42, -0.5, -129355, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b = -48. Let q be (54\/(-24))\/(6\/b). Let x = 17 + q. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2814997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-20))\/(24\/(-15))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 74\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 5*z**3 + 0*z - 5\/4*z**4 - 5*z**2 = 0. Calculate z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/sqrt(11) - sqrt(288)*-4)*6 + -2.\nAnswer: -2 + 318*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 679.772 rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + f - 6*f + 8*f + 4*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2028 + 3895. Let a = x - 596. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3160.3 + 3160. Let s(w) = w**2 + w - 6. Let d be s(-6). Suppose -3*t + 4*l - 8 = 20, d = -4*t + 2*l. Which is the closest to 0? (a) t (b) 6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3 + 2985*o + 14602.\nAnswer: -6*o**2 + 2985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.1, -274, -320?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*j - 145 - 143. Let t(r) = 2*r**2 + 4*r + 2. Let v be t(-2). What is the highest common factor of j and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-156)\/286 - (-14004)\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266405 (base 10) in base 11?\nAnswer: 172177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9695 and 0.23.\nAnswer: -2229.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 10*t - 5. Let z be s(-11). Put z, -2, 4 in ascending order.\nAnswer: -2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7443863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s**3 + 13*s**2 - 13*s + 13. Let x(r) = -3*r + 4. Let g be x(-3). Let c(y) = -3 + 4*y**3 + 5*y + y - 6*y**2 - 3. Calculate g*c(m) + 6*t(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(275)*3 + 4*(sqrt(275)*5 + sqrt(275))**2.\nAnswer: 15*sqrt(11) + 39598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -18, -1, 5, 181, 10, -2.\nAnswer: -18, -14, -2, -1, 5, 10, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740*y - 738*y + 3*q = 13, -2*q + 5 = y. Let d be 1 + (2*7)\/(-2). What is the remainder when (-91)\/(-3) - (-2)\/d is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + (-1 - (2 - 3) - ((-56 - -102) + -56)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhoko. Give prob of picking 2 h and 1 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 571870534 to the power of 1\/2, to the nearest integer?\nAnswer: 23914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s - 2*s)*(-2*s + 3*s + 4*s)*(0 - 2 + 1) - 3*s**2 + 6*s**2 - 2*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + a - 12 = 0, -7 = -5*c + 3*a + 34. Calculate the remainder when 26 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8825*q + 8840*q - 32*q**2 - 17655*q + 10*q**2. Determine p(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 493376 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 2. Suppose 0 = 5*x - 8*i + 13*i, 5*i - 7 = 2*x. Let k(a) = -a. Give x*p(v) + 6*k(v).\nAnswer: -9*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 399520 and 90800.\nAnswer: 1997600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14878*p**5 - p**2 - 1635*p - 1.\nAnswer: -892680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9141915 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m**3 + 14*m**2 - 120*m + 5. Let o(w) = -7*w**3 + 8*w**2 - 58*w + 2. Give -7*o(l) + 4*u(l).\nAnswer: -3*l**3 - 74*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, g: 1}. What is prob of sequence ga?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*q**2 + 224*q**2 + 3 - 3 - 159*q**2 as w*q + c + t*q**2 and give t.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15202536.\nAnswer: 2, 3, 719, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -24, 1, -0.4, -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3035?\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 163193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 9 - -2) + (-414 - -415) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - c1d2a25?\nAnswer: -c1d2a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 16 = -4*p, 13*p = 143*c - 144*c - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*n + 0*n + 0*n + (-2*n - 4*n + 5*n)*(0 + 1 + 1) - n + 4 - 4 - 1 - 4*n + 1)*(-3*n**4 + n**4 + 3*n**4).\nAnswer: -9*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 22. Let q be 1*c\/35*-7. What is the biggest value in -3, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let a(j) = -4*j + 2. Let n = -607 + 606. Calculate n*a(s) - 6*q(s).\nAnswer: 10*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -3 + -2 + sqrt(891) + 3*sqrt(891) + -3)**2.\nAnswer: -720*sqrt(11) + 22339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122513625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3\/2)\/z**(6\/5))\/(z\/(z*z*(z**14\/z)\/z*z)*z\/z**(-10)))**(-1\/9))**(-34) assuming z is positive.\nAnswer: z**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/g**(-2\/11)*g**(1\/7)\/g)**(-1\/33)\/(g*g**0*g**6*g*(g*g\/g**1)\/(g**(-2)*g)) assuming g is positive.\nAnswer: g**(-25589\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -420*v - 5040. Let p be n(-12). Let f(k) be the third derivative of 0 + 0*k - 5\/8*k**4 + 1\/20*k**5 - 22*k**2 + p*k**3. Solve f(z) = 0 for z.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 99*q**2 - 1133*q - 2. Let l(z) = -z**3 + 2*z**2 + z + 1. Let d(i) = 2*l(i) + n(i). What is the second derivative of d(m) wrt m?\nAnswer: -18*m - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/10 and 99\/15980.\nAnswer: 15980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*n + 104*n = 3*c + 931, 3*n - 573 = -3*c. Calculate the remainder when 439 is divided by n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(5 + 3 - 5 + (5 - 1 - 6)*(-4 + 0 + 2))*(-3 - b + 3).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15074594?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**3\/5 + 62*s**2\/5 = 0?\nAnswer: -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2067.492925 to the nearest integer.\nAnswer: -2067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -3*h. Suppose 2*x + 10 = -3*d, x + 5 = 5*d - 0*d. Which is the nearest to h? (a) -0.4 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 8565 - 8565.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -17. Let r(h) = 36*h**2 + 2*h - 2. Let t be r(-3). Suppose s + 5 = -4*s, 0 = 4*y + 4*s - t. What is the highest common factor of v and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from zooazoooazzoz.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5 + 15. Suppose -7*c - 12 = -4*c, -2*c - 20 = -n*q. Find the second derivative of -q*o**5 + 3*o + 6*o**5 - o wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -584*h*k**2*q**2 - 280*h*k*q**3 + 276906*k**2*q**3 - q**3 wrt h.\nAnswer: -584*k**2*q**2 - 280*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-4*sqrt(171))**2 - (sqrt(171) + -1 + -4)) + 5.\nAnswer: -3*sqrt(19) + 10954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(1 - 443*r**2 + 360*r**2 - 1).\nAnswer: -249*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16725 * -1566.\nAnswer: 26191350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 34*m**2 - 15*m + 6. Let d be i(-8). What is the second derivative of -d*o**3 + 2302*o**3 + 104*o**2 - 2 + 2*o**4 - 49*o wrt o?\nAnswer: 24*o**2 + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, -9, -0.4, -3\/14, 4?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9388*z - 1544*z + 4889*z to the form v + o*z and give o.\nAnswer: 12733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckoccffccfftkfkocnt. Give prob of sequence ok.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/31*(-1672)\/1320.\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66645?\nAnswer: 3, 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 241*h**3 - 6*h - 1 - 243*h**3 + 6*h - h**2 + 4*h**4 in the form g*h**4 + o*h + s*h**2 + t*h**3 + n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/14 - 4831968\/(-336)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -51*l**2 + 23584*l + 132928. Determine f(468).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 238 + -4?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(36)\/sqrt(2)*-4)\/((sqrt(108)*-2)\/sqrt(12)))**2 + (sqrt(686) + sqrt(686)*-1)\/(-1*sqrt(28))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 6, e: 10, b: 4}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -157. Let s be (-4 - -7)*(-166)\/6. Let l = s - b. Calculate the highest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/21)\/8 - 240*(-345)\/(-34776)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 10012218?\nAnswer: -14\/5006109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 598.5 + -598.2. What is the closest to 2\/7 in -0.4, 1.4, 11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101736, 0.3, 168 in ascending order.\nAnswer: 0.3, 168, 101736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {a: 1, i: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfrr when four letters picked without replacement from rrrvrvfvr.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2 + 2)*(4 - 2 - 3) - 10*v + 44*v + 21*v + (0 + v + 0)*(-4 + 2 + 3) - 65 + 65 - 39*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 y, and 1 c when three letters picked without replacement from fjfiysics.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g - 2. What is the smallest common multiple of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -308*q + 38. What are the prime factors of h(-23)?\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bd5 (base 14) to base 10.\nAnswer: -7831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1073 + -1071. Put 4\/27, t, 5 in descending order.\nAnswer: 5, t, 4\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, c: 6, o: 4}. Give prob of picking 3 c.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34320 and 6600.\nAnswer: 171600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31 - -18a?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5578118 = 68*g + 995530. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.11801814.\nAnswer: 0.47207256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m. Let s(u) = -14 - 3 + 19 - 2 + 4*u. Give 5*j(b) - 4*s(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 97 = 2*l - 15, -5*l + 3*f = -294. Let c = 938 - 822. Calculate the remainder when c is divided by l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 + 2*s**2 - 4*s + 1. Let l be p(1). Let d be 1 + (l - -3) + -6. Let t(v) = v**2 + 6*v - 1. Give t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d - 16. Is 7 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2302? (a) -7 (b) -0.3 (c) -2 (d) 2\/183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 1:35 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3897.6 - -3897.7. What is the nearest to s in -1\/4, 4, 0.429?\nAnswer: 0.429","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*x - 88*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 45*g**2 + 198*g - 9. Calculate the smallest common multiple of 2268 and o(-7).\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -46. Find the common denominator of h\/1080*(2 + -4) and 27\/5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38474 or 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -163 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -625, -1500, -2889, -5050, -8241, -12720?\n\"Answer: -43*a**3 + a**2 - 577*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.96 + -0.04. Let g = 0.4 + -11.4. Let j = g + 8. What is the third biggest value in z, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 1 - (-33 - -6)*64\/(-576)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -11*f**4\/12 + 17*f**2\/2 + 16*f - 5. Let m(v) be the first derivative of p(v). Differentiate m(w) wrt w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4013*f + 200647. What is q(-50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = 9*d + 6*d - 390 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3)*(2 - -1). Let w(a) = a**2 + 3*a - 49. Let l be w(-9). Sort h, -5, l.\nAnswer: -5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3284?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60071.3l to millilitres.\nAnswer: 60071300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (1*(1 + sqrt(1872)))**2 + (-1*sqrt(1872) + sqrt(1872) + 0 + sqrt(1872))**2).\nAnswer: 96*sqrt(13) + 14980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 12) to base 14.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 13*l**3 + 1 + l + 1 + 3 in the form c*l**2 + b*l + f*l**3 + v and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**6\/30 + t**5\/6 - t**4\/4 + t**3\/9 - 11*t. Determine v, given that o(v) = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1274 divided by -7\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*f = -51, -i - 3*f + 33 = i. Suppose 3*d - i = 3*q, 2*d - 4*q - 10 = 10. Solve d*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132484\/6022 + (-1 - 0)*(4 - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2165\/866)\/(10*(-27)\/24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5944990 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*c + 510, 4*g = -7*c + 2*c + 494. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10502495845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4125799 is divided by 842?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1871593.\nAnswer: 3\/1871593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-45)\/(-27))\/(1\/3). Suppose 128 = 3*l - 5*i, l + 3*i = -b + 29. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -7*v**5\/60 + 5*v**4\/12 + 4*v**3 - 14. Let m(k) be the third derivative of t(k). Does 41 divide m(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkdk when four letters picked without replacement from {d: 4, k: 4, g: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -10*s - 26 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353556\/(-4830)*755\/(-2).\nAnswer: 3, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:52 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3\/4 (b) 6 (c) -7 (d) -23334\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*t + 36 = 0, -4*r + 56 = -2*r + 6*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189797.\nAnswer: 3, 7, 53, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2*r**2 - 6*r**2)*(3*r + 3*r - 5*r + (r + r - 3*r)*(3 + 1 - 5) - 2 + 2 - 4*r).\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/42795 and -89\/394665.\nAnswer: 3551985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 22*c - 21*c + 5*k, 2*c + k - 199 = 0. Let v be (-282)\/5 - (-2)\/5. Let d = c + v. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 2. Suppose 0 = -6*c + 2*c + 2*g + 6, -9 = -l*c + g. Suppose 6 = c*o - 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202438?\nAnswer: 2, 127, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -3, -0.3, 17\/8?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppy when three letters picked without replacement from {y: 7, p: 2, d: 3}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 827 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 50*b + 194. Calculate v(47).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -857\/4 - -213. Let y = -34 - 140. Let x = y + 174.3. Which is the nearest to x? (a) h (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 126*y**3 - 2*y**2 - 4*y + 25. Is i(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 184, 183?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2723*o**3*r**3 - 2*o**3*r - o**2 + 91*r**3 - 2 wrt o?\nAnswer: -16338*r**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1686816189 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2539, -4202, -4133, -1468, 4657, 15106, 30743?\nAnswer: 52432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**6)\/(b*(b\/(b*b**(1\/10)\/b))\/b))\/(b*b**1\/b*b\/((b**(1\/4)*b)\/b)) assuming b is positive.\nAnswer: b**(87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*o + 2 + 318*o + 2 - 4*o**3 + 0*o**3.\nAnswer: -4*o**3 + 227*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:41 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, -22, -499, -31, -1 in descending order.\nAnswer: 3, 2, -1, -2, -22, -31, -499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 672, 6269, 21448, 50997, 99704, 172357, 273744?\n\"Answer: 798*m**3 + 3*m**2 + 2*m - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 58*q + 891. What is j(-15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.053 + 0.106. Let j = -0.275 + -0.078. Let y = j + s. Which is the third smallest value? (a) y (b) 2 (c) 2\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:53 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -79, -187, -401, -757, -1291, -2039, -3037?\nAnswer: -4321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d\/((d*d**(1\/7))\/d))*d)))\/(d**(-31\/4)*d) assuming d is positive.\nAnswer: d**(221\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -68805100 divided by -4\nAnswer: 17201275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 17*t + 4. Let m = -183 + 174. Let w be s(m). Solve w*b + 20 = 9*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4 (c) 131.1 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00224277 - 10?\nAnswer: -10.00224277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263134629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(525) + sqrt(21)))\/((sqrt(27)*2)\/sqrt(9)) - 1*(-2*(sqrt(700) + sqrt(700)*2)*5)**2.\nAnswer: -630000 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 23 = 19. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14053 > 14040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 140*m**2 + 27*m - 159. What are the prime factors of c(9)?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-82)\/28)\/(15\/2). Let t = w + 4\/21. Which is the closest to 1? (a) 4\/5 (b) -2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 719 - 346 = -3*j, 5*j - 1782 = 4*f. Does 34 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-4)*(-3 - -1). What is the tens digit of 2\/(-6) + (-480)\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 68*l + 51. What is h(-19)?\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-79 - -14) + -9 + 25?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.571*636.\nAnswer: 2271.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 9*o**2 + 5*o - 14. Calculate g(8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 609612105.\nAnswer: 609612104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.48519 months in millennia?\nAnswer: 0.0087904325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.42.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**2 + 2 - 2 + (r**2 - r**2 - r**2)*(1 - 5 + 2) + 8*r**2 - 3*r**2 + 35*r - 40*r.\nAnswer: 13*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 100 from 0.0376.\nAnswer: -99.9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420134 and 145431?\nAnswer: 3781206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2618, -0.4, 132\/115, 4\/7, -5 in ascending order.\nAnswer: -2618, -5, -0.4, 4\/7, 132\/115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -2*z**4\/3 - z**3\/3 + 2*z**2 + 4290*z. Calculate f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32121557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-392)\/(-76) - 75\/15. Which is the smallest value? (a) 3 (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 13. Let u(z) = 6*z - 19. Let d(f) = 5*u(f) + 7*x(f). Let j = 11 - 5. What is the units digit of d(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2622350876?\nAnswer: 2, 37, 1831, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one eighteenth of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14352*t + 8213?\nAnswer: -14352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/66 - -4*2\/(-44). Let w = -10 - -4. Let k be 100\/(-32) + w\/(-2). Which is the nearest to o? (a) 1\/3 (b) k (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/20)\/(37\/(-185))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -5 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 14 + 2*u + 0 - 1. Let x = -42 - -31. Suppose 2*h + 24 = -2*h. Let k(d) = -d - 7. What is h*f(o) + x*k(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtcc when four letters picked without replacement from {c: 2, d: 1, v: 2, t: 1, f: 1, m: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/180 and 127\/120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -673658562, -673658563, -673658564, -673658565, -673658566?\n\"Answer: -d - 673658561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at most as big as 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:37 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-2)\/4*2. List the prime factors of (-1 - -3)*a*(-1179)\/(-54).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 391 + -642. Let g = i + 249.91. Let o = -0.09 - g. Sort o, -6, -2 in decreasing order.\nAnswer: o, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) 0.2 (c) 4 (d) -4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*y + 22, 5*f + 10 + 8 = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -29*g + 1. Let d(b) = -86*b + 3. Give -3*d(p) + 8*h(p).\nAnswer: 26*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1695 - 3110 = 0. Suppose 3695 = 5*z - u. Round z to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**1\/t*t*t**(-7)*(t*t\/t**2*t*t)**43 assuming t is positive.\nAnswer: t**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42240 (base 5) to base 2.\nAnswer: 101100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4347 + 11325. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -4, 1, 0, 886 in ascending order.\nAnswer: -5, -4, 0, 1, 5, 886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/(-553644)*-104)\/((-4)\/(-18)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 364510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**5\/2 + 3*u**4\/2 - 45*u**3\/2 + 69*u**2\/2 - 15*u = 0.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/169 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11825 - 35474\/3. Factor -1\/3*t**2 + 0 + 0*t - s*t**3.\nAnswer: -t**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*-1 + 6 + -6. Is c < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4.4. Let s = -0.05 + 3.05. Suppose 0 = 2*x + 4*v - 4, -2*x + 3*x + 4 = 4*v. What is the third smallest value in x, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = f - 5*l - 15, -5*f - 5*l = 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.80501*-2\nAnswer: 1.61002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*-1)\/((-1)\/(-3)). Let w = 3 + i. Suppose -4*f = 2*q + 18, 3*f + 4*q + 6 = -w. Let g(n) = -4*n + 8. Let d(a) = 7*a - 15. Determine f*d(h) - 11*g(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14001 (base 6) in base 11?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -y - 35. Let d be (-33)\/(-11) - y\/(-8). Let m = -2 - d. Which is the second smallest value? (a) 0.4 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.61311 + -1.01311. Let t = -0.7 + -0.3. Let v = t + 2. Which is the nearest to v? (a) -2 (b) i (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylwjw. What is prob of sequence wj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose -p + 4*j + 19 = 0, -3*p + g*p - 3*j = 9. Is ((-215)\/(-15))\/(1\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3279\/9 - 0) + 1\/(-3).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11613297327 from 0.05771.\nAnswer: -11613297326.94229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4946 divided by 214?\nAnswer: -2473\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:39 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/9 - 58\/(-18). Suppose a = z - 2*m - 1, -2*m + 20 = 5*z. Solve -5*s + z*v - 1 - 2 = 0, -18 = 4*s + 2*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12540 - 7267. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 27. Let r(f) = -7*f - 1. Let y(d) = d. Determine x*y(p) + r(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j - 9. Let d(o) = -18*o + 15. Let a(b) = -6*d(b) - 10*q(b). Let s(f) = -645*f. Determine s(a(z)).\nAnswer: 1290*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849222 to the power of 1\/2, to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 7*i**2 + i + 8. Let o be y(-7). Suppose -4 - 26 = -5*z. Let s be (-4)\/z*(-73 + o). What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.35 and 72457874.48.\nAnswer: 72457874.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1547 + -175?\nAnswer: -1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 4 + 0 + 12 - 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5646971387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78046571 is divided by 561486?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3346 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 918983\/9 + -102312. Let o = y + 203. Which is the closest to 0.1? (a) o (b) -4 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 5*g**2 - 8*g - 50. Give o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from {q: 7, f: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 108*d**2 + 110*d + 225. Determine o(-53).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/16 - (2 - 2\/2). Which is the second smallest value? (a) g (b) -29 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, -0.2, 22, 1\/4, 57 in descending order.\nAnswer: 57, 22, 0.4, 1\/4, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 - -12*7\/(-6). Let u be -1*(-14 + 2\/(-2)). Suppose -u + l = -3*d. Calculate the remainder when 52 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211390 to the power of 1\/2, to the nearest integer?\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:12 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -18*u**2. Let h(a) = a**2 + 5*a - 4*a - a. Calculate j(h(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-40)*1\/(2\/10). Let g(m) be the first derivative of -2\/9*m**3 - s*m**2 + 8\/3*m - 3 + 1\/4*m**4. Determine w so that g(w) = 0.\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153590343 divided by 3\nAnswer: -51196781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 0 - 2) + 773 + -795?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-9)*1\/(-3))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104448 and 6621024?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -6161.\nAnswer: -6161.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 3*l. Let p = -13 - l. Let y = -5 - p. Solve 0 = 4*z + t - 5, -y*z - t + 2 = t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.8992902 and 53.\nAnswer: 52.1007098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 147118788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*t - 343 - 1153. Solve 84 - t = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -5*i**6\/6 - 2*i**5\/5 + 81*i**3 + i**2 + 862. Find the third derivative of k(o) wrt o.\nAnswer: -300*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nny when three letters picked without replacement from nnwwwnwynnnnww?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d + 95. Let l(h) = -h + 26. Let k(s) = -4*g(s) + 15*l(s). What is k(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o = 0, 5*j - 1365 = o. Let p(s) = -j + 273 + 18*s. Let f(b) = b**2. Calculate p(f(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 433 (base 5) to base 15\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5358694 - 187\nAnswer: -5358881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/12 + j**3 + 20*j**2. Calculate z(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 5*y**2 - 8*y - 4. Let o be q(-6). Suppose 2*i = -o, -i + 59 - 199 = -2*p. Let j = -64 + p. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/24*(-29)\/(-2) - 3 and 103\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*t = 14 - 0, 1 = 5*b - 4*t. Let a(y) be the first derivative of -y**4\/4 - 5*y**3\/3 - 2*y**2 + 10. Calculate a(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t + 152. Is v(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/6 + 127*k\/6 = 0. What is k?\nAnswer: 0, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14)\/q)**(-2\/83) assuming q is positive.\nAnswer: q**(30\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -292 + 3210\/11. Let n be 14\/6 - (-16)\/(-24). Sort -0.4, f, n in ascending order.\nAnswer: -0.4, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -47, 66, 11, -4, -1 in increasing order.\nAnswer: -47, -4, -3, -1, 1, 11, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 5*k**2 - 3*k + 1. Let v be u(-5). Let n = v - -4. What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 1, 3, 78750\/11, -0.4, 1\/8?\nAnswer: 78750\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**6\/4 + 18*r**5\/5 - 81*r**4\/4 + 56*r**3 - 315*r**2\/4 + 54*r + 7149. Suppose n(q) = 0. Calculate q.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11298 is divided by 2823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -167*i + 518. What is s(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 666 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/40)\/(1\/5). What is the remainder when s\/18 - (-742)\/18 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 563 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -54805 minus 8.0722963?\nAnswer: -54813.0722963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 217 + 9\/(6 - 3). Suppose -2*d - 148 = -5*d - n, 0 = -5*d + 5*n + c. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*y**3 - 589*y**2 + 589*y**2)*(4*y - 3*y - 3*y).\nAnswer: 124*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Let s(o) = 12*o + 11. Let q(k) = -k - 1. Let w(c) = 22*q(c) + 2*s(c). Calculate w(x(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3655.771 minutes to microseconds.\nAnswer: 219346260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009977 to 6 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-4 + (1 - -2) + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -16672\/13 >= -1281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (24 - (17 + 8))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26239 - -26460. Calculate the greatest common factor of 36244 and h.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 5*j, 0 = -3*h + j. Suppose -7*k + 24 = 3. Solve h = 4*m + k + 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {q: 2, a: 1, d: 4, s: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0 + 0*d**4 + 1\/30*d**5 + 0*d**3 + 3*d - 35*d**2. Let b(h) = 506*h**2. Determine l(b(f)).\nAnswer: 512072*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + a + a - 2*a + 0*a + 0*a + (5 - 1 - 2)*(-5*a + 4*a + 0*a) + (-2*a + 0*a - 3*a)*(-5 + 3 + 0) + 0*a + 3*a - 4*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v + 1. Let w be o(1). Solve 0*f + 4*u = 2*f - 8, 2*f - 3*u - w = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**3 + 7*z**3 + 17*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 + 93 - 197 + 136*d**3.\nAnswer: 136*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34877479 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2951128.\nAnswer: 2, 97, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t - 17. Let l be w(-4). Suppose -3*q + 1 = -l*a - q, -2*a - 26 = 5*q. Sort 1, 0.1, 2, a.\nAnswer: a, 0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 0 - (sqrt(2) - (0 + sqrt(2)))*1)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3.6762 times 3.1\nAnswer: 11.39622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/1351 - 63473\/8106. What is the common denominator of 47\/656 and u?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45 - (88 - -36)) + 42\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-1) - 22\/8. Let x be (2\/(-11))\/(-3 + 2). What is the third smallest value in x, y, -0.05?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 349 - 11*x - 23*x - 22*x - 7*x + 21 wrt x.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 divided by -159?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -7*c**5\/20 - c**4\/6 + 18*c. Let b be (22\/(-4))\/((-3)\/6). Let s(i) = 417 - 417 + b*i**3 + 3*i**2. Determine 5*s(p) + 8*w(p).\nAnswer: -p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0, -3, 1\/2, 4 in ascending order.\nAnswer: -3, 0, 1\/2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 6 - 29. Let x be (-700)\/(-22) + o\/(220\/(-8)). Suppose 11*r - 87 = -x. Solve -3*v = n + 17, 5*n + 2 = r*v - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.815, -1, 3\/4475 in descending order.\nAnswer: 3\/4475, -0.815, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120253492?\nAnswer: 2, 41, 283, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-12\/5))\/(a\/a**(-8)))\/((a**9*a)\/a**4))**(-21\/2) assuming a is positive.\nAnswer: a**(1113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/2 - 3*(4436\/(-184) + 23)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1886.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-50)\/(-15) + (-2)\/6 - -278. Let c = i + -141. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 228*t + 7201. Give j(-69).\nAnswer: 991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 723, 2, -2, -3, -65 in ascending order.\nAnswer: -65, -3, -2, -1, 2, 3, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + 2.1. Which is the smallest value? (a) j (b) 1\/6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**3 - f**2 + 4*f - 4. Let y be w(2). Suppose 0 = -4*c - c + y. Suppose c*j - 13*j - 582 = 0. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106736, -106740, -106746, -106754, -106764?\nAnswer: -106776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z**3 + 257*z - 257*z.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 13 - 228*o**3 - 872*o**3 - 9.\nAnswer: -1100*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -92*x**3 + 62940*x**2 - 382912*x + 352560 = 0.\nAnswer: 26\/23, 5, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 3, p: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {c: 3, g: 13}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3961406 + 245337.\nAnswer: 4206743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340714 and 17204.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3009\/14383 - 1\/757. Let n = -82307\/2 + 40356. Let a = n - -749. Find the common denominator of m and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 7*d - 8*d, 21 = 3*n - 4*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -289?\nAnswer: -5\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 49. What is the third derivative of -7*o**a + 0*o**4 - 2*o**2 - 16*o**4 wrt o?\nAnswer: -552*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 4*h**2 + 4*h**2 + (0*h**2 - 11*h**2 - 3*h**2)*(0 - 5 + 3)*(-1 - 3 + 2) to the form z*h + a*h**2 + o and give a.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1, -2, -1 in descending order.\nAnswer: 1, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-95)\/190)\/(2\/(-12360)).\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 3*o + 4. Let q be v(-3). Calculate the highest common divisor of 88 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 2. Let y be g(0). Suppose -3*q = -y*q. Suppose q = 3*l - 4*l + 20. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 162, 244, 460, 876, 1558, 2572, 3984?\n\"Answer: 11*a**3 + a**2 + 2*a + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -r - 47, r - 25 = -922*q + 920*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - y**2 + y. Let u(t) = 2*t**4 + 42*t**3 - 67*t**2 - 4*t. Let n(v) = u(v) + 4*z(v). Find the third derivative of n(x) wrt x.\nAnswer: 48*x + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 81. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 459752 and 32.\nAnswer: 1839008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-6)\/(-236))*3\/(-6). Let d = c + 61. Factor 1\/4*f**d - 3\/4*f + 1\/2.\nAnswer: (f - 2)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2857\/840 - 61\/84. Find the common denominator of 2\/5 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2864*r - 2553 wrt r?\nAnswer: 2864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*c - 2. Let r(l) = -108*l + c - 2 + 107*l. Let u(j) = 3*j - 1. Let m(g) = -g**2 - 13*g + 35. Let h be m(-15). Give h*r(o) + 2*u(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*((-2*(sqrt(891) + 0))**2 + -2 - 2*((5 + -2*sqrt(891))**2 - sqrt(891))).\nAnswer: -10844 + 1134*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 10*j + 6*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2110*r + 2105*r + 33 = 0, 4*n - 4*r = -20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-2))\/((-3)\/(-4)). Suppose 32 = -2*o + i*o. Suppose -2*n + 21 = q, q = 3*n - 7 - 12. Calculate the least common multiple of o and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o - 5*o + 0*o + o + 0 + 0 - 2*o + 2*o + 3*o + (3 + 1 - 2)*(-2*o + 4*o + 0*o) + o - 4*o + o)*(0*o**3 + 0*o**3 + 2*o**3)*(0 + 16 - 1).\nAnswer: -150*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192984 and 5966895?\nAnswer: 811497720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892896 is divided by 58.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46, 95, 144, 193, 242, 291?\n\"Answer: 49*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/sqrt(490) - (sqrt(325) - ((sqrt(325) + 0 - sqrt(325)) + sqrt(325))**2).\nAnswer: -34*sqrt(13)\/7 + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4131*z + 3*z**2 + 4131*z. Let u(v) be the second derivative of -v + 0*v**2 - 1\/6*v**3 + 0. Calculate u(k(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 8)*(3*n - 3*n - n**4) - 2*n**4 + 0*n**3 + 0*n**3.\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 31156, 9, 3, 5, 92 in increasing order.\nAnswer: -3, 3, 5, 9, 92, 31156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrere. Give prob of sequence rrer.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w + 0*w + 26*w as q + h*w and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 1 + 19. Suppose 9*q - 4*q - 15 = 0. Let c**q - 20*c**5 - i*c**3 + 23*c**5 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 181 + 63*d + 89 - 64*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 21367290 to the nearest 10000.\nAnswer: 21370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179813 + -179813. Let j = -82\/3 - -27. Let w = -1.9 - -2. Which is the nearest to w? (a) 1 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**2\/2 - 2*n - 1. Let a be o(-6). Suppose a*b - 20 = 4. What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1167 divide 225149818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15 - -1)\/(1 + -3))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + v - v - 7*v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.27228 millimeters in micrometers?\nAnswer: 16272.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -70. What is the common denominator of 59\/52 and (24\/40)\/((-6)\/f)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30018 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/49)*g)\/g*(g\/(g*g*g*g**17))\/g)\/((g**14\/g)\/(g\/(g\/(g\/(g*g*g**16\/g))*g))) assuming g is positive.\nAnswer: g**(-2448\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**5\/30 - 5*n**4\/27 + n**3\/3 - 2*n**2\/9 - n - 4. Let k(z) be the first derivative of j(z). Factor k(m).\nAnswer: 2*(m - 2)*(m - 1)*(3*m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*t - 669 + 669)*(1 - 1 - t**2) + (6*t - t - 3*t)*(-t + 4*t - 2*t)*(0*t + t - 2*t).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*r + 48*r + 59*r - 162*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2 + 310836*i - 12077377362 = 0.\nAnswer: 77709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 496994 - -313006. Round y to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -16673\/5869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258566566, 258566568, 258566570, 258566572, 258566574?\nAnswer: 258566576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 - 2*m + 2. Let k be b(0). Solve -3*d - k = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h**3 + h**2 + h - 1. Let o be y(2). Let a = o + 161. Suppose 6*s = 4*s + a. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 313506 - 2344?\nAnswer: 311132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/251 - 8572\/17821. Find the common denominator of v and 34\/7.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125812 is divided by 7860?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - q**2 + q**2)*(3*q - 3*q + 3*q**2) + 7*q**4 + 2*q**2 - 2*q**2 + (2*q + q**2 - 2*q)*(7*q**2 - 2*q**2 - q**2).\nAnswer: 17*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10836 - 6452. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + 43. Let g(k) = -k**2 - 18*k - 24. Let m be g(-16). Let p be o(m). Solve 10 = 5*c, -p*u + u + 3*c - 4 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + -11 + (-11 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 118351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9892 + 2*l**2 + 3*l**3 - 9893 - 5*l**3 - 8*l + 4*l**4 to the form a*l**2 + x*l + y*l**4 + z*l**3 + u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 890, 1346, 1820, 2318, 2846, 3410, 4016?\nAnswer: 4670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.782 to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 48 = -15*n. What is the greatest common factor of n and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4*10\/40)\/(6\/18). Sort j, 5, 2, -138.\nAnswer: -138, 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 163*x**2 - 92*x + 861. Calculate d(81).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 1:57 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 42 + 308. Suppose k + 97 = q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 492, 899, 1306, 1713?\n\"Answer: 407*y + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 260296 + -260291.8999988. Let f = 10.4 + -6.3. Let w = f - o. Round w to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a**2. Let j(c) = -5872023*c**2. Give b(j(l)).\nAnswer: 448248503462877*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(0 + sqrt(272) + -3)*2.\nAnswer: -8*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2\/9 (b) -5\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136148012 to the power of 1\/2, to the nearest integer?\nAnswer: 64313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 835 + -637. Suppose -188*q + 199*q - r = 0. Calculate the remainder when 39 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016198 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n = 45*n - 138*n + 31 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)*(-2 + 3). Suppose -4 = -h*p + 8. Suppose -5*k = -2*k - p. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-55)\/44)*-4. Solve -4*x - m = 3*f - 18, -4*f - 4*x + 12 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6216 - -6885. What is the highest common factor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18854, -75240, -169216, -300788, -469962, -676744?\n\"Answer: -z**3 - 18789*z**2 - 12*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810986487.\nAnswer: 3, 109, 2480081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -71. Let j(z) = z**2 + 4*z + 8. Let a be j(i). Solve 5*v + f + 1 = -a, 4*v = f - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15974329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4031053 tonnes in micrograms?\nAnswer: 403105300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(((i**(-6)\/i)\/i*i)\/i)\/i)\/i**(-6))\/((i\/i**(-3\/4))\/((i\/(i\/i**(1\/10)))\/i))*(i**0)**21\/(i*i**(-1\/4)*i*i**1) assuming i is positive.\nAnswer: i**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40\/(-6))\/((-45)\/135). Suppose -108 - 6512 = -f*m. What is the remainder when m is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9*m = 231. What is the common denominator of -45\/4 and m\/10 - (5 - 9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -2, 4\/7, 26, 0.2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.26092194 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-5) + (-207)\/90)*-18. Let t = 50 - p. Suppose 13 = -5*m - 4*j + t*j, -4*m = 5*j - 7. Let y(w) = w + 2. Give y(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126706915 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*k = 618*k + 1538 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k**3*z**2 + 4*k**3 - 2*k**2*z**2 + 4*z**3 - 21 wrt z.\nAnswer: 16*k**3*z - 4*k**2*z + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jttjttjtjptjjt. What is prob of picking 4 j?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 + -182. Suppose -8*j + 7*j - 5*u + t = 0, -u = -2*j + 43. Suppose -384 = -h - 3*h + 4*z, h - 96 = 4*z. What is the remainder when h is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172 (base 8) to base 7.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3537 and 15579.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 15 = -0*k. Calculate the remainder when 7 is divided by 14\/2 - (-2 - k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 2:46 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -5)*(-26)\/(-8). Suppose t - 5*j - 12 = 0, -4*t + k = -2*j + 1. Solve -4*x - 30 = 3*y - 7, -t*x - 11 = y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1099444630?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7414, -14832, -22250, -29668?\n\"Answer: -7418*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*(-3 - -5 - 1). Let o = 13 + l. Suppose 0 = j - o*j + 40. Let x(h) = -5*h**2 + h. Let m(g) = -14*g**2 + 2*g. Give j*x(u) - 3*m(u).\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + -5*sqrt(13)*2 + (sqrt(156)*-2 + sqrt(156))\/sqrt(12) - 2*(-1 + sqrt(13)*-1)*-6))**2.\nAnswer: 7360*sqrt(13) + 111632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-418)\/(-6) - 2\/3. Let t be 1\/3 + (-184)\/(-24). Suppose 0 = -j + k + t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 232068 = 216772. Is 229 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19782.792 minutes in days?\nAnswer: 13.73805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 325 and 0.3.\nAnswer: 97.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let l be (-2 - (-5)\/(-10))\/((-2)\/(-4)). Which is the nearest to -0.1? (a) -3 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 80*k. Let c(m) = m - 6. Give y(c(d)).\nAnswer: 80*d - 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/136 and -87\/316?\nAnswer: 10744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -9. Let x = 13 + d. Suppose -x*o + 4*y = -0*y - 82, -4*y = -3*o + 54. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.7, 1, -1, -2\/13 in descending order.\nAnswer: 1, 0.7, 2\/9, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1518 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/36 - (34\/(-6) + 2). Solve 5*w - y + 0*y = 27, l*w + 3*y = 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**8\/10080 + k**7\/3780 - k**6\/1080 - k**5\/180 + k**4\/2 + 13*k**2. Let b(f) be the second derivative of o(f). Factor b(z).\nAnswer: 2*(z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**7\/42 + 14*o**6\/15 - 131*o**5\/10 + 77*o**4 - 363*o**3\/2 - 17*o + 2. Factor r(i).\nAnswer: -i*(i - 11)**2*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51968*z**2 + 3*z**3 - 188122*z**2 + z**3 - 180406*z**2.\nAnswer: 4*z**3 - 420496*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(3\/5)))\/s*s)\/((s\/(s**(-8)*s)*s*s)\/s))**24 assuming s is positive.\nAnswer: s**(-1008\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142 + 151. What is the third smallest value in -0.3, -0.1, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 0 (c) 9\/4 (d) 5 (e) -142\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8353497*g**2*s**2 + 2*g**2 + 13*g*s**4 - 225*g - 99908 with respect to s.\nAnswer: -16706994*g**2*s + 52*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 310*r**2 - 2437*r + 7. Determine d(8).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -304469*h**5 - 3*h**4*n - 2597761*h*n wrt h.\nAnswer: -6089380*h**3 - 36*h**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:17 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65164 is divided by 84?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 755 + -758. Sort 0.45, c, -1.5, 2 in descending order.\nAnswer: 2, 0.45, -1.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/6)\/((-1)\/6). Let d = 8 + h. Let j be -719996 + (3 - d) - 2. Round j to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120312112 (base 6) to base 9\nAnswer: 4231378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11205 divided by -3735\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3104 and 873.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9280161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 0.1.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:00 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + g - t + 89, -1 = -t. Calculate the least common multiple of g and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41660360 + 41634716.983. Let u = c - -25631. Let i = u - -12. What is i rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94821 - 94817. Let k be (-4)\/18 + 7\/18. Which is the closest to 0? (a) r (b) k (c) 0.1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a + 29*a - 22*a**2.\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*q + 172*q + 149*q)*(4 - 1 - 2)*(-7*q**3 - 17*q**3 + 4*q**3) + 4 - q**4 - 4.\nAnswer: -4421*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 66448?\nAnswer: 66448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -6. Is 1 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**6\/120 + 2*g**5\/15 + g**4\/6 + 5*g**3\/6 + 269*g**2\/2 + 136*g. Let k(d) be the first derivative of w(d). Give k(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.6, 3\/5, -1\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 8. Suppose -z - 3*z = 0. Let r be o(z). Solve -s + 22 = -4*t, 0 - r = s + 2*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13d - 1798?\nAnswer: -18d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 8*c - 144. Suppose -p + 0*p + 4*a = 12, -2*a + 8 = -p. Let n(q) = -q**3 - 2*q**2 + 4*q. Calculate the remainder when c is divided by n(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/12 + 2*y**3\/3 + 3*y**2\/2 - 29*y. Calculate b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.564*-1.\nAnswer: -0.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1240 divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f. Let v be u(0). Suppose 3*m - 1426 - 392 = v. What is the first derivative of -616 - 19*g**4 - 11*g**4 + m wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 - 2*k**2 + 7. What is the least common multiple of s(3) and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1 (b) -5 (c) -0.3 (d) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (2 + 0 + -7). Suppose 6 = 5*q - 4*v, -5*q + f*v - 3 = -10. What is the derivative of -q*b - 4 - 3*b + 11 - 14 wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Let b be m(1). Let n = 18 - 13. Suppose 2 + 8 = n*q. Is q equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3269 + 3271. What is the nearest to -2\/7 in -1.5, n, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 37314797?\nAnswer: -11194439.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1034\/(-517) + 2\/1 + 53018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 - 10 = 0. Let r be w\/18 - 50\/(-12). Let g(h) = -2*h + 6. Calculate g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o - 4. Let a = 3 + -9. Let l be p(a). Let w(h) = 6*h**2 + 259*h - 187. Let z be w(-44). Calculate the highest common factor of z and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0342+-1.3\nAnswer: -1.2658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 159932161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -269786 - -1081169\/4. Factor n - 45\/2*x + 1\/4*x**2.\nAnswer: (x - 45)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -477, -714, -951, -1188?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 25 + (-5 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 184344 + 0.5\nAnswer: 184344.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*d - 132 = 0, -1315*k + 2*d = -1318*k + 340. Calculate the lowest common multiple of k and 203.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.468 and 0.4?\nAnswer: -0.1872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 2, 150.81, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqwqwqq. Give prob of sequence qww.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -11. Which is the nearest to -0.3? (a) 2 (b) u (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k - 5. What is t(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 b when four letters picked without replacement from {b: 4, o: 15}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 7. Calculate the least common multiple of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 16 = -16. Suppose -3*g + 2*a = -0*g - 5, x = 2*g + 4*a - 30. Solve 4*w = f, 0 + 11 = g*w - 4*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q + 59*q**2 - 20*q**2 - 20*q**2 - 14 - 20*q**2. Determine y(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-231)*3\/(-4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*j - 5*r, -2*j + 3*j - 16 = -5*r. Let f be j\/(-7) + -1 + (-396)\/(-84). Suppose -5*w = 15, 4*w - 8 = -0*x - f*x. Solve -x*g = -g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5697372 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 + -113. Let y(l) = -l + 10. Let q be y(d). Let m(n) = 34*n**2 - 4*n. Let f(s) = -7*s**2 + s. Give q*f(w) + 3*m(w).\nAnswer: 4*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*1*-5 + sqrt(99) + -5*2*sqrt(99))*-2)\/(-2*((-1*sqrt(576) + sqrt(576))*-5 + sqrt(576))).\nAnswer: -7*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + s. Let m(c) = -37*c**2 - 6*c + 4. Let d(q) = -6*k(q) - m(q). Let g(x) be the first derivative of -x**2\/2 + 1889. Calculate g(d(i)).\nAnswer: -43*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - 3094\/(-7))\/((-1)\/(-12)). Suppose -7*p + 3944 = -s. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11553 - -2515. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q + 5 = 0. Let x be (q\/(-3))\/((-2)\/6). Let c = -130.9 - -125.9. What is the biggest value in -2\/13, c, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 193835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -2, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19186 = 27*c + 1528. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*x + 4979 = 967*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 789*p - 9267768642 + 9267768642.\nAnswer: 789*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291*v + 20*v + 14*v)*(v**3 - 2*v**3 + 0*v**3).\nAnswer: -325*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 4*x**2 + 3*x. Suppose 4*n = 0, f = -3*n - 1 + 6. What is j(f)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1.17, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - u = -4, 4*l = 3*l + 5*u + 8. Let h be 6\/21 + l\/7. Suppose h*q + q = 11. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3.2. Let w = f + -0.2. Let m be ((-8)\/(-54))\/((-12)\/18). Which is the second smallest value? (a) w (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*k**3 + 8 + 45*k**3 - 3.\nAnswer: -145*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/15)\/(((a\/(a*a*(a\/(a*a**(-2\/11)*a))\/a))\/a)\/a))\/(a\/((a\/a**(-3))\/a))**(-12\/19) assuming a is positive.\nAnswer: a**(163\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5988.4 rounded to the nearest one hundred?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 8:00 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -737*k + 86353. Calculate u(117).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 35876778361+-1\nAnswer: 35876778360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n**2 + n + 1. Let t be v(-1). Let a = t - 9. Factor -2*l**3 - 2\/3*l**2 + 10\/3*l**4 - 4\/3*l**a + 0 + 2\/3*l.\nAnswer: -2*l*(l - 1)**3*(2*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 63283585 and 63283584 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h**2. Suppose -3*v = -0*v - 3*g - 3, 5*g + 12 = -2*v. Determine f(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(0 + 1)\/(1\/74). Let k = h + -162. What is k rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 5*a + 1 - a + (0*a + a + 2*a)*(16 - 31 - 6) to the form b + n*a and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 276*m.\nAnswer: -4*m*(m + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-38 - -37 - (121 + 1)) + 16?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11137 - 22275\/2. Which is bigger: 0.13003 or x?\nAnswer: 0.13003","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 13) in base 3?\nAnswer: -20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3151*z**2 - 6185*z**2 + 3040*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3882845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*b + 60461 = -8*b - 69*b + 68497 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/14*413\/118 + 7. Solve -9 = -3*n - w*s, 4*n - 2*s + 40 = 58 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12873\/99 + 7 - (-584)\/(-19272)\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {k: 2, b: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26739041 and -4.5.\nAnswer: -26739045.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -2*i**3\/3 - 9*i**2\/2 - 7*i. Let n(w) = w + 2. Calculate 4*g(s) + 18*n(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 7. Let v be m(-6). Suppose -3*b - 2*a - 3 = -26, -3*a + 12 = 0. Suppose -14*f + 19*f = 0. Solve b*h = -f*h - 3*c + v, -h = c - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-17))**(-29) assuming h is positive.\nAnswer: h**493","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.88 - -0.78. Let z = -3.9 + q. Let n = 1.8 + -2. Which is the biggest value? (a) 1 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3*s + 6*s)*(13 + 56 + 49)*(-2*s + s + 2*s).\nAnswer: 236*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42*(-18)\/756 + 52\/(-15) - (-4)\/(-12).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/5))**(-13\/2))**(1\/51) assuming p is positive.\nAnswer: p**(-26\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2200 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260*(-9)\/(-351)*(3 + (-144)\/15)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -819090 and -819090 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(5\/6))\/i*i*i**(-4))**18*((i**(-4)\/i)\/(i\/i**(-4)))**(-38) assuming i is positive.\nAnswer: i**311","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37143.013727 + 37143. What is c rounded to four decimal places?\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 * -4098\nAnswer: 1147.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4440)\/148*(1\/2)\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 6*l + 170. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63224 rounded to the nearest 1000?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.358 * 3.\nAnswer: 13.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - i**2 + 2*i - 2. What is v(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00298323422 rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*f**2 - 222*f**2 + 454*f**2)*(5 - 5 - 2*f)*(0 + f**2 + 0).\nAnswer: -164*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -16 - 4. Suppose a = -z + 5, -66 = -v*a + z - 21. Calculate the remainder when 18 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -179\/294?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*m + 3*u, 0 = -5*m - 4*u - 313 + 326. Suppose -144 = -2*s + s. What is the greatest common divisor of s and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13708549 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -51 + -7 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 4545*k + 9269029. Determine u(1298).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-399)\/36 - (-2 - 2). Let w = 22\/3 + f. Which is bigger: 4\/11 or w?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffaumaufuu. What is prob of sequence uuuf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31956808513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 5. Let h be q(5). Let i be 11\/(-77) - (-15)\/7. Suppose i*p + 14 = 12. Put h, 1, p in increasing order.\nAnswer: p, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2358 and 30474?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -64, -3, 24626 in decreasing order.\nAnswer: 24626, 5, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8185 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 7:57 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -25*v - 399. Let m be s(-16). Let w(i) = 16*i + 7. Let z be w(m). What is the highest common factor of 391 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/216*9 + 14\/3. Solve -x = -2*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1 * 4.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 539272?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -271*r + 18. Let z be j(-7). Suppose -5*n + z = 5*d, 5*n - 2*d = 3*d + 1915. What are the prime factors of n?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 7487 + 5061 - 20031 + 7483.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*w + 1672 = -63*w - 592 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0 - 3\/7*l**8 + 0*l**3 + 0*l**2 + 0*l**7 + 0*l**5 + 37\/12*l**4 + 66*l + 0*l**6. What is the third derivative of i(v) wrt v?\nAnswer: -2880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1385*b**2. Let u(m) = -3*m**2. Calculate u(h(g)).\nAnswer: -5754675*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f. Let j = 23 - -28. Suppose -14*i + 17*i = j. Let y(s) = -12 + 28 - 16 - i*s. Give a(y(k)).\nAnswer: -51*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 16*f - 531. What are the prime factors of f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25306969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.05 (b) -0.3 (c) 8 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (-2*sqrt(130))\/sqrt(10).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/8)\/(5 - 87\/18)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/204 and -55\/4016743.\nAnswer: 48200916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13199890 is divided by 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1130*x + 1543 = 1131*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96\/140 - (1 + 20\/(-28)). What is the closest to -1 in 11, 0.3, b, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, w: 2}. Give prob of sequence wjj.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/530?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12634414511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1088 - -0.8578. Let u = -1.168 + m. Let j = u + 0.119. Is 11 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1397, -6153, -10911, -15671?\nAnswer: -20433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 14*j - 35. Suppose -32 = -p + u, -5*u = -6 - 4. Suppose -p = -j*g - 24. Solve -8 = 4*y, c + 5*y = g*c - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 41 = -171. Suppose -972 = a*p + 2798. Let v = -3194\/11 - p. Is v > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-12) - (-4)\/16. Let m(q) = 5*q + 5. Let t(u) = 4. Let x(d) = d. Let g(a) = t(a) + 4*x(a). Determine c*g(k) - 2*m(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 5:46 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 6. Let n = -0.02 - -0.2. Let c = n + -0.18. What is the closest to c in 4\/3, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -126*q + 124*q - 8, -5*q - 15 = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -89*h + 95*h. Suppose -145 = -5*q - 50. Which is bigger: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 - 1105*a\/3 + 24911519\/6.\nAnswer: -(a - 4007)*(a + 6217)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-1 + 1 - 2*u**2) + 491 - 94*u**2 - 491.\nAnswer: -90*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskckskcckskcskkk. Give prob of picking 1 s and 1 k.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(68)*-2 - sqrt(68)*-1*6)\/(-6*(sqrt(256) + (-5*sqrt(256) - sqrt(256)) + sqrt(256))).\nAnswer: -sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -466*z - 9278. Calculate x(-20).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 8. Let p = r - -3.99. Let n be 6 - (6 - 3\/9). What is the second smallest value in -0.3, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548793 = 306*t - 523701 for t.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75975 and 60?\nAnswer: 303900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*x - 265*x + 4902 = 0 for x.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29692 - 0.09692. What is the biggest value in t, 4, 2\/59?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -445 - -520. Suppose -31*c - 220 = -n*c. Solve o - 2 = c*j, -o = -4*o + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 590 - 117 - 473 + 55*m.\nAnswer: 55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(4 + 21\/(-6)). Let f = 115 + -102. Suppose -85 = -f*i + 71. Solve 0 = -3*w + i - t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**3 + 0*i**4 - 3*i**4 + 0*i**3)*(-8 + 30 - 8) to the form m*i + q*i**3 + u*i**2 + f + o*i**4 and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 0*k**3 - k**3 + (-3*k + 4*k + k)*(2*k**2 - k**2 + k**2) + 16*k**3 - 4*k**3 - 85*k**3.\nAnswer: -71*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 15*j - 1. Calculate z(-10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 389018987 to the power of 1\/3, to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4279, 8550, 12807, 17044, 21255, 25434, 29575?\nAnswer: 33672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -20*y + 12*y. What is the greatest common factor of y and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(-27\/2) assuming n is positive.\nAnswer: n**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6437 - 6442. What is the fourth biggest value in -0.04, 0.4, -2\/11, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1786684*x + 156. Let a be g(-9). Round a to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:53 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -50, 0.1, 0.2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + w + 7 = -3*z + 4*z, 2215 - 2232 = 2*z + 3*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -187800 divided by -600?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13078*v**3 + 5957*v**3 + 13753*v**3 + 28425*v**3 - 6098*v**3.\nAnswer: 55115*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b = 8*b - 245 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.429 + -0.171. Let u = -34 - z. What is u rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 153332*d**3 - 4 + 152670*d**3 - 306064*d**3.\nAnswer: -62*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 3*n - 26. What is the remainder when l(6) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4487 + -70. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34775 + 34765 - 69540 + 68*q - 29*q - 30*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -1\/24*i**3 + 1\/8*i**4 + 57 + 1\/2*i - i**2. Find y such that a(y) = 0.\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose -4*i = -2*h + 36, w*h + i = 4*h - 20. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 46 = 2*b, 2*j = b + 77 - 88 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/15, 2573, 2\/5, 0.8, -0.3, -0.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*r**3 + 2 + 0 - 2 - 50*r**3 + 17*r**2.\nAnswer: 140*r**3 + 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2. Let h(n) = -47218269*n. What is h(r(c))?\nAnswer: -47218269*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + -4 - (-320)\/416?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 783 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - 57)\/(6*(-14)\/4).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**3 - 7*w**2 - 18*w + 24. Let g be j(1). Solve n + g*b = 8*b + 6, -2 = b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + -1 + -16 + 3 + 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1100) + -3)**2 - 5*sqrt(539)) + 1*(0 + ((-2*sqrt(110))\/sqrt(10))**2)*-5.\nAnswer: -95*sqrt(11) + 889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20481440377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvhlvlvhhhvvv.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b**2 + 0)*(102*b**3 - 51*b**3 - 323*b**3).\nAnswer: -272*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2303*j + 24. Let f = -6 - 1. Let q be (2\/7)\/(6\/f - -1). Let d be p(q). What is d rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 8:28 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19b79 (base 13) to base 16\nAnswer: c475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11775*w**2 - 2288*w. Let i(b) = 11776*b**2 + 2283*b. Let q(k) = 4*i(k) + 3*s(k). What is the second derivative of q(f) wrt f?\nAnswer: 23558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -86, -216, -418, -704, -1086?\n\"Answer: -2*n**3 - 18*n**2 - 2*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1146 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -168574800 to the nearest 1000000.\nAnswer: -169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166123128.\nAnswer: 2, 3, 89, 77773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q - 42*q = 5*p + 8, 57 = -q - 10*p - 19*p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-18))\/((-2)\/(-4)). Let t = 24.2 - 10. Let z = t - 14. What is the second biggest value in -0.2, q, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, 6, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 69*y - 2579. Determine m(37).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3977 (base 13) to base 15\nAnswer: 2675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20315246.193399985 + 20315659.815. Let x = s - 413.6546. Let i = x + 0.033. What is i rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/((-252)\/45)*48\/10*-1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8759.836ml to litres.\nAnswer: 8.759836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:32 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2187 and 67554?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2\/5 + 88128*z\/5 + 105768 = 0.\nAnswer: -6, 44070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 1\/3 (c) -0.3 (d) 2 (e) -1379\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 4*p**2 + 3*p - 2. Suppose 5*l - 24 + 4 = 0. What is the remainder when 17 is divided by w(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = q + 1988. Round q to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -15022*3\/22527. Let q = z + -11405\/7313766. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122573, -122572, -122571, -122570, -122569?\n\"Answer: v - 122574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 7*d - 63. Let s be b(6). Let a(u) be the third derivative of 7\/180*u**5 + 0 + 0*u - 12*u**2 - 1\/9*u**s - 5\/72*u**4. Solve a(p) = 0 for p.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*x + w, 4*x + 12 = -10*w + 12*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 10:48 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.934 - -22.73443. Let y = l + 1.2. What is y rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.446611 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5362 + 9955 = -162*a + 2091*a - 5902 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j + 90625 = 25*j + 673*j for j.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 3. Let x be a(4). Let k(z) = -2*z - 28. Let f be k(x). Suppose -2*o = 2*s - 3*s + 121, 0 = -5*s + f*o + 629. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 5, -4, -1903, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 49 = -5. Let r(x) = -8*x + 1. Let h(s) = 193*s + 15. Let u(c) = g*r(c) + h(c). What is the derivative of u(b) wrt b?\nAnswer: 225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 4*g**5\/15 - g**4\/3 - 8*g**3\/9 + 6. Determine z, given that f(z) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*r + 33 - 3, -3*r = 4*n - 23. Let h be (-34)\/n - 3\/(-12). Calculate the remainder when 1 is divided by 1\/(-4 + 1 - h).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25807*u = 25790*u. Let j be (4 - 7) + 1\/1. Sort j, -1, 15, u in increasing order.\nAnswer: j, -1, u, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*a + 85*a - 549 - 828 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11\/(33\/585)*4\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 104. Suppose -2*n + 4 = 0, 2*a + 1 = 3*n + t. Solve 2*b + 2 - a = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -7591250\nAnswer: -1\/3795625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((72\/(-8))\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23844*t**4 - 2*t**3 + 67121 wrt t?\nAnswer: -95376*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28500252 a multiple of 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19970733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (112*2\/6)\/(170\/2805). Calculate the highest common divisor of 168 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 899575933 by -2.\nAnswer: -899575933\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91506, 732298, 2471654, 5858856, 11443186, 19773926?\nAnswer: 31400358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(3) + -3*sqrt(3))**2 - (2 + sqrt(3) + 4)) + (sqrt(108) + sqrt(108) + 0 + 4)**2*-3 + -1.\nAnswer: -1338 - 285*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 5*f. Let y(i) = 2*i**2 - 5*i. Let s(w) = 3*x(w) - 4*y(w). Calculate s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7 (b) 2\/17 (c) -12\/13 (d) -1\/7 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43183*i**4 - 48405*i**2.\nAnswer: -1036392*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2068096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 7, -4.\nAnswer: -4, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3722516.7 rounded to the nearest 1000?\nAnswer: 3723000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/5))\/(d\/(d*(d\/((d\/d**6)\/d))\/d*d*d)))**13*((d*d**(-4))\/d*d**(4\/5)*d)**(-1\/5) assuming d is positive.\nAnswer: d**(2871\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1163*s + 1. Let y be d(-1). Let r = y + 8116\/7. Let v be 2*2*(-12)\/16. Which is bigger: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251870 divided by 50374\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 16*z + 1. Let f be t(1). Let i = f - 4. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 6, h: 2, q: 4, r: 4, a: 1}. What is prob of picking 1 k, 1 r, and 1 a?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 + -220. Let h = 106 + i. Suppose -8*m + 10 = -h. Calculate the smallest common multiple of 62 and m.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54138 and 22?\nAnswer: 595518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((18\/(-300)*-5)\/((-165)\/275)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 56.4. What is the third smallest value in 0.3, a, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Suppose 2*r - s*u - 29 - 10 = 0, 0 = r - 5*u - 30. What is the derivative of -y + 17 - 2*y - r wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + x - 2 + (x + x - 4*x)*(-4 + 4 - 2) - 4*x + 0*x + 2*x + 0*x + 2*x - 4*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 398?\nAnswer: 159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/(10\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 less than or equal to 553\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 8. Let g(b) be the second derivative of -3*b**4\/4 - 2*b - 246. Give g(m(l)).\nAnswer: -36*l**4 + 288*l**2 - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 83. Suppose 3*u = -5*p + 58, u - 23 - o = -5*p. Let a(s) = -2*s. Suppose 11*v - 24 = 5*v. Let g(b) = 6*b + 1. What is p*a(n) + v*g(n)?\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 886383759?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.17 and 4.\nAnswer: 8.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 702*x**2 + 3965*x**2 - 70.\nAnswer: 3263*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.1 + -11.5. Let r = y + -16. Let a = 8 - r. What is the third smallest value in a, -2\/11, 2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017043 to 6 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of (-4*5\/(-15))\/(4\/6558)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 426 + 371 - 375*s**2.\nAnswer: -375*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*(-4 + -2). Suppose 0 = p*h + h - 280. Suppose -3*k - k - m = -31, h = 5*k - 5*m. What is the smallest common multiple of 6 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*v**2 + 2*v**3 + 73*v + 75*v - 27*v - v**3 in the form z*v**3 + i + l*v + d*v**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 33. Suppose t*u + 11 = 31. Suppose 0*y = -y - u*a + 127, 2*a = y - 139. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78855294 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 786161 and 754.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 827315 + 5?\nAnswer: 82731a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d**3 + 7*d**2 + 7*d - 2. Let p(b) = 2*b**3 - b**2 - b + 1. Let u(k) = -m(k) - 5*p(k). What is u(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289560 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*y - 3*u, 5*y + 4*u = -62 + 119 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 11 + 1384*g + 21.\nAnswer: 1384*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 4*m**2 + 5. Let d be l(4). Solve -h = 2*q + 1, -2*q + 1 = d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 6*g**2 + g + 1. Let m be -1 - 10*(-1)\/(-2). Let o be d(m). Suppose 0 = 4*v + 5*b - 7, -b = b + 2. Sort v, 5, o in descending order.\nAnswer: 5, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0525 + 0.04\nAnswer: 0.0925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*g - 17. Let k be (-62)\/(-4)*(3 - 1). What is the remainder when -2 + k\/1 + 3 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 331596 and 38656.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-15) - (-4)\/6. Let g = -48 - -37.8. Let x = g + 10. Sort 1, x, y in decreasing order.\nAnswer: 1, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101000010101001010011 (base 2) in base 14?\nAnswer: 140a991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 not equal to 88204\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 + 25*j**2 - 312*j - 162. Give v(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(84\/35)*23\/(-920)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 1)*(-24)\/32. Let h = 6 - t. Suppose -h*g - 477 = -3*u, 2*u - 491 = -u - 4*g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**4 - 4*l**3 + 0*l**4 + 3*l**2 - 4*l**4 - l**2 - 2*l to the form g*l**3 + y*l**4 + t + c*l**2 + d*l and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4 - 20. Solve -2*a - q = -2*h, h + 2 = 3*a - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.148652722 to 5 dps.\nAnswer: -0.14865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u**2. Let w(z) = z + 42. What is w(p(i))?\nAnswer: -8*i**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36474847 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 7*w**2 + 9*w + 8. Let p be m(-8). Suppose -b - 8 + 27 = p. What is the highest common factor of b and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 71\/4 of a gram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9459*a + 472 = -9695*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7938.061 rounded to the nearest 100?\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 652708 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 3*u**2 + 5*u + 2. Let w(k) = -k**3 - 8*k**2 - 9*k - 10. Let p be w(-7). Let z be a(p). Calculate the highest common factor of z and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4164 is divided by 88.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 36, 0, -159, -2 in descending order.\nAnswer: 36, 0, -2, -95, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 113, 326, 541, 758?\n\"Answer: j**2 + 210*j - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9475 is divided by 70?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.95 - -0.05. Let v = l + 3. Suppose 0*m - 8 = 4*m. What is the nearest to 0.1 in 4, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*-4 + (-6*sqrt(147))**2 + (5 + -6*sqrt(12)\/sqrt(4))*-4.\nAnswer: -12*sqrt(3) + 5272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.1 (b) 5 (c) 2 (d) -1372 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 837*o - 842*o + 21, 2*u + 17 = 3*o - 2 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:32 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 112094 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-1*sqrt(2))*5 + 3 + 3 + sqrt(192).\nAnswer: 3*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + 5 + 59 - 3*d in the form m*d + y and give y.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -39*m + 43. Let h(w) = 7*w - 7. Calculate -a(j) - 4*h(j).\nAnswer: 11*j - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = 2*u - 6, 4*u - 34 = 2*w. Which is greater: 21 or u?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -32687*b + 228429. Determine t(7).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11344 + -4923. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 14*m**2 + 193*m - 964. What is z(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 - 64 + 4*j**2 - 13*j + 13*j - 2*j**2 = 0. Calculate j.\nAnswer: -8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 3)*(4 - 1 - 2) + 18 + 6 - 5)*(4*g**2 + 0*g**2 - 3*g**2).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + (-20 - -15) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -98*f - 5874. Let n be q(-60). Suppose 5*v + 8*t = 3*t + 35, 2*t = 0. Let k = v - 4. Solve k*b = n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (0 - -1) + -1. Suppose c = -5*s - 15, y = -2*y + 4*s - 3018. Round y to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -3*p**5\/10 - p**4\/12 + p**3\/6 + p**2\/2 + 7*p. Let v be h(-1). Solve 0 = 2*t - 5*t - v*y - 13, 0 = 3*y + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5671 - 3711030?\nAnswer: -3705359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9148.99969674 - -9149. What is w rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -6*h - 12. Let q(w) = -3*w - 1. Let o be q(-3). Let l = 14 - o. Solve 5*p + h = l*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 247 + -253. Does 18 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106686230 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 2. Let w be a(0). Let p = w - -3. Put -5, p, 4 in descending order.\nAnswer: 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 6195948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 x when four letters picked without replacement from hoooxaaxooxoaxxxhoo.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**2*m**3 + 7*i**2*m**2 - i**2*m + 5*i + 77885*m**3 - 142*m - 7 wrt m.\nAnswer: 42*i**2 + 467310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116403885 to the power of 1\/2, to the nearest integer?\nAnswer: 10789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -7. Suppose -3*g - 7*x + 16 = -b*x, -x = -4*g + 6. Solve -5*h + 41 = -4*s, -32 = -g*h - 2*h + 3*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 469*m + 468.\nAnswer: (m + 1)*(m + 468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 5)*(1 - 1 - k) + (-2*k + k + 0*k)*(3 - 1 + 0) - 2*k + 0*k + k + 0*k + 0*k - k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147*z + 147*z + 11*z**2)*(-12*z + 45*z - 24*z) + (z**2 - 4*z**2 + 2*z**2 + (-6*z + 2*z + 2*z)*(-z + z + z) + z**2 + z**2 - 4*z**2)*(2 - 2 + z).\nAnswer: 94*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*n = -0*w + 1, -19 = -4*w + n. Differentiate -4*s**4 + 46 - 77 + 2*s**w wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -34 - 10*t**2 + 7*t - 3*t**3 - 9*t - 33*t**2 + 2*t**3 - 47. Let j be m(-43). Solve 3*z - 28 + 1 = -3*p, 29 = j*p + z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1042817.7 months?\nAnswer: 8690.1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1648, 1, 433, 21 in increasing order.\nAnswer: -1648, 1, 21, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 - -3. Let m = -68353\/60744 - -2\/7593. What is the closest to -1 in m, s, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**6\/120 + h**5\/30 - h**4\/8 + 2*h**3\/3 - 5*h**2. What is j(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 41 - (1 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 6*o**2 - 5*o + 4. Let l be t(-4). Let d = 12 - 22. Let s = l - d. Solve -z - 5*g - 6 = 0, g - s = 2*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvv when three letters picked without replacement from vvrvrrvvvvvvrrrrrrrv.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -434 and 0.15?\nAnswer: 434.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = 0, -2*i = 5*w + 3*i - 285. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/414 and -149\/22632?\nAnswer: 67896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4 + 6066*h**3 + 18186*h**2 + 18182*h + 6060 = 0.\nAnswer: -3030, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -776554.37935 take away -25.1?\nAnswer: -776529.27935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 3*v + 3*v)*(-2 - 6*v + 6*v - 6*v) to the form m + q*v**2 + s*v and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f - 71. Let l be o(-18). Which is smaller: -4\/245 or l?\nAnswer: -4\/245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20573 - -575983\/28. Calculate the common denominator of -181\/60 and s.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sze when three letters picked without replacement from zesizzr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**19)**(3\/5)\/(l\/(l*l**(-22)*l*l)*l**(-1)) assuming l is positive.\nAnswer: l**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 465*m + 1820. Calculate y(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 11*z + 11. Let v(j) = -1. Let f(c) = -k(c) - 3*v(c). Let i be f(12). Suppose 0 = -i*o - o - 3*r + 212, o + 3*r = 52. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 2. Let i(b) = 20*b - 219. Let u be i(11). What is k(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.919 - 0.081. Let l = -2 - -3. Which is bigger: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 91, 183, 329, 547, 855, 1271?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + v = -0*v - 83, 95 = 5*a - 5*v. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 3*y - 16. Let v be k(7). Find the common denominator of 119\/18 and ((-2)\/v)\/(3 + 276\/(-94)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-24)*o*o**(-4)*o*o)**(-19) assuming o is positive.\nAnswer: o**475","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146116276 divided by 12842.\nAnswer: -11378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 366*b**2 - 1096*b - 4772. Determine n(369).\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 0*q**3 - q**4 + (2*q**3 + q**3 - 2*q**3)*(3*q - q - q) + 0*q**4 - q**4 - q**4 + (6*q**4 - 6*q + 6*q)*(-4 + 0 + 3).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from fddd.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.49 + 3.51. Let g = d + -4.66. Let m = -0.660092 - g. Round m to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:21 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 101240715*v + 10249682373711225\/2.\nAnswer: (v + 101240715)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 984 and 16?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -5, -3, 0.2, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144127 is divided by 1121?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 - 5*n + 4. What is x(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 230*i - 123. Let c be g(5). Let r = -1023 + c. Factor -4\/7*o**3 + 2\/7*o**5 + 2\/7*o + 2\/7 + 2\/7*o**r - 4\/7*o**2.\nAnswer: 2*(o - 1)**2*(o + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**3 + 5*u + 5. Let l be (-2)\/2*1*-5. Let p be (351 - 360) + -1 + 6. Let j(w) = 6*w**3 + 6*w + 4. Determine l*j(v) + p*i(v).\nAnswer: 2*v**3 + 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 483, 2, -2.2 in decreasing order.\nAnswer: 483, 2, -1, -2, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + o**2 + 2*o - 3. Let r(v) be the second derivative of -v**5\/20 + v**4\/12 + v**3\/6 - v**2 - 130*v + 1. Determine 3*r(t) - 2*z(t).\nAnswer: t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019*p - 5128 = 683*p + 1928 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 286 - 286.491. Let x = -0.009 + g. What is the nearest to -1 in -2, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -263\/5 - -50. Let g = q + 11\/5. What is the smallest value in -1\/2, 0.3, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.36 - 19.7. Let c = 338113\/26 + -13002. Let k = c - 24\/13. Which is bigger: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u + 8*u**2 - u + 1 + 21*u**4 - 1 + 24*u**3. Let p(a) = -43*a**4 - 48*a**3 - 16*a**2 - 7*a. Let g(o) = 7*l(o) + 3*p(o). Let g(t) = 0. Calculate t.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 61 - (2 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 992.\nAnswer: 198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*c - 208737*i - 23 = -208743*i, -4*i + 15 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 15) to base 6\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 838811.9ml in litres?\nAnswer: 838.8119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w = 16*w. Let i(l) be the second derivative of 0*l**2 - 5\/14*l**5 + 10\/21*l**4 + 3*l + w - 4\/21*l**3. Factor i(z).\nAnswer: -2*z*(5*z - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 + 1427912*j\/9 - 254866584968\/9.\nAnswer: -2*(j - 356978)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxfyfyxxfxyxfxxxy. What is prob of picking 2 y and 2 f?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.41 - -5.57. Let o = b + -0.58. Round o to zero dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wss when three letters picked without replacement from wswwsswwssswswwwwsss.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 - 2.28. Let v = s - 0.62. Put -0.3, v, -1\/3 in descending order.\nAnswer: -0.3, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - a + (-6 + 8*a + 6)*(0 + 2 - 6) in the form x + u*a and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233988 + 223417 = 65*v. Suppose 0 = -5*k - c + v, 3*k - 2*c - 2*c - 4213 = 0. What are the prime factors of k?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 90. Let t be (24\/9 - -1)\/(g\/54). Sort t, -3, 1, 3.\nAnswer: -3, 1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39331614677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 115*h**9\/504 + h**7\/105 - 671*h**5\/60 + 283*h**2. What is the third derivative of p(g) wrt g?\nAnswer: 13800*g**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*l + l + h, -5*h + 15 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -525430\/273 + -289\/78. Let v = -1933 - r. What is the common denominator of -59\/4 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1024160, 4096671, 9217532, 16386743, 25604304, 36870215?\n\"Answer: 1024175*a**2 - 14*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 3*c. Let p be (-3)\/(-2) - 5\/(-10). Let b be h(p). What is the common denominator of (-83)\/(-33) - b\/(-3) and 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r**2 - 3*r + 1. Let p be ((-2)\/5)\/(1\/(-5)). Does 11 divide k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.4 + 10. Suppose s = -4*s - 4*y - 78, s = -3*y - 9. Let r be (-6)\/2 - 42\/s. Which is the biggest value? (a) r (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -4*n**3\/3 + 64. Let w(m) = 4*m**2. What is j(w(z))?\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46674 + 66625. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638738426?\nAnswer: 2, 3, 13, 17, 617, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 11.25, -2\/5, 23, -2\/11, -1\/12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 75 + (-3 - -17) + -8 + -14 + 6.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + v)*(10*v + 11*v - v).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y - 147, 23197*g = 23196*g + 5*y - 103 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 12*b + 14. Let p be j(13). Suppose 25 - p = 3*n. Solve 4*x - 2*x - n = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 7*h + 3. Suppose -3*i = h*t - 2*i - 614, 2*t - 4*i = 386. List the prime factors of t.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkx when three letters picked without replacement from kkxxkkkxkkkkkkxxkk.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(8 + -7))\/(1\/(-10)). Solve -4*k + 0*k + g = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115628?\nAnswer: 2, 137, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-17)\/((-5865)\/253)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q - q)*(-3 - 2 + 1 + (3 - 3 - 1)*(2 - 1 + 1)) + 35*q + 23 + 11*q - 24.\nAnswer: 52*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 667*q. Let r(f) = -841*f + 606*f + 236*f. Calculate r(d(h)).\nAnswer: 667*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2824*h**3*v**2*y**3 + 4733*h**3*v**2*y - 13*h**3*y**2 - 77*h**2*v - 119*v*y**3 - 2*v*y wrt v?\nAnswer: 5648*h**3*y**3 + 9466*h**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1250 - 1248. Let w = 11 - 31\/3. What is the closest to w in -0.5, o, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118059, 118121, 118265, 118533, 118967, 119609, 120501?\nAnswer: 121685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5501\/65550 + 6\/2185. Let r = 2\/25 + g. What is the common denominator of r and 37\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.53?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/31692 and -97\/67602.\nAnswer: 18793356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -10. Let s be (31 - (-1692)\/(-54))\/((-2)\/(-4)). Which is the nearest to -6.3? (a) s (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2121365*u**3*z + 141852610*u**3 + 55*u**2*z wrt z.\nAnswer: -2121365*u**3 + 55*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (18 - 3 - -12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) 0.03 (c) -2\/13 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let k(i) = i**2 + i - 1. Let l(s) = 2*s**2 + 3*s - 3. Let c(p) = 3*k(p) - l(p). Give q(c(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iimh when four letters picked without replacement from {h: 1, i: 3, t: 1, m: 7}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-202)\/(-1) + (-2 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 18714.\nAnswer: 7485.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*4 + 4\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.15 - 12.65. Let r = w + 14. Suppose m + n = 22, -5*m - 2*n + 197 = 84. Which is the closest to 0? (a) r (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/7 - 80*d**3\/21 - 6*d**2 - 233. Factor g(u).\nAnswer: 4*u*(u - 21)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7259 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4\/5 - 2748*u**3\/5 - 629292*u**2\/5.\nAnswer: -3*u**2*(u + 458)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 3, -4, -1, -1095 in decreasing order.\nAnswer: 33, 3, -1, -4, -1095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -63, -220, -521, -1014, -1747, -2768?\nAnswer: -4125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(6\/(-15))\/((-2)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 u, and 1 a when three letters picked without replacement from guamg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.35 - 0.4196. Round k to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 3*l + 6*l to o + t*l and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**4\/4 - 1059*h**3\/2 + 83251*h**2\/4 - 224394*h + 598780 = 0.\nAnswer: -2303\/5, 4, 13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/90 - 6\/(-9). Let f = 8\/5 - k. Suppose -n + 6*n = 15. Which is the biggest value? (a) f (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 11 - 5 = 0. Suppose 0*g = s*g - 492. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 127*h + 6283. Let z be r(-49). Solve z*y = 10*y + 400 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 946 and 4902?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1573) + ((-2*sqrt(39))\/sqrt(3) - sqrt(13)).\nAnswer: -25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 175*u**2 + u. Let m be h(-1). Suppose -5*o = m - 739. What is the remainder when o is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:14 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/2 + 993*r + 9980 = 0.\nAnswer: -10, 1996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/2 - 280664905*s + 78772788898659025\/2 = 0. What is s?\nAnswer: 280664905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 31*z**2 + 108*z + 1. Determine j(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v. Let h(f) be the third derivative of 0*f + 13*f**3 + 0 - 1\/8*f**4 - 106*f**2. Give m(h(z)).\nAnswer: -6*z + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 96*j**2 + 10*j - 10. Give l(1).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 53. What is the remainder when 57 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 192312?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 22. Suppose -b = -3*x + j, -3*x + 18 = -5*b - 13. Let i be (-2)\/14 - (4\/(-7))\/4. Solve -y + 2*l + 3*l = i, 0 = x*y - 3*l - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**6\/360 + p**5\/120 - 5*p**4\/24 + p**3\/3 - 1. Let b(w) be the third derivative of l(w). What is the units digit of b(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-20)*o)**(10\/3) assuming o is positive.\nAnswer: o**(-170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29533*d - 23*d**2 + 3 - 29533*d to the form q + c*d**2 + b*d and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -534?\nAnswer: -534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*((-87)\/58)\/(54\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8580642.\nAnswer: 2, 3, 7, 204301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tomoxtxi. What is prob of picking 1 m, 1 t, and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300.0273 centuries to months.\nAnswer: 360032.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 58 = l + 4*l - 25 - 21, -m + 43 = 2*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 5*a. Suppose s - 25 = -a*p - 3*p, 4*p + s = 20. What is the second smallest value in p, 0.5, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4 - 1691*t**3 + 10219*t**2 + 62819*t + 50910 = 0.\nAnswer: -1697, -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {a: 2, g: 6, q: 2, l: 3, z: 1, t: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4 + 3 - 3 + t. Let d be r(-3). List the prime factors of (d*-1)\/(6\/(-102)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 82, 157, 232, 307, 382, 457?\n\"Answer: 75*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48242345 and 39865?\nAnswer: 5695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**2 - 204*c + 1888 = 0.\nAnswer: -59, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/(-224) - 27\/(-63). Which is greater: -516 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:30 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1283, -6355, -15213, -27857, -44287?\n\"Answer: -1893*z**2 + 607*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylv when three letters picked without replacement from {j: 1, l: 1, y: 1, f: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4628?\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80\/(-6)*(-6)\/5. Let w be x\/(-56) - (-4)\/63. Which is the third biggest value? (a) -5 (b) -2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44796.\nAnswer: 2, 3, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 5, j: 2, t: 2, m: 2, r: 2}. Give prob of sequence jmr.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6.528*-1\nAnswer: 6.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.532 take away 92749.141209?\nAnswer: -92748.609209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljqqqjoqq. Give prob of picking 1 j and 1 o.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by 19900?\nAnswer: -9\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 11 - 1. Is 3 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6407857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 221*a - 1204. Calculate u(6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 57279.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -1.4 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-3)*(-1773)\/(-2364). Let x be (6\/(-8))\/((-2)\/(-8)). Sort 2, -4, l, x in decreasing order.\nAnswer: l, 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*u - 23 - 9 = 0, 41 = 5*h + 3*u. Suppose 5*k - 22 = y, -4*k + h + 17 = -4*y. Let g be ((-6)\/4)\/(1\/y). Solve 2*i - i = g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3 - 2*l + l + (16 - 13 + 15)*(4 - 4 + 2*l).\nAnswer: 35*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 904242 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - d)*(-9 + 1 + 4*d + 12).\nAnswer: -4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 1:33 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7043290115805*f**2 - 23737380*f + 20.\nAnswer: 5*(1186869*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12347.24 milligrams in tonnes?\nAnswer: 0.00001234724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4\/293, -0.4, 2, -309?\nAnswer: -4\/293","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*12\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 339738 divided by 56623\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 2. Suppose 8*h = 10*h + 16. Let n(t) = 6*t - 5. Calculate h*d(l) - 3*n(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 3. Suppose -1 = -z - 2*v, 3 = 3*z + 3*v - 0*v. Let u(q) = q - 1. Give z*i(r) + 4*u(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 896 + 952 = 0. What is the closest to -1 in -1\/7, l, 4, -0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*t = -121*t + v + 330868, -2*t + 132376 = -4*v. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/2)\/(g*g\/((g*(g\/(g*g**(-5\/7)\/g))\/g*g)\/g)))\/(g\/(g\/g**(-1\/5)))**(-1\/57) assuming g is positive.\nAnswer: g**(-7139\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*126.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 3*b - 20. Suppose 5*d = 25, b*d - 38 = -u + 4*u. Is 0 - -56 - (-3 - u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 11*m**2 + 10*m + 4. Let x be c(-10). Suppose -2*o - 8 = -x*r, -5*o = -6*r + r. Solve -2 = -2*u + r*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11233 + 10221?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrrelhehwrve. Give prob of picking 2 v, 1 w, and 1 h.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -447096.984 and 0.095.\nAnswer: -447096.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 6)*((-4*a + 0*a + 3*a)*(-1 - 5 + 4) + 15955 - 15955 - 300*a).\nAnswer: 298*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.164? (a) -4 (b) -12 (c) -2.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -4a6a8c?\nAnswer: -4a6a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.418*3.\nAnswer: 1.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/280*15\/(-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -807.17 times 29.06?\nAnswer: -23456.3602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161\/5 - 313\/10. Let u be -4 + -1*6*(-224)\/42. What is the common denominator of (-89 + u)\/(1*-2) and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-3)\/(-30)*4)\/((-8)\/(-40)) and 17?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 divided by -8?\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 757702 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821833?\nAnswer: 13, 353, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573960 - 726268 = -30*l - 4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 - 132. Factor -23*g**2 + 52*g + 9*g**2 + 10*g**2 + b.\nAnswer: -4*(g - 14)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 15 = -4*j. Does 12 divide (-48)\/(-10)*(-15)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5253000 rounded to the nearest 100000?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**2 - 753*c - 68586 = 0.\nAnswer: -71, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*o = 3*y - 893, 0 = -5*o - 20. Suppose 5*t - 443 = y. Calculate the greatest common divisor of 31 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11095\/6 + 1838. Find the common denominator of 53\/32 and q.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:27 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15900*h**4 - 9122*h**2 - 170923919.\nAnswer: 63600*h**3 - 18244*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o - 7*o = 60*o + 20*o + 330 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 2. Let i(g) = -2*g - 3. Suppose 6 = -48*u + 47*u. Give u*d(k) + 4*i(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 + 191597755*p**2 - 1835484890253120*p - 1835485081850880 = 0. What is p?\nAnswer: -1, 19159776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11404\/7, -0.7 in decreasing order.\nAnswer: 11404\/7, 4, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10)*10\/4*-3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 * 0.08\nAnswer: -0.0296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 95.\nAnswer: -3\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -20*j**2 - j + 4. Let f(o) be the first derivative of -23*o**3\/3 - o**2\/2 + 5*o + 15. Let v(l) = -5*f(l) + 6*p(l). Determine v(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*r + 15429, 8*w = 11*w - 2*r - 15435. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70183014 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.43 - 0.57. Let c = -57 - z. Let h = 15.9978 + c. Round h to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 147*z**2. Let x(o) = 4*o. Calculate d(x(h)).\nAnswer: 2352*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 48*m - 235. Is o(57) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 - 56 - 14*k**2 + 0*k**2 + 53 - 83.\nAnswer: -k**2 - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 39 = -4*c + 73, 0 = -4*c + 5*d + 148. Let k be 1466\/(-8) - (-8)\/c. Round k to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x + 12. Suppose 0 = -3*d + z + 4, 4*d + z + z - x = 0. Let o(k) = -k - 7 + 4 - 3*k - k**d. Calculate o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 46 = 2*r. Suppose -50*t + 4488 = 18*t. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, f: 12, w: 1}. What is prob of sequence ff?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182 - 65. Let h be z\/(-12)*48\/(-9). Suppose 3*q - h = q. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -618*i - 852. Is a(-6) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -1\/6*z**6 - z - 1\/3*z**4 - 13\/30*z**5 + 0*z**2 + 1\/2*z**3 + 0. Let p(y) be the second derivative of c(y). Factor p(n).\nAnswer: -4*(3*n + 2)*(5*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/6)\/((-2)\/(-4)). Suppose 3*u + 4 = -0*u + 2*v, -j = u + 3*v. Let g be (-1 - (-10 + u)) + -4. Let s(k) = -k**2 + 6*k + 8. What is s(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4137*-0.17\nAnswer: -0.240329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*h + 113*h + f - 3 = 0, 5*f = 4*h + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 165687397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -559, 4 in descending order.\nAnswer: 66, 4, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfrfffrfffrffmmfffft. Give prob of picking 3 m and 1 r.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16795 - -16795.24. Let n = 2 - -1. Sort n, 0, b in decreasing order.\nAnswer: n, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**3\/3 + 1096*m. Let p(o) = 3*o**2 - 13*o. Give t(p(j)).\nAnswer: 6*j**2 - 26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 1\/2*z**3 + 0 - z - 3\/2*z**2 + 1\/4*z**4. Is o(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2 + 3305*y - 33550 = 0.\nAnswer: -671, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 163, -0.1, -4\/7, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12782215 is divided by 49736?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2689 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -j - 805, -5*x + 4019 = -5*j + 3*j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28\/9 + 4\/3*h**2 + 2\/9*h**3 - 2*h.\nAnswer: 2*(h - 2)*(h + 1)*(h + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -245 - -257. Let i be (8\/(-48))\/((-2)\/u)*-7. Suppose -1 - 1 = 2*w. Sort 4, w, -4, i in descending order.\nAnswer: 4, w, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r - 1. Let n(b) = -6*b - 2. Let d be n(1). Let m be q(d). Suppose -5*v + 161 + m = 0. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-1)\/(-4)) + (-10 - -12). Is 0 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174 divided by -65?\nAnswer: -3174\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (12\/26)\/3 - (-539)\/364 and (-4)\/24 - 43\/(-8)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*5*780\/(-38350).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13*v**2 - 130*v - 2. Suppose 4*d - 31*d = -35*d - 80. Calculate t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 47*k - 72. What is the tens digit of t(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-14 + (2 - -8) + -3 + -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -81*m + 83. What is i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 16 = -4*n, 4*n + 3*o = 5*o + 8. Suppose r = -n*p + 13, p - 10 = 3*r + 11. Solve -4 - 2 = -p*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 9*l**2 - 7*l - 7. Let h be r(8). Suppose -h - 3 = -2*b. Let t = b + 0. Solve -5*w = -5*i - 25, 0 = 4*i + t*w + 14 - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 72 = -12. What is the third smallest value in -3, l, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -182 at most -182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*h + 7 = 0, -5*q - 5*h + 50 = -5. Let w = 11 - q. Suppose -b + w*b = -10. Which is bigger: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.694 times -3.4\nAnswer: -2.3596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1*-3)\/((-39483)\/(-3951) - 10) is divided by 113?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 4*h - 6*h - 1)*(-2*h**2 - 6*h**2 - 2*h**2).\nAnswer: -50*h**3 + 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5446*g + 5441*g = -3*a, -3*g = -2*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -14*g. Let r(m) = 5*m. Let f(c) = -6*a(c) - 17*r(c). Let h(b) = -19*b. Calculate h(f(o)).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000921948949 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 4*d - f, -5*f = -5*d. Solve d = -8*u + 5*u + 2*q - 3, 3*u + 12 = -q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 136?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/(-8)*(-11 + 10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22022 divided by 1001?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*q - 266 = 1630 + 183 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 259119 minus 31633212?\nAnswer: -31374093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -2 + -6 - (1 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(0 + 5 + (-153)\/34). Let s(p) be the first derivative of -5 + x*p + 0*p**2 - 11\/4*p**4 + 4\/3*p**3. Find the third derivative of s(z) wrt z.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11417 and 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -7*b + 3*b. Let j = 98 - 93. What is the closest to -2\/7 in b, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14848 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-12)\/(-6) + -33 - (110\/(-10) - -15)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1142 and 69\/63952.\nAnswer: 63952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-119)\/(-7854)*-11)\/((-2)\/(-2088)*-2)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -37*i**2 - 80*i + 8. Let b(t) = 13*t**2 + 28*t - 3. Determine -24*b(o) - 9*l(o).\nAnswer: 21*o**2 + 48*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2547*a + 356. What are the prime factors of d(3)?\nAnswer: 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2300562 and 1782.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1788 (b) 3\/7 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by 312.\nAnswer: -45\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Suppose -4*l + 5*m - 24 = m, 0 = -3*l - x*m - 28. Let d = -7 - l. Solve o + d = j, 3*o - 13 = -4*j + 3*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcoccpcsqc. What is prob of sequence scc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000836368 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 137*q**2 + 2 + 141*q**2)*(-46*q - 13*q - q + (1 + 2 - 2)*(1 - q - 1) + 0*q + 0*q + 2*q) to the form j + b*q**3 + f*q + h*q**2 and give b.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 + 2*x - 5. Let t(f) = -2*f**2 - f + 3. Let n be 6\/((-10)\/(-75)*5). Let r(m) = -4*m + 40. Let u be r(n). Give u*b(y) + 7*t(y).\nAnswer: 2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.39, -2\/11, -0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let h(l) = 5*l + 2. Let f(t) = 3*t + 1. Let k(a) = 8*f(a) - 5*h(a). Give -k(w) - 3*x(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8085 and 727650?\nAnswer: 727650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*m + 310*m - 60*m + 29 - 74*m - 61*m - 58*m.\nAnswer: -2*m + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 1143, 1780, 2417?\nAnswer: 3054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/26 + (-4)\/39*1789725\/(-4900)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6496327 - -0.22.\nAnswer: 6496327.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.41 - 3.41. Which is the nearest to -1? (a) -4 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 286980570*b**4 + 318817398*b wrt b?\nAnswer: 3443766840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43422190, -86844374, -130266558, -173688742?\n\"Answer: -43422184*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362900?\nAnswer: 2, 5, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 6*l + 2*l)*(-17*l - 6 + 6)*(2*l - 2*l - l).\nAnswer: -34*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -q + 5. Suppose 0 = 2*g - 3*r - 2*r - 3, 0 = 5*r - 15. Is 10 a factor of q\/2*(45 + g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 7. Let i be j(0). Find the second derivative of -h - i*h + 10*h**3 - 3*h**3 wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2067842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((2 - (0 - 3)) + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**36*(p*p\/(p*p**(-6\/5)))\/(p*p\/(p*(p**2*p)\/p*p)*p) assuming p is positive.\nAnswer: p**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 147*b + 43)*(0*b**3 + 0 + b**3 + 2).\nAnswer: -147*b**4 - 294*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {f: 3, n: 4, d: 1, r: 3, k: 3, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)\/(f\/(f\/(f**(2\/3)\/f))) assuming f is positive.\nAnswer: f**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w. Let n(o) = 11*o - 1. Let q(x) = -3*n(x) + 7*y(x). What is q(-8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -7946398.\nAnswer: -5\/7946398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -170?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 11:15 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 12*s**2 + 24*s + 35. Let l be h(4). Solve 218 - 224 = -l*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15184 - -15207. Calculate the remainder when 457 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.09 (b) 0.4 (c) 1\/3 (d) -0.6 (e) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 15 = 4*c. Let t = 4.7 + 17.3. Let v = -24 + t. What is the second biggest value in c, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4061*u**2 - 6471*u**2 + 3.\nAnswer: -2410*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-6)\/9)\/((-18)\/1269)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10*b + 4*b**2 - 41 - 6*b + 7*b. Let w be z(19). Suppose 1241 = 2*r + 5*y, -2*r + 0*y + w = 2*y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Suppose 2*b - 44 = -i*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 127, 307, 565, 901?\nAnswer: 1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqfrzll. Give prob of picking 1 l, 1 j, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10232, 10145, 10034, 9887, 9692, 9437?\nAnswer: 9110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2. Let r(f) = f + 3. Let o(j) = -3*j - 7. Let i(t) = 3*o(t) + 7*r(t). Calculate i(c(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4606332.312 plus -4?\nAnswer: -4606336.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-5 - (-3 + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2*x = 0. Suppose 0 = 3*z - 3, 2 = g - 3*z - x. Let b = g + -1. Solve j - o - 12 = -3*j, 5*j = 4*o + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {z: 1, k: 2, n: 3, v: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - 300\/99 - -1 and -101\/8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 312, 505, 698, 891, 1084?\n\"Answer: 193*k + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 + (-3 - 1) + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from gnxnnnonv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1967484*h + 1967483*h - 5*c = 22, -202 = h + 50*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 6609.\nAnswer: -72699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131912, 131914, 131916, 131918, 131920, 131922?\nAnswer: 131924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 14 - (-165)\/21.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287673 divided by 435.\nAnswer: 95891\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -20 (b) 3 (c) 2\/3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18480 - -387836\/21. Let f = -34\/3 - n. Let l = -4\/29 + 78\/145. Which is the closest to -1\/4? (a) f (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*t + 1 - 102*t - 1 as s*t + k and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -z. What is the derivative of -4 - s**3 + 3 + z*s**3 - 2 wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27119.1 to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdufrurddnrr. What is prob of picking 1 n and 1 r?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 116328 (base 9) to base 10\nAnswer: 70253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-110)*(-29799)\/10836\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15)\/((-68)\/(-340)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -5*n**8\/1344 - n**7\/140 + 7*n**6\/240 + 7*n**5\/60 + 5*n**4\/32 + n**3\/12 + 11*n**2 + 2*n. What is y in k(y) = 0?\nAnswer: -1, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - 2*i**2 + 4*i**2 - 3*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m - 192. What is z(-5)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 1, k: 3, c: 1, j: 8, f: 2}. Give prob of picking 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76287 bigger than 76276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a - 252 = -42 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/10 - (-1)\/5. Suppose 15 = 5*z - 3*s, -2*z + z - s - 5 = m. Let b(v) = -v. What is b(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.5, -0.2, -5 in descending order.\nAnswer: 4.5, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 121*v**6\/600 - 11*v**5\/60 - 19*v**4\/40 - 3*v**3\/10 - v**2 - 32. Factor o(p).\nAnswer: (p - 1)*(11*p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -87, -50, -25, -12, -11?\n\"Answer: -6*k**2 + 55*k - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 702*i - 700*i - 406 = 0, 2*h = 3*i + 223. What is the remainder when 61879 is divided by h?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/65 + -24\/65. Let m = 101.11 - -2.09. Let r = m - 103. Which is the second smallest value? (a) f (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.64 less than -0.2?\nAnswer: -43.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -53*a + 265. Let h be y(5). Suppose -5*j + j - 10 = -5*b, h = -5*j. Factor -1\/2*i + 7\/4*i**b + 0.\nAnswer: i*(7*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 1, d: 1, a: 1, h: 1, c: 1}. What is prob of picking 1 v and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-3*s**4 + s**4 + s**4 + (s**3 + 3*s**3 - 2*s**3)*(7*s - 3*s + 7*s)).\nAnswer: -21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2. Let g(j) = 190*j**2. Calculate g(d(b)).\nAnswer: 190*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1344\/63*(92\/16 + -5) - (-3 + -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1323386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/(-945))\/(-15*(-11)\/550).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -61 + 10 + 22 + 38\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8361275771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1728145.\nAnswer: -3\/1728145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(3 + ((sqrt(300) - (sqrt(300) - (5 + sqrt(300)*-2))) + (sqrt(300) + sqrt(300) + -1 - sqrt(300)) + -3)*-3)**2.\nAnswer: 10796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 4*d + g + 35, 0 = -4*d + 4*g + 28. Let v be -3 + 2 + (-5)\/15*-6. Sort d, v, 2 in descending order.\nAnswer: d, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1719, 1723, 1727, 1731?\nAnswer: 1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 1:10 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 8. Let d(c) = -4*c**2 - 64. Let q(x) = d(x) - 8*l(x). Let k(b) = 39*b**2. Determine q(k(j)).\nAnswer: 6084*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 293*q*r**3 + 554*r**3 wrt q.\nAnswer: 293*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0.5, -5 in descending order.\nAnswer: 28, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252603 is divided by 126179?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l - 2. Let y(k) = -k**2 + 4*k + 1. Let j be y(4). Let p(o) = o + 3. Let s be p(-3). Let i be (j - s)\/((-3)\/6). What is q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:15 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 15. Let o = -8 + 7.7. What is the third smallest value in 0, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28253215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/5)\/((-2)\/(-10)). Suppose -10 = 3*d - v*d + n, -2*n = 3*d + 2. Suppose 4 = d*q - q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**3\/4 + 8031*x**2\/4 - 12027*x\/2 - 8022 = 0.\nAnswer: -1, 4, 2674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-2187 - 5115 + 10875)*(-3*h + 0 + 0).\nAnswer: 10719*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, 2\/15, -6\/11, -522, 1, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529 + 68*l**2 + 530 - 141*l**2 + 197*l**2.\nAnswer: 124*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 91\/21*((-12)\/(-3) - 1). What is the third derivative of 47*t**4 + t**3 + 3 + 30*t + 15*t**2 - 9*t - 8*t - w*t wrt t?\nAnswer: 1128*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/2)*y**(-3\/11)*y)\/(y\/(y*y*y\/(y**(-1\/4)\/y*y)*y))**(6\/5))\/(y*y**9*y**(-1\/7)*y)**(-48) assuming y is positive.\nAnswer: y**(202999\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15208 + -15206. Let z(r) = r**2 - 3*r + 8. Determine z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101522 - 2*l + 167*l**3 + 98179 - 3*l wrt l.\nAnswer: 501*l**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95 - -13) + (4 - -38).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - ((-1 - -14) + -15)) + 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.38 - 0.27. Let q = a - 4.82. Let o = -4.71000329 - q. What is o rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*i - 15*i - 4352. Is 32 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-843)\/(-3934) - (-220)\/(-14)) + 1\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3674 + -14693\/4. Let q = 118\/7 + -409\/28. Suppose 9\/4*a**2 + 3\/2*a + 0 - q*a**4 - p*a**3 - 3\/4*a**5 = 0. Calculate a.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 13*u - 14 = 0. What are the prime factors of ((-4)\/(-6))\/((-30)\/8415)*u?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/18 - 40\/(-18)) + 0. Suppose 9 = 3*s, 4 + 8 = 3*n + x*s. What is the remainder when 10 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250810735 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-13 - 1) + 4) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -71, -109, -147?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148830217 to the power of 1\/3, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s\/s**4)\/s*s)**(-31)*s\/(s\/s**(-21))*(s*s**(-2\/5))\/s assuming s is positive.\nAnswer: s**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(36\/(-9)))\/((-5)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2626.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-32)*8)\/((-5)\/(-1)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1, 1, -1559, 3, -5 in decreasing order.\nAnswer: 16, 3, 1, -1, -5, -1559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13976 - -41932\/3. What is the third biggest value in g, -115\/6, -1\/5?\nAnswer: -115\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 83\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7022 (base 10) in base 8?\nAnswer: -15556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5354 + 114?\nAnswer: 5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 9*c**4 + 5843*c**3 - 118366*c**2 + 479172*c + 112392 = 0?\nAnswer: -669, -2\/9, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*w + 2*w**3 - 798*w - 171*w - 1 - 1 - 497*w as x*w**2 + y*w**3 + m + a*w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 565 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + -5 + 0 - 6. Let s(g) = -g**5 + 5*g**4 + 2. Let p(t) = -t**5 + 6*t**4 + t**3 + 3. Let q(a) = v*p(a) - 6*s(a). Factor q(k).\nAnswer: 2*k**3*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 4. Let w = -0.9 - m. Which is the third biggest value? (a) -2\/13 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.426887 - 6.423. Round y to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*b - 6*b - 109296. Let m be b\/(-96) - (-6)\/(-4). Which is smaller: m or -50?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006746 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 3 - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -153*x + 159*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 2*v + 10, 8 - 30 = -3*b - 2*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p. Let m(v) = -12*v - 85348. Give t(m(q)).\nAnswer: 24*q + 170696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let r be s(3). Let a = -2 - r. Suppose -3*y = -6, 5*t = y - a - 1. Solve -5*o + 4*o = t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -4, -2 in increasing order.\nAnswer: -4, -2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1143\/5 + -233. Let d = -46\/15 - c. Find the common denominator of 46\/9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31543 at most 31506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/40 - (-2)\/(-5). Let n = -581.07 + 578. Let j = -0.07 - n. Which is the smallest value? (a) z (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 45. Suppose u*c = 3*c. Suppose -316 + 1057 = l - 2*y, c = -2*l - 4*y + 1490. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mddji. What is prob of picking 1 d and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, o: 3, v: 3}. Give prob of picking 1 v, 1 k, and 2 o.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 13 = 7. Let j be 6\/(-7 - (-170)\/20). Put -5, i, j, -2 in increasing order.\nAnswer: -5, i, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1522055 (base 6) to base 13.\nAnswer: -31430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 - -567. Let x be (-9)\/(-21) + i\/14. Suppose p - x = 2*w - 1, 0 = p - w - 14. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 427\/122*(-270)\/21*(-30)\/75.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 26948369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:44 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84415 - -127002. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(2 + (-2)\/2). Let u be (-2 - 1) + (z - -1). Put u, 3, -2 in ascending order.\nAnswer: u, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23656\/1346995 - -2\/11713. Let v = c - -579\/230. Let w = 41\/18 - v. What is the nearest to w in 1\/6, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, 0, 76\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 66. Suppose -p*k = -3*q, -k - k = 4*q. Let q*s - 2\/5*s**3 - 4\/15*s**2 + 0 = 0. What is s?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 1483*h + 1483*h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124907 or -5745763\/46?\nAnswer: -5745763\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365402 by 2.\nAnswer: -182701","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + -44 + 29 + 8 + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + 2. Let j be x(1). Let l(g) = -g**2. Let y(n) = -2*n**2 + 7*n + 3. Let k(w) = j*l(w) + y(w). Suppose -2*h = 7*h + 54. Determine k(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/28, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v + 157 - 192. Suppose 0 = -10*d + 5*d + 5, 0 = -4*m - 4*d + 72. What is the remainder when m is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -3901*y**6\/120 - 65*y**4\/6 - y**3\/6 + 420*y**2 - 7. Find the second derivative of d(r) wrt r.\nAnswer: -23406*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/8)\/(1\/6). Let m = 142 - 139. Solve r*g**2 + m*g + 3\/2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 5, -5, 12, 47, -192 in descending order.\nAnswer: 47, 12, 5, 1, -1, -5, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 701\/25194 + -1\/663. Does 1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/3*-12*12\/288. Which is the closest to 0? (a) 0.1 (b) -0.4 (c) i (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003231228 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*d - 223 + 384 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - q**3 + 2*q**3 + 5*q**3 - 3*q**3 - 3*q**3 + (2*q**2 + 0*q**2 - q**2)*(-q - 3*q + 2*q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 1. Suppose 127*p - 235*p + 123*p + 75 = 0. Let y(h) = 32*h**2 + 5*h - 5. Give p*x(a) + y(a).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2 + 2)*(-5*y + 0*y + 4*y) + y**3 + y**2 - y**2 + (105 - 105 + 34*y)*(y + y**2 - y).\nAnswer: 33*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkudvbh. Give prob of picking 2 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984743853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -18*f + 91. Let n(h) = -63*h + 327. Let r(d) = 18*m(d) - 5*n(d). Let g(l) = 5*l - 1. Give -5*g(b) - 3*r(b).\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-4*w**2 - 2*w**2 + 4*w**2)*(5*w - 4*w - 3*w) - 4*w**3 - 2*w**3 + 2*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4255*c - 230. Let p(w) = 112*w + 6. What is -6*o(j) - 230*p(j)?\nAnswer: -230*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-8))**(-17))**(3\/10))**(-1\/24))**(3\/13) assuming v is positive.\nAnswer: v**(-51\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.689 * -1.\nAnswer: -28.689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1264)\/(-18) - (-4)\/(-18). Let o = -6 + 16. Suppose -4*k - o + s = 0. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 232, 224, 202, 160, 92, -8, -146, -328?\n\"Answer: -y**3 - y**2 + 2*y + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 5*k - 4. Let z be b(-5). Let d(h) = h**2 + 9*h + 8. Let n be d(-9). Let l = n + z. Calculate the greatest common divisor of 8 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10664423 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(1 - 2 + 2) + 2000 - 1010 - 1060)*(-3*v + 5*v + 0*v).\nAnswer: -144*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65550 and 20.9?\nAnswer: -1369995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 199\/9? (a) -0.5 (b) 44 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2)\/(-5*(-14 - (-208)\/16))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1336 to 3 decimal places.\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 5405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 15 = -o. Let y(z) = z**2 + z - 4. Let u be y(o). Solve 2*m + 2*n = 18, 25 = 5*m - u*n + 3*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-6)\/(-36))\/(21\/9).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - g**2 + 1. Let w(p) = 4*p**3 + p - 3. Let t = -24 + 25. Let z(l) = t*w(l) + 3*i(l). Let y be z(3). Solve 0 = q + y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1200\/975)\/((-6)\/(-39)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -39472*q - 2526204. Calculate b(-64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*n**2 + 12*n**2 + 24*n**2 + (0 - 4 + 5)*(-4 + 2*n**2 + 4))*(2*n**2 + n**2 - 2*n**2) to the form y + r*n**3 + g*n + a*n**2 + u*n**4 and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 - 4*m - 19. Let i be p(8). Suppose -35 = 6*q + i. Let a = 201 + q. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + (-73 - -66) - 17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3589*y - 1. Let f(d) be the third derivative of d**5\/60 + 23*d**2 + 33*d. What is m(f(k))?\nAnswer: 3589*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from ifofvofvfvffoofo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 288 + -4605\/16. Let z = -1\/80 - n. Let x be 7\/(-28)*10*2. What is the third smallest value in x, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11815, -23600, -35341, -47020, -58619?\n\"Answer: 3*i**3 + 4*i**2 - 11818*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = 4*o - 5*i + 108, -i = o + 62. Let f = o - -69. Solve f*j + 12 = 4*h, -h + 7 = -j - j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2280 + -6839\/3. Sort -0.3, 8.29, u.\nAnswer: -0.3, u, 8.29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + -0.22. Let w(d) = d**3 - 2*d**2 - 10*d + 12. Let i be w(4). What is the nearest to 8 in i, -2\/5, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/3 - (-2)\/6. What is the tens digit of 7\/(a\/170) + -5 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5016.589um?\nAnswer: 0.000005016589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 910.0299 + -1.\nAnswer: 909.0299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + -11)*(-16)\/72. Which is the closest to 1726? (a) -5 (b) -3 (c) 1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7850, 7862, 7876, 7886, 7886, 7870?\n\"Answer: -o**3 + 7*o**2 - 2*o + 7846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4313133148 to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 10 = -5*h, 7*i - h = 9*i + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/20 - 1)*(6 - 25\/4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 11*s**3 + 3*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 743756938 a multiple of 6194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318 - 314. Let c = -0.072 - 0.028. What is the nearest to c in l, 2\/165, -3?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -2*v**3\/3 + v**2\/2 - 13*v. Suppose -1 = 2*x + 3*q + 2*q, -x = -2*q - 4. Give b(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -23 + (-1 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2 + 85*n + 3. Let t(v) = -5*v**2 - 85*v - 2. Calculate 4*t(y) + 3*x(y).\nAnswer: -2*y**2 - 85*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*g = 1 + 1, 0 = -4*d + 5*g + 18. Let m(t) be the second derivative of 0*t**d - 2*t + 1\/54*t**4 + 2\/27*t**3 + 0. Factor m(c).\nAnswer: 2*c*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16166372333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2107 rounded to two decimal places?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Suppose -i*g - 2*t = 3*g - 35, -3*g - 4*t + 35 = 0. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/15 - (1 - (-15)\/(-1)). Suppose -o*j = -95 - 7. Suppose -4*d - 10 = j. Let x(b) = b. Give x(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 32 = 3*q + 6*l, 5*l - 30 = 2*q. Let a be 14\/91 - (-386)\/26. Let u = q + a. Solve 0*v - 5*v = -3*z + 6, 0 = u*z - 2*v - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Let j(f) = f**3 + 8*f**2 + 7*f + 18. Let s be j(-7). Suppose -5*c + 5*k - 40 = 0, c - 3*k = -0*c - s. Put q, -14, c in descending order.\nAnswer: q, c, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163609, 0.01, 3, 2, -0.3.\nAnswer: -0.3, 0.01, 2, 3, 163609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 742221 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -0.51, -5\/2, -2\/23, 3\/5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/3, -36, 0.\nAnswer: -36, 0, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-393)\/36*-92 + 3\/(-9). Let s = 1917\/2 - w. Find the common denominator of 111\/50 and s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Solve p = -3*u - 16, 0 = -n*u + 5*p - 2 - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402464 is divided by 616.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**3 + 18*n**3 + 11*n**3 + 12*n**3 - 4*n**3.\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42d7 (base 14) in base 7?\nAnswer: 45460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.8 - -34. Which is the third smallest value? (a) 30 (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 25*k**2 - 114*k - 46. Let w be d(-20). Suppose w*o + 704610 = 225*o. What is o rounded to the nearest one thousand?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -264 + 330. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 26 + 9878103*f - 27.\nAnswer: 9878103*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 716 + -716.5. What is the nearest to -0.2 in -2\/5, -0.1, 1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41029464 + -402.\nAnswer: 41029062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 22 + 3 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.8 - 16.4. Let t(f) = -f - 16. Let g be t(-11). Sort g, -2, 0.2, x.\nAnswer: g, -2, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 20. Solve i - 5*i - t = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**4\/24 - w**3\/6 + 6*w**2. Let t be r(1). Suppose t = -6*a + 3*a + 231. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537 = 3*b - 3*f - 1608, 5*b + 4*f = 3620. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 595*c + 85750. Give p(350).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3966491428?\nAnswer: 2, 991622857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23a (base 12) in base 9?\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 + -6)) + -4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 363*y**3 + 8*y**2 - 2148*y - 10. Let t(c) = -364*c**3 - 9*c**2 + 2149*c + 12. Let n(u) = 5*t(u) + 6*x(u). Find the second derivative of n(k) wrt k.\nAnswer: 2148*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 956*l = -3538 - 15951 + 4193 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6464 - 129243\/20. What is the common denominator of s and 8\/(-20) + (-15)\/(-100)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35230 + 3?\nAnswer: 35233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011 - -1?\nAnswer: 10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*l + 14, -2*l + 0*y + 10 = -y. Suppose 0 = 35*d - 16*d - 190. Solve -t + d = -l*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*r + 1 + (-4*r + 2*r + 4*r)*(5 - 3 + 0) + 45*r - 78*r + 4*r to the form c + i*r and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -292*l**5\/5 - 473*l**2 - l + 121. What is the first derivative of x(s) wrt s?\nAnswer: -3504*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*f + 3*f + 618, -f - m = 126. Let v = f + 81. Let i be 19\/v + (-2)\/(-7). Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + w**2 + 5*w + 4. Let z be j(-3). Let l = 42 + z. What is the greatest common factor of l and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1\/4 (c) 30 (d) -14 (e) -1.6 (f) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/4 - 6*f**2 + 27*f - 28 = 0.\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**32*n*n**(1\/5) assuming n is positive.\nAnswer: n**(166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Let z(b) = -4017*b + 58. Let q(p) = 8062120*p - 116435. Let t(f) = -2*q(f) - 4015*z(f). Give t(v(k)).\nAnswer: 4015*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-294)\/(-98)*(3 - (-949566)\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 965775.2 tonnes?\nAnswer: 965775200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53.7 - -51. Let r = -13.5 + q. Let u = -14 - r. Round u to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 + 29*d - 5. Let t be n(8). List the prime factors of (60\/t)\/((-4)\/(-1050)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o*s**2 + 2*o*s - 733762*s**2 + 1040688*s wrt s.\nAnswer: -2*o - 1467524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -0.3, 2\/19, -4\/5, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 24 = -3*f, a - 9 = f + 3*a. Let t be -6 + (5\/(-15) - f). Factor -2\/3*o**2 + t*o**3 + 0 - 4\/3*o.\nAnswer: 2*o*(o - 2)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-462))\/(30\/(-1785)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180789\/16 - -11305. Suppose 5*m = 4*i + 42, 21 = 4*m + i - 0*i. Find the common denominator of y and -2 - -1 - 261\/m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 22*j**2 + 95*j + 22. Calculate w(-5).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 81497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3582 is divided by 330.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6765947 and 2078754.\nAnswer: 2078754.6765947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -881 minus 0.1?\nAnswer: -881.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30539*q**2 - 29707*q**2 + 60267*q**2.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(153)*6 + -4)**2.\nAnswer: 288*sqrt(17) + 22053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let p be 2\/(-10) + (-1930)\/(-25). Let r be 4\/(-22) - (-630)\/p. Is r at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1235024 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 22. What is the closest to -3 in 2, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -18. What is the second derivative of n**y - n**3 + 20*n**5 + 8*n + 10*n wrt n?\nAnswer: 400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582095 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1244*a = 1241*a + 4*d - 15, 4*a - d = -20. Let k(w) = 64*w + 317. What is k(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392000 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 55. Let l be g(20). Suppose 5*i = l*u - 45, -5*i - 2*u + u - 15 = 0. Suppose -10 = -3*y - 34. Put y, i, -3 in ascending order.\nAnswer: y, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-1 + -8*11). Suppose 10*v - 12 = s. Let n = 0 - -1. Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 + 0.5. Let h = 3.878 + 1.122. What is the closest to -0.2 in -2, h, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -957 + 1735. Suppose -2*q = -5*q - 4*w + n, -2*w - 1008 = -4*q. Is ((-4)\/2)\/((-4)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 25*j**2 + 6*j**2 + 7*j**2.\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/649 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -649 at least -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 16*u - 469. Calculate the remainder when i(-33) is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**4\/3 - 2903*d**3\/3 - 234014*d**2 - 56514260*d\/3 + 14172488\/3 = 0.\nAnswer: -242, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 8*j**2 - 13*j - 8. Let m be n(8). Let a = -103 - m. Solve -3*i - 27 = 3*s, -2*i - 4*s + a*s = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*a - 360 = 9*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - 6*-2*sqrt(24)) + sqrt(192)\/sqrt(8)*6)\/((-3*sqrt(64)*2)\/(sqrt(96)\/(2*sqrt(12)) + sqrt(8))))**2.\nAnswer: 1083\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215961259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*m - 903*m + 462*m - 777*m.\nAnswer: -1710*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20 + -2 + (-3)\/(-6)*4. What is the common denominator of 2 + 254\/(-16) + 2 and 21\/3 - (-8)\/r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 383438 divided by -33.\nAnswer: -34858\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3, -4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 81\/(-6)*42\/(-9). Let b = 92 - p. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 6*z = 40. Suppose 4*f = -f + z. Suppose u - f*u = 9. Which is bigger: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2123099\/3180 + 10012\/15. What is the common denominator of 49\/34 and h?\nAnswer: 3604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9000 = 3*r, -4*l - 4560 = 5*r - 16565. What are the prime factors of l?\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.5263\nAnswer: 0.15789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -3*f**5\/4 - 9*f**4\/4 - 3*f**3\/2 + 3*f**2\/2 - 5*f - 7. Let x(b) be the first derivative of m(b). Factor x(g).\nAnswer: -3*(g + 1)**2*(5*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**5*(r\/(r*r**(-2\/9))*r)\/r)**(-38) assuming r is positive.\nAnswer: r**(1292\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 15*p**2 - 985*p + 985*p - 9*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t = 17*t - 5611517 - 4696915. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104253 (base 7) in base 2?\nAnswer: -100001001100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 + 10040410*b - 5040491648405 = 0. Calculate b.\nAnswer: 1004041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-199)\/796*(3 - 74\/26)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 470?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/52)\/((-7)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 7:47 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -6533\/166 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/17)\/r*r**16)\/(r**(-24)*(r*r*r*r**(-1)*r)\/r) assuming r is positive.\nAnswer: r**(627\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) 1\/5 (b) -5 (c) 4 (d) -1.5 (e) 46\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002465 to 6 decimal places.\nAnswer: -0.000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -568844 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 4*r**5\/3 - 253*r**4\/3 - 5888*r**3\/9 - 4456*r**2\/3 - 896*r + 2956. Suppose l(f) = 0. What is f?\nAnswer: -3, -2, -2\/5, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1193525*k**4 - 542834.\nAnswer: 4774100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15843693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170526 + 646927. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 300\/7? (a) -4 (b) -2\/7 (c) 4\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 6*o**2 - 11*o - 13. Let q be a(7). Let p = q - -203. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*r + 710, 19*r + 940 = 4*o + 17*r. Suppose 8*u - 356 = 76. Calculate the highest common divisor of u and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1 + 2 + -4*(sqrt(171) + sqrt(171)*2))*-5 + -3.\nAnswer: -13 + 165*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/2 - 1455*d**2\/2 + 2925*d\/2 - 1465\/2.\nAnswer: -5*(d - 1)**2*(d + 293)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 218016106 divided by 1415689\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 24 = -4*f, 5*f - 30 = 3*h - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776519 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*j - 25344 - 26400. Calculate the least common multiple of 518 and j.\nAnswer: 21756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538095 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 11352 - 11352 + 1576*k**3)*(k**2 + k**2 + 0*k**2 + (-k + 0*k - k)*(-2 + 2 + 2*k) - 3*k**2 + 4*k**2 + 0*k**2 - 1 + 1 + 2*k**2).\nAnswer: 1576*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 34. Suppose -u = -3*a + 5*s, 3*s + 6 + 9 = 0. Let x(w) = 25*w**2 - w - 1. Is 9 a factor of x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 2, -1640 in decreasing order.\nAnswer: 10, 2, -4, -1640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - -116. Solve -2 = 5*r - t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 22 = 4*y, -18 = -5*i + 2*y - 5*y. Let g be (3\/i)\/(4\/56). Let x(w) = w**3 - 6*w**2 - 3*w - 6. What is the tens digit of x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -4222.\nAnswer: -7\/4222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107938 is divided by 1333.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 56 = f - 4*p, 0 = -5*p + 10. Suppose 0 = 3*c + k - f, -4*c - 3*k = -7*k. What is the greatest common factor of 16 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248631913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -443000 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2145 is divided by 184.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 times -5?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i + 30. Let v(t) = t**2 - 2*t + 3. Let u be v(2). Suppose -i = -u*b + b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80707379, 80707372, 80707365, 80707358?\nAnswer: 80707351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + -1. Let z = t + 10. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -228, -219, -208, -195, -180?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10)*26\/13*(-25)\/4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -1567*o**4\/24 + 1084*o**2. Let k(p) = -p**2. Calculate d(k(y)).\nAnswer: 1567*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 3:33 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 244, 240, 236, 232, 228?\n\"Answer: -4*t + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(2\/3)\/o))\/o)**(-46)*(o*o**(-1\/2))**(2\/37) assuming o is positive.\nAnswer: o**(-1699\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*(-68)\/192882 + 4298\/930.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -334155*i**3 - 1272*i**2 + 27*i.\nAnswer: -2004930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.178327 years to centuries.\nAnswer: 0.02178327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2995.0189 to zero decimal places.\nAnswer: 2995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 331322 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 45 + 43. Let l be ((-11)\/c)\/(1\/10*1). Suppose 4*k = -l*x + 45, -2*x - 12 = -k - 3*x. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.41 + 2.81. Let v = g - 2. Let i = -44\/13 + 347\/91. What is the biggest value in 1, i, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 4:33 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 1. Let m(b) = 2*b + 3. Let s(r) = -6*k(r) + m(r). Suppose 3*l - 5*a = 7 + 4, -4*l - 5*a = -3. Is s(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103147420 to the nearest one hundred thousand.\nAnswer: -103100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 3*q - 2. Let c = 28 - 40. Let x be (-1005)\/(-90) - (-2)\/c. Let s(k) = -6*k**2 - 8*k + 5. What is x*v(u) + 4*s(u)?\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -819144 divided by 1116?\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.84 + 2.84. Which is the nearest to -1? (a) i (b) -3\/2 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 189591084*y - 523975349 wrt y?\nAnswer: 189591084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 4. Let m be a(4). Let p be (2 - 0)\/((-70)\/m). Let h = -1.1 + 0.1. Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 0. Is 414\/12*(-4)\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 1. Let h be t(4). Suppose 58*v - 54*v - 12 = 0. Solve h*g = v*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11168, -14246, -17322, -20396, -23468?\nAnswer: -26538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10540 + 5077 - 32081 = 1035*h + 1786 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35598782 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1268256 and 16104?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317 divided by 6.\nAnswer: -317\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**3\/3 + 2*l**2 - l. Suppose 0 = 87*u - 89*u + 6. Calculate r(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*w = -38 + 158, -5*w - 141 = -3*m. Suppose 0 = -3*n + 2*g + g - 27, 2*n + 4*g = -m. Let r = n + 21. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Suppose n - 1 = -x*y, -5*n = -0*n + 25. Let h(w) = w**3 - 6*w**2 + 8*w - 12. What is the remainder when h(5) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 + 7 = 0. Solve 0*x = -x + t + f, t = -4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + o**2 - 4*o - 8. Let l be h(-6). Let y = l - 93. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1211 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14190 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1077 + -1076.9199. Let l = 325.9199 + n. Let m = l + -324.41. Round m to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -40. Suppose 6 = q*r - 9. Solve 0 = r*p + d - 25, 2*p + d = -d + 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280387048.\nAnswer: 2, 2447, 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1332 + -112210?\nAnswer: -110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/1440*-8*(-1 - 2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -2, -40, 3.6, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millisecond in microseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/5)*h*h)\/(h\/(h*h\/(h*h**(3\/2)))))**(-2\/17)*((h\/h**(-1\/3)*h)\/h*h**(-2))**11 assuming h is positive.\nAnswer: h**(-1909\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 212944847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2\/5 + 1744168*a\/5 - 380265251528\/5 = 0.\nAnswer: 436042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/120 + r**5\/20 - 5*r**4\/24 + r**3\/2 + 2*r**2. Let d = -7341 + 7337. Calculate u(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.81055 litres to millilitres.\nAnswer: 40810.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 0*q + 3*q**2 - 4*q + 0*q**2. Let j(g) = -23*g**2 - 19*g**2 + 49*g**2 - 9*g. Calculate 9*i(o) - 4*j(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 - 186*d**2 + 3900*d + 285000 = 0 for d.\nAnswer: -50, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -15*k**2 - 103*k + 7. Let q(m) = 8*m**2 + 53*m - 4. What is -3*l(f) - 5*q(f)?\nAnswer: 5*f**2 + 44*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254225.53 + 307?\nAnswer: -1253918.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2. Let w(v) = -v**2. Suppose 10 - 2 = 4*l. Let b = -20 + 10. Calculate b*w(g) + l*n(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3284 = 14*s - 3606. Calculate the remainder when 222 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 69*y - 2. Let o(b) = 3*b**2 + 2*b. Determine i(o(c)).\nAnswer: 207*c**2 + 138*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 10. What is the remainder when x(5) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*m - 5 + 9 = 0, 0 = 5*o - 4*m + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1559 - 1559.0000956. Round n to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27347.9855175 + 27348. What is h rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 1\/4 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 407, 395, 369, 323, 251, 147, 5, -181?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4004 divided by 28\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 63. Calculate a(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34763893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**4\/12 - 5*l**3\/2 - 2*l**2. What is the tens digit of q(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 5*g\/4 - 1.\nAnswer: -(g - 4)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62205 and 12731290?\nAnswer: 38193870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1187*f**6 + f**5 - 11*f**3 - f**2 - 159065?\nAnswer: -142440*f**3 + 60*f**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13300103 - 3220?\nAnswer: 13230223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 26. Let s be ((-105)\/(-10) - -1)\/((-6)\/12). Determine t(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188.765441 to 0 dps.\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-6)\/48*-14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(468)*-3 + 3)**2*6 - (4 + (sqrt(468) - (sqrt(468) + -1))**2 + sqrt(468) + (-4 + sqrt(468) + 1 + sqrt(468))**2)*5.\nAnswer: 2274*sqrt(13) + 218072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1625 and 5557500?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2\/7, 5, 0.3047, -1\/2, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -17.5. Which is bigger: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + 4 + -1 + sqrt(468).\nAnswer: 3 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001517 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**31)**(-1\/25)\/((t\/(t\/(t*t*t**(-24)*t)*t))\/(t*t*((t*t**(-8\/9)*t)\/t)\/t)) assuming t is positive.\nAnswer: t**(4912\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, h: 2, f: 4, n: 1, t: 1}. Give prob of sequence fggn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*c - 6 = 0, 4*o + 197*c - 199*c = 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -30.8848*0.5\nAnswer: -15.4424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5855.\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2274 + 0?\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 0.4\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6*1*3\/(-12)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -9.995. Round o to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o = 25*o. Suppose -17*j - 124 - 216 = o. Put -3, 3, j in descending order.\nAnswer: 3, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 - -80. Determine q, given that 50*q + 7*q**2 - q**r + 15*q**2 + 3*q**3 + 56 + 14*q = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -5467.\nAnswer: -3\/5467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -1214\/15, 5, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 times 0.09?\nAnswer: -5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-30)*27\/36. What is the third smallest value in 4\/7, j, -2\/21, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 66 = 2*u. Is (4\/10)\/(2\/u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 10, l: 7}. What is prob of sequence tlt?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 - 399*v - 13098 = 0. What is v?\nAnswer: -74, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9666983 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/100 + 49\/100. What is z in -7\/2*z**2 + 15\/2*z - 9\/2 + i*z**3 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418d4 (base 16) to base 9.\nAnswer: 448273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10 = -0. Let x(z) be the third derivative of z**5\/30 - 29*z**4\/24 - 13*z**3\/6 - 2*z**2 - 19. What is the lowest common multiple of x(15) and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/15)*z*z*z)\/(z**23*z))**(-3\/14))**(-6) assuming z is positive.\nAnswer: z**(-894\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 132149 = -3*v - 0*v, -5*v = -j - 220251. What is v rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6646.\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 21. Let l be h(14). Let c = 49 + l. Factor -1\/3*v**3 + 0*v + c - 1\/3*v**2.\nAnswer: -v**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - -23. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 0*r**2 - 3*r**4 + (43 - 297 + 127)*(2*r**4 - 3*r + 3*r).\nAnswer: -257*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imqq when four letters picked without replacement from {q: 2, g: 2, i: 3, v: 2, m: 4, r: 1}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(6)*5 + 1*sqrt(55)*-2)\/(1*sqrt(11)*5 + (sqrt(11) - (sqrt(275) + (sqrt(275) - sqrt(275)*1) + sqrt(275)))).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 940851 to the power of 1\/2, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.4 + -23. Suppose -21 = 5*q - 596. Let l = 120 - q. What is the nearest to -8 in 1, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5410.377l to millilitres.\nAnswer: 5410377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.94 + 2.88. Which is the second smallest value? (a) 5 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101*o**5 + 130 - 130 + (-o - 2*o + o)*(-2*o - 2*o**4 + 2*o).\nAnswer: -97*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -10*n + 83. Let r be (2\/(-3))\/(n\/126). Let k(t) = -t. Let y(u) = -u + 2. Give r*k(w) + y(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 22 = -166. Solve 0*n + 3 = -d - n, 4*n = 2*d + t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c + 2. Let m be (-36)\/(-3) - (7 + 1). Let z(l) = -l + 1. Let k(n) = -n**2 + 11*n - 19. Let p be k(9). Determine m*z(j) + p*o(j).\nAnswer: 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -606678 by 8.\nAnswer: -303339\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to -54\/43417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -10 + (21 - 8) + -27?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*k + 33*k - 54*k - 376*k - 130*k to the form s*k + z and give s.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4522781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 3 (c) -575 (d) -198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 587 = 6. Let m be 13*-7 + 4 + -6. Let g = m + r. Are g and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + 1*sqrt(17) + -2 + 1 - (-1*sqrt(187)*-3 + sqrt(187) - sqrt(187) - sqrt(187))\/((sqrt(11) + sqrt(66)\/sqrt(6))*1))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4 - 820*w**3 - 93344*w**2 - 706880*w - 1387008 = 0 for w.\nAnswer: -86, -4, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1133024133111 + -4?\nAnswer: 1133024133102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -9\/2, 10, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) - 4*sqrt(896))\/sqrt(8).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + 981 + (5 - (-5)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 8*f - 5. Suppose 21 = -w - 110. Let k = w - -133. Calculate the smallest common multiple of k and a(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k**2\/k)\/k*k))**(3\/5)\/(k\/(k**1*k))**(-33\/4) assuming k is positive.\nAnswer: k**(-177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 - 9283 = -810*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -316*l**2 - 63*l + 4. Let d(k) = 1276*k**2 + 248*k - 17. Let s(u) = 6*d(u) + 22*i(u). What is the second derivative of s(m) wrt m?\nAnswer: 1408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14292 divided by -4\nAnswer: -3573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1530 = 97*y + 94*y - 38*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2728467500?\nAnswer: 2, 5, 11, 47, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**8\/3360 + v**5\/120 + v**4\/12 - 3*v**2. Let p(u) be the second derivative of r(u). Differentiate p(o) with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/w**(-1\/8))\/w)*w)\/w*(w*w**(-17)*w)\/w)\/(w**(1\/2))**(-1\/29) assuming w is positive.\nAnswer: w**(-3505\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 597224*m**3 - 6827*m - 2.\nAnswer: 3583344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -54?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 808252 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2793188 to the power of 1\/2, to the nearest integer?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5298131t in micrograms?\nAnswer: 529813100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(8\/9)\/w**23)\/((w**35\/w)\/w*w*w*w*w\/(w**(25\/3)*w)) assuming w is positive.\nAnswer: w**(-448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*1\/2*204\/510\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4030368.869 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**6 + 141*x**4 + 6*x**3 + 3589*x**2.\nAnswer: 360*x**3 + 3384*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 65 + 103. Let o = 63 - g. Are o and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -28*l + 4. Let i be j(0). Suppose s - 40 = 3*u, 7 = s + 5*u - 1. Calculate the highest common factor of s and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 7. Let g be v(-5). Suppose g*l + 3*r - 7 = 0, 2*l + 2*r = 4*r + 12. Sort l, -3, 3 in descending order.\nAnswer: l, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/14, 199316, -2\/17 in decreasing order.\nAnswer: 199316, 9\/14, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 - 11 - 3*f**3 + 0 to w + u*f**3 + k*f + o*f**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324448000?\nAnswer: 2, 5, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l - 28. What is x(-14)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.433 + 0.133. Let z = -0.69 + 0.7. Which is the closest to 2\/5? (a) f (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106 + 111 - 52*x + 15*x + 12*x as o*x + d and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458867020 + 27*b + 458867020.\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2. Suppose 5*p = 7*p. Suppose 3*q + p*q = 27. Let r(n) = -2*n - q*n + 7*n. What is r(v(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 1. Let p(k) = -6*k**2 - 5*k + 11. Let l(q) = -5*m(q) - p(q). Suppose 5*b = u - 9, 3*b + 3 = 4*b + u. Let d be (-8)\/b*18\/(-24). What is l(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 34, 146, 358, 700, 1202, 1894, 2806?\nAnswer: 3968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43777849 to the nearest integer?\nAnswer: 6616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13722947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-8)*7\/((-1848)\/64).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -3 - (2 + 7 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 412966 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-13)*z)\/z*z*z**(4\/5)*z*(z*z**(5\/3)*z*z)\/(z\/z**(5\/8)))**(-5\/14) assuming z is positive.\nAnswer: z**(709\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 561 and 68.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2255830*o**3 + 22643*o**2 + 117*o wrt o.\nAnswer: -13534980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 87*w**3 - 48*w**2 - 10320*w + 28800.\nAnswer: 3*(w - 8)*(w - 3)*(w + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2027 = -3*y, -4*s + 14*y + 1620 = 10*y. What is the lowest common multiple of 580 and s?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 647 + -646. Put 3, -6, 12, j in descending order.\nAnswer: 12, 3, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i)**41 assuming i is positive.\nAnswer: i**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 166\/3?\nAnswer: 166\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**2 - 22286094*q - 111430545 = 0.\nAnswer: -5, 7428703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10.6 or -4087.1?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60052\/59 + 1018. Let j = 614296399\/2655 - 1156869\/5. Let q = i + j. Which is greater: -0.1 or q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/(-40) - (-1)\/4. Let s = 1\/2 + w. Put -1, s, 0.5 in increasing order.\nAnswer: -1, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 27 = 5*t, 8177*i + t + 12 = 8174*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703617*i - 6016 = 703745*i for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/84 + -1\/12. What is the nearest to -2 in -1.1, 4, t?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4079*h + 5 - 5 - 3852*h + 5*h**2 + 7931*h.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 1, b: 1}. What is prob of sequence db?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9930 minus 19?\nAnswer: 9911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + 3 - (2 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 4:31 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 1) + 1 + -2. Suppose -4*c = 3*y + 5 + 5, -2*c = 5*y - m. Solve 1 = j - y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 7:47 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 115, 273, 495, 781?\n\"Answer: 32*t**2 - 2*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79403954 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266400944 divided by -73.\nAnswer: 3649328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 + 143)\/(-2*1\/(-2)). Calculate the greatest common divisor of 2759 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 44*y**2 - 70*y + 73. Let o be i(20). Calculate the highest common divisor of 169 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfvvdddbdb. What is prob of sequence ff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1749 and 12402.\nAnswer: 136422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11\/4818*-426 - (-2)\/2\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -4. Let i = c + 16. Solve 0 = -2*h, 5*r + h + 2*h + i = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95 times 5?\nAnswer: 4.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sos when three letters picked without replacement from {o: 3, s: 1, x: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4889 divided by 1\nAnswer: 4889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/5 + (-4)\/(-10). Suppose 4*z - 42 = n*o, o = -z + 14 + 1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Suppose -3 = q + r*w, 2*q + 0*q - 2*w = 4. Let n be q\/5 + 3\/(-15). Is 1\/5 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 39559.44 minutes?\nAnswer: 2373566400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 22*y**2. Let k(q) = q + 4. Let v(r) = r + 4. Let c(s) = 3*k(s) - 4*v(s). Let w(d) = -3*d - 9. Let a(p) = 9*c(p) - 4*w(p). What is a(x(i))?\nAnswer: 66*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r**4 + r**2 + 12*r + 0*r**5 + 0*r**3 + 3\/10*r**6 + 8. Let w(d) be the first derivative of y(d). Differentiate w(u) wrt u.\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 - 41. Let g = q - 69. Suppose g = 2*r - 8. What is the least common multiple of r and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1156279 is divided by 422.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 173, 10, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 374\/3735 + -12\/83. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*(-2 - (-16)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/120 + 3*d**4\/8 - 7*d**3\/3 + 16*d**2. Let z(q) be the first derivative of j(q). What is z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 572, 2153, 4782, 8459?\nAnswer: 13184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1730 + -1732. Let f(w) = w**2 - 2*w - 7. Let s be f(-6). What is the third biggest value in t, 5, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4.13. Let r = q - -0.37. Put -0.2, 5\/3, r in increasing order.\nAnswer: -0.2, r, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 701 + -701. Let s(r) = -7*r + 25. Let a be s(3). Solve 20 = -4*q, h = -3*t - 2*t - a*q - 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1399 - 1399.02006. Round t to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218 - 237 - (1 + -53)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 118. Let x = -1.06 - 53.94. Let r = x + i. Which is the smallest value? (a) 6 (b) -2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**5\/30 - 13*h**2. Let i(w) = -14*w**2 + 4. Let t(j) = 266*j**2 - 77. Let l(s) = 77*i(s) + 4*t(s). Calculate l(k(o)).\nAnswer: -56*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 27335.\nAnswer: 218680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-7)\/(28\/(-8)). Solve -l = -3*i + i + 7, 5*i - 18 = s*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -15, -26, -41, -60, -83?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c2c87 + 14?\nAnswer: -2c2c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4973 by -4973.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*2815.\nAnswer: 140.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbsk when four letters picked without replacement from whskxwbs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34615\/79053 + 4\/2027. Find the common denominator of 25\/91 and f.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -20. What is the remainder when r is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-10) + -16*2\/(-20). Suppose 0 = 2*o + 4*c, 0 = -4*o - 3*c + 5*c. Let p be ((-4)\/(-8)*-4)\/2. Put p, y, o in decreasing order.\nAnswer: y, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**4 - v + 54*v**2 + 0*v - 3*v**4 + 9*v**4 + 1303*v**6 - 1304*v**6 wrt v?\nAnswer: -120*v**3 + 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51316199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 5 + 15 + -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-24)*193 - 1\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p**(-5\/3)*(p**(1\/2)\/p*p)**(-42))\/(p**(-5)\/p**(-2\/9))**16 assuming p is positive.\nAnswer: p**(514\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 29*x**2 - x. Let n be f(-1). Suppose -3*y - n = -336. Let w = -118 + y. Does -14 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - z - 1. Suppose -4*y = -5 - 15. Is b(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x = -30 - 159 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/(-4))\/(((-2)\/(-42))\/((-19)\/(-399))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7 - -1))\/((-1)\/2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:02 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from zpxkkkkzzzkpkkpzkk?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8168058l?\nAnswer: 816.8058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-117)\/99 + (-4)\/(-22) + 4. Suppose 3*x - j*z + 2*z = 108, -2*x + 85 = -5*z. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:48 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -7 in decreasing order.\nAnswer: 5, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014881 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (-8 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c**3 + c + 4. Let v(p) = -8*p**3 + 3. Let n be -6*(-1 - (-3)\/9). Let g(i) = n*v(i) - 3*o(i). What is the second derivative of g(q) wrt q?\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 21 = -2*g - 5*r, 5*g = -2*r + 16. Let i be (g\/(-4))\/(2\/(-440)). Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6005101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(0*p + p**4 + 0*p)*(3*p + 0 + 0) + p**5 - p**3 + p**3 + (4*p**4 - p + p)*(2*p + 2*p - 2*p).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/18)\/(374\/(-22)).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94055, 96081, 98111, 100145, 102183?\nAnswer: 104225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, w: 12}. Give prob of picking 2 k.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 194*t**2 + 1885*t + 236. Calculate l(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/10 - 372372\/9240?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2. Let l(w) = -81*w + 41 + 76*w - 5. Give l(t(q)).\nAnswer: 5*q**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5 - 151*p**4 - 5460*p**3 = 0?\nAnswer: -91, -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 + 46*b**3 - 6*b**3 + 8*b**3 + 30*b**3.\nAnswer: 68*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1261, 9003, 23283, 44101, 71457?\n\"Answer: 3269*a**2 - 2065*a + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*g = -18, -r - 150*g - 14 = -148*g for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 208\/155 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/3010409 and -79\/40072.\nAnswer: 24083272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/10)*c**(-2\/9)\/c*(c\/(c**(1\/3)\/c))**(-39))**(27\/5) assuming c is positive.\nAnswer: c**(-17853\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10597 divided by -23.\nAnswer: -10597\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55452719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46, 72, 114, 178, 270, 396?\n\"Answer: i**3 + 2*i**2 + 13*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g. Let p(q) be the first derivative of -4*q**3\/3 - 1. Determine j(p(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*((-4833890)\/(-8))\/(-5) + (-2)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 6*m + 3. Let g be l(-6). What is the third derivative of w**2 - 2*w**6 + 3*w**6 + g*w**6 - w**6 wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395754 and 36210?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -25591 (base 13) to base 15\nAnswer: -156ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33966524 by 107489.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.6707ml in litres?\nAnswer: 0.3326707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*q - 2550 = -216*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -5208\nAnswer: 2083.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.4, 70\/13 in increasing order.\nAnswer: -1\/4, 0.4, 70\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -65152 divided by 16\nAnswer: -4072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (498\/(-332))\/((-80)\/32)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2 + 2)*(-796 - 671 - 76).\nAnswer: 3086*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 372*a**2 + 36*a - 186. What is the hundreds digit of t(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1 = -3*o, -2*o + 2 = -4*o - 4*u. Let c(p) = 20 - 19 - p + 5*p - o*p. Let q(m) = 9*m + 6. Determine 6*c(b) - q(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaeeaasasss. What is prob of sequence sea?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/117)\/((-908)\/247884).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) -2\/5 (c) -5 (d) 909 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -1.06. Let s = x - -0.04. Which is the smallest value? (a) -3\/5 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8308902km in micrometers?\nAnswer: 830890200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.49 and -0.4.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 24, 19503 in increasing order.\nAnswer: -0.1, 24, 19503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1402186\/1208 + (-3)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 24*u + 6 = 3*i, 0 = -3*u + 3*i + 30. Let f(v) = -v**2 + 2*v + 32. Give f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -s - 2*z + 6, -4*z + 5 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 43608227 + d**2 + 43608227 + 2*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - -0.36. Let g = 4\/3 + 1\/6. Is f smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f\/((f\/(f\/(f*f**(1\/4))*f))\/f)))\/f*f)**(3\/8)*(f**(-1)\/f)**(-5\/16) assuming f is positive.\nAnswer: f**(23\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1750, 3498, 5246?\n\"Answer: 1748*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*z**4 - 4*z**4 - 8*z**4 + 16*z wrt z.\nAnswer: -204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2062884 divided by -412?\nAnswer: 5007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/13 (b) 340 (c) -1 (d) -1996 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3337, -3326, -3313, -3298, -3281, -3262?\nAnswer: -3241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2423944?\nAnswer: 2, 19, 37, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2 (c) -0.3 (d) 786\/125 (e) 5 (f) 150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4310415 and 3.09.\nAnswer: -4310411.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*f**2 + 16*f**2 + 18*f**2 + 20*f**2 - 103*f**2 + 18*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -82165 and 1439305.\nAnswer: 1357140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:25 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 5) in base 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -39*a - 41. Let q(x) = 20*x + 21. Let r(i) = 4*k(i) + 9*q(i). Let u(y) = 1. Let l(j) = r(j) - 2*u(j). Differentiate l(p) wrt p.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3891 = 9*g, j + 81*g - 1282 = 83*g. Calculate the greatest common factor of j and 3703.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (21 + (2 - 4))) + (28 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 - 4*y**2 + 3*y + 10. Is f(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 18*j**3 - 42*j**2 + 43*j - 29. Is n(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*c + 4*h, 121*c + 5*h = 123*c + 14. Solve -4*v - c*a + 1 = -0, -3*v - 9 = -a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*v = 5003, -5*v = -k - 432 + 5449. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(-3)\/(-3)*1. Suppose 4*m = 8*c - h*c - 569, 763 = 4*c - m. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 5dc4?\nAnswer: 5dc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 549894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4*p + 2*n**4 + 1159*n**2 - n*p - 5*n + p - 1106 wrt n?\nAnswer: -24*n**2*p + 24*n**2 + 2318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153389.\nAnswer: 157, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16764 = -5*x - 6*x - x. Calculate the remainder when x is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2314.461 kilometers to meters.\nAnswer: 2314461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -1 (c) 14 (d) -21 (e) 2\/5 (f) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53829, -107649, -161463, -215271, -269073, -322869?\nAnswer: -376659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 25 + 11 = 0. Solve -r = 4*l - 2 - 4, -5*r = -4*l + b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/11 or 1\/2?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 7*y + 4. Let n be (-36)\/(-15)*(-10)\/(-4). Let x be p(n). What is the greatest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2881 is divided by 388.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 - 28*v - 4704\/13.\nAnswer: -2*(v + 14)*(v + 168)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 86\/198 - 5\/(-5) and 133\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60354812 divided by -30177406.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 409*v**6\/10 - v**4\/12 + 885*v**2\/2 - 47*v. Find the first derivative of g(n) wrt n.\nAnswer: 4908*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 626, 1588, 3196, 5450, 8350, 11896, 16088?\n\"Answer: 323*j**2 - 7*j + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1008287912 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((98\/168*(-6)\/21)\/1)\/(-2)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/17 or 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532d6 (base 14) to base 2.\nAnswer: 110001000010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 g when four letters picked without replacement from {b: 6, u: 9, g: 4}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -929*q + 280. Is m(-23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -103. Let x be r + (-2 - (7 + -3)). Let j(w) = 2 - 2*w**2 - 6*w + 3*w - w. Let n(t) = -2*t**2 - 5*t + 2. Determine x*j(v) - 4*n(v).\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9*(-21435)\/8574.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**8\/560 - w**6\/40 - w**3\/3 + 7*w. Let v(u) be the second derivative of s(u). Find the third derivative of v(t) wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odxxkdd. Give prob of sequence ddx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x - 143736 = -30*x. Let c = x - -479181\/40. Find the common denominator of -41\/20 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4233*i + 12725. Calculate n(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3689569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1020)\/(-22 + 10) - 3 and 5\/((-15)\/(-24)) - -2.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j = 21. Suppose -2*r - 445 = -j*r. Suppose -4*t = 9 - r. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771115027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -23, 6, 3, 10 in ascending order.\nAnswer: -23, -2, 3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 187*a + 372*a - 183*a as p*a + k and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyi when three letters picked without replacement from xgiyuvv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 218*k + 389 - 1261. Let g be (1 - -1)\/((-30)\/25). Which is the smallest value? (a) -10 (b) g (c) -5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 4) in base 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a - 4. Let y(u) = -a + 1 - u. Let w(t) = 2*t. Determine w(y(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1749, 3506, 5279, 7068, 8873?\n\"Answer: 8*y**2 + 1733*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 2 - 2*i + i. Let c(b) be the third derivative of 1\/6*b**3 + 1\/24*b**4 + 0 + 0*b - 35*b**2. What is -c(w) - f(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h - h + 0*h)*(-h**2 + h**2 - 2*h**3) + h**4 + 3*h**2 - 3*h**2)*(186 - 99 - 99).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 463 + -2791?\nAnswer: -232b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 787, 1583, 2379, 3175, 3971?\n\"Answer: 796*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 406 - 341. What is the highest common factor of n and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 271 - 272. Which is the fourth biggest value? (a) 32 (b) 2\/5 (c) 3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104787\/37 or -2831?\nAnswer: -104787\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + 1*2*sqrt(85) + sqrt(85))*-4)\/(sqrt(25)\/(sqrt(20)*-2 - sqrt(5))).\nAnswer: 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (339 - 512) + 259 - ((-2 - -2) + -9)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 + 19*y**2 + 2*y + 95. Give r(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccycayaacyyuaucucau.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16060, 16067, 16086, 16123, 16184?\nAnswer: 16275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11595060 divided by -4?\nAnswer: -2898765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5573 + 50107\/9. Let z = o + 532\/99. Calculate the common denominator of z and -5\/17.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16200 - 16194. Let q = -4 + 4. Put d, 5, q in ascending order.\nAnswer: q, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -7. Let g(t) = 2*t + 2. Let h be g(m). Let w(d) = 5*d**2 - 1 - 2*d**2 + 2*d - 2*d**2. Determine w(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1666 + 1666 - 2*g**2 + 18*g in the form v + a*g + r*g**2 and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -141f8 (base 16) to base 3\nAnswer: -11012001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*z - 21, 4*z - 2*z + 10 = -2*w. Let t(f) = f**3 + 7*f**2 - 11*f - 10. Let q be t(z). Solve 0 = -3*n - 5*o - 16, -8*o - q = 3*n - 4*o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 25. Let n = 11 - w. Let t(d) = -d**3 - d**2 + 2*d - 2. What is t(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 - 8*a**2 - 4*a + 5. Let w be b(3). Solve -14 + 8 = -w*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/121 + 235\/847. Factor 2\/7*s**2 + o - 4\/7*s.\nAnswer: 2*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(78) - sqrt(78)))\/sqrt(6) + -2.\nAnswer: -3*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*p**3*y**3 + 58*p**3*y + 5*p**2*y**2 - 29*p**2 + 2*p*y**2 - 24288*y**3 wrt y.\nAnswer: -78*p**3 - 145728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -13861 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12590253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1372, 5555, 12542, 22339, 34952, 50387, 68650, 89747?\nAnswer: 113684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6484537614?\nAnswer: 2, 3, 23, 41, 1146083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 471*x - 281*x - 248*x - 2*x**2.\nAnswer: -2*x*(x + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 14 = -79. Calculate the remainder when n is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**4\/12 + 12*v**2. Let w(f) = 129 - 7*f - 129. Calculate k(w(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 132014 = -5*f - 13*n, 3*n + 52811 = 2*f. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 n when four letters picked without replacement from fppfpnfpff.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v**2 + 0*v**2 - 3*v**2. Let i(o) = -2*o**2. What is s(i(z))?\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 6*c + 72. Suppose -7*j = -5*j - 14. Suppose 0 = 3*m + 13 - j. Is c >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 32 - 98 + 5*o - 183 - 2*o.\nAnswer: 3*o - 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/6 - n**2 - 7*n\/6 = 0. Calculate n.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c. Let q(g) = -502 - 500 - 39*g - 495 + 1497. Determine q(b(t)).\nAnswer: -117*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*((sqrt(143) - sqrt(143)*4)*5)\/(-3*sqrt(66)\/sqrt(6)).\nAnswer: -4 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40085 is divided by 95.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014282826325 to 5 decimal places.\nAnswer: 0.01428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.08, -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 12*p + 29. Let y be c(3). What are the prime factors of (-20 + 21)\/(y\/3098)?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, g: 5}. Give prob of sequence ooo.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 49444752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 23, 28, 33, 38, 43?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.5 (b) -0.03 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1\/1010065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yki when three letters picked without replacement from {x: 4, i: 7, k: 1, y: 1}.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/15)\/(7\/(-126)). Suppose 3*i = s*i - 0*i. Solve o = -2 - i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**3 - 7*r**2 - 6*r - 4. Let h(a) be the first derivative of a**3\/3 + a**2\/2 + a - 24. What is -6*h(w) - q(w)?\nAnswer: -3*w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 10. Let r = 11 + c. Let h = 216 + -1942\/9. What is the second smallest value in r, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/33*(-209)\/(-266)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*c = -714*c + 4510 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*j**5 + 8*j**3 - 8*j**3 + (4*j + 3*j**3 - 4*j)*(3 + 2*j**2 - 3).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/3 - -25) + -3. Suppose -2*z + 6*z - n = 0. Let h(v) = -v**2 + 7*v - 5. Let y be h(z). Solve -y = -u + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526812 less than 526808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -342 + 335. Let d(h) = -3*h**3 + 5*h**2 - 15*h - 18. Is d(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.51 + 23.49. Let v = -25 + n. What is the nearest to v in 0.5, 0.1, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1548664.\nAnswer: 2, 13, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 19 = w, -n = -6*w + 5*w - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 3, i: 6, r: 3}. What is prob of sequence jjfr?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*9\/78)\/(((-378)\/364)\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2807*c - 38750. Determine y(14).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 11:08 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -381*g + 20173. What is v(53)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 13\/24*c**4 + 0 - 1\/60*c**5 + 0*c - 8*c**2 - 3*c**3. Let g be o(9). Calculate the highest common divisor of g and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/325, -2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 4, n: 3}. Give prob of picking 2 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0*c**3 + 0 + 6*c + 0*c**4 - 5\/2*c**2 + 1\/4*c**5. Differentiate y(p) wrt p.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)*p*p\/p**3*p)\/(p\/p**(-2)*p*p)**(2\/35))\/((p**(-2\/7))**(-2\/135))**42 assuming p is positive.\nAnswer: p**(-461\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 2807*k - 110669. Calculate s(-40).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*o**4 + 18*o**4 - 31*o**4 + 566*o**5 - o**4 - 1628*o**5 + (3*o**2 + 0*o**2 - 2*o**2)*(-2*o**3 - o**3 + o**3) + o**2 - o**2 + o**5.\nAnswer: -1063*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 204?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let m(b) = -b**2 - 6*b. Give 5*m(w) - 30*q(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -583, 5 in increasing order.\nAnswer: -583, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 1:02 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -39*q - 5. Let w(y) = 44 + 38*y - 123 + 24 + 59. Give -2*g(x) - 3*w(x).\nAnswer: -36*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 403021138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -u - 18. Calculate the remainder when 38 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:14 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000049854 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -49901.8383 rounded to the nearest 10?\nAnswer: -49900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29299*c**4 - 1859*c**2 + 3*c.\nAnswer: -703176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*y + 42 = 0, 2*n + y - 150 + 142 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f**2 - 171*f**2 + 41*f**2 + 43*f**2 + 53*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, -13142, -4, -0.4, 4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.2. Let r(w) = -3*w**2 - 33*w + 15. Let p be r(-17). Let i = -1167\/4 - p. What is the nearest to 0.2 in -3, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/93*49\/((-173264)\/102)\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 62\/3 + 2 + 4\/(-6). Solve -6*h = j - 34 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, n: 8, u: 7}. What is prob of sequence uy?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1211324 - 1?\nAnswer: 1211323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 15, -1\/1307, 3, -4\/7 in decreasing order.\nAnswer: 15, 3, -1\/1307, -4\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313797885.\nAnswer: 3, 5, 20919859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -6*d + 5*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1470*o - 20. Let d be h(4). Let q be d\/70 + 2\/7. Let s = 100 + q. What is the highest common factor of 32 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6781400 rounded to the nearest 10000?\nAnswer: 6780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 7*t**2 + t + 9. Let a be q(-7). Let x = 60 - 59.9. What is the closest to a in 0.5, 2\/31, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-5)\/4*3. Let s = 17 - c. What is the first derivative of -2*w**4 - 3 - 6*w**4 + 2*w**3 - s*w**3 wrt w?\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4697274 divided by -6\nAnswer: 782879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -20*h + 1 - 13*h - 7 + 10*h. Let a be y(-2). Suppose 5*g - 5*p = 40, -2*p - a = -3*g - 12. Solve -x - 1 = 2*j + 4*x, 3*x - g = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*s + 3*s. Let m(a) = a**3 - 7*a**2 + 9*a - 15. Let j be m(6). Solve j*h = -7 - s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(228) + sqrt(228)*-2) + sqrt(228))*-1)\/(5*1*sqrt(972)).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in 2\/31, 556, -7\/4, -1\/7, -18?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2173 + 2175. Let h = -0.7 + 0.5. What is the closest to -0.2 in -4, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((364\/(-26))\/56*186)\/((-8)\/(-16))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -97b64 (base 13) to base 2\nAnswer: -1000010111111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 23*n + 7. Let v(k) = -70*k - 19. Let g(b) = -8*a(b) - 3*v(b). Let o be g(-5). Let p = 178 - o. Is p a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1456\/118)*1218\/861. Let m = 4\/533 + c. Find the common denominator of -53\/14 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/18 - ((-30)\/270 - (-266)\/(-36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(-4*k**4 - 9*k**3 + 9*k**3) + 3*k**4 - 2 - 4*k**4 + 2*k**4.\nAnswer: -7*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 5. Let p be s(1). Suppose 2*h - 228 = z - 0, -p*h + 450 = -5*z. List the prime factors of h.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33983 at most 33984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13076, 0, 2, -3, -4, -0.4.\nAnswer: -13076, -4, -3, -0.4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (8 - -84)) + 12 - -31?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 49*v + 528. Determine k(32).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-9652)\/28 + (-16)\/56. Put -3, 3, 2, b, -4 in ascending order.\nAnswer: b, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4013 + 4352421?\nAnswer: 4356434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4*v - 4 = 0, 2*v = l - 49 + 33 + 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/21 - 106*p**4\/21 - 32*p**3 - 1304*p**2\/21 - 736*p\/21 = 0 for p.\nAnswer: -46, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**2 + 48880*x + 195456 = 0.\nAnswer: -12216, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11144, 22286, 33428, 44570, 55712, 66854?\n\"Answer: 11142*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7864*q**2 - 3990*q**2 - 6*q - 3981*q**2 in the form f + t*q + p*q**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, -5, -25, 3.\nAnswer: -25, -5, -2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264210 is divided by 2239.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**2 + 2 - 2)*(-2*a**2 + 3*a - 3*a)*(-1 + 3 - 4) in the form c*a**2 + w*a + v*a**3 + z*a**4 + d and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1129 = 5*n, n + 949 = -2*t + 3251. Does 82 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + t**2 - t. Let j(w) = -8*w + 8*w**2 + 8*w**2 - 17*w**2 + 6*w**3 + 0*w**2 + 5. Let g(s) = -j(s) + 5*r(s). Give g(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*y = -1572*y + 33609 - 169 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11644.766 - -11634. Let n = 0.034 - m. Round n to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m + 117. Let l be s(-27). Let v(n) = -5*n. Let g(h) = -9*h. What is l*v(p) - 4*g(p)?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -21822418?\nAnswer: -2\/10911209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 - (0 - (5 - 12 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*2 + 2*sqrt(42)*2)\/((sqrt(48) - (sqrt(48) + sqrt(384)\/(sqrt(32)\/sqrt(4))))\/sqrt(8)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1920 and 264600?\nAnswer: 4233600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*14\/28)\/(60\/230)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*g - 224*g + 3*r - 1 + 16 = 0, -14*g - 5*g + 2 = 4*r - 31 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74414297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18358*k**3*r**2 + 2784*k**3 + 2*k**2*r wrt r?\nAnswer: 36716*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-1\/3))\/(r*r*r\/(r*r**3)))\/(r**(-2\/7))**21)**(-2\/77))**(13\/4) assuming r is positive.\nAnswer: r**(-325\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44256177?\nAnswer: 3, 7, 73, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 2256.77624879.\nAnswer: 2256.57624879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 6*y - 3*y)*(0 - 2*y + 0) + 0*y**2 + 0*y**2 + 2*y**2.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*((-5*sqrt(2)*-4)**2 - sqrt(2)).\nAnswer: -10*sqrt(2) + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - u + 3. Let s be q(6). Let l = 101 - s. What is the remainder when l is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrddreteeddw. Give prob of sequence te.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2. Let s(n) = 472*n. Give q(s(f)).\nAnswer: -445568*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 39*m. Suppose -22*o = -4*o - 3474. Let q(i) = -385*i**2 + o*i**2 + 193*i**2. Determine q(n(f)).\nAnswer: 1521*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 305, 306, 307, 308?\n\"Answer: s + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1029))\/sqrt(3) + (-2*sqrt(175) + -2)**2.\nAnswer: 26*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 37*w**2 - 8*w - 7. Let i be t(-1). What is the second derivative of i*n - 5*n + 40*n**5 + 11*n**5 wrt n?\nAnswer: 1020*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 83247.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n + 1 - 18 + 18 - 30 + 22 + 220*n - 197*n - n + 0*n - n + (3 - 3 + 2)*(n + n + 0*n) - 4*n + n + 5*n to p + i*n and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2522331435 + -4?\nAnswer: 2522331431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(2793) - sqrt(2793)) + (-6*sqrt(2793)*-2 - sqrt(2793)))\/(4*-3*sqrt(3) + sqrt(3) + 6*(sqrt(21)\/sqrt(7) - sqrt(3))).\nAnswer: -28*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 6:44 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4698 divided by -2?\nAnswer: 2349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1260252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/79158516 and 71\/48?\nAnswer: 316634064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Which is smaller: -0.6 or w?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**5\/60 - n**4\/24 - 7*n**3\/6 + 2*n**2 - 5*n. Let o(q) be the first derivative of t(q). Is o(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82489 - 50149. What are the prime factors of p?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) 2\/9 (b) -3\/8 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -0.096?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(144) - sqrt(144)*-3)*-4 - sqrt(144))*6)\/(sqrt(132)\/(sqrt(11) - sqrt(11)*-5)*-3).\nAnswer: 1632*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(425)*2 + sqrt(425) + -3*(sqrt(1088)*-1 + sqrt(1088)))**2.\nAnswer: 150*sqrt(17) + 3850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:52 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-7) - 6\/(-21). Suppose 2*s + 3*l = t + 4, 0 = 3*l + 3. Solve 0 = m - s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:57 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 10 = 2*r. Let f(s) = s**3 - 5*s**2 - 7*s + 6. Let u(o) = o**2 - 1. Let k(w) = f(w) + 6*u(w). Is k(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millisecond in microseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.82 and -9.9?\nAnswer: -186.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -4*v**7\/21 + v**5\/20 - 26*v**4\/3 + 47*v**3 - 5*v**2\/2 + 101*v + 8. What is the second derivative of b(j) wrt j?\nAnswer: -160*j**3 + 6*j - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**36*(u**(-2\/7))**(11\/4) assuming u is positive.\nAnswer: u**(-1019\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1, -18, -3 in decreasing order.\nAnswer: 1, 0, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fog when three letters picked without replacement from {g: 4, f: 7, o: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/17 + 21\/34. Let x = 1200453.6 + -1200454. Which is the smallest value? (a) k (b) x (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 9. Let f be w(10). Let d(m) = 4*m - f*m + 6*m. Let j(t) = -t. Give j(d(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.015328 - -0.014. Round h to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from -55168.\nAnswer: -55167.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -141, -312, -549, -852, -1221?\n\"Answer: -33*x**2 - 6*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 5) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1 + p**2 - 7*p - 3 - 2*p**2. Let x = -2 - 3. What is y(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2. Let i(p) = -7245*p**2. Determine f(i(d)).\nAnswer: 157470075*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 5*i + 3*i)*(35*i + 8*i + i) + 2 - 27 + 78*i**2 + 25 as a*i + b + j*i**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 + 28\/(-30). Suppose -47 = -4*l - 3. Let w(h) = -h**2 + 11*h - 1. Let i be w(l). Put -5, i, n in increasing order.\nAnswer: -5, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 4, a: 6}. What is prob of sequence la?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxf when three letters picked without replacement from {f: 1, i: 2, w: 5, q: 7, x: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 29 - 2 + 5 + 2 - 1 + i. Let n be z(-18). Let q be ((-2)\/((-4)\/6))\/1. Solve -q*h + 2*h = 5*t - n, -5*t = -2*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -6, -2\/9, 173?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a + 260 = 42*a. Calculate the greatest common factor of a and 3490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -242\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8285 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.2 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -81, -155, -249, -369, -521, -711, -945?\n\"Answer: -t**3 - t**2 - 50*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 50 = -3*g. Suppose -8 = -5*n + 2. Calculate the smallest common multiple of n and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + o + 157 = 0, 5*x + 4*o + 58 = -728. Let a = 109 - x. List the prime factors of a.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 10:23 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**6\/60 - n**5\/30 - n**4\/8 + n**3\/3 - n**2. Let m be l(2). Suppose -r = q - 301, q - 198 = -m*r + 91. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310071.\nAnswer: 3, 103357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -3 + -5)*(-4)\/8. Suppose 2604 = s*w + 950. What are the prime factors of w?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -31. Calculate the remainder when w is divided by (-9)\/(4\/(16\/(-3))).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*-2 + 2. Suppose -l*k + 120 = -0*k. 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: Let y(i) = 8*i**2 - 5329*i + 21317. What is y(4)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5.3*-0.9\nAnswer: -4.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let n(b) = -11*b. Let c(t) = 2*t. Let g(f) = -11*c(f) - n(f). Give q(g(h)).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*a + 17*a + 2938479 + 5298831 = 0. What is a rounded to the nearest one thousand?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l + 80. Let w be l\/(-9) - (3 + 1). Let f be 3 + 5\/(5\/(-3)). Is w <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18 - ((-150995)\/8050 + 2\/(-20)). Let i = 0.2 + -0.4. Let z = 0.1 - -0.9. Which is the biggest value? (a) z (b) m (c) i (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 1. Let y be m(-1). Suppose -5*v = 4*u - 8, -y*v - 1 = -u + 1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v + 4 = 0. What is the first derivative of -5*o**2 - 6 - 2*o**2 - 3*o**v wrt o?\nAnswer: -20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 101*v - 809. Let j be f(8). Which is the nearest to -1? (a) 4 (b) -11 (c) j (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -37*z**2 + 9*z - 18. Let m(y) = -8*y**2 + 2*y - 4. Let i(t) = -9*m(t) + 2*n(t). Let r(x) = 13*x - 8*x + 7*x. What is r(i(f))?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - -63.3. Let a = 1655672.2999888 - 1655675. Let m = y - a. What is m rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(119))\/sqrt(7) - (sqrt(1088) + -2)**2.\nAnswer: -1092 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19261446.\nAnswer: 2, 3, 47, 167, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862980778?\nAnswer: 2, 11, 1013, 38723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2*r + 2*r)*(-3*r**2 + 7*r**2 - 6*r**2).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 + 42 + 42 - 77 - 54*x**4)*(x - 5*x + 5*x + (-6 + 2 + 2)*(-5*x + 2*x + x) + 2*x - 2*x - x).\nAnswer: -216*x**5 - 416*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-28)\/12)*(199066\/(-4425) - -45)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-4 - -1 - (10 + -10)) - -8\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -690*y + 25468. Determine j(37).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -33.\nAnswer: -13\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = -5*y + 4, 0 = 3*y + 2*r - 5. Is (-3 - (-10 - -5))*y + 3249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2445 + -2443. What is the third biggest value in -53, -1\/2, b, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 6. Let u be z(-6). Suppose 5*p - 2*p - 132 = u. What is the remainder when 21 is divided by p\/16*(3 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1*(4 - 2). Suppose 0 = -4*j + n + 38, j = -t*j - n + 12. Suppose -2*h - 24 = -5*h. Calculate the lowest common multiple of h and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -63*a + 578. What is v(10)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 444333824 divided by 1276\nAnswer: 348224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u - 3*u**3)*(35*u - 13*u**2 - 35*u) + u**5 + 0*u**5 + 0*u**5 - 11*u**2 + 11*u**2 + 5*u**5 + (u**2 + 0*u**2 + u**2)*(0*u**3 + 2*u**3 - 3*u**3).\nAnswer: 43*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((-12)\/(-3)) - -6. What is the units digit of 196\/3 - b\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/21)\/t*(t\/((((t\/t**(2\/19))\/t)\/t)\/t))\/t*t*t**(3\/7)\/(t\/(t**(-3\/5)\/t)) assuming t is positive.\nAnswer: t**(-46\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*s + 3613*s = -2394*s - 232560 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2843322 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (50 - (48 - 27))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*z**3 + 51*z**3 + 167*z**3 - 28*z**3.\nAnswer: 275*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -575 = -5*j + 5*f, 2*j - f + 2*f - 221 = 0. Suppose -3*n + 29 = -4*h + 133, 4*h - n - j = 0. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -6\/41, -1, 4 in decreasing order.\nAnswer: 4, 3, -6\/41, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -29*g**3 + 2*g**2 + g - 1. Determine t(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-105)\/(-30))\/(31\/12 + (-7 - -5)). Solve -4*z = 5*g - 7*g - u, -2*z + 5*g + 15 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (2 - (0 - -3)) + 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**2*j**4 - h**2 + 2*h + 2*j**5 + 3*j**2 - 3*j - 77 wrt j.\nAnswer: 36*h**2*j**2 + 40*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 15*h - 9*h - 16 + 22*h.\nAnswer: -6*h - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l + 2. Let v = l - -4. Suppose 5*k + v*y - 11 = 9, k - 2 = -2*y. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + 5 + -1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 1160 + 1020 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, w: 3, b: 8}. Give prob of picking 1 b and 1 w.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 + 280229*v\/6 - 700585\/3.\nAnswer: (v - 5)*(v + 280234)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 11 = 3*c, c + 186 = 4*b + 205. Solve 0 = -5*m, -m = -c*o + 2*m - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 15 = -w. Let i be ((-13)\/91)\/((-8)\/28). Let z = 0.026 - -2.974. What is the closest to w in -1, i, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 514 and 4?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229 + -221.445. Let p = 7.555005083 - q. Round p to seven dps.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 933 and 42.\nAnswer: 13062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5\/2))\/s)**10*s**(1\/10)\/s*(s**(6\/11)*s)\/s assuming s is positive.\nAnswer: s**(-2789\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -420a3 (base 13) in base 6?\nAnswer: -2313511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - k**3 - 3 + 6 + 36 to p*k**3 + v*k**2 + h*k + w and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 37. Let g(b) = -4*b - 3. Let y(i) = -2*i - 1. Calculate v*g(h) + 5*y(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 400 + -456 + 1 + 160 - (-23 - 0)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h - 6. Let l be (-12)\/(-1 + h) + 6. Solve 2*a - 3 + l = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a1 - 1?\nAnswer: 2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g - 160 = -64*g. What is the remainder when 19 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/91 + 160\/1001. Solve 0*b**2 - y*b**3 + 0 + 2\/11*b = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*l - 2*f + 1512, 0 = -5*f + 5. Let g be l\/(-4) + 4\/8. Suppose g = 3*j + 3*h + 42, j - 61 = 5*h. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -2 + 0*m**2 - 17\/2*m**3 + 19\/2*m**6 + 1\/3*m**4 - 44*m + 0*m**5. Find the third derivative of g(p) wrt p.\nAnswer: 6840*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/((-2)\/3). Is -1\/59 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -3\/7 (b) 20.7 (c) -1 (d) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7224 + -2112. What is the greatest common factor of 36 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 2, p: 1, c: 2, e: 6}. Give prob of sequence ic.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -528, -1221, -2222, -3549, -5220, -7253?\nAnswer: -9666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + x**2 - x**2 + (-x + 1 - 1)*(x - 6*x + 6*x) to n*x + k*x**2 + o and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1117\nAnswer: -4\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3027*s - 4*p - 20 = 3031*s, 4*s + 20 = 5*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppvpppp. What is prob of sequence pv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 3:19 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from sfssonsonfenenoe?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 8. Let j(f) = 140*f**2 + 2*f - 67*f**2 - 2*f - 71*f**2. Calculate j(k(h)).\nAnswer: 8*h**2 + 64*h + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, p: 1, c: 5, m: 2, z: 3, w: 3}. Give prob of picking 1 w and 1 p.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 139*f**2 - 560*f - 2888. Calculate c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nev when three letters picked without replacement from {q: 1, e: 4, c: 1, n: 1, v: 4}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32835*q**3 + 14*q**4 - 32835*q**3 + q**2)*(0 + 3 - 2).\nAnswer: 14*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.14234 - 0.78962. Let g = c + 0.65. Round g to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -27*l - 25*l + 60*l. Let h(k) be the first derivative of k**2 + 1. Give h(w(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1\/2, 0.3, 155.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -a + 66, 394*j = 397*j + 2*a - 67 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 19*l. Let h(y) = -9653*y**2 + y - 250. Give n(h(i)).\nAnswer: -183407*i**2 + 19*i - 4750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(1224\/(-6))*-24*30\/(-96).\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 35 = 0, -2*b - 33 = 7732*j - 7727*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -53. Let a(y) = -y - 1. Let k(n) = -11*n - 8. Let l(m) = -76*m - 56. Let i(q) = 20*k(q) - 3*l(q). What is j*i(g) - 18*a(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5069431 = 9*h + 1781524. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -5, 1\/16, 3, 5\/28, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16298727 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2192 + 228682.2?\nAnswer: 226490.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 476293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5418 and -0.3?\nAnswer: 1625.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/8)\/((-3)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18976457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 14*u**2 - 6*u - 86. Let l be p(13). Let g(f) = f**3 + 5*f**2 - 6*f + 5. Let c be g(-6). Let w = 11 + c. Solve l*h - h = w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43927830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6 = 3*a. Find the second derivative of -5*f + 6*f + 17*f + a*f**4 wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 163, 158, 141, 106, 47, -42?\n\"Answer: -w**3 + 2*w + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/11)\/(q*q*q**(1\/19)*q)*((q**30*q)\/q)\/q**25 assuming q is positive.\nAnswer: q**(464\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 7566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -37 (b) 3 (c) -2\/3 (d) -0.5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 5, -4 in ascending order.\nAnswer: -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9129*s - 12540. Let j(w) = -1304*w - 1794. Let v(b) = -27*j(b) + 4*z(b). What is the derivative of v(m) wrt m?\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5)\/(-3) - -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjqe when four letters picked without replacement from {e: 1, v: 4, j: 1, q: 7}?\nAnswer: 7\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -256251 and 3.\nAnswer: -768753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (-5 - -8) - -11) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + m**2 + 23*m**2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mffkuvrm. What is prob of sequence vmf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*u - 45*u + 97*u)*(5 - 4 - 3 + (1 - 3 + 6)*(1 + 1 - 1)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 4*v + 2. Let u be d(4). Let r be (-9)\/6 + 2 + 0. Which is the closest to -1? (a) r (b) -6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -12*f**4 - 4052*f**3 + 87272*f**2 - 28640*f = 0?\nAnswer: -358, 0, 1\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 7. Let r(s) = -5*s + 13. Give -11*b(z) - 6*r(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7938 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 12. Let v = 36919\/4 - 4909959\/532. Let l = 15\/19 - v. What is the closest to 0 in l, b, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2771422, -2771423, -2771424, -2771425?\nAnswer: -2771426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8542, -27902, -80442, -182752, -351422, -603042, -954202?\nAnswer: -1421492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 88553.74s?\nAnswer: 88553740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 18\/13 (c) -1.3 (d) 1.07 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263430.8 months in decades?\nAnswer: 10528.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 m, and 1 j when four letters picked without replacement from gjnzmyjn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -21 (c) 0.011 (d) 0.2 (e) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 110 = 46. Let s(a) = -103*a + 11. Let v be s(2). Let t = d - v. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -3\/4*t**5 - 4*t**2 - 40\/3*t**3 + 1\/24*t**6 + 0 + 0*t + 5*t**4. What is h in v(h) = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -205571, -411137, -616701, -822263, -1027823?\n\"Answer: l**2 - 205569*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 24*f. Let z(x) = 100 - 34 - 41 - 5*x**2 - 47 + 9*x**2. Give j(z(d)).\nAnswer: 96*d**2 - 528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 70*w**2 + 1472*w - 12. Give o(-17).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18416, 73729, 165924, 295001, 460960, 663801?\n\"Answer: 18441*r**2 - 10*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1858187 and 3.\nAnswer: 5574561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1 - 1 + 5*x. Let g(i) = -2*i. Give g(o(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/(x\/((x\/((x**(-1\/4)\/x)\/x))\/x*x)))\/(x\/(x**(-2\/7)\/x))**40 assuming x is positive.\nAnswer: x**(-2505\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*u + u. Let z be (1\/u)\/(2\/(-14)). Solve 5*c - g + 20 = 0, 5*c - 4*g = -z*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 5.1. Let g = -1.021 - -0.021. What is the closest to g in y, -0.05, 2\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01744 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**5\/140 - 3*x**4\/28 + 9*x**3\/14 + 2*x**2. Find d such that j(d) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3.8. Let u = 0.9 + m. Round u to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i - 6. Let r be o(-7). Let v be (-3)\/(3 + (-48)\/r). Suppose v = 4*z + z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*q + 636 - 186, 5*o + 455 = 5*q. Let j = o - -90. Let z(u) = 6*u + 5. Let x(t) = -t - 1. Calculate j*x(l) + z(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5641 is divided by 352.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4*v + 44 = 0. Find the common denominator of 15\/44*6 + -20 + v and 99\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 9 + 6, 4*d + 5*g + 9 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Suppose 0 = -v*n + 87 + 117. Suppose -4*h + n = q, h - 21 = -3*q - 0. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 230910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllj when four letters picked without replacement from {f: 6, j: 2, i: 3, l: 5, u: 1}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/19)\/t*t*t**(-6)*t\/(t\/t**(3\/7))*t**(-2\/13))**(5\/16) assuming t is positive.\nAnswer: t**(-48585\/27664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 211321 (base 5) to base 14\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91b9 (base 12) in base 6?\nAnswer: 201153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6272 is divided by 103?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.546 - 7.16. Round r to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2\/5 - 17696*i - 176944\/5 = 0.\nAnswer: -22118, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 3*w - 1. Let u = -1 + 9. Suppose s + 0*y - y + u = 0, 0 = s + 5*y - 22. Let q be s*2*(-1)\/2. What is h(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86822 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*c + 50. Suppose 0 = 2*v - c. Factor 7*k**3 + 2*k**2 + 4*k**3 - 9*k**3 - 2*k**v - 2*k**4.\nAnswer: -2*k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -2112.\nAnswer: 19008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50338662.\nAnswer: 2, 3, 11, 69337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3684464 is divided by 279.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911464683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) -14\/3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596 = -2*w + 2*m + 300074, 150371 = w + 5*m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:03 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -124. Let r be (-94)\/(-6) + 1\/3. Which is the nearest to 0.1? (a) 0.2 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3362\/(-8))\/(-1*2\/(-8)). Let v = 1113 + y. Let z = v - -1035. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2235, 2232, 2229, 2226, 2223, 2220?\nAnswer: 2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n**2 - n - n - 2*n)*(-29*n + n - 30*n) to j*n**2 + f*n**3 + l*n + p and give j.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(9\/8)*d**(-7\/4)*d)\/((((d*d\/((d**2*d)\/d)*d)\/d)\/d)\/(d**(-13)*d)))**8 assuming d is positive.\nAnswer: d**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5143713486 - 45.8856305614. Let j = -45.931 - 0.469. Let x = l - j. Round x to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 672 + 15*u**2 - u**3 + 672 as o + w*u**3 + a*u**2 + b*u and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -5*n - 5*b, -3015 = -3*n - 2*b - 3068 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 54621023?\nAnswer: -54621035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/901036 and -29\/354340?\nAnswer: 31536260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82117\/9 + -9122. Find the common denominator of 0 - ((-890)\/68)\/5 and a.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1364 - 971. What are the prime factors of r?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 + -139. Let t = -47 + 49. What is the second derivative of -3 + 3 - l*o - 11*o**t + 25*o wrt o?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 12 - (-21 - -1)) + -18*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b + 3. Let t be (-2 + b)\/(5 - 4). Is 84 + -5 - (t + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**6\/30 - n**5\/5 + n**4\/6 + 2*n**3 - 9*n**2\/2 - 109*n. Suppose f(o) = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -14516?\nAnswer: 14521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 11516466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 15*w**2 + 3*w - 6. Let t be d(15). Suppose -t = 2*p - 133. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 56. Suppose -3*k + 4*r - 14 = 0, 0*r = -2*k + f*r - 12. Is k\/(-7) + (-23)\/7 - -202 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3491784 and 252.\nAnswer: 24442488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)\/((-13)\/(-130)). Let u = -19 + x. Calculate the lowest common multiple of 20 and 6 + u - 37\/(-1).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244 - -346. Suppose -6*v + 18 = -m. Suppose -b + 3*s + 2 = 0, 0 = -b - 2*b - 5*s + v. Solve b*w = 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1486390 - 1011311. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 79*p**2 - 51*p - 11. What is the units digit of i(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23\/4*u + 1\/2 - 53\/4*u**3 + 17\/4*u**4 + 57\/4*u**2.\nAnswer: (u - 1)**3*(17*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 35 - (38 - (23 - (3 + -10))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41026, -33090, -19864, -1348?\nAnswer: 22458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17\/(-51))\/((-2)\/6). Put 3, m, 4, -3 in decreasing order.\nAnswer: 4, 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 18*r - 92. Let n be 11 + -3 + -1 + (-1 - 0). Is 4 a factor of l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(2\/(-6)) + 0\/3. Suppose 4*w - 336 = -t*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 5:38 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1693.662 months to decades.\nAnswer: 14.11385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 469. Let g be f(47). What is the greatest common divisor of 625 and g?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3105.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84965*0.09.\nAnswer: -7646.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/156 and 139\/132.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1765.\nAnswer: -2\/1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -3 + -1 + -4. Let t(n) = 3*n. Let g be t(-1). Sort -1, g, y.\nAnswer: y, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.4 + -23. Let y = -10 + -13. Let n = p - y. What is n rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1469 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 6*s**2 + s + 9. Let m be b(-6). Find the second derivative of -666*k + 618*k - 55*k**4 - 4*k**m + 4*k**3 wrt k.\nAnswer: -660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/6))**(-28)\/(d**(3\/8)*d*d\/(d*d*d\/(d\/((d\/(d\/(d*d*d**(19\/4)*d*d)))\/d))*d*d*d)))**(-45) assuming d is positive.\nAnswer: d**(4665\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.63 + 84.63. Let l = d - 82.53. Let z = l + -1.4699826. Round z to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (0 - 2))\/((-2)\/6). Let v(n) = -j*n + 6*n + 3*n - 3*n. Let s(u) = 6*u**2 - 4*u. Give s(v(z)).\nAnswer: 54*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -4*t + u, 133 = -3*t - 2*u + u. Let s = t + 173\/4. Let l be ((-6)\/(-2))\/(126\/(-24)). Which is the biggest value? (a) l (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/6*24\/(-15). Let y = z + -4. Let c be (-4)\/(-14) + (-8)\/(-21). Is c bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1001703 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -339, -514, -689, -864, -1039?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 - 14*p**2 - 13*p**2 + 33*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 12) in base 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 94.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(208) - (sqrt(208) - (sqrt(208) + sqrt(208) + 3 - sqrt(208))))**2 + -3*sqrt(208) + -3.\nAnswer: -1088 - 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46064.48 meters to centimeters.\nAnswer: 4606448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.953 - -0.113. What is i rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/8)\/g*g**(-1\/5))\/((g**(-2\/17)*g)\/(g\/(g**(-4\/7)\/g))))\/(((g\/g**(-1\/3)*g)\/g*g*g\/((g*g*g**5)\/g))\/(g**(1\/3)\/g)**(-9\/2)) assuming g is positive.\nAnswer: g**(93259\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17484162 is divided by 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/331 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:59 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 - 1978 = -44*c. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/37 - 61\/222. What is the closest to -1 in -1, -2\/27, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96659593?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33989*k**2*s*y - 3*k**2*s - 4*k**2 + 13926*k*s + 4*s*y + 9*s - 4*y**2 wrt y?\nAnswer: -33989*k**2*s + 4*s - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 8*r - 21. What are the prime factors of 7\/(r\/(-2)) + 279?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6 + y + 4 - 2*y - 4. Let i be r(6). Solve -4*q = 3*k + 17 - 6, 5*k - 15 = i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 37030?\nAnswer: -37026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**4\/4 - r**3 + 752. Let b(y) = -4*y**3 - 10*y**2. Suppose -q = -6*q - 3*h + 4, -3*h - 10 = -2*q. Give q*b(m) - 7*k(m).\nAnswer: -m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -295.722 - 3.828. Let m = 298 + u. What is m rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbybbbbbybyyyb. Give prob of sequence byyy.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**2 + 16*u + 344. Let s(x) = -221*x. Give r(s(h)).\nAnswer: 293046*h**2 - 3536*h + 344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 204*l**3 - 5099*l**2 - 19*l - 145. Determine m(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -300102?\nAnswer: -300110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88*f*h**2 - 106*f*h - 3*f - 78787*h**2 wrt f.\nAnswer: 88*h**2 - 106*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1 + 68*j**2 - 7*j - 17*j**2 + 7. What is the units digit of k(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 11.8. Let m = c - -0.8. What is the closest to m in -2, 0.3, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, 1318 in decreasing order.\nAnswer: 1318, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0458 + -0.1458. Let u = 6 - 1. Which is the closest to v? (a) 0 (b) u (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230823 is divided by 286.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 8, 0, -0.3 in ascending order.\nAnswer: -0.3, 0, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -328 - 10*(-4)\/(-8). Let r = x - -344. Calculate the remainder when 52 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 2. Let b be j(0). Let q be (-4)\/b + (1 - -86). Is 1\/1*1*q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 46. Let z(y) = -y**3 - 4*y**2 - 3*y + 3. Let q be z(-3). Suppose 220 = b + q*b. Calculate the remainder when b is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z. Let t(n) = n - 1. Let o(m) = 6*t(m) + v(m). Let x be o(-8). Suppose -6*p + x*p + 36 = 0. Solve -4*k - p = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 93998.82km?\nAnswer: 93998820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1636 + -4?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 616, 608, 598, 586, 572, 556?\n\"Answer: -c**2 - 5*c + 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 16 + 128. Suppose -18*l + 20*l - p = 0. Differentiate 26 - 4 - l + 13*c**4 with respect to c.\nAnswer: 52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0224892983 rounded to four dps?\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.23, 0.2, 5, 1\/27 in descending order.\nAnswer: 5, 0.23, 0.2, 1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47592114 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/(m\/(m*m**(-6))*m))\/m)\/m)\/m**(5\/3))\/(m**(-3\/5)*m*m**(-1\/2)\/m) assuming m is positive.\nAnswer: m**(-227\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 2*u**7\/21 + 9*u**5\/20 - 15*u**4\/4 - 51*u. Find the third derivative of w(d) wrt d.\nAnswer: 240*d**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21324101 to the nearest integer?\nAnswer: 4618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 5*x. Let q be (-1)\/((-3)\/(-9)*-1). Let l be -6 - (6\/q)\/(-1). Is 4 a factor of h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(1\/6))))**(-31) assuming q is positive.\nAnswer: q**(-217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 4*v. Suppose -5*n + 31 = -0*n - 3*x, 5*x = -2*n. Let z be p(n). Suppose -5 = o - 0*o, -4*b + 95 = z*o. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49589 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3017470 and 12.\nAnswer: 18104820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - g = 14, 3*v + 2*g + 10 = 4*v. Let p be (-2 - (-10)\/4)*0. Suppose -v*w + 496 - 98 = p. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 80*t**2 + 26*t - 1726. Determine g(80).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24091, -1.72, -4 in ascending order.\nAnswer: -4, -1.72, 24091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 303*x + 307*x - 577*x + 198 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s - 5. Suppose 3*y - 10 = 5. Determine o(y).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*o + 40 = 0. Suppose -433896 + 2565896 = -o*p. What is p rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 95, -5, -4159, 5, 0, -2.\nAnswer: -4159, -5, -4, -2, 0, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-2*m**3 + 3*m**3 + 0*m**3 + (3*m - 5*m + 0*m)*(-12*m**2 - 21 + 21) + (-6*m + 5*m - 2*m)*(6*m**2 - 3*m**2 - m**2)).\nAnswer: -38*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-2\/19)*v)\/v**(3\/11))\/(v**(3\/4)*v\/v**(3\/4)) assuming v is positive.\nAnswer: v**(383\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7612020*t**2*x**2 - 2799*t**2*x + t**2 - 3*t + 25*x wrt x.\nAnswer: 15224040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3859 and 0.4.\nAnswer: -3858.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.359276 to two dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 16.98. Let h = 0.47442 - 0.4544243. Let p = h - o. Round p to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 8*s**2. Suppose -d - 47 + 7 = 5*m, m + 5*d = -8. Let k be a(m). Solve -4*l + l - 15 = k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-147*(-10)\/(-3600))\/((-1)\/(-5)*-2) and 1405\/(-720) + (-2)\/(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 15 + (-18 - 36) + 12?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 750*d**2 - 2259*d + 30. Calculate r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -13*q - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151948814 bigger than 151948815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 13*l - 442 = 0. Let h = l - 32. Suppose 2*x - c - h*c - 26 = 0, 0 = 3*x - 4*c - 41. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*a**4 - 69781*a**3 + 4939048*a**2 - 1405460*a = 0. What is a?\nAnswer: -10039, 0, 2\/7, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-19)\/(-38))\/((-10)\/(-4)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*i - z, -i - 1 - 1 = -2*z. Let d be (i\/3)\/((-1)\/(-1575)). What is d rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11881031*q**4 + 2*q**3 + 5413*q**2 + 382 wrt q.\nAnswer: -285144744*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - c**4 + 1 + (-c + 2*c + 2*c)*(41792*c**3 - 444*c + 206*c + 238*c) to f*c + m*c**4 + g*c**2 + b*c**3 + y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*p + 9. Suppose -4*f - 4 = 4*k, -p*k - 2*k - 19 = -2*f. Sort 1, f, -0.3.\nAnswer: -0.3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5838 or -5819?\nAnswer: -5838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqdqbuukqkubkdbu. What is prob of sequence kbq?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(0*r + 1 - 2*r + 1)*(120 - 467 - 442) as q + c*r and give q.\nAnswer: -3156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 163 - 87 - 78 - 1615*y to the form x + u*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9*2\/(-15*(-384)\/(-30))\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 28*o + 1. Let k be z(-4). Let w = 31 - k. Let g(c) = -2*c**2 - 23*c + 29. What is the remainder when w is divided by g(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -90, -0.2386 in descending order.\nAnswer: -0.2386, -1\/2, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - -111. What is the greatest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 160?\nAnswer: 8480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r + 3. Suppose -28*k + 75*k - 84 = 35*k. Let a(o) = -22*o - 10. Give k*y(s) + 2*a(s).\nAnswer: 5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000539 to 7 dps.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 989*f**3\/3 - 5*f**2\/2 + 95*f - 878. What is the second derivative of b(q) wrt q?\nAnswer: 1978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901*w - 36585 = -98754 for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74 - (-27 + 5)) + 21 - -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-980)*(-4 - -18)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, -5, 17 in increasing order.\nAnswer: -5, 1.8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4924*f**3 - 2903*f**3 - 2845*f**3.\nAnswer: -824*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s - 8*s - 12*s + 21 + s**2 + 14*s in the form c + q*s**2 + i*s and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 422, 429, 460, 527, 642, 817, 1064?\n\"Answer: 2*b**3 - 7*b + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -332, -1136, -2698, -5270, -9104, -14452, -21566?\nAnswer: -30698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.514 and -1056607.\nAnswer: -1056606.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-177)\/(-165) + -1)\/((-11)\/((-605)\/11)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -14, -5, 20, 67?\n\"Answer: g**3 - g**2 - 5*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 9 (c) 316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -369 + 445. Which is greater: a or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -279 + 287. Let o = -16 - -11. Which is the smallest value? (a) -2\/3 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i + 3. Suppose i*h - 47 = -4*m + 5, -4*m + 52 = -3*h. Suppose -2*r = -g + 4*g - 17, m = -g + 4*r. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1533 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**4 + a + 2*a**2 - 3 + 8*a**4 - 4*a**4 - 4*a**3 as v*a + i*a**3 + t*a**4 + n + q*a**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from sfissdflslssf?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 196*x**2 - 1184*x - 7. Calculate f(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 880487037 and 342.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0825 and -1482.7?\nAnswer: -122.32275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/(1\/3). Let h be (-28)\/8 - w\/2. Suppose 4 + 10 = 7*q. Put -1, h, q in ascending order.\nAnswer: h, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 13*n**2 + 23*n + 1115. Calculate i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 9 - 1)*(-13 + 19 + 13)*(2 - 1 + 0)*(p - p + p) to z + a*p and give a.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i + 2. Let t be a(2). Let p be t\/(-3*1) - -1. Let l = 5 - p. Solve l*b = 4*n + 5*b - 12, 5*b = n + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - 10.1. Let l = 8.06 + y. Let z be ((-36)\/(-456))\/(156\/(-208)). Put l, -1\/6, z, 4\/3 in increasing order.\nAnswer: -1\/6, z, l, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 6 + 4 - 5233*g + 2 to the form k + y*g and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7139, -14263, -21387, -28511, -35635, -42759?\n\"Answer: -7124*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than or equal to -0.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95275984?\nAnswer: 2, 5954749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 - 27*g**2 - 101*g - 59. Let a be o(12). Solve 210 = -17*n - a*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134447063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oys when three letters picked without replacement from holhlysohll?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -214, 101 in increasing order.\nAnswer: -214, -3, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/16, -2\/7, -4\/7, 0.2 in decreasing order.\nAnswer: 0.2, -2\/7, -5\/16, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 52*c. Let j(s) = 121*s**2 + 2. Determine m(j(o)).\nAnswer: 6292*o**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 3765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrhq when four letters picked without replacement from qerqheqrwrqhrqqe.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 3. Let m(b) = b + 4. Let p(q) = -7*m(q) - 6*z(q). Let r be p(-9). Does 9 divide (0 - r)\/((-3)\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 514416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -128298 divided by -2?\nAnswer: 64149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33330.\nAnswer: 2, 3, 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 16) in base 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90432878?\nAnswer: 2, 137, 330047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, y: 1, h: 6, f: 1, c: 2, q: 4}. What is prob of picking 1 b and 2 h?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*i + 957*i + i**2 - 486*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r - r)*(1 - 3 + 1)*(-2*r + 2*r + r**2).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/12)\/((15\/(-3))\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/7*(-2)\/104*-2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63.5*-0.86.\nAnswer: 54.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 41 = 4*o + 5*y, 5*o - 2*y - 120 = 0. What is the greatest common divisor of o and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 88 = 3*v - 59, -8*u = -2*v + 3*v - 3*u - 60 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d = -5*v - 26*d - 15, 5*v = -2*d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - -1*sqrt(136))*-2 - ((sqrt(136) - -1*sqrt(136)) + sqrt(136))*-3)\/(sqrt(1568)*1).\nAnswer: 5*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3\/9 - 92580*j**2 - 1110936*j - 3332784 = 0.\nAnswer: -416598, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222 + -21200?\nAnswer: -102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3238 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-3 - 92\/(-8)))*8. Suppose 3*a + 2*n = 5*a + 74, 0 = 4*a + 4*n + 132. What is the common denominator of 13\/g - a\/(-2) and 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18572 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -705, -704, -703, -702?\n\"Answer: c - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 - 59. Let c be (-36)\/m + 4\/(-22). Let g = 17 + c. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 292, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -67. Let m = i + -93. Let n = -57.8 - m. Put n, 1\/2, -1\/2, 4 in descending order.\nAnswer: 4, 1\/2, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/2*(-168)\/9. What is the highest common factor of b and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2794458090?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2. Let o(m) = -3327*m**2. Give b(o(c)).\nAnswer: 11068929*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 164*y + 2461. Let c be a(17). Sort c, 4, 8, 5, -2 in decreasing order.\nAnswer: 8, 5, 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 1 + (12 - 18) + 18.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3744581 divided by -3.\nAnswer: 3744581\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.469 * 5.\nAnswer: 2.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.71 from 5.9.\nAnswer: 6.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 690 divided by -1\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(3 + -2)\/1. Suppose b*c - 69 = -9. Let x be 4\/(c\/677) - (-3)\/5. What is the greatest common divisor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 11*w**2 - 12*w + 20. Let p be h(10). Solve -4*q = p, -2*v + 2*q + 12 = -6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1211*t**3 - 2*t**2 + 12*t. Let g be 16*((-9)\/(-6) + -1). Let b be v(g). What is b rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 + 10 = -5*a, -2*v + 5*a = -4. Suppose 0 = -3*g + 4*i + 8, -5 - v = -3*i. Let d = g - 5. Sort 1, 4, d in increasing order.\nAnswer: 1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 36. Solve 0 = 6*o - q*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 4*u + 8. Let o be n(-6). Let b be o\/(-12) + (-1)\/3. Suppose -h + b = -10. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 3*n - n + 17)*(4589986 + 279*n**2 - 4589986 + n**3).\nAnswer: 2*n**4 + 559*n**3 + 279*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.5152ml in litres?\nAnswer: 0.1605152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196199.7 millennia in centuries?\nAnswer: 1961997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 8 (c) -0.04708 (d) 1\/2 (e) 1\/4 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 + 5*v - 3 + 105*v**2 + 92*v - 957*v**2 wrt v.\nAnswer: -1704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/286 and -99\/4532450.\nAnswer: 49856950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129*u**3 + 33 - 4 - 28*u**3 - 2*u**2 - 205*u**3 - 233*u**3 wrt u?\nAnswer: -1011*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7\/4))**(-2\/99) assuming z is positive.\nAnswer: z**(7\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from toooataddoocddotwt. Give prob of sequence oawd.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4419987?\nAnswer: 3, 11, 13, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/((39\/(-22))\/13). Let s = -44 - i. Solve s = -n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.209409 to four decimal places.\nAnswer: 0.2094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*m**2 - 116 - 197 + 491*m - 551*m wrt m.\nAnswer: 10*m - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-234)\/(-33))*-2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000137362925 to seven dps.\nAnswer: 0.0001374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442582 is divided by 17352.\nAnswer: 8782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/16*45*16\/320?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 0*n**2 + 3\/2*n**3 - 3\/2*n**4 + 0*n + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*u = 17, 161 - 149 = -4*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77148892?\nAnswer: 2, 19, 67, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, p: 1, r: 4, z: 1, w: 1, n: 3}. What is prob of sequence kwn?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -91, -193, -305, -433, -583, -761, -973?\n\"Answer: -z**3 + z**2 - 98*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4*(-238)\/(-357)*21\/(-532).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*u + 27, -3*h + 0 = -5*u - 23. Solve -a = -5 + h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-12)\/20) - 3. Suppose 4*y - 252 = -z*m, -4*y + 252 = 2*m + m. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -184\/77 + 18\/7. Let f = 50957 - 50958. What is the closest to f in 12, -0.2, 1\/3, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 9, -2\/99, 6, 1.8?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3356503*l**3 + 12*l - 39076 wrt l?\nAnswer: 20139018*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 - 6*b**2 + 4*b - 1 - 2*b**2)*(-2*b + b + 3*b).\nAnswer: -4*b**3 + 8*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14485?\nAnswer: 5, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16 - 201621 - 27\/3. Let j be (-49)\/14 - l\/4. What is j rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20555 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -56.59. Let y = 0.01 + o. Which is the closest to 0.1? (a) 0 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyh when three letters picked without replacement from {q: 2, z: 3, h: 4, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 15*i + 3*i**2 + 9*i**3 + 6*i**3 - 18*i**3 + 13.\nAnswer: -3*(i - 3)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11590379 divided by -1?\nAnswer: -11590379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (40 - 2) + (1812 - 1822)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**5\/5 + 63*a**4\/8 + 541*a**3\/6 + 705*a**2\/4 + 225*a\/2 + 5536. Determine p so that u(p) = 0.\nAnswer: -15, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**2\/2 + 4*h - 10. Let k(z) be the first derivative of -z**2\/2 + 3*z - 5. Let l = -14 - -16. Determine l*y(d) - 3*k(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 3*m + 4. Let z be c(-3). Let l be 11\/(55\/140)*2. Suppose -z*f + l = -2*f. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318, -2614, -8846, -20982, -40990, -70838, -112494?\nAnswer: -167926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1392 and 522.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164 (base 12) in base 9?\nAnswer: -2604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.5 (b) 2 (c) -1\/7 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21147.4 grams?\nAnswer: 21147400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 677, 1333, 1977, 2603, 3205, 3777?\nAnswer: 4313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -13*d + 351. Let a be g(27). Let l = -1906\/9 - -212. Let 4\/9*c**2 + 2\/9*c**3 - l*c**4 + a + 0*c = 0. Calculate c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1556 or -1553?\nAnswer: -1553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 1. Let c(f) = 4*f**2 - f - 1. Let x(t) = -c(t) + q(t). Let s(w) = -w + 1 - 1. Calculate s(x(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**6\/5 + 7*i**2\/2 - i - 13. Let j(p) be the first derivative of x(p). What is the derivative of j(g) wrt g?\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25363836.\nAnswer: 2, 3, 704551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150729504 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/10 (b) 5067135 (c) 5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**6\/90 + w**4\/6 - 5*w**3\/3 - 7*w**2. Let k(a) be the first derivative of t(a). What is the derivative of k(j) wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 987*u - 16 = -992*u, 10 = a + 2*u for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 333512 = -y - 15667, -5*y = -5*d - 397295. Let i = -12396025\/156 - d. Let k = 2\/39 - i. Which is the second smallest value? (a) -2 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1230038298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -144 + 236. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lllllllhhhl.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 21 + 15. What is the tens digit of (-66)\/4*6\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*d = 25*d + 4147 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 42\/20947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + d**2 + 2*d**3 + 2 + 2*d**2 + 2*d**2 to the form k*d**3 + o + a*d**2 + r*d and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 57. What is the smallest common multiple of 88 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**6\/45 - l**4\/18 + 4*l + 4. Let c(u) be the first derivative of k(u). Suppose c(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 7*u + 24. Calculate the common denominator of 15\/8 and (328\/12)\/((-28)\/u).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -4*q - 10, r = 3*q + 11. Let d(x) = 3 - 6*x**2 - 6*x + 2*x**3 + 3 - 3*x**3. List the prime factors of d(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7357243, -7356731, -7356235, -7355761, -7355315, -7354903, -7354531, -7354205?\nAnswer: -7353931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299008 and 1280?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**4\/4 - 8*i**3\/3 + 3*i**2 - i + 2. List the prime factors of x(-9).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**5\/20 - v**4\/3 - 4*v**3\/3 - v**2\/2 + 2961*v. Determine j(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*f + 98*f = 5*t + 11, 5 = -5*f - 5*t. Let -4\/7*z**4 + 0*z**f + 8\/7*z + 4\/7 - 8\/7*z**3 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126567.823 to the nearest one thousand.\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 4940.\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67681 is divided by 151?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t**3 + 27*t**2 + 27*t - 27. Let l(v) be the third derivative of -v**5\/60 - v**4\/24 + v**3\/6 - 51*v**2 + v + 10. Give -27*l(n) - p(n).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/3 or 107.2648?\nAnswer: 107.2648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -3. Let y = 4.5 + o. Let z = -52\/3 - -16. Which is the second smallest value? (a) 2\/13 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558980055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 474894?\nAnswer: 1424682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -216.9356 + 217. Round f to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476*v + 470*v + 24390 = 0. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28118?\nAnswer: 2, 17, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/12 - 7*d**3\/6 + 5*d**2\/2 + 7*d. Let k be z(7). Suppose 51 = k*a - 4. Calculate the remainder when 31 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*l**2 + 27*l**2 + 26*l**2 + 28*l**2 + 34*l**2.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-9 - (-7 - -4))) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040711328 a multiple of 5318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6 = -9. Solve -4*c + q = -7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 68880, 137761, 206642, 275523, 344404?\n\"Answer: 68881*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27578333 is divided by 1770.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 45*i**2 - 76*i - 3448. Give p(-45).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-105))\/(87\/12 + 22\/(-88)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**4*d)**(10\/11))**(2\/41) assuming d is positive.\nAnswer: d**(-40\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 34 = -3*k - 29, -5*i - 21 = k. Let t be ((-40)\/12 - -3)*k. Let w(o) = o - 7. What is w(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v**2 - 65*v - 17. Let l(k) = -30*k**2 + 148*k + 35. Give -9*a(t) - 4*l(t).\nAnswer: -15*t**2 - 7*t + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 31*r + 100. What is j(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/9 or 14\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -14*f**2 + 145210*f\/3 - 2079572\/3 = 0?\nAnswer: 302\/21, 3443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/84*49)\/7. Put 0.2, -5, y, -14 in decreasing order.\nAnswer: 0.2, y, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6559*m*y**2 + 54*m*y + 7*m + 2*y wrt y?\nAnswer: 13118*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 18 + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 260192986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2, -629 in descending order.\nAnswer: -2, -20, -629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3969723, 7939450, 11909177, 15878904?\n\"Answer: 3969727*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -842 + 1112*h**2 + 842.\nAnswer: 1112*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -153*x**5\/2 - 3741*x**4\/2 + 2163*x**3\/2 + 1581*x**2\/2 + 75*x = 0.\nAnswer: -25, -1\/3, -2\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 206 - 200. Suppose -2*g + y + 26 = 0, -b*g - y + 65 = -g. Calculate the remainder when (-49 + -1)\/((-2)\/2) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 20*k**2 - 37*k - 18. Let y be z(-18). Suppose 0 = -2*v + 2*r + 6, v + y*r = 5*r - 9. Solve 7 = 2*f - 5*a, -5*f - 3*a + v - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -1, -170, -80, 5.\nAnswer: -170, -80, -1, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/4 - 0 - (-33)\/(-44). Suppose 0 = -k - 5*a, 3*k = 10*a - j*a. Does 1\/105 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 45*u + 16 = 16. Let d(v) be the third derivative of 0*v**3 + 23*v**2 + 1\/24*v**4 + u + 0*v. Let a(h) = 23*h**2. Determine a(d(p)).\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i + 12*i - 25*i**3 + (3*i + i - 3*i)*(4*i + 4*i**2 - 4*i) - 4*i + 16*i + 1 - 14*i - i**2 + i**3 as f*i + n + a*i**3 + u*i**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*m + 8, 7*f - 3*f + 4*m = -28. Let n(i) = -i**2 - 2*i - 3. Give n(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000116961493 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160581 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*u - 7327 = -95391 for u.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 3*y = -11*z - 8, 13 = -7*z - 6*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.75301977 rounded to 1 dp?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-4))\/(-1))\/(22*1260\/440)?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -2, -1, 1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-1 - 2 + 2)*(d - 3 + 3).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 57. Let p be (-114)\/(-27) - (-4)\/(-18). Suppose -u + p = -0. Sort s, u, 1.\nAnswer: s, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 15 = s. Let u(x) = -6*x + 2. Let m(g) = 5*g - 2. Determine s*m(p) - 2*u(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 7. Suppose -3 = o*t + 2. Calculate the common denominator of t - (2 + (-13)\/5) and -16\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10195*l - 197088*l**3 + 197013*l**3 - 10197*l.\nAnswer: -75*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-6)\/9)*(-12 + 2 + 43). Calculate the highest common factor of 1408 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3271 + 342 = 29*w. Let s = 112 + w. What is the lowest common multiple of s and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from iipiiaiikiwkapipijwp.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkppzzppzz. Give prob of sequence zz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4175 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ec (base 15) to base 3\nAnswer: 22020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18361969 to the nearest integer?\nAnswer: 4285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -3*q + 13, -2*q - 1 + 7 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:37 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(-2 + sqrt(18))**2 + 4) - (-4*-2*sqrt(72) + (sqrt(14) - (sqrt(126)*-2 + sqrt(126) - sqrt(126)))\/sqrt(7)).\nAnswer: -636 + 305*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -0*v + 2*v, -5*q + v = -65. Suppose 161 = 5*i - q. What is the remainder when i is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15481 and 193117?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/20148 and -35\/21804.\nAnswer: 1591692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, s: 2, w: 1}. What is prob of picking 1 g and 1 w?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*f + 1498 = 36198. List the prime factors of f.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20803 is divided by 315?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u. Let c(a) = a**2 + 5 + 5 - 10. Give c(j(w)).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 78 + 18. Let w = g - -12. What is the remainder when 47 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*z - 5 = -1, t + 5*z = -5. Suppose 2*x - x - 6 = t. Solve h + 14 = -4*r - x, h - 16 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11081, -1\/21, 54 in descending order.\nAnswer: 54, -1\/21, -11081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**3 - b**2 - 3*b - 2. Let k be s(-2). Find the common denominator of (291\/k)\/1 + (2 - 2) and (-2)\/5 - 23\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -11*p - 59. Let c = -3829 + 3824. Determine j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2888 and 139498.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*c = -24, -5*c = -3*j - 0*c - 14. What is the second derivative of -16*p + p + 39*p - 30*p**j + 22*p wrt p?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 - c - 1. Let a(x) = x**2 - 7*x + 12. Let r = 27 + -22. Let l be a(r). Let k(n) = -7*n**2 - 2*n - 3. Give l*k(j) - 5*z(j).\nAnswer: j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**3 - q**2 + 13*q - 2. Let x(m) = -7*m**3 - m**2 + 11*m - 2. Give 6*g(f) - 7*x(f).\nAnswer: 13*f**3 + f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*c + 48*c + 82*c + 11*c to the form u + m*c and give m.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 9*i - 12. Suppose 0 = -h + 3*h - 24. Suppose -15*x + 168 = -h. Is 8 a factor of z(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 12:12 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + -5. Let v = -224 + 254. Let t = c + v. Sort t, 2\/5, 0 in ascending order.\nAnswer: t, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2497 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788526567.\nAnswer: 3, 47, 139, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 0, 5 in decreasing order.\nAnswer: 12, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1207, -1453, -1863, -2437, -3175, -4077?\n\"Answer: -82*r**2 - 1125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -5*s**4\/12 - 9*s**2\/2 - 5*s. Differentiate l(t) with respect to t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-8))\/(-7)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -228706.1 and -114.\nAnswer: 26072495.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)*-4 - ((sqrt(77) - sqrt(77)*-5*4) + sqrt(77)))\/(3*(sqrt(448) - (sqrt(448) - (6*sqrt(448) - sqrt(448)) - sqrt(448)))*5).\nAnswer: -sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 2 - 20*t**3 - 11.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -90420 rounded to the nearest 1000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 3*s**2\/2 + 3*s + 6. Let y(p) = -8*p - 8. What is -11*c(j) - 4*y(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -23*o**3\/6 + o**2\/2 - 25*o. Let i be p(-1). Let s be (-1 - i\/(-3)) + -5. Calculate the greatest common factor of s and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6265 + 6265 + 11*y**3.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -36*w. Let o(f) = 13*f**2 - 3*f - 3. Let y(c) = -74*c**2 + 17*c + 17. Let k(u) = -34*o(u) - 6*y(u). Give k(p(h)).\nAnswer: 2592*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117543548.\nAnswer: 2, 2137, 13751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1080 by 3.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 938 and 304984.\nAnswer: 2134888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3*9\/(378\/266) + -15\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 1 v when three letters picked without replacement from {m: 1, u: 2, z: 1, v: 2, h: 2, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2152 + 1496. Is f a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*sqrt(1331)*2)*4 - ((-2*sqrt(1331) + -2 + 1)*6)**2.\nAnswer: -191712 - 2112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeq when three letters picked without replacement from eeqmeewemeemhq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -602*y**2. Let j(q) = 696*q. Determine j(x(h)).\nAnswer: -418992*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 - 859933608?\nAnswer: -859933608.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/606981 and 51\/404654.\nAnswer: 1213962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 - -237. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84203881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15022166)\/(-711) - 4\/18. Suppose 23*p - q = 4*p. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 69*x = -65*x + 130*x + 72, 5*x - 54 = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((17\/9)\/(-17))\/(10\/12)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:47 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/9)*((p*p**(-7\/5))\/p*p)\/p assuming p is positive.\nAnswer: p**(-83\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4*z - 5*z - z)*(10 + 5 - 1) - z + 4*z - 2*z + (6 - 4 - 3)*(-3*z - z + 2*z) + 3*z + 3*z - 4*z + z - 2*z + 0*z to the form p + y*z and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 2*g - 4. Let a(x) = 5*x**2 + 10*x - 21. Let l be (-2)\/(-5) + 28\/(-70). Let w be l\/13 + (-2)\/(2\/(-11)). What is w*y(f) - 2*a(f)?\nAnswer: f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l**2 + l. Let f be b(0). Suppose 0*a - 2*a - 4*y - 34 = 0, -4*a + 2*y - 18 = f. Let r(v) = -v + 1. Determine r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2, d: 6, r: 3, a: 3, e: 4}. Give prob of sequence dd.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2*b**6 + 232*b**5\/5 - 175*b**4 + 40*b**3 + 344*b**2 - 352*b + 1449. Determine a so that g(a) = 0.\nAnswer: -22, -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 743100, 743099, 743098, 743097, 743096, 743095?\nAnswer: 743094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 8*n + 3. Let j be a(8). Suppose -1 - 2 = t. Let k be (-114)\/21 + j - t. Sort k, 3, 8 in descending order.\nAnswer: 8, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2. Let j(h) = -85*h**2 - 25*h. Let g(q) be the third derivative of -7*q**5\/30 - q**4\/6 - 28*q**2. Let a(y) = 25*g(y) - 4*j(y). Give d(a(w)).\nAnswer: -200*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, l: 3}. What is prob of sequence jllj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 7. Let c be a(-9). Suppose 0*n - 5*n + 50 = 0. Suppose 0 = 2*s, -5*u + n + 10 = 5*s. Solve r = -4*q + 4*r - 20, -c*q = -u*r + 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 - 56. Let z = 577 - g. Suppose -14*a + 12*a + z = 0. Calculate the greatest common divisor of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 11. Let c be (-2)\/2 - 3\/(-3). Suppose 6*f - 7*f + 54 = c. Calculate the highest common factor of y and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2\/15, 12, -2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40396283959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 447 = -5*w + w, 0 = w - s - 114. Let x = w - 1245\/11. Let g be 2\/(3\/(-3) - -24). What is the second biggest value in 0, g, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2736) + 1*sqrt(2736) + -2 + sqrt(2736))**2.\nAnswer: -144*sqrt(19) + 24628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 3639.\nAnswer: 2\/3639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11477142.91 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10915646 is divided by 2352?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*w**2 - 5*j - 23*w**3 + w + 43 wrt w.\nAnswer: -2*j - 138*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(1*(-8)\/(-36)). Let y = w + -6. Suppose -2*h - y*h + 290 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2 - 58596*n + 429186402 = 0?\nAnswer: 14649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 101 and -14642.1.\nAnswer: -1478852.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2 - 10828*z - 44858352 = 0.\nAnswer: -2748, 8162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gecc when four letters picked without replacement from {e: 8, g: 4, c: 2}.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 59000\nAnswer: 1180000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 19*p**2\/2 - 27*p + 47. List the prime factors of z(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13028 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:42 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*f*r**3 - 47848*f*r**2 - 29456*f*r - 2*f + 7*r - 6 wrt r?\nAnswer: 198*f*r - 95696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 295950.\nAnswer: 295950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 5*n**4\/12 + 4*n. Let a(l) = -3*l**2. Give a(g(s)).\nAnswer: -75*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*f - 25 - 13 = -0*f - 24, 4*v + 3*f + 22 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**(2\/77)*(l\/((l*l\/l**(-2\/7)*l*l*l)\/l*l*l))**14*(l**(2\/23)\/l*l**(1\/3))**(2\/119) assuming l is positive.\nAnswer: l**(-2228472\/30107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 127*j - 33 - 93*j to y + v*j and give v.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/25 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -399*n + 19154. Calculate y(48).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 32374.\nAnswer: 32374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2398, -2342, -2288, -2236, -2186?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21142346 - 1?\nAnswer: 21142345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 124. Let h = 67 - n. Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 14*d + 16. Let h be m(-1). What is the nearest to 25 in h, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Let f be c(1). Let k be 1\/2 + 36\/(-8). Let s(q) = q**2 + 5*q + 4. Let u be s(k). Which is greater: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 347*y**3 + 6*y**2 - 4*y - 150. Let i be h(-10). Round i to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j + 5. Let d(h) = -15*h + 9. Let v be 0 - ((-4)\/(-18) - (-319)\/(-99)). Suppose 11 = -3*x + 2*o - 8, 5*x = v*o - 32. Determine x*r(i) + 4*d(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 4 + -4 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (59 + -173 - (-14 - 0) - -8) + -12?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(85)*-1*3 - sqrt(85)))\/(6*(sqrt(5) - sqrt(5)*-1) - -1*sqrt(125)).\nAnswer: -20*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 265*j = -263*j + 11, -j + 5 = -2*q. Which is the nearest to 5? (a) -1 (b) -4 (c) 2\/11 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (210\/(-49)*(-4)\/(-16))\/(-12). Let j = o + 265\/168. Which is greater: j or -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 268 + 322 = 0. Suppose u + 8 = 2*w, -3*w + 2 = -2*u - 15. Let g = l + u. Which is greater: -2\/43 or g?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 5. Let o(d) = 6*d. Let c(l) = -9*l - 3. Let t(z) = 3*c(z) + 5*o(z). Calculate 5*r(n) - 2*t(n).\nAnswer: -n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d - d**2 - 1433 + 1433.\nAnswer: -d*(d - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/4, -0.032, 0.5.\nAnswer: -11\/4, -0.032, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38125.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2*c + 41 - 45 = 0, -2*p + 17 = 9*c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + f + 124. Suppose 0 + 2 = 4*g - t, 4*g - 4*t - 8 = 0. Let c be a(g). Suppose -5*m + 359 = c. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.064 in 0.2, 4, 4\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*u = 29, -22*a - 11 = -27*a - 3*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 571710?\nAnswer: -571714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7190*h**3 - 18*h**2 + 588*h + 339?\nAnswer: 43140*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -703700\/11 at most -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 85\/3. Which is the closest to y? (a) 5\/4 (b) -17 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 24*k - 14. Let t(m) = -5*m**2 + 70*m + 42. Let u(h) = 4*t(h) + 11*z(h). Let u(v) = 0. What is v?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 158349785 and 14395435.\nAnswer: 158349785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31993417111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/133 + 244\/1463. What is the nearest to 1\/7 in u, 1\/2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 81, 279, 595, 1029, 1581, 2251?\n\"Answer: 59*t**2 + 21*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25702163*t + 25701961*t + 3232 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40 - 40) + (0 - 1)*-43. Let h = 50 - y. Solve -5*v = -h*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 695.49 + -680. Let z = 16 - s. Let o = -0.5285 + z. Round o to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -106, -290, -560, -916, -1358?\n\"Answer: -43*k**2 + 31*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -47*v - 1122. What is k(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n + 90. What is a(-31)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 111150?\nAnswer: -555750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 0*d - d**3 - 1 + 21\/8*d**4 + 0*d**2. Determine l, given that n(l) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 397875350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9134?\nAnswer: 2, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 29\nAnswer: -32\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -8*w + 12. Let a(u) = 9*u. Let m be a(w). Suppose -c - m = -3*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16173 + -27187?\nAnswer: -11014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512 and 1408?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 - 1 - d**2 - 3433*d**3 + 1717*d**3 - 15*d + 1714*d**3 to b*d**2 + y*d**3 + p*d + a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -789, -1576, -2363, -3150, -3937, -4724?\nAnswer: -5511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85880*f**2*z**6 + 6*f**2*z - 3*f*z**2 + 11*f + 9*z**2 wrt z?\nAnswer: -10305600*f**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((3 + 1*sqrt(1900))*-5 - (sqrt(171) - (sqrt(171) + (sqrt(171)*1*-6 - sqrt(171))))\/((sqrt(81)*-2 + sqrt(81) + sqrt(81))\/sqrt(9) - sqrt(9)))**2 + -2).\nAnswer: 6450*sqrt(19) + 176770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 5*p. Let z be g(5). Suppose 4*b + 2 = 2*y - 8, z = 3*y - 3*b - 6. Is 1\/12 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46 - 42 + 84)*(-22 - c + 22) as b + m*c and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 381*y - 369*y - 4944. What is the greatest common divisor of y and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 1. Let u be r(1). Let j be (-12)\/(-28) + (-25)\/(-7). Suppose j*q - 7*q + 9 = 0. Solve 3*w = -u - q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b**2 - 6*b - 9. Let j(q) = 6*q**2 - 2*q - 3. Let m(p) = -8*j(p) + 3*u(p). What are the prime factors of m(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*13.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-2))\/((-3)\/3). Let a = 232 + -228. Let h be (52\/16 - a)*t. Solve -i - h = 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**2 + 10*n - 30. Let x be v(-3). Factor -1\/4*q**x - 12*q - 16 - 3*q**2.\nAnswer: -(q + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 7*m**2 + 6*m. Does 9 divide h(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2. Let z(m) = -4*m**2 + 4*m + 2. Suppose -3*j + 15 = -0*j. Suppose -5*q = 2*r - 2 + j, -3 = 2*q - r. Let n(f) = q*z(f) - 6*i(f). Factor n(k).\nAnswer: -2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*c - 16*c + 25*c)*(1 - 1 + 2) + 2*c - 3*c + 2*c to the form s + l*c and give l.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22886562 greater than or equal to 22886577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21704 is divided by 10800.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 16*g + t - 9 = 0, -25 = -5*g - t. What is the closest to 2 in g, 0.5, 31\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/7)\/((-630)\/980)*27\/2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*l + 128*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.3 + -0.7. Let m = 429\/14 + -204\/7. Which is the closest to m? (a) u (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-2) - ((-1 - -7) + 1). Put 0.7, r, -1\/4, -1\/2 in decreasing order.\nAnswer: 0.7, -1\/4, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 4:05 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 216*b**3 + 12*b**2 + 8*b - 2913. Let j(o) = 216*o**3 + 12*o**2 + 7*o - 2908. Let r(f) = 8*j(f) - 7*q(f). Differentiate r(u) wrt u.\nAnswer: 648*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/11)\/f*f*f**3)**(13\/3) assuming f is positive.\nAnswer: f**(598\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*s**2 - 8877*s + 3267.\nAnswer: -3*(s + 99)*(30*s - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4750*x**2. Let m(d) = -2*d**2. What is z(m(a))?\nAnswer: -19000*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.03544 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1662623469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -401669 in descending order.\nAnswer: 2, -3, -401669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -752384294.00000023 - -752384287. Let r = 31 - 38. Let p = r - s. What is p rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29568450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 1:36 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4 + 988*r**3 + 10704*r**2 + 37764*r + 43470 = 0. What is r?\nAnswer: -483, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2411983*0.3\nAnswer: 723594.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 29*u**2 + 55*u - 21. Let i be v(27). Find the third derivative of -9*g**2 - 69*g**i - 7*g**2 + 77*g**2 - g**4 wrt g.\nAnswer: -8280*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20. Suppose 9*w - 8*w = q. Solve -4*v + 6 + 2 = w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 88. Let n(u) = -u**3 - 12*u**2 + 13*u + 2. Let w be n(-13). Let r = 11 - w. What is the greatest common divisor of f and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 133 = m, 2*d + 23 = 2*m + 73. Suppose 280 = 2*j - 3*p, 138 = j + 2*p - 3*p. What is the remainder when j is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i - 54. Let m be (340\/170*(66\/4)\/(-3))\/1. What is b(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*t + 2*c**4 - 1763*c**3*t + 3*c**3 - 3*c**2 + 6*c*t - 2*t - 1 wrt c.\nAnswer: 48*c*t + 48*c - 10578*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (580\/(-95) - -6) + 1719\/(-5510) and 89\/174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4164 and 683910628.\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-nine halves of a second?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 656309 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3275134 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 29205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47411\/4 or 11852?\nAnswer: 47411\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {a: 1, p: 6, j: 3, h: 3}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 128178 >= 128177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -19*r - 13. List the prime factors of h(-8).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.137801 greater than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 + 3 = 0, 0 = 2*z + 4*y - 86. Let u be (24\/48)\/((3\/84)\/(1452\/77)). What is the greatest common divisor of u and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12 = 0, 7*g = 11*g - 10*g + 2*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*y - 11981*m**2 + 3*m*y + 264*m + y - 4 wrt m.\nAnswer: 2*y - 23962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -346, -696, -1044, -1390, -1734, -2076, -2416?\n\"Answer: g**2 - 353*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5009411.\nAnswer: 11, 455401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2202230 (base 8) to base 12\nAnswer: -246020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yasoxolyoyoy. What is prob of picking 1 s and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m - 3*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3\/3 + 669*a**2 - 84100*a\/3 - 90112 = 0.\nAnswer: -2048, -3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -9. Let j be l\/45*3*-3. Let v be j\/(-26) + 6\/(-39). Solve 3*d - 3 = v, -2*t - 1 = 2*d - d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 3. Is (-12)\/n - 567\/(-15) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*((-25*q - 37*q - 59*q)*(2 + 4 + 5) + 0 + q + 0)*(-4 + 1 + 1).\nAnswer: -7980*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8.3. Let i(o) = o**2 - 2*o + 1. Let m be i(2). Let c(y) = -982*y + 3932. Let a be c(4). What is the nearest to 2\/3 in a, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -38380?\nAnswer: 38378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 516 divided by 10995\nAnswer: 172\/3665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48\/5 or -2\/65373?\nAnswer: -2\/65373","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 6580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 449539099\/1485 - 302720. Find the common denominator of n and -59\/270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007657561 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: b\"What is the sth term of 79, 62, 63, 82, 119, 174?\n\"Answer: 9*s**2 - 44*s + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*x + 14, u - 2 = x + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d6d (base 15) in base 2?\nAnswer: 101101011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*-2467224\nAnswer: -17270568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-14)*89775\/(-2700)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (-21 - -11) - -1*3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -373*a**2*r - 80832809*a**2 + 481932*a*r - 2*a + 4 wrt r.\nAnswer: -373*a**2 + 481932*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxaxxxaaxaxxxxxxxxxx. What is prob of sequence axxa?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 120 + 270 = 0. Put m, 2, -4 in increasing order.\nAnswer: m, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 45*m - 52*m = 711 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-355 + 68*p**2 + 355)*(16*p**3 + 22*p**2 - 6*p**3 - 9*p**3).\nAnswer: 68*p**5 + 1496*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 29*h + 101. Determine q(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*h - 264, 0 = 5*m + h - 3*h - 324. Let o = 64 - m. Solve 3*v = -o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 - 10*t + 10*t + (-55*t**2 + 55*t**2 - 21*t**3)*(2*t**2 - t**2 - 3*t**2).\nAnswer: 38*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 497820*i**2 - 897776 with respect to i.\nAnswer: 995640*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 10*n + 1. Let i(x) = 9*x**2 + 31*x - 3. Give 6*i(u) + 17*w(u).\nAnswer: 3*u**2 + 16*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32593, 32600, 32621, 32662, 32729, 32828, 32965, 33146?\nAnswer: 33377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 5:55 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.17 - -3.83. What is the nearest to -0.1 in 2, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + (-28)\/6. Let r = 1 - n. What is the highest common factor of 20 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.146 + -16.354. Let z = -124.5 + j. Let d = z + 140.85. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1085 - 1085. Solve 4*c = 4*s - 12, q = 2*s + 3*s + 2*c + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-100) - (-5)\/(-3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 3)**2 - (sqrt(19) + sqrt(2736) + sqrt(2736)*-1)) + (1 + sqrt(475))*-2*-4.\nAnswer: 99*sqrt(19) + 1917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 32. Let d(l) = 8*l - 154. Let w(x) = 2*d(x) + 9*r(x). Let m(n) = -n - 1. Determine -m(o) + w(o).\nAnswer: -o - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 303011156 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 0, 164, -2, 5, -32 in descending order.\nAnswer: 164, 49, 5, 0, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11762652*i**4*t - i**3 - 59625378*t wrt i?\nAnswer: -47050608*i**3*t - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m + 444 - 1068 = 0. Let z(x) = x**2 + 3*x + 2. Let w be z(-4). Calculate the greatest common factor of w and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7999 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 676 + -674. Solve 0*s = -t*d + 3*s - 11, s - 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30416 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3010057708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 50634 divided by 194\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3947 - -2215. Let r be p\/(-14) + 2\/7. Suppose 0 = 4*x - r + 36. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 152?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2118)\/(-13414) - 6416\/2128.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10614 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l + 4. Let i be x(-6). Suppose 5*a - 25 + 35 = 0. What is the units digit of 1\/a - i\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.021 - 2.979. Is -1\/10 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -10, -20, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -14. Suppose -5*v + 25 = -3*l + 8*l, 5*l = -4*v + s. Suppose v*o = 742 - 2. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182\/(-1911))\/(6\/14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s**2 + 6*s**2 - 5*s**2)*(-18 - 147 - 132)*(2 - 1 + 1) as l*s**2 + m + i*s and give l.\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 2*j**2 - 4*j + 5. Suppose -5*z = r + 3*r + 19, 20 = -5*r - 5*z. Suppose k + 33 = 38. Let q(l) = l**3 - l + 1. What is k*q(i) + r*o(i)?\nAnswer: 4*i**3 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2320213 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (8 - (-13 - -5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -27. Put a, 0, -6 in descending order.\nAnswer: a, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051109.\nAnswer: 449, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n**4\/5 - 15*n**3 + 126*n**2\/5 - 15*n + 12\/5 = 0. What is n?\nAnswer: 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-15)*((-2)\/2)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.014 and 280?\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 132 = -3*n + x, 123 = 4*n + x. Let g = 42 - n. Suppose 2*i - 8 = f, -5*i = -4*f + 3*f - g. Let o(z) = z**3 + 5*z**2 - 6*z - 4. Determine o(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j + 0*j**3 + 2*j**2 + j**3 + 5*j**2. Suppose -5*k + 16 = -k, 2*z + 3*k = 42. Suppose 0 = -r - 2*y, z = y + 4*y. Give x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.25, -5, 427.4, 4?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 331078531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*h - h. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -322550.5 + 322551. Let j = -0.1 - -0.14. Let x = j - 0.34. What is the second biggest value in m, 0.7, 2\/9, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 118.1. What is the closest to x in -2, 4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22345716, -22345715, -22345712, -22345707, -22345700, -22345691?\n\"Answer: r**2 - 2*r - 22345715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 60. Let b be 0 - 3 - (-15 + 40). Let s be (-228)\/b + -4 - 3. What is the smallest value in s, -4, p, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1626 + 4?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 - 3*a**4 + 3*a**4)*(5758*a + 6823*a - 1027*a + 1083*a + 1723*a).\nAnswer: 14360*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5739, 11595, 17451, 23307?\nAnswer: 29163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (113 - (-66 + 175) - (0 + -1)) + 25.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3865?\nAnswer: 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 445*m - 146*m - 2505 - 5126 - 3432 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - ((-14 - -18) + 4 - (-1 - -16))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265586?\nAnswer: 2, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243127.\nAnswer: 37, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*y + 13, 0 = 2*h + h - 5*y + 22. Let c be h\/4 - ((-15)\/(-12) - 5). Solve 2*a = -4*k + c*a + 20, 10 = 2*k + 5*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 550 + -779. Let b = k - -455. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 16. Let y be s(8). Solve y = 3*w, 0 = -3*c + 7*c - 4*w - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 - -2.1. Which is the biggest value? (a) -5 (b) p (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m + 12. Let y be t(-3). Put 5, -2, y, -3 in decreasing order.\nAnswer: 5, y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117))\/sqrt(9) - -1*sqrt(208).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.216626\nAnswer: 0.0216626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55851, -55678, -55505, -55332?\nAnswer: -55159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*x + 53, -3*x + q - 124 = 2*x. Let s = -19 - x. Let z(b) = -b**2 + 3*b - 4*b - b**3 + 1 + 6 - s. Give z(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30257044 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 38 - 3*l - 6 + 4*l - 2*l + 0*l + (-2 + 2 - l)*(4 - 1 + 2) + 5*l + 0*l - 4*l.\nAnswer: -3*l + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 3*w**5\/20 + 2*w**4 + 7*w**3\/2 - 78*w. Factor j(l).\nAnswer: 3*l*(l + 1)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (81 + 17*q - 144 + 61)*(-13*q**2 - 23*q**2 + 8*q**2) in the form t*q + o*q**2 + w + v*q**3 and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2348 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4579548 is divided by 692.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*z**4 + 1691158*z**3 - 14498040*z**2 + 289976800*z\/7 - 276176000\/7.\nAnswer: (z + 34522)*(7*z - 20)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 4*10\/8. Suppose -3*z + 4 = -2. What is the derivative of -4 - z*y**x - 1 + 3 wrt y?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*n - 10, -5*s + 11*n + 22 = 7*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(44) + 2 + -1))**2*-4.\nAnswer: -1620 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**6\/60 - u**3\/6 + 4*u**2. Let l(x) = -9*x**3 - 7*x**2 + 2*x + 6. Let d(w) = -l(w) - 4*n(w). What is d(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 7*o. Determine t(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-1\/5)*q))**(-9\/4)\/((q*q*q**(5\/6)*q)\/q**3) assuming q is positive.\nAnswer: q**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -585\/121 in -5, 0.3, -7, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/915)\/(134*(-109)\/(-109545))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:44 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -209, -489, -879, -1379?\n\"Answer: -55*x**2 - 5*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeo when three letters picked without replacement from {o: 3, e: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0*l - 3*l + 16 - 3*l. Let g(a) be the first derivative of a**2\/2 - 3*a - 9. Let d = 38 + -27. Give d*g(j) + 2*q(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 130345673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from {a: 15, w: 3}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (11 + (-6 + 2 - -6) + 2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-151)\/(14949\/(-132)))\/(-20*(-2)\/186).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bddwwebdwdebdwd. Give prob of picking 1 d, 1 e, and 2 w.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 24*w**4 + 4433*w. Let a(x) = 40*x. What is h(a(g))?\nAnswer: 460800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + o - 5 = 0, 3*h = -o - 0*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (8 + -3 + -16). Suppose 10*k = 45 - h. Solve -2 = -j, -6 = -0*p - p - k*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2990505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 8 = -l. Let p be (-3)\/9*(-4 + l). Let h**4 + 0 + 2*h**4 - 4*h**2 - h**4 + p = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 5*x**3 - 2*x**3 + (4 - 3 + 0)*(3*x**3 - 3*x**3 + 3*x**3))*(9331 - 9331 - 20*x).\nAnswer: -100*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 6:31 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-242))\/(6\/2)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -123, -106, -85, -66, -55?\n\"Answer: -r**3 + 8*r**2 - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4178640 and 480.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 668 - 2951. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -270, -4, 5, 3\/8 in descending order.\nAnswer: 8, 5, 3\/8, -4, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 97813.92 nanometers?\nAnswer: 97.81392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 14, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(-4)\/n)\/n*n))\/n**(1\/6))\/(n\/(n**(-2\/21)*n)*n**(-3)) assuming n is positive.\nAnswer: n**(367\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-6))\/((-19)\/285*-10). Let d(k) = -k - 6. Let x be d(-6). Which is the nearest to -2\/9? (a) p (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*l + 21. Solve l*g = 5*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*j = 35, -6*j + 114 = 2*n - j. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 0. Solve g = 3*s + s, 2*o - 10 = -2*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - w + 4*w)*(631*w + 601 - 601) to t*w**2 + i + h*w and give t.\nAnswer: 1262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.94 + 3.7. Let w = 0.24 + t. Which is the nearest to w? (a) -8 (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/5 - 274*p**4\/5 + 6082*p**3\/5 - 31126*p**2\/5 - 1216*p + 6280 = 0. What is p?\nAnswer: -157, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -2\/21 (c) 0.1 (d) 17 (e) -14911\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (17\/68 + (-178)\/8)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 216\/((54\/(-4))\/(-9)). Let y = n - -21. What is the third derivative of 39*h**2 - 108*h**4 - 98*h**4 + y*h**4 wrt h?\nAnswer: -984*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*v - 12, -i = -3*v + 3 + 1. Is v\/(-2*(-3)\/345) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5125811ml to litres.\nAnswer: 0.0005125811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28124 and 1583132.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 6*o**2 - 5*o - 10. Let u be q(7). Let v = -1 + 1. Suppose -181 = -3*m + 5*k, v = -3*m + m - u*k + 106. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - d. Let m(n) = 3*n**2 - 8*n + 18. Let y(t) = -4*k(t) + m(t). Differentiate y(u) wrt u.\nAnswer: -10*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 687*m**2 + 2*m.\nAnswer: 687*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) 1\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cninn. What is prob of sequence nic?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*h - 30394*h**2 - 709*h - 3493*h**2.\nAnswer: -33887*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9405.\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b - 7. Let u be o(4). Suppose 4 - 2 = -2*y, 0 = 5*p + u*y - 325. What is the derivative of 12 + 69*w**4 + 3*w - p*w**4 - 3*w wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74 and -894179180?\nAnswer: 894179254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20070 and 41670.\nAnswer: 9292410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 7. Let y be s(2). Let a be (3 - -2)\/(0 - (-2 - y)). What is the third smallest value in 2\/11, -0.3, 1\/5, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**2)**(-16)*(p*p**(-4))**35)**(-2\/35))**(6\/19) assuming p is positive.\nAnswer: p**(1068\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 98159285 divided by 161\nAnswer: 609685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 + 160. Suppose -22 = n*o + o. Let a be (-2 - o)*14\/7. Let u(j) = 4*j**2 + j. Calculate u(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29379337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -2*x**4\/3 + 25*x**3\/6 + 1714*x**2. Give l(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97814 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 1:56 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247120*m - 3 + 0 + 3.\nAnswer: 247120*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -10*f - 10. Give j(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 44. Suppose t*s = -s + 5. Suppose -8*d - 9*d + 68 = 0. Which is the third smallest value? (a) d (b) s (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 5, 27 in descending order.\nAnswer: 27, 5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8492 is divided by 274.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3752.6, 1\/3, 4 in increasing order.\nAnswer: -3752.6, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:13 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/(-260) + 1\/4. What is the closest to 0 in 2\/9, 0.01, u?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 4.82091.\nAnswer: -4.52091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2 - 195*w + 5. Let s be y(-39). Solve 40 = -12*p + 17*p + s*q, 0 = -5*p - 3*q + 34 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + -3 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*l**3 + 436*l**3 - 282*l**3.\nAnswer: 685*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjjjmimjmwmmw. Give prob of sequence mmj.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6033.57 rounded to the nearest 10?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from enhndhtndmmn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 32*i**2 - 739*i + 4418. Give c(10).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 2*j**2 + 97. Let y be c(0). Suppose -2*h = 4*q - 148, -55 = -4*q - 3*h + y. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851397392.\nAnswer: 2, 29, 467, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 10*w - 15. Let m be b(6). Suppose -3*c - 6 = -m*c. Sort c, -4, -2 in increasing order.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (2 + 4\/(-20)). What is the nearest to 0 in 0, o, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3\/3 + 3. Let p(x) = 6*x. Calculate p(s(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iliiiiiiiiiiiii. Give prob of sequence il.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0 + 0)*(-4*g + 5*g - 5*g)*(5 - 1 - 6).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v**3 + 33*v**2 + 12*v + 6. Let s(c) = 26*c**3 - 66*c**2 - 22*c - 11. What is 11*l(o) + 6*s(o)?\nAnswer: 2*o**3 - 33*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Let k = -339 + 342. Put k, 3\/5, d in ascending order.\nAnswer: 3\/5, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 - 6*p**3 + 0*p - 1 - 6*p**3 - 11*p**2 - 1 + p to the form l + x*p**3 + m*p**2 + i*p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60789*o + 21103 = -60546*o + 6280 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 10235 and -15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1788 - 1792. Let n = -93 + 142. Does 8 divide n + y\/(1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2747 divided by -4\nAnswer: -2747\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**16*m**(-1\/22))\/(m**0\/(m\/(m**(-4\/17)\/m))) assuming m is positive.\nAnswer: m**(-4791\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (98\/(-98))\/((3\/3)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**3 + 3*h**3 - 4*h**3)*(0*h - 3*h + h) - 64*h**2 - 214*h**4 + 25*h**2 + 41*h**2 to v + a*h**2 + i*h**3 + l*h**4 + m*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 7344701?\nAnswer: -7344706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.7 and -0.043?\nAnswer: 11.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from vkkjkkyjvy?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 3. Let u = t - 7.1. Let i = -50\/3 + 17. Which is the nearest to i? (a) -5 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 20. Let s = -8 - -13. Is s less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -3*f, -8 + 75 = 4*j + 3*f. Let c(k) = -8*k**2 - 6*k**2 - 9 + 14*k + 13*k**2. Let q be c(j). Solve 4 = -q*y + t + t, -6 = 3*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 16544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.6000503 + 28.6. Round c to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - 60936.\nAnswer: -60936.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0 = 3. Let g be 10 - -2*(-7 + 7\/(-2) + 8). Let b(i) = -i + 4. Let w be b(8). Sort a, w, g, 3.\nAnswer: w, a, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.5, 0.168, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 9*t**2 - 4*t + 76. Let a be o(-7). Let g(q) be the first derivative of 0*q + a - 1\/2*q**2. Let i(x) = -5*x. What is i(g(v))?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*q + 153*q = -4*g - 11, -3*g + 5 = -12*q + 8*q - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 - -115. Let c = 23 - s. What is the highest common factor of c and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 12*r**2 - 31*r + 1234. What is b(16)?\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 6 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6176878 to two decimal places.\nAnswer: -2.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9218 times -72044?\nAnswer: -664101592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1307*z + 1337*z + 1889 = 933 - 1504 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -141, -474, -997, -1716, -2637?\nAnswer: -3766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-228)\/(-95))\/((-64)\/800)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 32\/27 (b) -0.1 (c) 12 (d) 1\/7 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1965182.9883 - 1965277. Let o = n + 94. Round o to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.064 smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 4*i + 3. Let g be (-1)\/(-3)*(-21)\/(-1). Let z be a(g). Suppose 5*c - z = 61. What is the remainder when 33 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -3*w + 3, -3*w + 544 = -2*c + 185 + 185 + 170 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/11)*p**(4\/11)*(p*(p**(-2)\/p)\/p)**(-8\/15) assuming p is positive.\nAnswer: p**(118\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/70)\/(150\/(-2625)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + 3*sqrt(216)*3 + sqrt(216))\/(sqrt(432) - (sqrt(432) + (sqrt(432) - -6*sqrt(432)))).\nAnswer: -11*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b**5 + 196*b**4 - 420*b**3 + 188*b**2 + 56*b = 0. What is b?\nAnswer: -1\/5, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 5. Let y = -5 + -3. Let p be u(y). Solve -5*r - 10 = -p*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9*i + 1264 = 12*i. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9290009 is divided by 326?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 810 divide 16360380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46951369*n**2 - 93902712*n**2 + 46951346*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/6)\/(((-6)\/(-20))\/((-25)\/((-140625)\/2295)))?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6730071 rounded to the nearest one hundred thousand?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -84?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -180128 + 180093 + 4*s - 6*s + 5*s**3 in the form d*s + q*s**2 + l*s**3 + z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 1 + 2*l**2 - 5 + 7 - 5. Let u(v) = 1. What is -s(f) - 6*u(f)?\nAnswer: -2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40998 and 5006.\nAnswer: 102617994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59474 is divided by 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 4. Suppose 0 = -4*g - 4 - 4. Let q be (g + 0)*12\/8. Give t(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227335 and 21071?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14679715 - 5.\nAnswer: -14679720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 55*t - t**2 + 70*t)*(3 + 1 - 2)*(0*t**2 + 3*t**2 - 4*t**2).\nAnswer: -2*t**4 - 30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 24 - -11 - (6 - 1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -679153.919 - 1418.4?\nAnswer: -680572.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -67. Let l be (-3)\/(-9) - ((-84)\/m)\/2. Solve l*y - 6 = 3*y + 4*c, -y = -4*c - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, -1, 41, 3, -618 in descending order.\nAnswer: 41, 12, 4, 3, -1, -618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1\/4, -462, -4, 5 in increasing order.\nAnswer: -462, -12, -4, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + (sqrt(1216) + 0 + -5 - sqrt(1216)))*5)**2 + 2.\nAnswer: -2000*sqrt(19) + 31027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*j + 2764395 = 2765560 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27199329 to the nearest integer?\nAnswer: 5215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701997 is divided by 3842?\nAnswer: 3833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12369 and 1235?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 25 = -5*x + 15, 2*x = -5*d + 35. Let t be (-9)\/6*8\/(-3). What is the second derivative of 12*p**t - x*p**4 + p + 3*p wrt p?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -876829*a - 3015. Let t(b) = -2913*b - 10. What is -2*n(z) + 603*t(z)?\nAnswer: -2881*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 810 = 7*c + 2*n, 0 = -c - 5*n + 425. Calculate the highest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41877 - 41878. Let y be 3\/(6\/14) + -2. Suppose 3*l + l = -y*r + 5, 0 = 5*r + 3*l. Which is the third smallest value? (a) r (b) w (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11646, -14180, -16698, -19194, -21662, -24096?\nAnswer: -26490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 847299 (base 11) to base 12\nAnswer: 555113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 123 = 3. Suppose -6 = 6*d - k. What is the third derivative of 0*b**d - 3*b**2 + 6*b**4 - b**2 wrt b?\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*h + 5*h. Which is smaller: h or -0.02?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*c = 8, -b = b + 2*c + 4. Let w = -0.3 - -1.63. Let t = -2.23 + w. What is the nearest to b in t, 0.1, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82784052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 + -198. Suppose 0*a - 78 = -f*a - 4*s, 5*a - 5*s - 135 = 0. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1.28.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/234*(2583 - 2601)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -11*l**3 - 6*l**2 - 19*l - 4. What is z(-3)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**11*z**(16\/9)*z**(-2\/49)\/z**(2\/51) assuming z is positive.\nAnswer: z**(-62242\/7497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21298\/27 + -789. Find the common denominator of y and 28\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -49. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -175, -540, -899, -1252?\n\"Answer: 3*v**2 - 374*v + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2. Let m(u) = 21*u**2. Calculate m(x(i)).\nAnswer: 525*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9602a2 (base 13) to base 12.\nAnswer: -1215315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*u - 58*u + 4 - 27)*(u + 0*u - 2*u) to f + c*u**2 + m*u and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 0*o - 44*o**3 - 2*o.\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -82. Suppose 62 = n*b - b - 2*r, 2*r - 130 = -2*b. What is the greatest common divisor of b and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/7, -20.2, -3 in ascending order.\nAnswer: -20.2, -3, -1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8851999 = -173*d - 1267257 + 1157467. List the prime factors of d.\nAnswer: 7, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-230)\/(-70) - (-14)\/(-49). Let s(j) be the second derivative of 0*j**2 + 7*j - 1\/6*j**f + 0. Let h(m) = 12*m**2. Calculate h(s(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 6 = 0, 3*s + 4*k + 5 + 6 = 9*s - 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - -3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10111111110100010?\nAnswer: 10111111110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((5 - 6) + 5)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 36*k**3 + 2 - 2*k + 4*k - 5*k**3.\nAnswer: -41*k**3 - 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 18}. Give prob of sequence yy.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 104*p + 353. List the prime factors of y(22).\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.164047km to micrometers.\nAnswer: 164047000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*q**3 - 612*q**2 + 612*q**2 + 2*q**3 - 4*q**3 + 0*q**3 + (-5*q + 2*q - 2*q)*(-3*q**2 + 2*q**2 + 0*q**2) - q**3 - 2*q**3 + 2*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6419901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 - 3*r**4 + r**4 + (-5*r**4 + 4*r**4 + 3*r**4)*(-1 + 4 - 4) + 3*r**4 - 4*r**4 + 0*r**4 - r**4 - 4*r + 4*r)*(3*r + r - 3*r).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 o when four letters picked without replacement from {o: 2, a: 8, e: 2, i: 4}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3 + n**2 + 4 - 5. Let w(j) = -j**3 + 8*j**2 - 9*j - 2. Let t be w(7). Let f be (-4)\/t + 2\/(-8). Give a(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k + 29*k + 29*k + 14*k + 24*k - 120*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 384*d - 1 + 1 - 196*d - 190*d. Let f(u) = -2. Let x(m) = -14*m - 28. Let i(r) = 70*f(r) - 5*x(r). Determine i(c(p)).\nAnswer: -140*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732599008.\nAnswer: 2, 7, 7734817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 99424 = -83188 + 110955. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*(9 + -3). Let b(x) = -20*x**3 + 5*x + 12*x**3 + 4 + 6*x**2 + 9*x**l. Let k be 1*1*(-4 + -1). Determine b(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 8*w - 38. Let v be s(-12). Let q(y) = -3*y - 5. Let l be q(-5). What is the highest common factor of v and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3986 and 46?\nAnswer: 91678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52219 is divided by 17384?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 j when four letters picked without replacement from {f: 9, j: 6, u: 2}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from jgjjgjj?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4364302*n**5 - 2541286*n wrt n?\nAnswer: 87286040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660368036 to the power of 1\/2, to the nearest integer?\nAnswer: 25698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -5, -1 in decreasing order.\nAnswer: 68, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -39*y + 468. Let j be k(12). Let s = 1 - 1. Let w(h) = h**2 + 2. Let m be w(s). Solve j = m*d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406005\/4*g**3 - 705*g**4 - 1173195*g - 5\/4*g**5 - 1184375\/2*g**2 - 778410 = 0 for g.\nAnswer: -279, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 109*t\/4 + 105.\nAnswer: (t - 105)*(t - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 + 46 = b. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u**3 - 6*u**3 - 6*u**3 - 11*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: Suppose -d - 16 = -5*d. Suppose d*w + 0*w = 8. Let u(j) = -w*j + 2*j - 2*j. Let t(o) = -5*o. Give u(t(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**2 - 6*g - 11. Let p(s) = -7*s**2 + 5*s + 9. Let v(x) = 6*b(x) + 7*p(x). What is the second derivative of v(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) - ((-33)\/27 - 2). Solve 4*a + 4*r = 32, v*r = 13*a - 8*a - 32 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*j**2 - 8 + 4*j = 0. Calculate j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2565 by 5.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1178 divided by -38.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from {o: 1, f: 1, k: 1, i: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56, -287, -586, -881, -1100, -1171?\n\"Answer: 12*u**3 - 106*u**2 + 3*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 13) in base 15?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 210*g + 206*g + 1287 = 0, -1697 = -4*l + g. Calculate the remainder when l is divided by 212.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.1 + 7.2. Let f = 424.92055 + -427.02. Let m = j + f. What is m rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 2:01 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.33, 42 in ascending order.\nAnswer: 0.33, 8, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 10947, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -27, 2?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -388147*w**3 - 10499*w**2.\nAnswer: -2328882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 plus 0.278?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g - 6. Let l(h) = h**2 + 10*h + 8. Calculate -3*b(z) - 2*l(z).\nAnswer: -2*z**2 + 7*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*j - 9. Let l(i) = -57*i**3 + 1 + 4 + 58*i**3. Let b(t) = -4. What is j*b(s) - 4*l(s)?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**5\/20 - 7*a**4\/12 + a**3\/3 - 4*a**2 + 9*a. List the prime factors of w(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451811 divided by 2.\nAnswer: -451811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((129\/86)\/(33\/8))\/((-780)\/78).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**3 + 2*f**3 - 7*f**3 - 3*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 2\/(2\/275215) + -12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12719\/(-1580) + (0 - -1) + 8)\/((-6)\/15)?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-120)\/(-9) + (-1)\/3. Suppose -o = 3*o + u + r, 4*u - 12 = 0. Let s be (-40)\/o*4\/5. Solve l + 5*y + 10 = 2*y, -s = 2*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 z when three letters picked without replacement from zooaaaozdc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3880859 and 713?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/2, -0.03, 5, 2, -0.008 in decreasing order.\nAnswer: 5, 2, -0.008, -0.03, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -23, 2, 1 in decreasing order.\nAnswer: 2, 1, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 81*x - 1496. Let l = -4 - -18. Calculate the remainder when p(20) is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*j*p*v + j*v**3 - j - 22*p*v + 2*v**3 wrt j?\nAnswer: -17*p*v + v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2071.400035812 - -2071.4. Round z to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/1389 and (-9 + 984\/120)*(22\/6 - -1)?\nAnswer: 6945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1\/9, 5, -0.85 in decreasing order.\nAnswer: 5, 1\/9, -0.85, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 4235034?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 53\/(-4) - (381 + -394)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2)*(-3 + -4). Let c(d) be the third derivative of 5*d**4\/24 + 3*d**3\/2 - 3644*d**2 - d + 2. Determine c(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 11:14 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/77112 and 101\/130032.\nAnswer: 6631632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(192) - (sqrt(3) + 1)*5)**2 - ((sqrt(243) + (sqrt(243) - (2 + sqrt(243) + sqrt(243))))**2 + 1 + -1).\nAnswer: -48*sqrt(3) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {k: 1, x: 1, r: 1, q: 1, p: 1, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.94028mg to micrograms.\nAnswer: 46940.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.63517 rounded to 2 decimal places?\nAnswer: -61.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 303 and -0.233.\nAnswer: -70.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Let h = -680 + 681. Differentiate h + 5*d**3 + d**x + 3*d**4 - 6*d**3 with respect to d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*z - 18 + 17 + 0*z - 5*z**2 - 15*z**3 + 26.\nAnswer: -5*(z + 1)**2*(3*z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**2 - 32*v. Let k(r) = 3*r**2 + 21*r. Calculate -5*d(i) - 8*k(i).\nAnswer: i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 465\/3*81*(-59)\/(-23895)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*t - 13 = -3*o, -t + 5*o - 26 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.9090656 + -7.6090707. Let v = y - 9.3. What is v rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and 0.0655?\nAnswer: -1.7685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a - 7a4?\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Let s = -0.2 - -0.2. Let x = 0.1 + s. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 15*v + 24. Let g be l(14). Let i be 10\/3*(-18)\/15. Let n be i\/g + 18\/(-5). Let s(t) = t**2 + t - 5. Calculate s(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06355978 + -146514.\nAnswer: -146513.93644022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327075184.\nAnswer: 2, 173, 118163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**(-25))*h)\/h**(9\/7))**(-50) assuming h is positive.\nAnswer: h**(8500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 17*i + 111. Let w be x(-5). Which is the nearest to -0.2? (a) -7 (b) -3 (c) w (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) 2\/5 (c) -3 (d) 160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 2*f**2 - 8*f - 27. Let x be s(-3). Solve 9 = -j - 3*p, -5*j + 1 - x = 5*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004150054 rounded to four dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 18*g - 2*g - 10*g**2 - 4*g**2 - 8*g. Let t(i) = -5*i**2 + 3*i. Let j(b) = -8*t(b) + 3*u(b). Let f(a) = 2*a + 4*a - 3*a. Determine f(j(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 3:50 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. Let x = -9.5 - -10. Put x, w, 0.3 in descending order.\nAnswer: x, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 15. Let n be (j\/20)\/((-1)\/(-18)). Let r(x) = x**3 + 8*x**2 - 12*x + 3. What are the prime factors of r(n)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(700)*3 - (-1 + sqrt(7) + -2)))*2.\nAnswer: 2 + 58*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trrrrttrrrtrtrtttt. What is prob of picking 4 r?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 344543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - j - 3 + 4 + 0*j + (-1 - j + 1)*(1325*j + 161*j + 279*j).\nAnswer: -1767*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2907603557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**4 + k. Suppose -5 = -5*f, -2*b + 5 = -f + 12. Let l(g) = g**4 - 18*g**3 - 26*g**2 + 93*g + 100. Let m(c) = b*p(c) + l(c). Factor m(v).\nAnswer: -2*(v - 2)*(v + 1)*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126949711 to the nearest integer?\nAnswer: 11267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 305546323 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*m + i, 36 = 4*m + 5*i. Suppose 0 = -2*f + j - 1 + 5, m = 2*f - 3*j. Suppose 0*p = f*p - 4. Calculate the least common multiple of p and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b*n*w**3 - 4*b*n*w**2 - 13*b*w**3 - b*w**2 + 2*b*w - b - 33*n*w**3 + 1309*n*w**2 - 5*w**3 + w wrt w?\nAnswer: -66*b*n - 78*b - 198*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*p + 33 = 52, -13*p = l - 0*l + 10*p + 101 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 30278146*h\/7 - 60556284\/7.\nAnswer: -2*(h - 15139071)*(h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (-231)\/(-44)) + -10\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1392089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 15440?\nAnswer: 15434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(91)*-5)\/((sqrt(84)\/sqrt(6))\/sqrt(2)) + 1 + -5)**2.\nAnswer: 120*sqrt(13) + 2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 167 + 3*a - 167 as w + t*a and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -695 + 2086\/3. Let m = 2216\/9 + -246. Which is the third smallest value? (a) d (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449, 2305, 5567, 10235, 16309, 23789, 32675?\nAnswer: 42967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5)**47)**(3\/49)\/(f**(1\/9)*f*f**(-2\/3)*f*f**4*f**(-5)) assuming f is positive.\nAnswer: f**(6149\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5\/5 + 10222*g**4 + 4075338*g**3\/5 - 16863614*g**2\/5 + 21296764*g\/5 - 1711920 = 0. Calculate g.\nAnswer: -25475, -84, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o - 4. Let s be p(-2). Let x be 3*(-26)\/s*-2. Is 8229\/x + -1*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1\/7 (c) -9 (d) -0.39 (e) -1\/15 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/3, -2\/7, 2\/9, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7390*q**2 - 7745*q**2 + 15139*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1))**37)**(-22) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-24) + 0)\/((-7)\/6). What is the nearest to -0.1 in 60, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -9*v**5\/4 + 73*v**3\/6 - 22*v + 94. Let g(i) be the first derivative of j(i). Find the second derivative of g(q) wrt q.\nAnswer: -270*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 441 + -434. Let m(w) = w**3 - 6*w**2 - 7*w + 3. What is m(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 49. Suppose 0 = -5*n + 2*o + 197, j*o = n + 6*o - 35. What is the greatest common divisor of 78 and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -167 and -861287694.\nAnswer: -861287861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -392 by 392.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -3*s**6\/40 + 54*s**2. Let a(u) = -4 + 4 + u**3. What is 6*a(p) + c(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-427)\/(-56) + (-3)\/(-4) and -79\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2029 - -2122. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/7)\/s*s\/((s*s\/(s*(s*s*(s*s*s\/(s*s*s\/(s**(-6\/17)*s))*s*s)\/s)\/s)*s*s)\/s) assuming s is positive.\nAnswer: s**(145\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 27*z + 20. Determine u(-25).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 110. Suppose 0 = 5*b - 352 - m. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2159887 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19*c**3 + 7*c**2 + 17*c + 29. Let u(a) = 9*a**3 + 3*a**2 + 8*a + 13. Determine 13*u(j) - 6*w(j).\nAnswer: 3*j**3 - 3*j**2 + 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 169555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3 (b) -10307 (c) 9 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*q + q - 5*o, 4*o = 5*q + 37 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*k - 978 + 978)*(81*k + 89*k - 122*k) + k**2 - 5*k**2 + 3*k**2 to the form z*k**2 + s*k + g and give z.\nAnswer: -1393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 13320331?\nAnswer: -13321000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -263680 - -6?\nAnswer: -263673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5446*j + 27329. Determine b(5).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*2145\/858.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 638.56 + 3.44. Let r = w - 629.12. Let j = -0.12 - r. Is 2\/3 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f + 307. Let c be q(-33). Solve c = -18*u - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1. Let g(q) = q. Let t(i) = i**2 - 2*i. Let n be t(3). Determine n*m(b) - 2*g(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b. Let k = -1 - -4. Let p(n) = -4*n**2 + k*n**2 + 0*n**2 - n**2. Calculate p(c(z)).\nAnswer: -128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 22*p**2 - 23*p + 12. Let b be x(21). Let t = 26 + b. Let m(i) be the first derivative of -2*i**3\/3 - 3*i**2 - i - 1. Determine m(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10 = c, 0*f - 2*c = 4*f - 8. Suppose -5*n + r - f*r = -19, 4*n + 2*r - 14 = 0. Let j(d) = -4 + d + d**2 + n + 1 + 5. Calculate j(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, n: 2}. Give prob of sequence nddd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 7099.7?\nAnswer: -7099.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.6, -2\/23, 3\/5, -3, 1.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 102, -51966, 4, 3 in decreasing order.\nAnswer: 102, 4, 3, -3, -4, -51966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u**2 + 0*u**2 - 9*u**2)*(4*u - 5*u - 2*u - 5 + (0 + 0 + 2*u)*(-1 + 0 + 0)).\nAnswer: -55*u**3 - 55*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 3*c + 11. Let q be b(7). Let x = -173\/3 - q. Sort 0.5, x, -2 in increasing order.\nAnswer: -2, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/(-6) + 4\/6. Let s(b) = 12*b + 2. Let t(a) = -49*a - 7. Let r(c) = -9*s(c) - 2*t(c). Is r(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 123 - 12. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 2, t: 1}. What is prob of sequence ft?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 4095100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-3 - -10) + (-106 - -74)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k\/(k\/(k*k\/(k\/(k\/(k\/(k*k\/(((k*k*k**5*k)\/k)\/k*k))))))))*k)**41*(k**(1\/3))**(-25))**(-1\/13) assuming k is positive.\nAnswer: k**(-467\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3753 divided by -4?\nAnswer: -3753\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*u + 3*a, u - 3*a + 27 = 4*u. Let x be (u - 6\/2)\/2. Solve x = -5*m - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 5.28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -185031271 and 13.2.\nAnswer: -185031257.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4455456940?\nAnswer: 2, 5, 11, 20252077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10345350 by -17.\nAnswer: 608550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133655287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/180 + ((-16)\/(-72) - (-28)\/(-45)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871, -3470, -7799, -13858?\nAnswer: -21647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8290926 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3728440259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 6. Let w be 1*(3 + -6) - -3. Let g(p) = p**2 + 2*p + 6. Let z be g(w). Let m be a(z). Put -4, m, -11 in decreasing order.\nAnswer: m, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, -31217, 2\/15, -25?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 = 2*i. Factor -i*l + 2*l**2 + 7*l + l**3 - 3*l**3.\nAnswer: -2*l*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261262?\nAnswer: 2, 130631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -4\/7, 35, -2\/9, 3\/4, -5 in decreasing order.\nAnswer: 35, 3\/4, -2\/9, -1\/4, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 times 36\nAnswer: -8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose 2*m = -2*n + 24, 4*n - s*m - 2*m - 48 = 0. Let i be (-1)\/((9\/n)\/3). Which is the third smallest value? (a) -0.5 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 952, 900, 848, 796, 744?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -3 + (19 - 14) - 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*u**5 + 7*u**5 + 7*u**5 + (u**3 + 3*u**3 - 5*u**3)*(-2*u**2 - 3*u**2 + 7*u**2).\nAnswer: 35*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 50*g. Let l(z) = 3*z**2 + 2*z - 4. Let n(d) = d + 12 + 35 + d**2 - 49. Let u(t) = l(t) - 2*n(t). Determine b(u(v)).\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/(-52)*((-3)\/2)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 458277 and 21.\nAnswer: 3207939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -54, -183, -436, -855, -1482?\n\"Answer: -7*u**3 + u**2 - u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -236 - -240. Suppose x*v + 2*u - 14 = 3*v, v - 4*u = -16. Solve -4*m + v = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 3:54 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 621, -5, 1, 2 in ascending order.\nAnswer: -5, -2, 1, 2, 621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 12. Let n be (-146)\/t - (-6)\/24. Let s = n + 27. Solve s*p - 4*p = 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(4\/7)*d\/d**(-5)*d)**(-29)\/((d**0*d\/(d\/d**6))\/(d\/(d\/(d**(2\/3)*d))*d\/(d*d**(5\/3)*d))) assuming d is positive.\nAnswer: d**(-1557\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -429\/4*x**4 + 6*x**2 - 4*x**3 + 0*x + 216\/5*x**5 + 8 + 648*x**6. Solve w(d) = 0.\nAnswer: -1\/4, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 2*t**2 + 16*t - 11. Let q be ((-28)\/21)\/((-2)\/(-12)). Let i be o(q). Let y = -118 + i. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2259946*l**5 - l - 37532125 wrt l.\nAnswer: -45198920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/5720 and -38\/77.\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2818486795 to the nearest integer?\nAnswer: 53089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-6)*144\/312. Solve 0 = -4*a - b*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51320 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*z**6 + 0*z**2 + 5*z**2 - 4*z**6 wrt z?\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 14 (b) 5 (c) 186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0859 + -0.0259. What is the third smallest value in x, -0.3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1692658 and 6674?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqjqejljeeeqjeqljlli. What is prob of sequence ellj?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161847, -162036, -162239, -162456, -162687, -162932, -163191?\nAnswer: -163464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f + 4. Let k be y(9). Let c = -31 + k. Suppose -4*p = 3*o - 30, 0*o + 2*o - c = -5*p. Solve -o*t - 12 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w. Let p be 21\/2 - (-1)\/2. Let o(y) = -5*y**2 - p*y**2 + 3*y**2 + y**2. What is d(o(z))?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -6, -9 in descending order.\nAnswer: -6, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7182*h. Let q(l) = 133*l. Give -323*q(k) + 6*s(k).\nAnswer: 133*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djdd when four letters picked without replacement from {z: 3, d: 3, j: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-46299)\/17690 + 13\/5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = 2*h, 3*i - 2*h + 2 = -4*h. Suppose 0 = 4*p + r - 84, 60 = 2*p - i*p - 4*r. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4 = -3*l + 7, 5*l + 4 = -2*u. Let v = 0.278 + -8.278. Put l, -8\/7, v in decreasing order.\nAnswer: -8\/7, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.4, -2\/463, 0, 1584, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.08894 * 0.6\nAnswer: 0.053364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18933 is divided by 9255.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -2, 1 in descending order.\nAnswer: 1, 0, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6 + 11 - k**2 - 4*k - 3. Suppose -3*o + 7 = -20. Suppose 3*f + 0 = -o. Let a(z) = z**2 + 3*z - 1. Give f*a(n) - 2*u(n).\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = 5*k + 32, 111 = -5*c + 3*k. Let s = c - -24. What is the third derivative of 10*x**4 - 2*x**4 + 4*x**2 - s*x**4 wrt x?\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - 0 - (0 - -3). Suppose -715 = -5*a + s, s + s = f*a - 715. Calculate the greatest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 638*y - 581*y + 3 - 12 as j + w*y and give w.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -f - 41. Calculate the highest common divisor of f and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*t + 144, -12*y + t = -10*y - 279. What is the least common multiple of y and 32?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12223685.887 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12450 divided by 8768?\nAnswer: 6225\/4384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*x - 1 = -2*x, -p + 4*x = -2. Suppose -h = 3*g - 56, -2*h + 5*h - 3*g = 108. What is the remainder when h is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 8188356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41627721 to the power of 1\/2, to the nearest integer?\nAnswer: 6452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 4*r + 2*r)*(-4 + 7 + 1)*(2 - 2 + 1) as o*r + q and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148557312 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itt when three letters picked without replacement from iihihiithppthihiih.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/2))**2\/(g**(1\/14)\/g*g**(-1\/7)))**(32\/5))**(27\/5) assuming g is positive.\nAnswer: g**(24624\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17779, -17700, -17611, -17506, -17379, -17224?\n\"Answer: v**3 - v**2 + 75*v - 17854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2805 - p + 2*p - 12*p + 2*p + 8*p to the form q*p + n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 7)*(5*k + 0*k - 4*k)*(-1 - 2 - 2).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2733631*i**3 - 10*i + 6*i**4 - 6*i**2 - 2733631*i**3)*(-2*i + 2 - 2).\nAnswer: -12*i**5 + 12*i**3 + 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -757*g - 16651*g - 20 - 7449*g + 143*g.\nAnswer: -24714*g - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + ((sqrt(68) + -1 + sqrt(68))**2 - sqrt(68)).\nAnswer: -10*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.3397 minutes to milliseconds.\nAnswer: 680382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.768 - 0?\nAnswer: -4.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -34. Suppose 4*d - r - 3274 = r, k*d - r = 2457. What is d rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 12, 4*g - 40 = -5*y - g. Suppose y*b - 466 = s + 1342, b + s = 447. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 17 + (-8 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-8*(-3)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 3, -0.31, -0.03, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3519.64422 to the nearest integer.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/(-14) + -2)\/((-7)\/4). What is the closest to 0.5 in f, -1, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*a = 67*a + 106 + 124 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/22291 or -1?\nAnswer: 7\/22291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(18\/33) - 4. Let p(q) = 2*q**3 + 31*q**2 + 15*q + 7. Let o(i) = 9*i - 5. Calculate the remainder when o(5) is divided by p(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*q + r - 60, -5*r - 135 = 5*q. What are the prime factors of 105 + (-7 - (3 + q\/4))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + (-4 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/30494 and 32\/45741.\nAnswer: 91482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 - 89. Let k(x) = 13*x**3 + 2*x**2 - 2*x. Let y(p) = 25*p**3 + 5*p**2 - 4*p + 1. Let c(o) = j*k(o) - 2*y(o). Find the second derivative of c(h) wrt h.\nAnswer: 90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5 - 5*w + 7*w - 4*w. Let g = -9 - -5. Let s(x) = 2*x - 6. Give g*s(p) - 5*t(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -236*m + 5. Let z(q) = 19244*q - 408. Let g(i) = 408*t(i) + 5*z(i). Calculate g(1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + m + 8, 3*a = -2*a + 4*m - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5772\/20153 + -2\/2879. Do t and -22 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 + 671965*i - 115576131\/4.\nAnswer: -(i - 2687817)*(i - 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/242)\/((-2)\/(-22)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 130 = 6*k - 5*n + 4*n, -2*k + n = 42 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37074, 81638, 126192, 170730, 215246, 259734, 304188?\n\"Answer: -g**3 + g**2 + 44568*g - 7494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1040 and 38774840?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6917*l + 90241 - 14154 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5415712 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: What is 0 + 4\/6 + (-160080)\/(-8280)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -1121\/10. Let o(g) be the second derivative of 0 + 5*g + 1\/60*g**4 + y*g**3 + 1\/5*g**2. Factor o(n).\nAnswer: (n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -12*l**3 - 2*l - 3. Let y(j) = 12 + 2*j - 3*j - 11. Let m(r) = -2*r**2 - r + 1. Let v(a) = -m(a) + y(a). Determine v(p(d)).\nAnswer: 2592*d**4 + 288*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*b = 82, 4*b - 42 = -v + 14. Let r = 3201 + -3056. Let o = r - v. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 2. Suppose 3*o + 1 = 13. Let a(l) = -8*l + o - 5 + 6. Suppose 5*p + 3*k = -44 - 11, 2*p + 22 = 3*k. What is p*f(r) - 4*a(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t - 4*t + 39. Suppose t = -v, 0*w - v = 3*w - 9. What is the remainder when 14 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1433*p**2*t - 10*p**2 - 2*p*t - 10027*t wrt p.\nAnswer: 2866*p*t - 20*p - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:22 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -13*w**7\/21 - 73*w**4\/6 - w**2 + 8*w + 2. Find the third derivative of t(i) wrt i.\nAnswer: -1560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21998?\nAnswer: 2, 17, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 12. Which is the second smallest value? (a) 1\/6 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -17. What is the smallest common multiple of 8 and (-32)\/((k\/(-2))\/((-4)\/(-16)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044965 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17794 and 196226.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + 2a3?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88b (base 13) in base 4?\nAnswer: 112323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -228959 and -1.215?\nAnswer: 278185.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 72 = i. Suppose -116 = -2*y + n + i, 0 = y + 3*n - 64. Suppose 4*z - y = -5*x + 62, x = -3*z + 89. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-76)\/70 - (-12)\/42. Let l = -8 - -4.5. Let q = 1.5 - l. Which is the nearest to f? (a) -1\/2 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekk when three letters picked without replacement from {k: 5, w: 3, e: 11, v: 1}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, l: 3}. Give prob of picking 1 s and 1 l.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*96.87388\nAnswer: -48.43694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50566*k = 50726*k + 3360 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*z - 17528 = 0, -5*c + 5*z + 17531 = 8*z. What are the prime factors of c?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 173305 and 175.\nAnswer: 6065675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/19783 + -21461\/16597937. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 147 - 0?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140351 (base 6) to base 16.\nAnswer: -332b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2091, 16703, 56363, 133593, 260915?\nAnswer: 450851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -71\/96 - 1\/96. Let n = -7261\/6 - -1210. Which is the nearest to x? (a) -1\/5 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 765925?\nAnswer: 765925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 6. Let b be y(-6). Let n = -7 + 9. Put n, -2, b in increasing order.\nAnswer: -2, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 9:19 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1 - (-10 + 7 + 8 + -12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58590 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -642 + 788. Solve 6*n - x + 134 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 18*j**2 + 7*j - 14*j**2 + 357 - 9*j**2 - 363. Let f(v) = -4*v**2 + 8*v - 5. Determine 6*f(z) - 5*p(z).\nAnswer: z**2 + 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -105280 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Suppose -3*f = -0*f + 3. Let x be f + 12\/(-4) + 110. Let t(p) = -x - 10*p + 106. Give l(t(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 + 7*t + 1. Let o be q(4). Let d(m) = -m**3 - 3*m**2 - 2*m. Let b be d(o). Solve -2*s = s - b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/(27\/(-180)). Let k be (-2)\/(-3) + l\/(-3). What is the second derivative of 2*u - 10 + 2*u + 10 + 2*u**k wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o + 1. Let l be j(-8). Let x = l + -12. Suppose -x*m + 55 = -0*m. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 325 and 0.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -48, -67, -82, -93, -100, -103?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d - 2950*d**2 + 5*d**3 + 13*d**3 - 4*d + d + 2952*d**2 - 3 as q + h*d**3 + g*d + c*d**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 8384637.\nAnswer: -8384640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6619 - 2749. Suppose -5710 = -5*g + 5*p, m + 692 = 4*g - p. What are the prime factors of g?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(68) + -3*sqrt(68) + 0)**2 + 3 + (sqrt(68) - sqrt(68)*-1*-4)**2.\nAnswer: -40*sqrt(17) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 30 = 30*l, 0 = 934163*l - 934161*l - 4*f - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3663 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 8*q**2 + 0 - 2\/3*q**3 - q + 1\/12*q**4. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -26. Let x be 5*(-6)\/(-30) - 46\/q. Let z = -8 + 7. What is the nearest to z in 3, x, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g - 2. Let m = -6 - -4. Let z be (m\/4)\/(2\/(-12)). Let l = z + -6. Calculate a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209794949192 + 3.7\nAnswer: -209794949188.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*q - 2*q = -3, -2*o = q - 9. Let k(s) = s**2 + s - 2. Suppose 4*p - 8 = 8*p. Let f be k(p). Solve -o*m - 9 = -f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 14. Suppose 3*a + 2*a - 5*h - 50 = 0, -2*h - 10 = 0. Sort k, a, 2 in descending order.\nAnswer: a, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 386 + -385. Is 4\/49 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15529 or 15290?\nAnswer: 15290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*d = 4, -2*x - 21 = 3*d - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -144a993 (base 11) in base 10?\nAnswer: -2488830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2201*j**2 - 8051 wrt j?\nAnswer: -4402*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-5)\/(-12))*3\/9. Let w = -89 + 107. Suppose -2*o + 3*f + w = 2*o, -26 = -r*o - f. Let n(p) = 2*p - 5. Calculate n(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 401 = 5*n + 385, -2*n + 3*s = -11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -62519.6 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21458 by 22268.\nAnswer: 10729\/11134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3671 + 589 = -6*y. Round y to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34730 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 597447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/7565 and 29\/269195.\nAnswer: 23958355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/14)\/(25\/60*-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 79, 181, 323, 505, 727, 989?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + sqrt(75) + 0 + 3)**2.\nAnswer: 30*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from oogoooooogoogo?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/41 (b) -7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 386 and -0.0516648.\nAnswer: -19.9426128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p**2 - 19*p**2 + 12*p**2 - 10*p**2.\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 15*c + 10 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9875.956 minutes?\nAnswer: 592557360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321782 divided by 2?\nAnswer: 160891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r - 28*r + 6816. Calculate the highest common divisor of r and 994.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8646059 is divided by 290?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3413, 3291, 3155, 2999, 2817?\n\"Answer: -r**3 - r**2 - 112*r + 3527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 519 and -3.438?\nAnswer: -1784.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r + 1. Let x be z(-1). Let p be (-24)\/(-11) - x\/(-33). Let u(s) = -3*s**2 + 2*s**2 + 4*s**p. Let q(g) = -g. Determine q(u(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -41.2. Is m less than or equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**3 - 2*s**2 - 5*s - 2. Determine n(4).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91245 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 1. Let v(a) = -5*a**2 - 5*a + 6. Calculate -6*s(u) - v(u).\nAnswer: -u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 889 (base 10) to base 9\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*y**2 - 5750 + 11495 - 726*y**2 - 5745 + 353*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26807073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*1)\/((-5)\/(-105)). Let j = r - -135. Suppose 4*f + j = 2*i, 2*i - 5*f - 62 = 47. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/17 and -45\/206.\nAnswer: 3502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -171*b**2 - 2*b. Let f(p) = 306*p. Give u(f(y)).\nAnswer: -16011756*y**2 - 612*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*p + 2116. Suppose 4*a = 4*r + 5*a - 440, 0 = -5*r + 4*a + p. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d + 15. Suppose 0 = d*p, 5*p + 111500 = 5*m + p. Round m to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (116\/16)\/((-8665)\/34184). Let x = v + 3\/1733. Let w = -3131\/110 - x. What is the common denominator of w and -81\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x - 590. Determine f(-64).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -602?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 1 + 14 + -18 + 11 + 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -119911\/6, 2\/5, -0.2, -5 in descending order.\nAnswer: 2\/5, -0.2, -5, -119911\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (-312)\/(-54) - 0 - 33008\/(-18). What is the highest common factor of j and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 21. Give t(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12614, -12622, -12634, -12650, -12670?\n\"Answer: -2*f**2 - 2*f - 12610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -215*y**2 - 5 + 220*y**2 - 3 + (2 + 1 + 0)*(y**2 + 3 - 3) + y**2 - 5*y**2 + 3*y**2.\nAnswer: 7*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/10*(5520\/9)\/(-2) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*p - 9195 - 24905 = 9290 - 1688 for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*d + 10160 = -1257*d + 233 + 615 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -156 divided by 5\nAnswer: -156\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 186?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25404 - -25418. Let m(o) be the first derivative of o**4\/4 + 4*o**3\/3 - 3*o**2 + 3*o - 1. What is the remainder when r is divided by m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d = 194640 + 62102. Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2. Let q be w(1). Suppose -8 = -q*k - 2. Calculate the least common multiple of k and 6 - (-6 + 7)*-3*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2220, -4650, -7080, -9510, -11940?\nAnswer: -14370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3103 is divided by 1030?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013 at least as big as 2008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003261232 rounded to 6 dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a century in months?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 41 - (13 - (-430)\/(-30))*(4 - 1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10032, 10030, 10028?\n\"Answer: -2*x + 10034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*j + u = 182*j - 5, 2*j + 15 = -3*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2262814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12. Let v(z) be the second derivative of 0*z**5 - 3\/2*z**2 + 0 + 1\/10*z**6 + 0*z**3 + s*z**4 + z. What is the first derivative of v(p) wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8772\/(-12)*290\/(-4930)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19341263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.401 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 4*l - 11*l as w + n*l and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 8*a + 4*k = -6, -2*a = 5*k + 14. Let l(o) = -5376*o - 6 + 5374*o - o**3 + 2. What is l(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71426 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 318993659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 7*r**2 + 10*r + 22. Determine y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3127*g + 3129*g + 24 = 0, g = 2*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195.3252l to millilitres.\nAnswer: 195325.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (19 - (-20 + 15))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:50 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4395 and 11640.\nAnswer: 3410520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1685 + 2856. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1 + 48 - 9 - l. What is the units digit of h(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**5\/20 + v**4\/4 - 5*v**3\/6 - v**2\/2 - 6*v. List the prime factors of z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f. Let x(d) = -5*d**2 + 4*d. Let r(p) = 9*p**2 - 7*p. Let z(i) = -4*r(i) - 7*x(i). Determine z(s(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 + -3 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230573 - 157102. Suppose 0 = -29*n + l + 15936. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -43*b + 412. Let t be a(9). Let s = 22 + -1. Suppose t*g - 64 = s*g. Calculate the remainder when 30 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 1055. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2 - 38*x - 37. What is the remainder when a(18) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 0 - -210 - 1. Let a = 3107\/15 - f. Put a, -3, 3 in decreasing order.\nAnswer: 3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 5*v - 10 = 0, 5*r - 3*v = -10. What is the units digit of 3*-3*r\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(336)*1 - sqrt(336)) - sqrt(336)*-2*-1)\/((-6*-2*sqrt(75) - sqrt(75)) + sqrt(75) - sqrt(75)*1*3).\nAnswer: -8*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 1 + c - 1\/2*c**2. Let v(l) = -4*l + 5. Determine -v(f) + 6*w(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6660)\/135)\/(-74)*(-18)\/1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113622 and 63401076.\nAnswer: 63401076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/3 (c) 4640 (d) -13633\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(126)*-1)\/sqrt(7))\/(((sqrt(576)*-2 - sqrt(576)) + sqrt(576))*2 - (sqrt(576) - 3*2*sqrt(576))).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 35233\nAnswer: -211398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6012 divided by -486.\nAnswer: -334\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 != -9.25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -556, -1092, -1612, -2116, -2604?\nAnswer: -3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -879 (base 16) to base 15.\nAnswer: -999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g - 5. Let j be l(-17). Let v = j - 56. What is the greatest common divisor of v and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6720 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhl when three letters picked without replacement from hhvmqhl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-352)\/(1 - -3)*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*k - 13*k - 3*k + 2.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1910, -3869, -5828, -7787, -9746?\nAnswer: -11705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43455 and 18?\nAnswer: 260730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let a(k) = 49685707*k**2. Determine i(a(s)).\nAnswer: -49685707*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 894*l**3 + l + 3742?\nAnswer: 2682*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -147*z - 855. Let d(n) = -127*n - 858. What is -7*d(x) + 6*o(x)?\nAnswer: 7*x + 876","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 37*o**5\/30 + 159*o**4\/8 - 2*o**2 - 194. Find the second derivative of b(k) wrt k.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -8, 0.76 in ascending order.\nAnswer: -8, 0.76, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -5 - (-1 + 1). Suppose -d = j*d - 120. What is the greatest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/15 + -4)\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15007*l - 6554*l - 7534*l.\nAnswer: 919*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-81)*6*(-9)\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5879184 rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-2*y - 1 + 1 + 2).\nAnswer: -4*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2065529 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 + 471. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14836 - 1790 = -p + 5*o, p + o = 16614. Does 124 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {w: 7, u: 5, k: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16438 is divided by 1676.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8562*h + 3258*h - 486*h to the form g*h + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*v - 98, -3*z - 148 = 5*v - 8. Let b = 29 + v. Which is greater: 4 or b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/33 + 1550\/341. What is the highest common divisor of 5 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/(-672)*(-4)\/(-3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*b + 8 = 0, 59*m - 54*m + 4*b = -8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -0.137873.\nAnswer: 0.1792349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h - 5. Let q be g(-5). Let d = q - -42. Calculate the common denominator of 59\/3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 4*n. Let y be (-10)\/(-3)*((-77)\/(-35) + -1). Let g(l) = -3*l**2 - 7*l. Give y*g(b) + 7*s(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 6 (b) -6 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/4, -13, -2\/27, 9?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915 - 908 - 35*b + 3649 - 914 - 912 + 9*b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250829?\nAnswer: 3, 46327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10450210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n - 4*j = -80, n - 5*j + 4 = 0. Let c = -22 - n. Suppose -5*w + c = -6*o + 2*o, -5*w = -o - 8. Solve f = -w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/63*14\/48)\/(91\/6279).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**2 + 5*l**2 - 2*l**2)*(-1 - 4 + 3)*(-l + 0*l + 2*l) to x*l + f*l**2 + s*l**3 + d and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 9 - (-5 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**3 + 12*w**3 + 248 - 63.\nAnswer: -4*w**3 + 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -10*p - 226 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*sqrt(84) + sqrt(84)*-5*-5)\/((sqrt(1728) - (sqrt(1728) - (sqrt(1728) - -3*sqrt(1728))))*-1*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -50. Let v = 798\/451 + -80\/41. What is the second biggest value in y, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3476.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 4*i - 4 - 1\/3*i**3 + 514815\/4*i**4 + 0*i**2. Let x be v(3). Round x to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Let t(h) = -h**2 + 4. Let x be t(a). Sort x, 2, 1 in increasing order.\nAnswer: 1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 28 * 8\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p = -2*i - 10, -2*i = -p - 5. Let n = -3 - -2. Let l be (4 + -10 + 3)*n. Calculate the highest common factor of i and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3759.3 - 3516. Let n = 375 + -153. Let b = n - i. What is b rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -12403\nAnswer: -372.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q = -1647 - 7461. Calculate the highest common factor of 72 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(174\/54)\/(-29)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5961, -5958, -5953, -5946, -5937?\nAnswer: -5926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24193488017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -2*a + 3*a + 1, 0 = a + 16*p + 43 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 2 - (3 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 638.5 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/35 + 8\/35. Let o = -2 - -2.5. Which is the closest to r? (a) 2 (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/3? (a) 100 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.21373 or 0.9?\nAnswer: -0.21373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 812*q + 21946. Calculate f(-27).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 42 = 54 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c**2 + 2*c + 1. Let w be h(2). Let u(o) = -o**3 - 7*o**2 + 13*o - 8. Let z be u(w). Round z to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**3 - j**2 - j. Let o be x(-1). Suppose -7*z - 9 = o*t - 3*z, 0 = -3*t + 4*z + 1. Put t, 1, -7 in decreasing order.\nAnswer: 1, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.9789 + 6. Round x to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5860684 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*b + 55 = 0, b + 137 = 2*k + 6*b. Let v = k - 8. Let d = v - 30. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 498*x**2 + 59811*x + 545310.\nAnswer: -3*(x - 249)*(x + 10)*(x + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 33*y + 250. Let f be w(-21). Sort f, -4, 11, -6, 1.\nAnswer: -6, -4, f, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + sqrt(432))*5)**2 + 1.\nAnswer: -1080*sqrt(3) + 10882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4*(0 + sqrt(1539) + -2) - (1 + -3*sqrt(1539) + 5)))**2.\nAnswer: 54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, 2, 4, 0, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7\/2)\/(h**31*h) assuming h is positive.\nAnswer: h**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793483659.\nAnswer: 3, 2351, 37501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from kaaakkhhkhrhh.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3222 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/(-114) + ((-21782)\/(-9324) - (-32)\/(-16)) and -47\/1554?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k + 6158 - 5588 = 0 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.7 - -10. Let v = z - 1. Suppose -5*k = g - 5*g, 0 = -2*k - 2*g. What is the closest to k in -0.4, v, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + -38974.23044.\nAnswer: -38974.17044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssxsqssss. Give prob of picking 3 s.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7267208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 11073372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.113 * -0.5\nAnswer: 1.0565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 13 - 28 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-10) + (-2 - -33 - 32)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmp when three letters picked without replacement from {p: 2, d: 2, f: 1, m: 2, b: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Suppose -w = -k*m + 4*w + 27, -3*w = -2*m + 17. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2301 + -1417. Suppose -2*y = -3*z - 6*y - 9, -4*z + 1 = y. Is z\/(-4) + n\/16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -5*v**3\/7 + 12*v**2\/7 + 12*v\/7 - 6. Let w(d) = 0. Calculate d.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:09 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -41\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 + 7*j**3 + 2*j**3)*(-114 + 59 - j + 190).\nAnswer: -14*j**4 + 1890*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a milligram in micrograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 5*g + 2 - 10. Let t be z(-8). Let u be (-1)\/6*36\/(-8). Which is the closest to -2\/5? (a) u (b) t (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*(j*j**(-1\/4))\/j))\/j)**17\/(j*j**(-1))**20)**(-19) assuming j is positive.\nAnswer: j**(969\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 22*h**2 + 26*h + 44. Let g(q) = 7*q**2 + 9*q + 14. Let x(v) = 3*f(v) - 10*g(v). Factor x(b).\nAnswer: -4*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4753 is divided by 840.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/3 + 68*z**2\/3 - 5783*z\/3 - 14490 = 0. Calculate z.\nAnswer: -115, -7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**31\/y*y)\/y)\/(y*y*y**29))\/(y*y**(-2\/47)*y*y*y*y*(y\/(y*y**1*y))\/y) assuming y is positive.\nAnswer: y**(-139\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73426551?\nAnswer: 3, 11, 202277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 15*r + 25 = 3*q, -r - q + 11 = 0. Let 2\/7*k**5 + 4\/21*k - 26\/21*k**r + 0 - 22\/21*k**2 + 38\/21*k**3 = 0. Calculate k.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3581047685?\nAnswer: 5, 716209537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (25\/48)\/(40\/(-60) - 6\/(-27)) and (58\/(-64))\/(3\/6).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/50 and -11\/2371.\nAnswer: 118550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i. Let t(p) be the third derivative of -p**6\/45 - 127*p**3\/6 - 18*p**2. Let k(a) be the first derivative of t(a). Give k(l(x)).\nAnswer: -1352*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 130. Let o = -106 - a. Which is smaller: 28 or o?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k + 23 = -4*h, 0 = 2*k + 4*h + 2. Let g = k + 13\/2. Let j = 6 + -4. What is the closest to -1 in j, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 44*x + 258. Let r be a(38). Let z be (24\/(-9))\/((-10)\/15). Solve z*f - 10 = -r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeekeekee. Give prob of sequence ke.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 45*z - 5001. Give x(111).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 45 = -5*k, 8*m - 329*k + 30 = -327*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-5)\/((-15)\/(-156)). Let p = r - -251\/5. Let t(q) = q + 2. Let f be t(-6). What is the closest to 2 in f, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3981 + -0.0981. What is the nearest to -2 in f, 2, -0.2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21835395.\nAnswer: 3, 5, 17, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 0\/2*1 - -11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 11954?\nAnswer: 23908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-3)\/(-4)*113400\/(-12150))\/77?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -327233728 to the nearest one million.\nAnswer: -327000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1502*o - 1492*o + 3009*o. Let s(d) = 28*d**2. Calculate s(w(b)).\nAnswer: 6300*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*q**3*x - 234*i*q - 685*i*x + 212*q**3 + 10*x wrt x.\nAnswer: 3*i*q**3 - 685*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 14 + 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 5*w + 1. Let k be h(5). Let f = k + 42. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 24114704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2 + 3513*a - 53086.\nAnswer: 4*a + 3513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 - 10071*h**4 + 15132*h**2?\nAnswer: 120*h**3 - 241704*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/20 + 5*h**4\/12 + h**3 + 4*h**2 - 3*h. Let q = 47 - 44. Suppose 16 = q*k + 2*i, k + 0*k - 9 = 3*i. Calculate f(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 48. Let x = -1 - -1. Let a = 0 + x. What is the nearest to a in k, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*b + 2, 2*b = -3*l - l + 2. Suppose 4 = -w - l. Let a(x) = x**3 - 5*x**2 - x + 7. Let y be a(5). Sort w, 5, y in increasing order.\nAnswer: w, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.954 times 6592?\nAnswer: 12880.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 7*l**3 + 15 - 10.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.89 - -16.88996305. What is q rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 5, 6, 564 in decreasing order.\nAnswer: 564, 6, 5, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5 - 49320*l**4 - 11842296*l**3 + 12138272*l**2 + 59606172*l + 35674920 = 0.\nAnswer: -12085, -246, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 434*g**3 - 2295*g**2 wrt g.\nAnswer: 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + j**2 + 2*j - 2. Let z be h(0). Which is the third biggest value? (a) z (b) 2\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -20*y + 26. Let v(j) = -33*j + 51. Calculate 5*u(t) - 3*v(t).\nAnswer: -t - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 64*g**2 + 301*g - 24757. What is y(65)?\nAnswer: -967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -39 (b) 1 (c) 0.3 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -414*b + 5. Let u(o) = -856*o + 11. Determine -7*f(y) + 3*u(y).\nAnswer: 330*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 208 (b) -0.2 (c) 5 (d) 2 (e) -0.03 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 21. Let c(n) = 108*n**2 - 6*n + 2. Let p be c(s). Suppose -5*z + 1195 = 3*w, -2*z - p = -6*z - w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26, -103, -240, -443, -718, -1071?\n\"Answer: -h**3 - 24*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17908203347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1077*v**4 + 847*v**2 - v wrt v?\nAnswer: -25848*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/256620 and 107\/3290.\nAnswer: 256620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1827*n**3*o - 678*n**3 + 35*n**2*o + 16*n**2 + 76*n*o**2 + 117 wrt o?\nAnswer: 1827*n**3 + 35*n**2 + 152*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmlmmimlmmmil. What is prob of picking 2 l?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + t + 1. Let c be l(-1). Suppose -23 = 5*x + 6*v - 8, 0 = 3*x - v - 14. What is the units digit of (1 - x)*c - -31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7706446?\nAnswer: 2, 11, 350293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**2 + 1. Let m(n) be the third derivative of 5*n**4\/24 - 2*n**2. Determine b(m(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, 877, 1606, 2425, 3322, 4285?\nAnswer: 5302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41239 and 10.\nAnswer: -412390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 14*q + 19. Let t be k(-9). Let p = -285 - t. What is the highest common divisor of 20 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -18.36. Let r = 0.360156 - s. What is r rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 2:14 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531 - 531 - 5*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 3. Let x(a) = a + 3. Let c(g) = -4*n(g) - 3*x(g). Let y be c(-3). Solve y*h + 2*h = -d + 2, 5*h = 5*d - 25 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (sqrt(2) - (sqrt(288) + sqrt(288)*-4))*6*2 + 5.\nAnswer: -1 + 444*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110101000 + -1000110010101110?\nAnswer: -1011100001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-1) + 4)*-2. Let j = q - -4. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 - -431. What are the prime factors of (-4 - -3) + -5 + o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2, -1\/3, 3, 26.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2020, 6778, 17006, 35440, 64816, 107870, 167338, 245956?\nAnswer: 346460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -p - 22 - 1, 5*p + 2*v + 5 = 0. Let t = p - -5. Suppose -4*z = 5*i - 67, -t*z + 3*i = z - 57. What is the least common multiple of z and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u - 180. Let w = 9 - 14. What is the tens digit of ((-1314)\/u)\/((-2)\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 736 + -759. Put s, 0, 2 in descending order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, z: 1, t: 3, v: 2}. What is prob of picking 1 z, 1 t, 1 s, and 1 v?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.186 not equal to 0.0524753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 - 4*v**2 - 2*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 76. Let w = 93 + n. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*a + 5*v, 3*a - 5*v - 6 = -0. Let p = -31\/8 + 19\/6. Calculate the common denominator of a\/12*472\/8 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-160)\/188)\/(-8))\/((818\/1227)\/((-2)\/(-5))).\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Let q = -842.7 + 843. Put f, q, -0.3 in descending order.\nAnswer: f, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 968047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -16. Suppose -16 = -4*w - x*w. Let v = 9 + -4. Solve -f + w*f = v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 17 - 9. Let i(n) = -n**3 - 2*n**2 - 2*n - 2. Give i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-10))\/(2\/60). Let j(f) = -f**2 - 7*f. Let n be -3 - (-20)\/7 - 297\/77. Let x be j(n). Calculate the highest common divisor of x and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1011101101111?\nAnswer: -1011101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6 = 2128*h - 2131*h, 0 = -10*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (111\/(-481) + 324\/52)*1\/3. Suppose -4*o + 8 + 0 = 0. Suppose o*l + 0 = q - 7, -3*q + 20 = -5*l. Solve -4 = y - 2*a, -q*y - w = -4*a - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -112. Let t(k) = -k + 1. Let p(q) = -3*q**2. Let x(i) = p(i) + t(i). What is x(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 6*l - 3*l + (3 - 3 + 7*l)*(1 + 1 - 4) in the form q + i*l and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58499780, -58499797, -58499814, -58499831, -58499848?\n\"Answer: -17*n - 58499763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27152 + 27153. Let x = 31 + -125\/4. Let j be 22\/(-28) + 2\/7. Which is the closest to j? (a) x (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2948 - 1311. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*l**3 + 169*l**3 - 355*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 42 + 372. Factor -27*z - 63 + u*z - 31*z + 3*z**2.\nAnswer: 3*(z - 7)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -565 + 587. Let b = 76 - 34. Suppose -4*a - i = -b. Let u(l) = -7*l**2 + 5. Let d(m) = -6*m**2 + 4. Calculate a*d(g) - 4*u(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -657, -1477, -2625, -4101, -5905?\nAnswer: -8037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/222 and 11\/28272?\nAnswer: 1046064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 5*q + 4. Let a be x(5). Suppose -a*s + 29 = -479. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 370386*l**4\/13 + 5224392*l**3\/13 + 547200*l**2\/13 + 19168*l\/13 + 224\/13.\nAnswer: 2*(l + 14)*(57*l + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50296111 - 34*o**3 - 50296111.\nAnswer: -34*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1637*s**2 + 3 - 2677*s**2 - 3 - 2672*s**2 to n*s + u + o*s**2 and give o.\nAnswer: -3712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -78147*l + 78142*l + 2*b, -3*b + 10 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122177754 is divided by 8145183.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.70490905 rounded to 2 decimal places?\nAnswer: 18.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136839, 547351, 1231535, 2189391, 3420919, 4926119, 6704991?\nAnswer: 8757535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.2756 and 9770.1.\nAnswer: 9766.8244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*t - 55*t**2 - 7*t - 11*t + 19 - 16 in the form c + v*t + o*t**2 and give o.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*x + 1020 = 228*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*q*s**3 + 348*q + 78*s**3 wrt s.\nAnswer: 6*q*s**2 + 234*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296) + sqrt(1296)*3)*-1 - sqrt(1296))\/(2*(sqrt(12) - sqrt(12)*-2) + -2*sqrt(12)*-5).\nAnswer: -15*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-30))\/(2\/24). Let b(r) = -3 - 3*r + 2 + 2 + q*r. Let g be b(3). Solve -g*s - 3*k - 28 = 0, 0*s - 5*s + 4*k = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a37 + 0?\nAnswer: -1a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3940050, -3940051, -3940052, -3940053, -3940054, -3940055?\nAnswer: -3940056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -197*d**4\/12 - 141*d + 2. Let c(a) = 3*a. Determine c(b(z)).\nAnswer: -591*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 384074745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-896)\/42*171\/(-4). Calculate the greatest common factor of 128 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.0565 nanoseconds in microseconds?\nAnswer: 0.4480565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 3}. What is prob of sequence uyu?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -349, -792, -1423, -2248, -3273, -4504?\nAnswer: -5947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-65) - (-460)\/65.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 694*a - 7808. Give w(11).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 118*x + 120. Let a be y(-58). Solve 0 = 4*j + 2*r + 14, -3*j - a*r = -8*r + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*z, -4*m + 5*z + 83 = -m. Let a be 28903 - 13\/m*1*6. Round a to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166149355 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106320720 by -2084720.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*x + 19, 14*x - 35 = 5*v + 9*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:46 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 79?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 26. Let o(v) = -12*v - 48. Let j be o(-6). Let n be x(j). Calculate the greatest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1791133 (b) 0 (c) 0.8 (d) 1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15404578451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1 = -0*d + 2*d, 2 = -d + 4*u. Solve -t + 30 = -5*m, 4*t - d*t - 5*m = 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -231.78914 and -31?\nAnswer: 200.78914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4313 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 131375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - 263035\/(-21900) - (-2)\/3. Let q = -16\/53 + 1062\/3869. Let j = u + q. Find the common denominator of j and -65\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 2*f - 3. Suppose -3*s + 6 = i + 1, 29 = -5*i + 3*s. Let h(u) = -u**3 - u + 2. Determine i*h(d) - 3*l(d).\nAnswer: d**3 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 92*l + 97*l - 388*l + 97*l + 101*l. Let d(n) = n**2 + 3*n + 4. Let b(w) = -2*w**2 - 6*w - 8. Let c(h) = -4*b(h) - 9*d(h). Calculate c(x) - 3*i(x).\nAnswer: -x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 3. Let f(l) = 6*l + 7. Let h(g) = -5*c(g) - 2*f(g). Let v be h(6). Find the first derivative of -6 - v*d**3 + 2*d - 2*d + 15*d**3 wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**3 - 29*j**2 + 9*j - 9. Let d(n) = 11 + 7756*n**3 - 7*n**2 - 7755*n**3 - 13 + 2*n. What is -18*d(s) + 4*o(s)?\nAnswer: 2*s**3 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31430*n**2*x + 16*n**2 + n*x - 3464180*x wrt n?\nAnswer: -62860*n*x + 32*n + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 <= 4373\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:22 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -7 (c) -150 (d) 4\/7 (e) -3 (f) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*g = -12, 2*g + 3*g = -m + 24. Solve 2*r - m*r - 8 = -2*n, -5*n - 2*r + 27 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -13010212132?\nAnswer: -13010212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59434b (base 12) to base 16.\nAnswer: -15f1eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - c**2 + c + c - c - 12. Is y(-6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24521150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 4*j - 28 = 0, -2*f - 44 = 4*j - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 9. Let m be 0\/32*(0 - k)\/(-1). Does 16 divide (m + (-5)\/3)*-48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2693680 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 91013b7 - 0?\nAnswer: 91013b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((1*sqrt(160) - sqrt(160))*2)\/((sqrt(30)*-2)\/sqrt(3)))\/(-2*sqrt(128)*-2*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2436 + 10795 = -446*o - 2169 - 6008 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 78.71 and -359012425.1?\nAnswer: 359012503.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*x + 2094 = 44*x - 2098 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 - 2*m - 667. Let a(r) = -2*r. Give y(a(u)).\nAnswer: 20*u**2 + 4*u - 667","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 25 = -5*q, 5*x + 27 = -0*q + q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (-2 - -5))*113. Let g = 173 - k. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**3*v**2 - 7*u**3*v - 2*u**3 + 2*u**2*v**2 - 52*u**2*v + 2*u*v**2 + 82 wrt u.\nAnswer: -12*v**2 - 42*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68099001 is divided by 239?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*w - 257*w + 198*w**3.\nAnswer: 198*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.4, 15, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -3, -0.333, -10\/53, 4?\nAnswer: -0.333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d. Let b(l) = 3*l + 2. Let o(n) = 1 - 2 + 3 - 1. Let i(f) = -b(f) + 2*o(f). Give i(g(y)).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*u**2 + 2*u + 322.\nAnswer: 32*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153355*w**6 - 104*w**2 + 356?\nAnswer: 18402600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 98, -4, 364 in decreasing order.\nAnswer: 364, 98, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 + (-5053)\/217. Is v less than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4084\/7 + 582. Calculate the common denominator of -46\/7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*w - 41 + 146. Find the third derivative of -23*a**w + 59*a**2 + 67*a**2 + 43*a**5 + 104*a**2 - 154*a**5 wrt a.\nAnswer: -8040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10818\/5 or -2164?\nAnswer: -10818\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13.1, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 5*t - 5. Determine b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -316 + 1891\/6. Let j = -8 - 5. Let b = 146.35 - 149.35. Put j, t, b, -5 in increasing order.\nAnswer: j, -5, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/14*155652\/153 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*d**5 - 365*d**2 + 2126*d**6 - 1920*d**2 - 53*d**5 + 4960*d**6 wrt d.\nAnswer: 850320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149758 is divided by 7140?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001011110010 (base 2) in base 12?\nAnswer: 9b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(3))\/sqrt(324).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15*r - 73. Let g be k(6). Suppose -14*q + g*q = 162. What is the remainder when q is divided by 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101743894 divided by -49?\nAnswer: 2076406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24.6 and -0.1.\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3114 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -10 (c) -7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531704 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16268788921 and 1.\nAnswer: 16268788922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3587, -3582, -3577, -3572?\n\"Answer: 5*w - 3592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.6. Let f = u + 1. Let k = -537\/4 - -135. What is the nearest to k in -3\/4, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239389 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139 a factor of 278807955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-170)\/(-136))\/((-1290)\/344)*1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3253, 3607, 4587, 6517, 9721, 14523?\n\"Answer: 54*t**3 - 11*t**2 + 9*t + 3201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 24*f**2 + 6*f - 15. Let v be p(17). Suppose v = 5*i - 1095. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5966 divided by 18111\nAnswer: 5966\/18111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55253 + -4?\nAnswer: 55245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 2*l**4 + 2*l**4 + (-l**2 - 2*l**3 + l**2)*(-4*l + 5*l - 2*l) - 2*l**4 + 3*l**4 + 0*l**4.\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/3*36\/(-120). Let j = 3.818 + -8.818. Sort x, 0.3, j, 1 in descending order.\nAnswer: 1, x, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*k**2\/7 + 352*k\/7 - 824\/7.\nAnswer: 2*(k - 2)*(15*k + 206)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3785306, -3785336, -3785366, -3785396, -3785426?\nAnswer: -3785456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**4 - 14*u - 2. Let x(r) = r**4 - r + 1. Let w(f) = -n(f) - 2*x(f). What is the second derivative of w(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 - -46. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 - -161. Suppose 4*c - 1058 + 208 = -3*b, t*b - 5*c - 1092 = 0. Is b a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -22\/67 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6006 divided by -26\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 12:52 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3200 - -5702. Suppose g = -17*g + m. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2847, 10813, 24159, 42885, 66991?\n\"Answer: 2690*b**2 - 104*b + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22400*k - 22374*k - 26 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15072686 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*o = 94*o + 5198525. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**2 - 5*m + 2. Let i(u) = 17*u**2 + 15*u - 6. Let a(p) = 3*i(p) + 8*s(p). Let b be a(4). What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + (931 - -14)\/(-27).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17329, -34628, -51927?\n\"Answer: -17299*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 4*t, 4*g - 67 + 108 = 5*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/199 (b) 0.4 (c) 2 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48736608 and 10.\nAnswer: 243683040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j - 61 + 61)*(-j**3 - 3*j**3 + 2*j**3) - 530*j**4 - 2*j + 5 + 524*j**4 + 4*j + (-2*j**4 - 1 + 1)*(0 + 0 + 2).\nAnswer: -26*j**4 + 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reqeeeereereeeewqeew. What is prob of sequence wq?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1360, 1426, 1502, 1594, 1708?\n\"Answer: n**3 - n**2 + 62*n + 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -6314\/59 and -106 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8864204.\nAnswer: 2, 571, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, -4, 1.1078?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 125092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*j - 2*j - 123, 5*j - 237 = 4*v. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 3 = o. Suppose 0 = -4*t + o. Find the common denominator of (-180)\/(-81)*t\/(-22) and -19\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(86*a**4 + 29*a**4 - 2*a - 162*a**4 + a**3).\nAnswer: 94*a**4 - 2*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (112\/2660)\/((-12)\/(-114)). Which is the nearest to s? (a) 3 (b) 1.95 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(1 - 1 + 1)*(-2*b**4 + 4*b - 4*b + 3*b**4 - b**2 + b**2 + (5*b**4 - b**4 - 2*b**4)*(1 + 2 - 2) - 5*b**4 - b**4 + 4*b**4)*(2 + 1 - 1).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.92 + -3.02. What is the closest to n in -2, 15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1638370 rounded to the nearest ten thousand?\nAnswer: -1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1503497.\nAnswer: 17, 59, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*b - 23727 = 950*b + 530*b for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.8 + -0.115.\nAnswer: -17.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 19 - 36 = -10*l. Solve -2*o + 9 = 3*n, 3*o - l = 31*n - 33*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 24512105964*j**2 - 24512105964*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeneeeenneeeeeeeee. Give prob of sequence nnne.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/5 - (-44)\/55. Determine t so that 5*t**3 - 16*t + 26*t**4 - 23*t**h - 24*t**4 - 17*t**3 + 47*t**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9451 smaller than 9451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**2\/9 - 122*s\/9 - 592\/3 = 0.\nAnswer: -37, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 5. Let i be s(-10). Let n = 16 + i. Suppose 3*f + 4*x - 21 = n, 5*f + 4*x - 78 = 0. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a3a (base 12) to base 13.\nAnswer: -a165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9313\/21 or -442?\nAnswer: -442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 1. Let m(v) = -7. Suppose 32*o - 18 = -a + 27*o, 5*a = o - 40. Calculate a*k(p) - m(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13829 by 18.\nAnswer: 13829\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -235, -4, 33, 0.235?\nAnswer: 0.235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 560.38 rounded to 0 dps?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(-8 - 1 + 2)*(231*t**2 - 10*t + 10*t) as o + n*t + y*t**2 and give y.\nAnswer: 1617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*o**4 + 244*o**3 + 2643*o**2 + 6526*o - 25688.\nAnswer: (o - 2)*(o + 13)**2*(7*o + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 34*i**2 - 4*i - 3. Let p be x(-1). Calculate the greatest common divisor of p and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - z + 1 + (z + 3*z - 2*z)*(3 + 2 - 4))*(1 + z - 1)*(124 - 8 + 43) to the form l*z + s + v*z**2 and give v.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 16. Give n(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -401*j**5 - 27*j**3 - 1506*j - 4 wrt j.\nAnswer: -8020*j**3 - 162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 15, j + j = 2*v + 556. Let g = j - 159. Let k = 226 - g. Does 34 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553 and 3239?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 24 = 7*v. Let d(l) = -2*l**3 + 2*l**2 + 3*l - 3. Let a(c) = -2*c**3 + c**2 + 2*c - 2. What is v*a(x) + 2*d(x)?\nAnswer: 2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -3. Let q = -157 + 157.5. What is the second biggest value in i, q, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9251211s to milliseconds.\nAnswer: 925.1211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.56 and 2.277.\nAnswer: 1.27512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38653230 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m**2 + 11\/3*m**3 - 132 - m. Let t(k) = 16*k**2 - 1. Determine -7*s(i) + 5*t(i).\nAnswer: 3*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8242)\/(6 + 12532\/(-2089)). Let b = n + 2558769. What is b rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1974?\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -3212674?\nAnswer: -3212705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 5*p**2 - p + 7. Let r be j(5). Find the third derivative of 41*s**2 + 6*s**5 + 42*s**2 - 97*s**r wrt s.\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.12, 39\/23, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 f when three letters picked without replacement from fffsffffsf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -527.0434 + 527. Let h = 92.5566 - c. Let r = 91 - h. What is the second biggest value in r, 0, -4, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-600)\/(-135) - (6 - 13)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1143585823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 7?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.18196 (b) 22 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 9097, 1\/48?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 102, 139, 156, 147?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*v = -2, 0 = 3*w - 5*v - 4 + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((252\/(-4095))\/(29\/2639))\/(12\/(-5))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14276 and 20.\nAnswer: 71380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 2, d: 1, q: 1}. What is prob of sequence yd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*-1*108\/(-18). What is the third biggest value in 5, p, -3\/7, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r + 1 - 2\/5*r**2 - 2\/15*r**3. Factor k(s).\nAnswer: -2*s*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*q - 8, -5*g + 2*q + 14 + 14 = 0. Solve g*f - 5*t = 10, -3*f - 8 + 29 = 3*t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let t(h) = -39*h**3 + 65*h. What is -65*l(r) - t(r)?\nAnswer: 39*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3 - 2*p)*(10 - 16 - 18).\nAnswer: 48*p - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -37440614.9862?\nAnswer: 37440615.4862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from ccwwcecewcwwwwcwecw.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 4 + 3 + i. Let w = 13 + -3. Let z be p(w). What is the third biggest value in -2, z, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 77336*f - 80193*f + 1 to the form n + m*f and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 - (-8 + 1 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31012.\nAnswer: 2, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(57)\/sqrt(3) + sqrt(19)) + 6*sqrt(171).\nAnswer: 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65674 + 9851041\/150. What is the common denominator of g and 131\/42?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 - -422619?\nAnswer: 422618.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81382201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (104\/(-8) + 10 - -9). Sort -4, 2, -21, x, 0.\nAnswer: -21, -4, 0, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10213 (base 5) in base 6?\nAnswer: -3055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*m + 31 = -m, 2*r - 50 = -2*m. Let a(h) = h**3 + 16*h**2 + 12*h - 4. Let w be a(-15). Let d = w - r. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 5 = b. Sort 3, 0, b, -4 in descending order.\nAnswer: 3, 0, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - 7. Suppose -14*w + 882 = 7*w. Let r be ((-4)\/h)\/(6\/w). Sort 5, 11, r.\nAnswer: r, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*c + 2*l, 33*c + 2*l = 37*c - 16. Suppose -539 = -c*k + n - 197, -4*n - 336 = -4*k. What is the remainder when k is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -34109, -1 in ascending order.\nAnswer: -34109, -1, 85","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryyyyyyryyyyyyyry. What is prob of picking 2 r and 1 y?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 400, 418, 434, 448, 460, 470?\n\"Answer: -f**2 + 21*f + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*u + 11*u + 89*u + 560*u + 6*u to s*u + b and give s.\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1457 in 0.2, 0.1, -0.5, 2, 0.27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11141314410 (base 5) to base 16\nAnswer: bdf169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.21877 - -0.214. Round n to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 15 + 225*j)*(2 - 2 - 2) as m + d*j and give d.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 0 + 1\/6*y**3 + 12*y**2 - 1\/8*y**4 + 0*y. Calculate o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98*p**3 - 2*p**5 - 3*p**4 + 98*p**3 + (5*p**4 + 12*p**2 - 12*p**2)*(7*p + 0*p + 0*p).\nAnswer: 33*p**5 - 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -4, -0.88?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5 = -5*n. Let h be n + -1*(0 + -4). Suppose 3*i + t - 14 = 11, -h*i = -5*t - 1. What is the highest common divisor of 56 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*j**2*q**3 + 4*d*j**2*q**2 - 3*d*j - 3*d*q**3 - d*q - 2*j**2 + 2*j wrt q?\nAnswer: 6*d*j**2*q + 8*d*j**2 - 18*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 909 - 909 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217728258 to the power of 1\/3, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z**3 + 6*z + 6. Let o(g) = 7 + g + 4*g - 2 - 7*g**3. Let d = 1 + 5. Determine d*o(c) - 5*u(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 23*m + 4265. What are the prime factors of m?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13689?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -199 + 210?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, w: 1, z: 2, k: 6, t: 3}. Give prob of picking 2 k.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 792456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 12 - 16 + 24 - 2*j**2. Let i(v) = v**2 + v + 3. Suppose 0 = 4*g + 3*x + 27, 0 = 3*g + g + x + 17. Determine g*s(u) - 4*i(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 95 = 2*d + 838, -5*g + 5*d = -1560. Suppose -4*f + f = g. Round f to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + (5 + (-1 - -5 - -8590))*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - p**2 + 4*p + 3. Suppose 0 = -4*g + 5*g - 6. Let y = g + -8. Let u be x(y). Which is smaller: u or -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s**3 + 6*s**2 + s + 12. Let u(g) = 5*g**3 - 7*g**2 - 12. Let n(j) = 3*p(j) + 4*u(j). Let o be n(5). Solve -2*c - 3 = x, -o*x - x = 4*c + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000079 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-3 + -1)) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i**2 + 111*i + 326. Give m(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -965559, -965603, -965647, -965691, -965735, -965779?\n\"Answer: -44*w - 965515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 18\/(-4) - 4. Let f = 207\/4 - 52. Which is the nearest to t? (a) f (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3010 and -3.44.\nAnswer: -10354.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = u. Let w = -14 - u. Let x = w - -11. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85.63 and -0.79829.\nAnswer: -68.3575727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -109, -206, -315, -442, -593, -774, -991?\n\"Answer: -a**3 - 90*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15054 + -6496. What is the highest common factor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -304 + 300. What is the closest to 4 in 3, l, 0.2, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - g)*(g + 0*g + 0*g)*(-4 + 4 - g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 12:57 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -927, -3697, -8323, -14811, -23167, -33397, -45507, -59503?\nAnswer: -75391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 2) + (6 + -8 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 384.\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from bmgggffbglzmgfgmgf?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27059 is divided by 877.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5*i - 50, -i = -0*g - 2*g - 8. Let f(w) be the third derivative of 7*w**4\/24 + w**3\/3 + w**2. Let m(o) = -8*o - 2. What is g*m(y) - 7*f(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1319, 10440, 35197, 83408, 162891, 281464, 446945, 667152?\nAnswer: 949903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04502 + -0.49122. Let d = 0.2363 + m. Round d to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(4 + sqrt(13)).\nAnswer: 4*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -199*m + 22. Let z(c) = 40*c - 4. Let y(p) = -2*t(p) - 11*z(p). Let n(w) = -2*w**2. Calculate n(y(k)).\nAnswer: -3528*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 6*n**2 + 6*n + 4. Let m be f(-6). Let x = -23 - m. Let q(h) = -h**2 - 16*h - 10. Let k be q(-15). Solve k*c - 6 = x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -967701 divided by 609.\nAnswer: -1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let y(g) be the third derivative of -9*g**5\/20 - g**2 + 6*g. Calculate q(y(w)).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 14 + 46. Let s = 5 - -1. Suppose b + 0*b + 4*y = 0, 2*b - s = -5*y. Calculate the greatest common factor of a and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217 + 217.4. Let t = -3 - -1. Which is the nearest to r? (a) 0.4 (b) t (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55629 and 2247?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 999\/(201\/12 - 16). Calculate the highest common factor of 108 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 + (-7 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - 3*(-1 + sqrt(1300)))*5 - ((sqrt(325) + -1 + 0)**2 + sqrt(325) + (sqrt(325) - ((-5*(1 + sqrt(325)))**2 + sqrt(325)))).\nAnswer: 155*sqrt(13) + 7839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/44 and 12 + (-304945)\/636*5\/200.\nAnswer: 55968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 279\/10. Let w = 560\/107 + -1004937\/428. Let z = w + 2325. Calculate the common denominator of d and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 1 - 6*i + 6*i)*(1 - 1 - i**2).\nAnswer: 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -31426*m + 502707. What is u(16)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 5:14 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -17. Suppose c = -a - 1. Does 13 divide ((-78)\/(-8))\/(a\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 2010515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 749042.6 minutes in seconds?\nAnswer: 44942556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5346.128 micrometers to kilometers.\nAnswer: 0.000005346128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511682701 to the power of 1\/2, to the nearest integer?\nAnswer: 50117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -746*z - 4461. Let x be n(-6). Solve -l + x - 6 = -4*f, 2*l + 2*f - 8 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y + 2*o - 20 = 0, -3*y + o = -5. Suppose -4*j + 5*n - 19 = 0, -2*j - y*j + 7 = 4*n. Which is smaller: j or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61445 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 1. Let r be u(1). Solve 2*b = 8, 7 = 2*y - r*y + b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -0.0052?\nAnswer: -4.0052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 212 and -222442?\nAnswer: -47157704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 402436815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 2:09 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39387, 157588, 354589, 630384, 984967, 1418332, 1930473, 2521384?\n\"Answer: -s**3 + 39406*s**2 - 10*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1712 (base 12) to base 16.\nAnswer: abe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227158080 and 13056?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*c - 12 = 102*c. Let l = 116 - -263. Let q = c + l. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, e: 1, y: 4, m: 5, h: 1}. Give prob of sequence me.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2*10\/(-15). List the prime factors of (m - -25) + 6\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.9. Let v be (1\/8)\/(3\/(-6)). Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -2*y + 3\/2*y**2 + 3. Let c(h) = -7*h + 5. What is -6*c(d) - 15*z(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-16)\/6) - (-72)\/(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 + -208.9. Let f = c - 13.898. Round f to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -60, -44, -12, 42, 124, 240?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -108330243?\nAnswer: -108330243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 39, 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156821.\nAnswer: 7, 43, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174.774 + -175. Let d = 1.226 + x. Is 143 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 - -74) + (-3 - (-2)\/(-1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 - -142.757. Let h = y + 0.343. Which is the nearest to h? (a) -1\/9 (b) -1\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 812 and 177248?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/160 and -37\/14.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/11 + 38*q**2\/11 + 140*q\/11.\nAnswer: 2*q*(q + 5)*(q + 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by 825625?\nAnswer: -66\/825625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 660100 divided by 1148\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620, -3240, -7606, -13718, -21576, -31180, -42530?\nAnswer: -55626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6002357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 255 = 3*h, 4*l + 2*h - h = 350. What is the remainder when l is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 7. Let w(v) be the first derivative of 3*v**2\/2 + 3*v + 2230. What is 2*r(o) + 5*w(o)?\nAnswer: 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8649219 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4597.4437 rounded to 0 decimal places?\nAnswer: -4597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 + 2*g**2 + 11*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21095 - 11038 = -903*i - 3237 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-45)\/(-25) + 2\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314 + -306. Let o be ((-4)\/w - -1)*-166 - -4. Round o to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12137 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24038 and 125846.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -128347*i - 1283490. What is l(-10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.888 + -1.388. Which is the closest to -1? (a) -5\/17 (b) -0.2 (c) 3\/2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 3*g - 2. Give t(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/3 - -13) + 14\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + m + 3*m)*(0*m + 0*m + 2*m) + m + 4*m**2 + 7*m**2 - 16*m**2 to y*m**2 + r*m + o and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2. Let g(b) = -1532*b. What is g(v(r))?\nAnswer: -9192*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-65024)\/(-32) - (19 - 3) and 48?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 2, v: 4, a: 8}. Give prob of picking 2 a and 1 v.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1959 - -9793\/5. Which is the fourth smallest value? (a) 4 (b) -0.3 (c) 6\/11 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**5 - 88*f**4 + 4144*f**3 - 37620*f**2 + 25650*f + 67500 = 0.\nAnswer: -75, -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14641 = -u - 14546. Solve u*y + 112 = 79*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 x, and 1 n when four letters picked without replacement from {n: 1, x: 2, e: 1, f: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -890.862 - -890. Let j = 0.862000922 + g. What is j rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 7*t + 2. Let y be b(6). Suppose 4*d = -5*j - 1, 5*d + 18 = j - 5. Sort -2, d, 1, y.\nAnswer: d, -2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 793472, 1587004, 2380534, 3174062, 3967588, 4761112, 5554634?\nAnswer: 6348154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -743 - -759. Suppose 4*k = 2*i + n, -2*i + k - 15 = -7*i. Factor -5\/4 - 45\/2*s - 270*s**3 - 135*s**i.\nAnswer: -5*(6*s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0069302 + -3868.7.\nAnswer: -3868.6930698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t - 16586579 = -2*y, 16586571 = 2*y + 5*t. Let o = 4693288 - y. Round o to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7206 - 7204. What is the greatest common factor of f and 803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 3*y + 54. Let k(b) = -b**2 - 2*b + 27. Let z(j) = -7*k(j) + 4*t(j). Let i be z(0). Suppose -i = -4*r - 63. Which is smaller: r or -8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, o: 7, e: 5}. What is prob of picking 1 e, 2 o, and 1 q?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 73. Which is the biggest value? (a) -0.3 (b) 5 (c) y (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkyyzekzckzzzzzcfzfz. Give prob of sequence ycf.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j - 97. Let p be n(8). Suppose -3*w + 12 = -6*w. Sort 2, p, w in decreasing order.\nAnswer: 2, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 193268. Let k(o) = -41*o**2. Give l(k(i)).\nAnswer: -82*i**2 + 193268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/38 - (-2248)\/128 - 12?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 9*o - 56. Let u be y(14). Suppose -u*l - 8*l = 1540. Let d = -63 - l. Let j(g) = g**3 - 7*g**2 + 2*g. Calculate j(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1381 (b) 0.5 (c) 64\/7 (d) -2\/7 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -186. Let h be 280\/(-40) + y\/(-3). Sort 0.2, 1\/3, h in descending order.\nAnswer: h, 1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let w = 103 - 513\/5. What is the smallest value in w, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8 - 7*k**2 - k**3 + 0*k + 0*k**3 - 5*k + 0*k**3. Let h be s(-6). Solve -h*q + 7 = 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9288\/11 - -846. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5676.6317 rounded to the nearest 10?\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.6245cm in micrometers?\nAnswer: 1896245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3 + 2 + 0 + 7*j**2. Let n(k) = -3*k**2 - 2. Let h(t) = 2*t**3 - t**2 - 28*t - 46. Let r be h(-2). Give r*n(q) - 4*y(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 1:09 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251305 or -148?\nAnswer: -251305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.38 and -0.9?\nAnswer: 2.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 2452?\nAnswer: 24520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**6 - 411130*c**5 + 11708844*c**2 wrt c.\nAnswer: 120*c**3 - 24667800*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108065 divided by -3.\nAnswer: 108065\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 18480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 8*z**2 - 8*z - 4. Let c be u(9). Suppose 6*x - 486 = 2*x - g, -612 = -c*x + g. What are the prime factors of x*4\/8 - -1?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*z - 5 = 9, -4*t = -3*z + 2. Let u be (40\/(-5))\/t - (-200 + -1). What is the greatest common factor of u and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -428 divided by -6.\nAnswer: 214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 492 - -221. Is c a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.252, -0.045?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -1996 (c) 148 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.73 - -2.73. Which is smaller: 62 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, q: 7}. Give prob of picking 3 s.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/4)\/(y\/(y**3*y))*y**3\/(y*y**(-5)\/y*y)*y**(-2\/13)*y*y**(1\/9)*(y**(-1\/4))**(-7\/8) assuming y is positive.\nAnswer: y**(46523\/3744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3198 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111001111000100010100 - 1000?\nAnswer: 10111001111000100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/((-3)\/(-12)*-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 214.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2246 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -901 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 10:56 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3219.324 take away -2.880596?\nAnswer: -3216.443404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1470 + 1?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-2))\/(1\/(-2)) + 2. Let r = i + -7. Let j(s) = s**2 - 5*s - 3. Let u(d) = -d**3 + 2*d**2 - 15*d - 9. Let l(h) = r*u(h) - 7*j(h). What is l(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 3*a - 5. Let w be m(5). Suppose -p + 12 = 3*n + 1, 0 = -5*p + w*n - 5. What is the second derivative of -l**2 + l + l**4 + l**p wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 24439415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -210*a. Let t(b) = -b**2. Calculate t(z(i)).\nAnswer: -44100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*f, 3*f = -3*g - 2*f - 7. Let q be (-714)\/54 - 2\/g. Let k = q + 19. Calculate the greatest common divisor of 4 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = -12. Let c be u\/4 - (-3)\/12. Let k be 7 + 2*(c + 2). Solve 5*w = -k - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvttavvt. Give prob of picking 2 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/31796 (b) 0.2 (c) 4\/5 (d) 1 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 296, 1166, 2612, 4634, 7232, 10406?\nAnswer: 14156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1597 = 4*r, 216*l - 213*l + 4*r - 963 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 2\/3)*3. Let t = 5 - b. Sort t, -1, 2\/9 in descending order.\nAnswer: t, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 9 + -11 - 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -257, -618, -1157, -1892, -2841, -4022, -5453?\nAnswer: -7152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -39*x - 239 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(sqrt(5103) - (sqrt(5103) + (sqrt(5103) + -2*sqrt(5103) + -2 + sqrt(5103))**2)) + 5 + 2)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1874.2142\nAnswer: 749.68568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 77.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z - 0. Suppose z*u - 36 = 6*u. What is the common denominator of 75\/22 and u + 14 + (-47)\/(-10)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 16473?\nAnswer: 16477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73340*o**3 + 41*o**2 - 8*o - 101805786.\nAnswer: 220020*o**2 + 82*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((7 - -8) + 6 + -12) - -39) + 7.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:37 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + d**3 - 550*d + 550*d to the form q*d**3 + b + j*d + l*d**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + i + 109 = 4*i, -2*c + 56 = -5*i. Suppose 0*h - 6 = -4*t + 3*h, -10 = 5*t + 5*h. Suppose -3*a + c - 5 = t. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**4\/2 - 1463*r**3\/3 + 101018*r**2 + 482909*r - 1033055\/6 = 0.\nAnswer: -5, 1\/3, 307, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a gram in milligrams?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000122078 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 431566087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8601.11901 + -8601. Round r to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20225 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 940*i + 22459. Calculate l(-24).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + u + 5 = -9, -u = 2*d - 10. Suppose -5*h + 0*w - 8 = -3*w, -5*h - 9 = -d*w. Is h*7*(-2 + 1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29548801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1996.31, 2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -23?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/20 - 4*n**3\/3 + 13*n**2. Differentiate u(z) with respect to z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + t = 4*t + 23, h = 2*t - 1. Calculate the greatest common factor of 28 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.1116 minus 638749.59?\nAnswer: -638731.4784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 + 160. Suppose -y*k = 2*k + 5*f - 61, -3*f - 9 = 0. Which is the third smallest value? (a) -2\/7 (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-175275)\/(-2166) - 81)*(0 + -1)*2\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44661 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j + 15*j - 31*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(11) - (sqrt(11) - sqrt(99)\/(sqrt(9)*-2)))**2*-5 - ((sqrt(176)*5)\/(-3*-2*sqrt(4)))**2)*-2 + -4.\nAnswer: 1343\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2036 and 177764?\nAnswer: 90481876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - 5*g)*(-2 + 0 + 0) + 1 - 1 - g + 1 - 1 - 2*g + (-5*g + 3*g + 4*g)*(4 - 4 + 2).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 90 = -4*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2.15\nAnswer: -10.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155\/110050*142*0\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 45*f - 232. What is x(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**8\/336 - 23*i**3\/3 + 2. Let s(p) be the third derivative of y(p). Find r, given that s(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6666.789 litres to millilitres.\nAnswer: 6666789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 83. Suppose -p*i + 9*i + 32 = 0. What is the highest common divisor of 40 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -161*x**2 + 42*x - 151. Let i(n) = -40*n**2 + 10*n - 35. Calculate 26*i(q) - 6*w(q).\nAnswer: -74*q**2 + 8*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 13 + 22*v + 15*v - 69*v + 30*v + 7. Give l(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/20 + b**4\/12 + 47*b**3\/6 - 40*b**2. Let a be u(-11). Calculate the remainder when 61 is divided by (-4)\/6 + a\/(-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4680, 2\/3, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -605 + 621. Let x be 9\/12 + (-268)\/q + 3. Is x < -62\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/17 - 8294868*z\/17 + 8600604392178\/17 = 0. What is z?\nAnswer: 2073717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d + 115. Let q(k) = -3*k - 50. Let r(y) = 2*a(y) + 5*q(y). Let c(z) = 17*z**2. Give c(r(o)).\nAnswer: 17*o**2 + 680*o + 6800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 255 + -254.984. Let v = z + -0.0159943. Round v to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -14)\/((-16)\/32) + 0. What is the highest common factor of d and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 167*t + 1280. Let o be u(8). Let m(q) = 62*q**3 + 8*q**2 + 8*q + 8. Let d(c) = 21*c**3 + 3*c**2 + 3*c + 3. Calculate o*d(i) - 3*m(i).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2728289 + 1\nAnswer: -2728288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 2*r**2 + r - 2404. Let n(i) = 3*i**2 - i + 2406. Give 2*n(b) + 3*q(b).\nAnswer: 3*b**3 + b - 2400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 58*h**2 + 3*h - 29. Let r be q(-60). Is r not equal to 6992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 3 - 3 + (1 - 3 + 1)*(2 - 2*o - 2))*(6 + 0 + 2 + (1 - 3 + 0)*(6 + 3 - 31)).\nAnswer: 260*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -597*l + 4009. Determine x(6).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3596 + -57517\/16. Let k = -2732 - -38217\/14. What is the common denominator of k and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-1)))\/d**1)\/(d**(1\/4))**(2\/39) assuming d is positive.\nAnswer: d**(-157\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - -7 - (11\/5 - 0). Let y be -1*2\/3*-3. What is s in -2\/5*s + o*s**y - 2\/5 = 0?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26146091.0000036 - 26146068. Let b = 0.4 - 23.4. Let a = b + j. Round a to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = i + 321. Sort 0, 10, -15, i.\nAnswer: -15, 0, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 0\/(-1 - 9) - -1453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 1 e when three letters picked without replacement from zqzznqhehdeq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**6\/144 + t**5\/30 + 5*t**4\/12 + t. Let m(q) be the third derivative of n(q). What is the derivative of m(r) wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*n - 9, 3*n + 2*x + 4 = -1. Let j be ((-5)\/3 - n)*-4. Suppose -4\/3*y**4 + 4\/3 + 0*y**2 + 8\/3*y**3 - j*y = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + a = -7*c + 7, -3*c = -a - 11. Let j(t) be the first derivative of -c + 3\/2*t**2 + 3*t. Differentiate j(y) with respect to y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693)\/(sqrt(44)\/sqrt(4)))**2*-5 + 1 - (-2*(0 + sqrt(6300)*2))**2) + 4.\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/14)\/((-34)\/119). Let k be 42\/6 + (-3 - -1). Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737692 is divided by 337.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -13 + (25 - (-273)\/(-13))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**4\/11 - 17005790*g**3\/11 - 18074818599594*g**2\/11 - 27112198139266*g\/11 - 9037396545458\/11 = 0.\nAnswer: -2125723, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -20899, 2 in decreasing order.\nAnswer: 2, -1, -4, -20899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 + 13*a + 21. Let c be j(-2). Suppose 5161 = -c*h - 1846. What is h rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (4 + -9 + 83). Let c = -305\/4 - p. Let 3\/4*d + c*d**2 - 3\/2 = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3037955 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7513 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 129644152.1 to the nearest 1000000.\nAnswer: 130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + 0.8. Let h be (2\/4)\/(6\/4). Let v = -0.319 - -0.619. What is the nearest to v in h, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -12*q**2 - 4453*q - 17692. Calculate k(-4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/(160*(-22)\/(-2816))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from ejpbsipppsej?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:42 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10497787 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55077*k - 414325*k + 1929*k - 106601*k - 141122*k.\nAnswer: -715196*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1565 - 403*c**3 - 1580 + 4706 - 1561.\nAnswer: -403*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/3 in -3, 30, -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*w + 395 = 0, 5*w = w - 4. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -5. Suppose -3*r - 3*f + 81 = -w, 0 = -r + 2*f + 17. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 9*u**2 + 8*u + 5. Let r be a(8). Suppose -4*w - 12*c + 17*c = -468, 2*w + r*c = 204. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1389 = -5*l. Let v = l - -17595\/38. Is v not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 53. Calculate p(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 + -102. Let j(m) be the first derivative of 1\/6*m**l + 1\/15*m**5 + 0*m + 5 + 1\/9*m**3 + 0*m**2. Factor j(u).\nAnswer: u**2*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/13 - (-1)\/(-195)*-87?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1335 divided by 5.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5 - 31206*q**4 + 311559*q**3 + 2088444*q**2 + 3616236*q + 1870560 = 0.\nAnswer: -2, -1, 15, 10392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.983865 to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 + 4*v - 50. Let z be o(-7). Calculate the highest common factor of 46 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 39*n**3 + 2*n**2 + 101*n - 878. What is the tens digit of r(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2110 - -1?\nAnswer: -2109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-26)*s*s*s**(-4\/7)*(s**(-5\/3))**50 assuming s is positive.\nAnswer: s**(-2266\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7951 (base 10) in base 11?\nAnswer: -5a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let l = -161.4 + 161. Which is the nearest to 1\/5? (a) -5 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2190791, 2194228, 2197677, 2201144, 2204635, 2208156?\nAnswer: 2211713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -45*x + 10. Let j(b) = -b - b + 261173 - 261173. Determine n(j(k)).\nAnswer: 90*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24 - -852)*(0 + 62). Does 31 divide (0 - 1)\/((-36)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 645634 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 + -0.025502926875?\nAnswer: -136.025502926875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 315 - 135 = 0. Let b(t) = -53*t + 4 + j*t + 4. Determine b(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r + 2\/3*r**3 - 3\/5*r**5 + 0*r**2 + 0*r**4 - 2. Find the third derivative of g(p) wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 12. Let v = 5 - o. What is the biggest value in v, 4\/3, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -62.99999905. What is h rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n + 3. Let f be n\/(12\/9 - 1). Let o(j) be the third derivative of j**6\/120 + j**5\/20 - j**3\/6 - 2*j**2. Determine o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 5*d + 4. Let b be (-1 + -1)*(-1 - 1). Let o be z(b). Is (o\/12)\/((-2)\/69) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -19 + -1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:51 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-120))\/(3\/105).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19*x + 1191. What is l(64)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 150991, 151924, 152857, 153790, 154723, 155656?\n\"Answer: 933*v + 150058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h - 42. Let k be a(7). Solve s - k = -4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {w: 4, c: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4195*p**2\/3 - 30850090*p\/3 - 147080 = 0?\nAnswer: -7354, -12\/839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 300*a - 705. Does 57 divide t(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 93741460 and 60650.\nAnswer: 93802110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**2 + 76*c - 1008 = 0.\nAnswer: -28, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 1993.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 262736449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -63*y**5\/20 + 37*y**2\/2 - 57*y. What is the first derivative of r(w) wrt w?\nAnswer: -189*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 648 + -640. Solve 20 = 4*w, -2*w + r = 2*q - 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m + 3. Suppose 3*f - 2*a = -27, f + 27*a - 24*a - 13 = 0. Let y(k) = -7*k + 4. What is f*g(i) + 4*y(i)?\nAnswer: 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**3 + 5*t**2 + 9*t - 1. Let c(z) = 14*z**3 + 15*z**2 + 27*z - 4. Let a(d) = 6*c(d) - 17*r(d). Calculate a(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -2 - (1 - (-723)\/(-147)). Is 1 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = -q, 5*u - 3*q - 33 = -11. Solve -2 + 12 = u*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2. Let j(q) = -4*q**2 - 9*q + 4. Let d be j(-3). Let n be 65\/13*(8\/d - -2). Let z(o) = -3*o**n - 5*o**2 + 9*o**2 + o**2. Give y(z(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - c. Let h(g) = -19*g**2 + 1. Let w = -26 - -25. Let m(s) = w*h(s) - 2*i(s). What is the units digit of m(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(148\/(-28) + 8 + -3). Which is the nearest to -2\/7? (a) l (b) 6 (c) 5 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*0.868768\nAnswer: -0.5212608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 3*q + 1. Let x(w) = 3*w**2 + 8*w - 8. Let b be x(-4). Suppose 3*n - 2*p = -b, -3*n - p = n - 4. Let l be (2 + n - 4)\/(1\/2). What is d(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m = 38*m - 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.7 + 20. Let g = -0.66 + 0.06. Let d = g + 1. Which is the third biggest value? (a) d (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k - 1 - 2 + 3. Suppose 2*r + 2 = -3*f + 7, 8 = 5*r + 3*f. Let q(b) = r - b - 2 + 1. Calculate y(q(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_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: b\"What is the jth term of 69, 249, 557, 999, 1581?\n\"Answer: j**3 + 58*j**2 - j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14959596 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 26426?\nAnswer: 184982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/3)*(q*q**6)\/q)**(-5) assuming q is positive.\nAnswer: q**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3051574?\nAnswer: 2, 1525787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v - 5. Calculate j(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 4*d - 5. Let x be p(-5). Let m be (x - 2220)\/(4\/(-6)). Is m\/42 - 2\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 63 = -37 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - 3*c - 1. Let d be (-12)\/(-16)*40\/(-15). Give j(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z**2 + 2*z + 30. Determine m(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1096 and -0.3.\nAnswer: 0.03288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - i**2 - 33*i + 10. Is o(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*r + 5284 = -1216. Let n = r - 45. What is the greatest common divisor of 935 and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13811.3338 rounded to 0 dps?\nAnswer: -13811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 times 2?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 495804*k**3 + 14307*k?\nAnswer: 2974824*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*((-183)\/(-1) + -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43863 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3\/7, -4\/9, 15\/17.\nAnswer: -4\/9, 2\/5, 3\/7, 15\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1188, 1233, 1308, 1413, 1548, 1713?\n\"Answer: 15*m**2 + 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 - -208. Let z = 96 - l. Solve -7 - 1 = -4*o + 2*h, -3*o = -h - z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 814 = -2*i - 3*i, 0 = -2*i + 4*x + 316. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*z*z**(-4)*z**(2\/3)*z**(-3)*z*z)\/((z\/z**(1\/3)*z\/z**(2\/7))\/(z*z**(-2)*z*z*z*z*z**(1\/7))) assuming z is positive.\nAnswer: z**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 28*d**2 + 11*d + 48. Calculate p(28).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -17. Let s = -22.1853 + 0.1853. Which is the second biggest value? (a) h (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llg when three letters picked without replacement from llllllllglll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 + 1 + (-43)\/(-43). Suppose 0 = -4*j + 222 + 130. What is the remainder when j is divided by (-36)\/(-1*(2 - (t - 2)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (8 - (14 + -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {i: 1, k: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-10) + (2 - 8\/(-5)). Sort -2, c, -1 in decreasing order.\nAnswer: c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10012 (base 4) to base 16\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458219 is divided by 557.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -595\/6484 - 10846905\/12339052. Let k = 50\/173 + x. What is the common denominator of 103\/22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 8*b - 1. What is d(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a. Let q(c) = 17*c**2. Give q(w(k)).\nAnswer: 4352*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + n + 1. Does 7 divide x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 21*j**3 + 3*j**2 - 3*j. Let m(l) be the first derivative of 5*l**4 + 4*l**3\/3 - 2*l**2 + 1137. Calculate 4*a(h) - 3*m(h).\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*p = -12. Find l, given that p*l**3 - 28*l + 15*l**2 + 11*l - 3*l**4 - l = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**6\/360 - l**4\/24 - l**3\/3 - 4*l. Let a(p) be the second derivative of q(p). Suppose a(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -25001?\nAnswer: -24776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siiniinsnsss. Give prob of sequence isns.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 - 0.34. Let r = 0.15 - h. What is the third smallest value in -1\/4, -1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*i - 104 = -64*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 4*u**3\/3 + 2*u**2 - 8*u - 89. Let v(p) = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 4*i - 4*i)*(-320 - 734 - 62561 - 12593 - 10292).\nAnswer: 86500*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 49 + 47. Let r(n) = 6*n - 55. What are the prime factors of r(i)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 + 17*y - 17. Suppose -101 = 5*a - 4*k, 0 - 22 = 2*a + 3*k. Suppose -5*x = 19 + 11. Let r(q) = -q**3 - 6*q + 6. Determine a*r(m) + x*d(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:02 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r = i - 416, 5*r = -2*i + 520. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*g + 29 + 12, -114*z + 117*z + 42 = -4*g for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/2696 + -37785\/110536. Is f less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/463? (a) 1 (b) 1\/2 (c) 10 (d) 3.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nihg when four letters picked without replacement from {n: 3, h: 11, g: 5, i: 1}.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.652 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f = 11*f - 3*c + 10, -4*f - 4*c = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(1 + 315\/14). Find the second derivative of f*v**3 + 340*v - v**2 - 47*v**3 + 21*v**4 - 157*v wrt v.\nAnswer: 252*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-128)*8*9*20\/(-72)*28.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 + -7)\/((-1)\/(-1)). Suppose -2*p - d = -p. What are the prime factors of p\/4 + (-35)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*z - 10 = -2*w, 10 = 2*z + 2*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*n - 741 = 3*z, -3*z - 741 = n. Let q = 355 + z. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*5*(sqrt(320)\/sqrt(32))\/((sqrt(648) - 2*sqrt(648)) + sqrt(8)))**2.\nAnswer: 28125\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/31 and -95\/6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29957828.\nAnswer: 2, 7489457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {s: 1, f: 2, o: 10, q: 3}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2*i**2*y**2 + 201036*g**2*i**2 + 38237*g**2*y**3 + 5*g**2*y**2 + g**2 - 1248*i**2*y**3 - 4*i**2*y wrt y?\nAnswer: 229422*g**2 - 7488*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -11.2877\nAnswer: -79.0139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3290 in 1\/3, -1, -0.5, 53, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/3 - 4*a + 31. Let o(r) = 3*r**2 + 9. Suppose -61*y = -55*y - 84. Calculate y*j(g) + 6*o(g).\nAnswer: 4*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/99 and -43\/726.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405107 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*k**3*v + 11*k**3 + 648*k**2*v - 624*k*v + 6*k - 2*v - 15 wrt k?\nAnswer: -210*k*v + 66*k + 1296*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5500583017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 36, -5, -0.1, -4 in decreasing order.\nAnswer: 36, 0.4, -0.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/11, -4\/3, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {r: 1, o: 2, a: 6, z: 3, h: 5}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -735, -740, -745?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 14 = 4*u, 0 = 3*u + 4*n + 22 + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -12*m - 86. What is the closest to 0.1 in m, -0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 374 + -377. Put -71, h, -5 in descending order.\nAnswer: h, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 301 and 1918875.\nAnswer: 1918875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (123 - 111) + -42 - 2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1360262\nAnswer: 136026.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - (-134)\/6. Suppose 0*r = -2*r + j. Suppose -g + 20 = 4*g. Solve -r = -5*p + g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 18939.7 and 61155.90669.\nAnswer: 80095.60669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 2. Let r be l(-3). Suppose 0 = 5*o - 3*o - r. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-15))\/(50\/(-15)*-3)*-2\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 7.3. Let i = -1.3 - l. Let k = -3.07 + 0.07. Which is the third biggest value? (a) i (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 23, -4, 5\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*c + 48, -f + 94 = c + 3*c. Suppose 3*i + 320 = c*i. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1108919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 0.48, -9, 207\/2 in ascending order.\nAnswer: -9, -4\/7, 0.48, 207\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31645379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb9dd (base 14) to base 8.\nAnswer: 1570077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(sqrt(8) - sqrt(72)\/(-4*sqrt(9) - sqrt(9))))\/(sqrt(15)\/(sqrt(5) - sqrt(45) - sqrt(5))*-4))**2*-5.\nAnswer: -375\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198 + -200. Which is the second smallest value? (a) 1\/3 (b) n (c) -2\/15 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/30 and (4\/32)\/(1908\/(-592) - -3)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 31*k. Let s(a) = -4*a**2. Give g(s(o)).\nAnswer: -124*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/2520 - 14\/(-49)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+12.826783\nAnswer: 12.816783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7475 at most -7479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -15608*d - 3 + 8 + 15600*d + 6 + d**2. Let c be u(7). Sort c, 67, 1 in increasing order.\nAnswer: 1, c, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, 142, 643, 1428, 2497, 3850, 5487?\nAnswer: 7408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 4*d - 2. Let a be n(2). Factor 9*q - 3 + 7*q**4 + 2*q**4 - 10*q**3 + 4*q**3 - 3*q**5 - 6*q**a.\nAnswer: -3*(q - 1)**4*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:08 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 167*w**6\/90 - 11*w**5\/4 - 28*w**4\/3 - 2*w**3\/9 - 3860*w. Suppose f(n) = 0. What is n?\nAnswer: -1, -2\/167, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*r = -6, -3*v + 162*r - 158*r = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n, p - 2*n - 336 = -3*p. What is the remainder when p is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 11133*c**3 - 33417*c**2 + 33423*c - 11142.\nAnswer: 3*(c - 1)**3*(c + 3714)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 4. Suppose 30 = 14*u + u. Let s be k(u). Let i(z) = z**2 - 2*z - 21. Calculate the remainder when i(s) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 30 = 2*a. Suppose 16 = -4*w + 3*w. Let c = w + 22. Calculate the remainder when a is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 399\/76 - 1\/4. Suppose -693 = -x*u + 2*u. Suppose 0 = 6*j - u + 33. Calculate the greatest common factor of 22 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 2 g when four letters picked without replacement from vmggjvjemjjjgjjgjvm?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7446*v = 7444*v - 2, 0 = 4*d - 2*v + 22 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-35)\/(s**(-28)\/s))**35 assuming s is positive.\nAnswer: s**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqv when three letters picked without replacement from {q: 2, r: 3, v: 2, a: 8}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 7*n**2 + 11*n + 4. Determine j(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205839 is divided by 377?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 18. Put 3, q, 4 in descending order.\nAnswer: 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -82, -124, -168, -214, -262, -312?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -1\/160*y**6 + 1\/120*y**5 - 13*y + 0 + 3*y**2 + 1\/8*y**4 - 1\/3*y**3. Let x(k) be the first derivative of f(k). Factor x(h).\nAnswer: -(h - 2)*(h + 2)*(3*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) 9 (b) 0.6 (c) -181 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -4, -23, -60, -121, -212, -339?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 51. Suppose 2*h - 4*s = 84, -s = 3*h + 3*s - 156. What is the remainder when h is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5, o = 5*n + 902 - 25. Calculate the lowest common multiple of 33 and o.\nAnswer: 9372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/6 - 14\/(-4). Suppose 5*c - 22 = -4*a + g*c, -5*c - 10 = 0. Is (-623)\/(-49) - (-2)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 10*u - 4. Let g be t(10). Let a be (g\/(-5))\/((-4)\/(-10)). Solve 3*i - a*i + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143033112 (base 5) to base 4.\nAnswer: -2313222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-2*s + s - 2*s)*(2*s + 2*s - s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 379.98 + -380. Put t, 5, 1 in ascending order.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Solve 0 = -3*g - 3, 3*i + 4*g = -h - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 33132102?\nAnswer: 33132101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 12 = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ded when three letters picked without replacement from eemeemeeded?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41c - 2f?\nAnswer: 3ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 24*n**2 + 34*n**2 - 5*n + 19*n**2 + 10 - 78*n**2 - 4. Suppose 0*o + 3*o = -18. What is f(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 7, n: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -5 - 5 - -5) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05199 and 41.\nAnswer: -2.13159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 4. Let t be p(7). Let j(r) = 7*r**2 - 2*r + 1. What is the units digit of j(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:57 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1106 divide 9427544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144232 (base 5) to base 11.\nAnswer: 471a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (-11 - 30) - -7 - -35.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 5*f**2 - 5*f - 1. Let t be l(6). Suppose 3*y - t = -2*y. Which is greater: y or -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 - 73. Solve 0 = 5*u - 4*k - 5, -b*u = u - 3*k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 21 + 9*j**2 - 7*j - 9.\nAnswer: 9*j**2 - 5*j - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 675 divide 1781408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 336\/(-224)*30\/(-3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.048 + 0.048. Let d = -22.0000011 - b. What is d rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - 1*sqrt(468)*5)\/((sqrt(9) + sqrt(36)\/sqrt(4))*5)*-5)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143609812?\nAnswer: 2, 17, 2111909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*d - 34*d - 504 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 4 = 7*c. Let q be 2\/c - 2\/(-4). Let p(d) = 3*d - 1. Calculate p(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s + 10. Let y(d) = d + 1. Let h(n) = p(n) - 6*y(n). Let b(j) = 3*j + 9. Let o(i) = -4*b(i) + 9*h(i). Let u(k) = -2*k**2. What is o(u(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5457 is divided by 1694?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prrr when four letters picked without replacement from {r: 4, p: 14}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 27. Suppose x*w + 21 = 4*w. What is the smallest common multiple of w and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2571272 minutes in microseconds?\nAnswer: 15427632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10268 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2 - 0 - (-1)\/((-91)\/(-1183)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1 + 3\/1. Suppose 2*t = -x*j + 9, -5 = -j - 4. What are the prime factors of (-9)\/(-5)*10\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24482835 - -24482833.6699939. Let o = a + 1.33. What is o rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6607, -7146, -8043, -9298, -10911, -12882?\nAnswer: -15211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 161 - 161 - 58*t**3 + ((-t + 0*t + 2*t)*(-t**2 + 4*t - 4*t) + 4*t**3 - 3*t**3 - 2*t**3)*(-5 + 4 - 1).\nAnswer: -54*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.057.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 386 (base 12) to base 8\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161508 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224804 is divided by 1857?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**2 - 2*o**2 + 0*o**5 - 4*o**5 wrt o.\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*o + 7. Suppose r = -x + 907, 3*x - o*r = 1303 + 1418. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*-2.6\nAnswer: -28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5991060*f**4*g - 3*f**2*g + 2*f*g - 155192*f + 1 wrt f?\nAnswer: 143785440*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 10. Let l(w) = -2*w + 12. Let o(p) = 5*l(p) - 6*n(p). Let f(a) = -127*a. What is o(f(u))?\nAnswer: -254*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/((100\/15)\/10). Let t be ((n\/6)\/9)\/(5\/(-10)). Solve 2*h + u = 3*h, 0 = t*h + 5*u + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*m**3 - 245*m**2 - 241*m**2 + 291*m**2 - 207*m**3 - 328*m**2 wrt m.\nAnswer: -1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -5. Let d = 7 + q. Suppose -w - 15 = -d*w, 3*m = w - 5. Solve 6 = -3*u + 2*s + s, 5*u + 2*s + 17 = m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plbbplbywb. Give prob of picking 1 l and 1 b.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/26523 and 28\/54309?\nAnswer: 1140489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -189.70980538 - -189.71. What is c rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = -15, -4*a = 3*p + 65. Let z be 90\/(-35) + 6\/a. Let x(h) = h**3 + 2*h**2 - 3*h + 1. Let k be x(z). Is k less than or equal to 6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21977*g + 5049 = -22164*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/126 - (-7)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -44. Let h(d) = 21*d + 230. Let o be h(-9). Let i = u - o. Solve 4*y - 8 = x - 5*x, -3*y + 27 = -i*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12105145 > 12105146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 10. Suppose -m + o = -0*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/30 and 358\/110 - 17\/(-85).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -148 + 163. Solve 19*h - v*h - 16 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 2*k - 6, 0 = 5*s - s - 8*k - 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66109.4 times 0.5?\nAnswer: 33054.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4355 and 1474?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 41 = 2*l - 15, q = 4*l - 20 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.3369 or 5602?\nAnswer: 5602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 1251.9.\nAnswer: 876.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.056521 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 10*m**2 - m + 4. Let k(v) = v**3 + 7*v**2 + 6*v + 8. Let n be k(-6). Suppose -6 = -n*c + 2. Let i be (c\/3)\/(4*(-2)\/(-240)). What is y(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 36 = -6*k - 0*f + 5*f, 0*f + 14 = 2*f + 8 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74718 = -25*n + 248843. Suppose -14*x + n = -3213. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104945, -419722, -944355, -1678844, -2623189, -3777390, -5141447?\nAnswer: -6715360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/5)\/(-1)*40\/6. Let l(c) = -j*c**2 - 3*c**2 + 9*c**2. Let g(b) = 6*b**2. Calculate g(l(s)).\nAnswer: 24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/(((-65)\/(-90))\/(-13)). Solve 41 = 2*t + 31, -a - 5*t + q = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3206, 3275, 3360, 3461, 3578?\nAnswer: 3711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 11*g = 480. Calculate the remainder when g is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 928.1 + -920. Which is the smallest value? (a) -5 (b) f (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 2033235?\nAnswer: -2033234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001162097 to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 10. Let v be 4\/((-4)\/j*4). Suppose b - 8 = v*g + 7, b + 1 = -2*g. What is the remainder when 19 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from woowddwodoooow?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/120 + u**5\/6 + 3*u**4\/8 - 5*u**3\/3 - 12*u**2. Let f = 94 - 100. Is z(f) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y - 232 = -652 - 284 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*y - 6 - 15*y + 6*y**4 - 4*y**4 in the form k*y**4 + x + q*y**2 + a*y**3 + t*y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 807, 3384, 7687, 13716, 21471, 30952, 42159?\n\"Answer: 863*y**2 - 12*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 5*b + 8. Let v be x(-6). Let t be (-110)\/(-35) + 3\/(-21). Solve -4*i**3 - 5 + 6*i**3 + 27*i**v - 45*i - 5*i**t + 26 = 0 for i.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -250 + 250.07. Let q = 0.01 + -0.32. Let s = l - q. What is s rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 578539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3978175, 3978372, 3978567, 3978760, 3978951?\nAnswer: 3979140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i**(-1\/2)*i)\/i)\/(i\/(i**(1\/3)\/i*i)))**7)**8)**(-15\/8) assuming i is positive.\nAnswer: i**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329866923.\nAnswer: 3, 19, 71, 81509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -498, -1\/5, -22\/815, 4 in decreasing order.\nAnswer: 4, -22\/815, -1\/5, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 8. Suppose 6*i - 4 = 8. Suppose 1 = -i*c + f, 3*f = -f + 4. Calculate a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*s = 157*s + 141*s - 3856362. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13115314 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3330 = -13608*f + 12498*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/96 and 97\/56.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36\/2965 (b) 353 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -926.8 - -943.691. Round z to 1 decimal place.\nAnswer: 16.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194285 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/(j**(3\/2)*j)*(j**(-1))**(-47))\/(j**(-6)\/(((j*j**(4\/9))\/j)\/j*j*j))**(2\/7) assuming j is positive.\nAnswer: j**(6253\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2 = -2*m, 5*k - 5*m - 155 = -120 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.2, 2\/1539, -4, 2\/13, -2\/19, 3\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16247*m + 7654 wrt m?\nAnswer: 16247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067 = 8680*q - 4371*q - 4362*q for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 2213?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353 + -0.126?\nAnswer: -1353.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 2*l**2 - l + 1. Let r be k(-2). Solve u + 0 = r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -31. Let j be 16\/(-6)*15\/50. Put m, 5, j in decreasing order.\nAnswer: m, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -255110942106.\nAnswer: -255110942107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -4 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2653173?\nAnswer: 3, 17, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1.1. Let c = 3 - 1. What is the biggest value in 3, y, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + -8055?\nAnswer: -8037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4808 to 2 decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.81 + -0.81. Put 0.1, -12, o in descending order.\nAnswer: o, 0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 17. Differentiate 21*d**4 + 17*d**4 - 29*d**t - 7 wrt d.\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 4*a**2 + 3*a**2)*(0*a + 0*a + a**2)*((-1 + 0 - 1)*(-4 + a + 4) + a - 5*a + 2*a + 2*a + a - 2*a).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16213744 and 3184?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 10010457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 648*u + 1280.\nAnswer: 4*(u - 160)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((((-1584)\/(-22))\/(-3))\/(-10)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 690\/(-414)*((-1 + -1)\/(-2) - (-432)\/(-756)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -95*s + 1033. Let a(b) = -63*b + 709. Determine 7*a(u) - 5*o(u).\nAnswer: 34*u - 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22847900 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*1 - 18212\/(-12560).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 15, 15038 in ascending order.\nAnswer: -8, -1, 15, 15038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.4, -1, 4, 776, 0.3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**2 - 2*v - 10. Let x be z(-3). Suppose -5*l - 4*o + 806 = 0, -o - x = -l + 95. Calculate the remainder when l is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -q + v, 0 = -v - 32 + 34. Does 65 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 20, -3*u + 12 = 2*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13975 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -16500 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 93 in -0.32, -6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 589078675*y**3 + 448398414*y**2.\nAnswer: 3534472050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16012 + -2?\nAnswer: 16010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -35\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.89856nm to meters.\nAnswer: 0.00000005289856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 + 10858 + 18*r**2 - 10858.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in -3\/5, -3, 51119?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**5\/10 + k**3\/6 + k**2\/2 + 23*k. Give j(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0465 and 0.83.\nAnswer: 0.7835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 32*p**2 + 9*p + 9. Let a(b) = -40*b**2 - 10*b - 11. Give 3*a(o) + 4*n(o).\nAnswer: 8*o**2 + 6*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -3.\nAnswer: -10, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/(-20) + (-429)\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434245.\nAnswer: 5, 7, 19, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Let i be 4 + w + (-164)\/20. Let v be ((-3)\/(-2))\/(2\/(-4)). Sort 0.2, v, i in descending order.\nAnswer: 0.2, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3401*d**5 + 36*d + 60?\nAnswer: -68020*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 116*l**2 + 871*l + 756.\nAnswer: (l + 1)*(l + 7)*(l + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 293803893*c - 310146730 wrt c.\nAnswer: 293803893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 + b**2 + 3*b + 3. Let g be ((-1)\/(-2))\/(3\/(-12)*2). Let v be d(g). Solve -h - v = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*m + 12 = 0, -m = -3*k + 3*m + 16. Suppose -4*d = 110 - 122. Suppose -3*c + 18 - 3 = 0. Solve u - c*h + d = k, -2*u + 0*h + 9 = 5*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51511526 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 276 = -2*m. Let c = m + -39. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 27, 38, 49, 60, 71?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 323. Let h(i) = 3*i. Give u(h(g)).\nAnswer: -3*g + 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 + 26*q - 44. Let f(s) = -s**2 + 9*s - 15. Let d(w) = -17*f(w) + 6*o(w). Determine d(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1334 - 576. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0, 0.1185, -2, 5, 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 15 + 10*i - 2*i - 14.\nAnswer: -2*i - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -64835.\nAnswer: 42\/64835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1634749 is divided by 181638?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*r - 51, -y - 5*r + 37 = -54. Suppose 8*x - y = 2*x. Which is smaller: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 - 5*w**2 - 8*w - 8. Let r be b(9). Suppose -l + 31 + r = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-24) - (-15)\/(-90) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 - -96. Calculate the remainder when 95 is divided by (1 + (-68)\/12)*(-36)\/l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(162) + -4 + 3 - (((sqrt(200) + -1)*-1 + sqrt(200) - sqrt(200))**2 - ((sqrt(200) - sqrt(200)*-1*2)**2 + sqrt(200))).\nAnswer: 48*sqrt(2) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/((-10)\/9))\/((-7)\/(-14)). Suppose -7*v - 5280 = -q*v. What is v rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 840 and 1657320?\nAnswer: 1657320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-50) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/23 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49, -41, -131?\n\"Answer: -90*j + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 96*c + 1. Let v(b) = -68*b**2 + 2. Give n(v(d)).\nAnswer: -6528*d**2 + 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (13 - (43 + -25))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12282 + -1.2.\nAnswer: 12280.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 8\/5, -45, 3\/68, 1?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100\/9 + 536\/45. What is the smallest value in -0.3, -4, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:31 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 156229035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**3 - 7385*a**2 + 3055715*a - 234986895 = 0. Calculate a.\nAnswer: 99, 689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 11*c**2 + 11*c - 7. Let f be k(10). Let b(v) = -9*v - 4*v**2 + 0*v**f - 2*v**2 - v**3 - 1 + 8*v. Give b(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2 + 333870*a - 9289098075 = 0 for a.\nAnswer: 55645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 700 - 610. List the prime factors of (-3378)\/(-21) + d\/(-105).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2 (b) -0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 33 + (-1 - ((0 - 2) + -6))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((28\/25)\/(-7))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*128622196\nAnswer: 9003553.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143.9 + 144. Suppose -12 = -4*f + 8. Which is the closest to f? (a) u (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*z = 146, d + 37 = -0*d - 2*z. Let x = 21 + d. Let l = x + 32. Calculate the highest common factor of 242 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((4*(sqrt(252) + -4 + sqrt(252) + sqrt(252) - sqrt(252)) - sqrt(252)) + ((sqrt(252) + sqrt(252)*-1)*-6 - sqrt(252)) + 2)*1 + 2)**2.\nAnswer: -864*sqrt(7) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 4 + 4)*(1 + 4 - 3) - 1 + 1 + 1 - 3 + 4 - 3)*(-11*q - 10*q + 18*q)*(0*q + 2*q + 0*q) to j + d*q + f*q**2 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 9 + 66 = 0. Suppose w - 4*g - 571 = 486, -g = -o*w + 3149. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 3. Suppose f = 5*f - y. What is the third derivative of -l**4 - 2*l**4 - 83*l**f + 90*l**2 wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-66))\/((-1)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 20 - 11)*(2 - 2 + 2)*(-2*v + 0*v - 4*v).\nAnswer: -264*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13850 or -263147\/19?\nAnswer: -13850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjnntxq. What is prob of picking 1 q and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 68*n - 27. List the prime factors of h(7).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/79100 and 91\/5113250?\nAnswer: 71585500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22278 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from qcz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.17 and -38.580366487?\nAnswer: 38.750366487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 1)*(-6)\/8. Let z(b) = b**3 + 5*b**2 + 4. Let u be z(-5). Suppose u*d - 99 = -3*h, 6*h - c*h + d - 99 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3065 - 23?\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21374 to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*f - 2*f + 26, 0 = -4*q + 3*f + 30. Let g(l) = -l**2 + 10*l - 10. Let d be g(q). Put d, 4, 3 in ascending order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27546810 to the nearest integer?\nAnswer: 5249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 5\/8 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 0*s**2 - 49\/5*s**5 + 0*s + 194 - 12*s**3 + 0*s**4. Find the third derivative of b(x) wrt x.\nAnswer: -1176*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12756 and 34016?\nAnswer: 102048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {n: 7, j: 5, p: 5}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1 - 2 + 224*h - 216*h + 6*h**2 + h**3. Let k(r) = 3*r**3 + 13*r**2 + 17*r - 3. Let l(m) = 5*j(m) - 2*k(m). Determine l(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -8*i + 12*i. Suppose -7*d - 51 = -n - 2*d, 4*n + 5*d - 154 = 0. Let q = n + i. Calculate the smallest common multiple of 7 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 5447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 40\/6*171\/76\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 352723b - 3?\nAnswer: 3527238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.71 - 2.71. What is the third smallest value in 1\/19, -4, d?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95691557*h**2 - 95691557*h**2 + 37*h**3.\nAnswer: 37*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 44622.\nAnswer: -5\/44622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166492.\nAnswer: 2, 107, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncp when three letters picked without replacement from ffffpncofsfsffpso.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:55 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -140*o**5\/11 - 274*o**4\/11 + 3372*o**3\/11 - 144*o**2\/11 = 0.\nAnswer: -6, 0, 3\/70, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**4 - 65522*u**3 - 2*u**2 + 608*u - 7?\nAnswer: 24*u - 393132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -411, -794, -1177?\n\"Answer: -383*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -1\/60*b**6 + 3*b**2 - 1\/105*b**7 - 1\/672*b**8 + 0*b + 1\/60*b**5 + 0 + 1\/6*b**3 + 5\/48*b**4. Factor z(w).\nAnswer: -(w - 1)*(w + 1)**3*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 817 + -478. Let f = g - 237. Calculate the lowest common multiple of 2 and f.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2783671 is divided by 25078.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -40, -25, -4, 23?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m - 5356 + 5356. Let k(c) = -5*c**2. Determine o(k(b)).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1084 - 1083.9. Sort -2\/13, 1\/6, u, -0.4 in increasing order.\nAnswer: -0.4, -2\/13, u, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 0*h + 3 - 6*h. Let m(v) = -v + 1. Let r(i) = 45*i - 45. Let t(u) = -36*m(u) - r(u). Let n(z) = -17*d(z) + 6*t(z). Give n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 615 + -611. Solve 4*f + 3*a + n = 2*a, -a - 4 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*z + 251 - 177 - 3630 = 0 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*h**4 + 82*h**3 - 3*h**2 + 24*h**4 - 31*h**3 - 2*h + 5*h**2 + 34*h**4 - 2 as r*h**2 + g*h + p + x*h**3 + f*h**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 + -0.8. Put 5, 3, h in decreasing order.\nAnswer: 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*p + 369 - 324 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:25 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 1170, 2740, 4940, 7770, 11230, 15320?\nAnswer: 20040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(396))*-5)**2.\nAnswer: 900*sqrt(11) + 10125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3172 + -198?\nAnswer: 2974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + -15 + 33 + (9 - 10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -846 - 856 - 2*b**3 + 1710 as z*b**2 + g + n*b**3 + d*b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.2 and -1.8932.\nAnswer: 47.70864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/891007?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-2\/15)\/m)*m\/((m**(1\/4)*m)\/m))\/(m**(-5\/2)*((m\/(m*m**(-1\/5))*m)\/m)\/m))**32 assuming m is positive.\nAnswer: m**(2968\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**9\/272160 + s**8\/30240 - s**7\/11340 - 7*s**5\/60 - 7*s**2. Let n(y) be the third derivative of c(y). Factor n(j).\nAnswer: -2*j*(j - 2)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -32. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7600 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 1, 5, 101 in ascending order.\nAnswer: 1, 5, 35, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - q**2 + q. Let j = 1 - 0. Let g = -176 + 602. Let i(h) = -145 + h**3 - 142 + g + h**2 - h - 139. Give j*x(v) + i(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2675 and 428?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a*f**3*i**2 - 10*a*f**3*i + 28*a*f**2*i + 3*a*f*i**2 wrt f.\nAnswer: 48*a*i**2 - 60*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q. Suppose 2 = i - q*i. Let w be (-4)\/14 + 4\/14. Solve w = -i*d + 7*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137457 >= -412367\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67402 take away 83?\nAnswer: -84.67402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*s = -5, -7 = -2*g - 3*s - 21. Let w be 0*5\/5*g. Is (w + -2777)*(4 + -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*b - 7479, -26*b + 4469 = -23*b - 4*v. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = 2*k + 1, -4*w + 44 = 2*k. Which is the nearest to w? (a) -7\/5 (b) 2\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1 (base 11) to base 13.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - 1.5. What is the nearest to -1 in n, 0.4, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 17. Let l(t) = 2*t**2. Calculate l(g(h)).\nAnswer: 8*h**4 + 136*h**2 + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 0.0079098901?\nAnswer: -0.9920901099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -102333023?\nAnswer: -102333022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-21) + 19\/(-3). Let r(m) = -m + 5. List the prime factors of r(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (50\/(-15))\/((-6)\/9). Solve 0 = -w*y - 6 + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1323 - 0.1323166. What is y rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2534524 and 75\/22.\nAnswer: 27879764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 43. Which is the closest to -0.2? (a) 3 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-972478 + -3)\/((2\/3)\/((-6)\/9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 11*x + 7. Calculate y(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -27 (c) 9105 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -66, -153, -274, -429?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*b**2*h + 12*b**2 + 9*h + 1 with respect to h.\nAnswer: -11*b**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 1. Let j(s) = -s + 18. Let i(g) = 2*g**3 + 4*g**2 + 6*g + 9. Let p be i(-2). Determine p*q(k) - j(k).\nAnswer: -2*k - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(343))**2*3*6 - (-4*(sqrt(56) + (sqrt(56)*-2 + sqrt(56) - sqrt(56))))\/((sqrt(72) + -2*sqrt(72) - sqrt(72))\/sqrt(9)).\nAnswer: 2*sqrt(7) + 395136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*t - 34, -s - 14 = -3*t + 5*t. Let w be 17890\/t - 20\/(-30). Let j = -12009\/4 - w. Calculate the common denominator of j and 3\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3338*t**5 - 13*t**4 - 76*t**3 - 2*t**2 + 678871 wrt t?\nAnswer: 200280*t**2 - 312*t - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*d - 2*m - 114, 2*m - 268 = -4*d. Suppose 5 = -15*i + d. Suppose -2*c + 20040000 = i*c. What is c rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 705 and 5311?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 4:52 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -14. What is the remainder when u is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 4067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 23*k - 170. Let z be g(6). Solve -5*n + 2*w + 10 = 0, -5*n + z*n - 3*w = -19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9981 is divided by 345.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4328550, 8657082, 12985614, 17314146?\n\"Answer: 4328532*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/20 - 4411\/180. Let n = y - -86\/9. What is the common denominator of n and 109\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 6 + 33. Suppose -2*s + 28 = 5*k, -s - 3*k + 7*k = -14. Let x = s + l. Solve 2*t + 9 = -x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - 35. Let r = 20 + -14. Is 23 a factor of (w + 0)\/(r\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*42*((-10)\/(-5))\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + r - 6 = 0, -g + 0*r + 7 = 2*r. Let c = g - -1. Suppose 3*o + 2*t = 26, -c*o - o - 3*t + 24 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1977.\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/((-122)\/1281)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18047, -17929, -17733, -17459, -17107, -16677, -16169?\nAnswer: -15583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 23. Solve c - 4*d - o = -7*d, -c = -2*d + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 - 21*k**3 + 20*k - 17*k**3 + 2*k**2 - 10*k + 36*k**3 + 1. What is d(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/7144 and 61\/114304.\nAnswer: 114304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109897675.\nAnswer: 5, 29, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/(122\/(-11956)*84)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.126152 to four dps.\nAnswer: -0.1262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -33. Suppose -3*d - 4*x + a*x = -48, -2*d + 3*x + 45 = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 28.44. Let w = j - 3.56. Let c be (-2)\/7 + (-76)\/(-168). Put c, w, -5, -1\/5 in descending order.\nAnswer: c, -1\/5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0468 (b) 0.1 (c) -0.099 (d) -8\/11 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n + 92. What is f(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(171) - (1*sqrt(171) + sqrt(171))*-6)\/(3*sqrt(144))*2)*-6)**2.\nAnswer: 156*sqrt(19) + 3247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375)*2*2)\/(1*sqrt(12)*1) + -1.\nAnswer: -1 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 + -130. Suppose -q*t + 93 = u, -3*u + 465 = 2*u - t. What is the remainder when u is divided by -32*(-2 - (-1 - 0))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8508 is divided by 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -23*v + 25. Let b be c(-9). What is the greatest common factor of b and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0*u)\/u)**45\/(u**(-3)*(u**(-3\/2)\/u)\/u))**(-11\/6) assuming u is positive.\nAnswer: u**(-143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 e when four letters picked without replacement from vovoossevoosso.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303220 + 211111332?\nAnswer: 210202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 500 by -4.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(sqrt(200) + (sqrt(200) + 0 + sqrt(200) + 1 - sqrt(200))) + ((sqrt(200) + -2*sqrt(200)*-2)*-4 + 5)**2.\nAnswer: -1700*sqrt(2) + 80040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**3 + 2*c**2 - 3*c + 23. Determine q(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5006 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7662*x**2 + 26. Let h(s) = -5*s. Determine q(h(y)).\nAnswer: -191550*y**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -272*s + 54*s + 213*s. Let a(w) = 156*w - 1. Determine a(j(t)).\nAnswer: -780*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 + 5750. Let m(z) = 13*z. Determine m(s(y)).\nAnswer: 52*y**2 + 74750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88298 and 58310?\nAnswer: 3090430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 0.0921\nAnswer: 0.11052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 92583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from eeqqeqqqeqqedqe?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (152\/(-190))\/(35\/(-25))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(343))*3 + 0 + (sqrt(343)*1)**2 + ((sqrt(14) + (sqrt(2016) + sqrt(2016)*1 - sqrt(2016)))\/(-3*2*sqrt(2)))**2.\nAnswer: 21*sqrt(7) + 13351\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from fffwzwpizyywwzz?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001244766 rounded to 7 dps?\nAnswer: -0.0001245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 + 152. Suppose 4*h = b + 177. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6228 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -10. Let f = -54 - -158. Suppose 30 = s - 0*s + 2*x, -4*s - 4*x + f = 0. Calculate the highest common factor of s and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22013?\nAnswer: 22013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**2 - 56*q + 10. Calculate the remainder when i(-5) is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.9 - -15. What is the second biggest value in 5, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 100 + 35 + 11*k**3 + 32.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-700)\/84*(-30)\/25.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Suppose y*t = -5*t + 25. Solve c + t = 5*x + 10, 5*c - x - 1 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2057.2 - 2057. Let q = -2 - 0. Sort -6, q, f in descending order.\nAnswer: f, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 28*b - 12. Let m(l) = -38*l + 16. Let h(u) = 4*a(u) + 3*m(u). Let o(r) = -35*r - 2 + 2. What is o(h(c))?\nAnswer: 70*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f. Let w be i(3). Let k be -3 - w\/4*-2. Are k and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0718 + 0.0282. Let l = -16 - -22. Which is the closest to 0? (a) v (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = -0*a - a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3. Let i be g(1). Suppose 3*m - 2*j = -i*m + 259, -206 = -4*m + j. Let t = -26 + m. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*u - 70*u + 108*u = 7440 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a04c6 (base 14) to base 5.\nAnswer: -2030244021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwhwhwwhhcwqh. What is prob of sequence ww?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91370427?\nAnswer: 3, 17, 37, 41, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 10*c + 8. Suppose -44 - 40 = -t + 4*u, 0 = 2*t + u - 150. Suppose -80 = -v - t. Does 16 divide s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3051 (c) -1 (d) -3 (e) 1\/5 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 647070.78 and 21555.\nAnswer: 668625.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206603.\nAnswer: 206603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-16 - -22) + -1 + -17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 15, -0.1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*6\/(-48))\/(15\/10)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 487625920 by -2528.\nAnswer: -192890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 75, 44649.53 in increasing order.\nAnswer: 5, 75, 44649.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**5 + 4495*w**4 - 784915*w**3 - 11953075*w**2 + 12733500*w = 0.\nAnswer: -15, 0, 1, 260, 653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 - 7 = 0. Let d(u) = 2*u - 9. Let y be d(i). Suppose 34 = y*r + 4. Solve -l + r = 3*h - 5*l, 0 = h - 2*l - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - f**2 + 11*f**2)*(0*f**2 + 16*f**2 + 4*f**2).\nAnswer: 220*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000652854 to 5 decimal places.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 141.2. Let h = d + 108. Let i = -17 + h. Round i to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117297 to the power of 1\/2, to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -1 - 4)\/1. Let r = 197 + -192. Suppose -2*w = -0*v - v - 9, -r*v = -w. Sort -2, v, k, 4 in descending order.\nAnswer: 4, v, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-85)\/(-34)*(-12)\/(-10). Suppose 0*k - 3 = -y*k. Suppose 3*v + 4*j - 14 = 0, -2*j = v - 6*j + 6. Solve v*l = l - k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 12*c + 1. Let z(g) = 3*g. Give -4*k(d) + 18*z(d).\nAnswer: -4*d**2 + 6*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v = -6. Let t be (-15)\/21*v\/10. Sort -0.3, t, 2\/5.\nAnswer: t, -0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 20 = -4*j. Suppose 2*x - q - j = 0, q - 5*q - 13 = x. Suppose -2 = -5*m + x, 3*m + 97 = 5*k. Solve 2*z + 3*z = -k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193774988 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**6\/120 + 3*m**4\/8 + 22*m**3\/3 - 3*m**2 - 41*m. Let w(k) be the first derivative of l(k). Differentiate w(o) wrt o.\nAnswer: -3*o**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 447 by -149.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 5. Let c(q) = 9*q**2 - 21. Let s(o) = -5*c(o) + 21*r(o). Let k(u) = 54*u**2. What is k(s(m))?\nAnswer: 486*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18090125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/3 + 31*q**2\/3 + 65*q\/3 + 11 = 0. What is q?\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 13922 = 2*c, 3*c + 2*c - 34835 = b. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/24 + j**3 - 29*j**2. Determine z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1244104 and 131\/2064.\nAnswer: 320978832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/35)\/(453\/(-1510)). Let y = 0 - 3. Which is greater: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 49*n**3 + 7*n**2 + 4863*n + 9717. What is t(-2)?\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4321 (b) 0 (c) 2 (d) 1.89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27950324.\nAnswer: 2, 113, 61837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-72)\/42)\/(-3*(-5 - (-497)\/98)). Put 1\/2, 0, -4, x, -5 in decreasing order.\nAnswer: x, 1\/2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - -6)\/18*-6. Suppose 5*h - 71 = s*o + 287, -76 = -h - 4*o. What is the highest common divisor of 396 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - 3*a**2 - 2*a - 4. Let h(d) = -5*d**3 + 4*d**2 + 3*d + 4. What is 4*b(g) + 3*h(g)?\nAnswer: g**3 + g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 102*u - 403. Let z be g(4). Let w(v) = 4. Let o(c) be the second derivative of c**5\/20 + 5*c**2\/2 + 21*c. Calculate z*w(n) - 4*o(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 797 + -1339. Do d and -542 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -5 + (48 - 24).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*1)\/(186\/114). Let k = u - -1041\/434. Calculate the common denominator of k and -109\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 339 + -339. Suppose -2*g - q = q - 3744, w = -2*g + 2*q + 3724. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*k - 611*k + 17*k**2 + 17*k**2 - 67*k**2 + 30*k**2.\nAnswer: -3*k**2 - 477*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-298)\/((-9)\/((-27)\/(-6))). Suppose -5*z - 79 = -j. Calculate the highest common divisor of 42 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -1 (c) -3 (d) 0.089806\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one quarters of a meter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) -0.2 (c) 2\/5 (d) -2.2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*-3*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/80 and -67\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -6 + -11 + -11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/20 + 5*i**4\/6 + i**3\/3 - 7*i**2 + 2*i. Suppose -2296 + 2016 = -28*u. What is k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -58*k**4 + 2*k**3 + 2*k**2 - 15. Let g(s) = -291*s**4 + 11*s**3 + 11*s**2 - 76. Let p(t) = -2*g(t) + 11*v(t). What is the derivative of p(j) wrt j?\nAnswer: -224*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2 = -2*n, 1045*f - 1041*f + 4 = -6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 - 251 - q + 128)*((0 + 1 - 2)*(-4 + 1 + 1) + 1 + 0 - 2).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*u. Suppose -4*h + 20 = -0, 5*h - 13 = u*n. Let i = 14 - n. Solve 0 = -0*z + 2*z + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1738, 1709, 1632, 1489, 1262, 933?\n\"Answer: -3*p**3 - 6*p**2 + 10*p + 1737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csa when three letters picked without replacement from cccas?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 15 - 95. Let v(j) = -310*j + 13030. Let g be v(42). What is the highest common divisor of g and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 18*w - 19*w. Let i be (39\/9 - w)\/((-6)\/(-18)). Suppose 3*m - 15 = 0, -i*m = 5*b - 1489 + 214. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3257.165 * 0.7.\nAnswer: -2280.0155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10048510?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.045 - -1.545. Which is greater: t or -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.2, 5, 4, -17?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 17*l**2 - 2*l + 33. Let i be s(17). Which is the third smallest value? (a) -0.3 (b) i (c) 0.8 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066276 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2*8)\/(-1). Solve 5 = -4*p + 5*l, 0 = f*p + 3*l + 12 + 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 3 + 0)*-1. Suppose h + b*h = 0. Suppose h*v = -3*v + 15. Solve -2*x + 12 = 2*x + 2*d, -4*x + v*d + 26 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*z + 95*z + 134*z + 336 - 39*z wrt z.\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3219\/77 - -2\/385. Let t = -42 - h. Let x = 0.12 + -1.12. Which is the third smallest value? (a) 2\/3 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -668, -1121, -1688, -2399, -3284, -4373, -5696?\nAnswer: -7283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2*l*y - a**2*l - a**2*y**2 + 44609*a**2 + 2*a*l*y**2 + 1979*a*y**2 + 7*l*y**2 + 3*y wrt a?\nAnswer: -6*l*y - 2*l - 2*y**2 + 89218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117533419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d66 - -18?\nAnswer: 6d80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-4)*-8*3\/120. Which is the second smallest value? (a) 36 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**4\/12 - 26*c**2 + 2*c. Let s(i) be the second derivative of 5*i**3\/3 + i. Determine q(s(v)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -143, 2 in descending order.\nAnswer: 2, -2, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64a73441 - -3?\nAnswer: -64a73439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4586 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 21. Let j(d) = 2*d + 43. Let a(t) = -13*f(t) + 6*j(t). Let r be a(-14). Which is bigger: -6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21191 - -1059601\/50. What is the common denominator of 97\/260 and w?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1)\/(-1) - (155 - 152).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + (sqrt(1008) - -1*sqrt(1008)))*-1*4)**2*-4.\nAnswer: -258304 - 6144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 33 - 49 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2, 15\/8, -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + (1 - 0) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 7*h. Let m = -94 + 96. Solve h = m*n + 4*w, 2 = 5*w - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/400 and 115\/13748.\nAnswer: 1374800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 1106752?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -0.137?\nAnswer: 0.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -6*s + 2. Let f(r) = -2*r + 2. Let l be f(-3). Suppose s*g = l*g. Solve 2 = -b - g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2147360, -4294721, -6442082, -8589443?\n\"Answer: -2147361*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/108*12)\/(1\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5*p + 3 + 1 - 7.\nAnswer: -5*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 - n - n**3 - 1 + 3*n + 2*n**3 to the form z*n + t*n**2 + d*n**3 + s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 406, 7241, 20494, 40165, 66254, 98761, 137686?\n\"Answer: 3209*z**2 - 2792*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/7))\/o)\/o)**(7\/8)\/(o**5\/o**8)*(o**2)**(-3\/2)*(o\/(o\/(o\/(o*(o\/(o**(-8)*o))\/o))))\/(o**2*o) assuming o is positive.\nAnswer: o**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*r - 116*r + 6184 + 4176 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -11, 5 in ascending order.\nAnswer: -11, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1008)\/231)\/4*297\/135?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 3 - 3) + 468\/3. Let s = -141 + y. Calculate the lowest common multiple of 6 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/467575 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l - 2. Let m(x) = 2*x - 1. Determine -7*m(s) + 2*z(s).\nAnswer: -4*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 762*a**4 + 4669 - 217 + 9038 + 3*a**2 - 390*a**4 + 5*a**3 - 341*a**4 wrt a.\nAnswer: 124*a**3 + 15*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 16999 (b) -18\/43 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172699177 is divided by 2616654?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3. Give m(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 4*d - 3. Let x be w(-2). What is the units digit of (x - 39\/(-9))*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 7*c + 6*c + 17*c**3 + 228*c**3.\nAnswer: 245*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y**4 + 3*y)*(-1 + 1 + y) + (-4*y**2 - 3*y + 3*y)*(2*y**3 + 0*y**3 + 0*y**3) - 4*y**5 + 0*y**5 + y**5.\nAnswer: -9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + p. Let w(h) = -h**3 + 6*h**2 - 31*h + 67. Let c be w(3). Let l(v) = -28*v + 12*v + 16*v + 3*v**3. What is c*l(q) - 2*g(q)?\nAnswer: 5*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53623000 rounded to the nearest 1000000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**18\/f**(-1\/11)*f**(-2\/27)\/(f\/(f*f**36)*f*f) assuming f is positive.\nAnswer: f**(15449\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -0.2 (b) 0.5 (c) 22 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 14 = 2*w, -27 = -w - 3*a + 8*a. Suppose -14 - 7 = -k + 2*x, w*x - 23 = -3*k. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 4 - 4 - (15 - 0 - (-35 - -47))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 10*d**2 - 18*d - 17. Calculate c(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - 6*j**2 - 12*j**2 + (5*j + 0*j - 6*j)*(28*j - 13*j + 84*j) to z + p*j + l*j**2 and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (5 + -11)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167396*d**5 + d**2 - 28729 wrt d.\nAnswer: 10043760*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2. Let g(j) = 0*j - 3*j + 2*j + 0*j. Give x(g(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 2*z - 1. Let p(m) be the second derivative of m**3\/3 + 3*m**2\/2 + m. Let g be p(-2). Give i(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131115 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -300 + 302. Suppose -4*i = -3*b - 12 + 2668, 1780 = f*b - 5*i. Calculate the remainder when b is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 2. Let l(b) be the first derivative of -b**2 - 3*b + 30. Determine 3*k(v) - 2*l(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 102 = 2*a, 5*a - 294 + 39 = d. Let f = -51 + a. Solve 5*w + m + 5 = -f*m, 2*m + 5 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 5*u**2 + 6*u - 1. Let q be b(-5). Let r = 51 + q. Let g = -13 + r. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00795162032 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*t + 5*t = 144987, 2*d - 4*t - 289962 = 0. Suppose -l - d = -5*n, 3*l + 0*n + 435003 = -n. What is l rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 227 + -122. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 3696.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 14. Solve f + 12 = -3*n, 4*f = -v*n + 3*n - 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1175 - -2?\nAnswer: -1173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7\/5)*x)\/x)\/(x*x*x**(-7)) assuming x is positive.\nAnswer: x**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 106*v + 462. What is t(-48)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**4 - 8622*a**3 - 25884*a**2 - 25890*a - 8631 = 0.\nAnswer: -1, 2877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - 3*f + f)*(-4*f + 4*f + 2*f)*(-3 + 1 - 3)*(-1 + 2 - 3)*(-3*f + 111 - 111) as s + b*f**2 + l*f + n*f**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.0441 (b) 1\/4 (c) 5 (d) -961 (e) -4\/7 (f) -1 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 583*r + 603. Let f be c(-1). Solve 16*q = 21*q - 3*j - f, 3*q + 7 = -2*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4\/9 - 1418*y**3\/9 + 1550*y**2\/9 + 92426*y\/9 + 9940 = 0.\nAnswer: -710, -7, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*q**2 - 2*d*q + d + 63*q**3 + 2149*q**2 + 244*q - 20 wrt q?\nAnswer: 2*d + 378*q + 4298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 45 = -4*l - 165, q + 90 = -3*l. Is l at least as big as -94\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.032973 rounded to 2 dps?\nAnswer: 4.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 19*n = 3*t - 323, 0 = 6*n - 31 + 7 for t.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -1594?\nAnswer: -1593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -32. Calculate the remainder when 25 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 540 = 532. Let t = 737 - 735. Sort t, -5, x, 5.\nAnswer: -5, t, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1451*l - 1453*l = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -402 (base 7) to base 10\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 12546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1365, -1393, -1283, -1029, -625, -65, 657?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1326 + -906. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.08 + 12. Let n = q + 0.079993. What is n rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -16. What is the first derivative of p - 6*p**m - p - 178 + 189 wrt p?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -690 + 694. Solve 2*f + l = 4*m + 6*f, -20 = -5*f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8175 + 8252. Solve -13*d - s = -25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7070*c**2 - 3536*c**2 - 3532*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -421 + 6938. What is the least common multiple of 6 and q?\nAnswer: 39102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -337873 or -46288548\/137?\nAnswer: -46288548\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (12 + 9) - (60 + (3 - 0 - 6))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 97280?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 22202*z - 15011*z**2 + 81602*z - 33708 - 698*z**3 + 44895*z - 7*z**4 - 26375*z = 0. What is z?\nAnswer: -53, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.22 - -6.88. Let i = -8 + p. Let o = i - 0.2. What is the nearest to o in 3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 12\/10741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) 2\/7 (b) 1 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*s - 13 - 3 - 201*s - 6 - 5 in the form v*s + b and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5 (c) 2 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21290 + 9024 - 7114 = -4*k. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-one quarters of a gram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -c + 562, -3*t - 1691 = -0*c + 2*c. Let h = t - -955. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11211212012 (base 3) to base 11.\nAnswer: -65744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (297 - 839 - 318 + (3 - 4 - 1)*(2 - 1 - 2))*(5*o + 0*o - 4*o + (3*o - 5*o + 0*o)*(2 + 3 - 7) + 3*o - 3*o - o).\nAnswer: -3432*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let i be 245 - (1 - n\/(-1)). Calculate the highest common factor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 1431*f\/2 - 1998477\/4.\nAnswer: -(f + 1209)*(f + 1653)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -5*n - 216. Solve 4*m - n = d - 3, -4*d = m + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19114, -76415, -171910, -305599, -477482?\n\"Answer: -19097*c**2 - 10*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4) + (-50)\/(-8). Let u be -4*(121\/(-1650)*5 + (-4)\/30). Solve h = -p + u*h, -2*p + 5*h + x = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -91. Is (l*382)\/(2*(-4 + 3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2 + 2)*(-4*x**4 + 5*x**4 + x**4) + 6*x**5 - 4*x**5 - 3*x**5 + (3*x**4 + 0*x**4 - x**4)*(x + 3*x - 3*x) - x**5 - 2*x**5 + 2*x**5.\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 7) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*v + 2*p + 22, 0 = -4*v + 5*p + 28. Let -5*j + 3*j**2 - 7*j**v + 4*j**3 + 2 + 0*j**3 - j**3 = 0. Calculate j.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(x**2 - 2*x + 2*x)*(-5*x + 5*x - x**2) + (-2 + 0 + 1)*(-8*x**4 + 3*x**4 - x**4) as d*x**4 + i*x**2 + v*x**3 + q + p*x and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151529 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3089\/4 or -17\/2?\nAnswer: -3089\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 4:54 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = -5*z + 5, -36 = -4*l - 5*z. Let h(s) = 4*s + l*s - 4*s - 2*s. Let x(f) = -2*f. What is h(x(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 2. Let m be 6*((-12)\/(-9) - 1). Let o be j(m). Suppose o = 5*s - 4*s - 53. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1541 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from kkkozokomekokkook.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4229.09 rounded to the nearest ten?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25\/3*a**2 + 3 + 10*a = 0.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3 - 182*r**2 + 9760*r - 163200 = 0?\nAnswer: 40, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r + 3*z + 45, 0*r = -r + 2*r - 0*r + 3*z - 38 + 50 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 68825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 2:19 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let m(p) = p**2 - 10*p + 19. Let u be m(0). Let f(d) = 62*d - 10 - u - 61*d - 1. What is b(f(v))?\nAnswer: -v**2 + 60*v - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 0.4, -4\/7, 0.0246?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 6*u**2 + 6*u + 3. Let l be i(5). Is 13 a factor of (-35 - l)*(1 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850*r + 10*r = 422*r + 22*r - 2568 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007667 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -2.7.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {f: 8, o: 2}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e + 3dcb?\nAnswer: 3e0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - -10. Let v = -26 + m. Find the first derivative of -21 - v + 18*l**4 + 61 wrt l.\nAnswer: 72*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -306 - -309 - ((4 - 2) + 1 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-30) - 2\/12?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y*y**(-8))\/y))**(-12))**(-12\/11))**45 assuming y is positive.\nAnswer: y**(58320\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -119819, -119841, -119863?\n\"Answer: -22*j - 119797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/60)\/(2\/(-4)) + (-110 - -15).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 163*d + 633. Determine x(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 2. Let z = -20 + 15. Let f = z + n. Solve f = -0*m - m - 5*u - 11, m + 7 = -3*u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t + 26 + 5*t - 5*t. Let w be c(-4). Solve 6*r = 4*r - w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - 193*l**5 + 213*l**5 - 4*l + (4*l**2 - 2*l**4 - 4*l**2)*(3*l - 4*l + 3*l) - 2*l**5 + 0*l**5 + 3*l**5.\nAnswer: 17*l**5 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 9*v + 7593798039 - 7593798042.\nAnswer: 10*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - ((1 + sqrt(200) - sqrt(200)) + 5)) + sqrt(200) + 3*(sqrt(200) + 1) + -5)**2.\nAnswer: -800*sqrt(2) + 5064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 60209 divided by 2\nAnswer: 60209\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 212\/(-26) + 315\/(-65) + 5. Let o(y) = -y**3 - 6*y**2 + 9*y - 6. Is o(r) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 26?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000624 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(2 + 642\/(-322)). Calculate the common denominator of 35\/18 and (-6)\/(-27) + j\/(-36).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 940 + -472. What is the greatest common divisor of d and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 25*s**3 - 4*s**2 - 8*s - 13. What is r(-2)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6928279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 14. What is the remainder when s is divided by (0 + -30)\/(-13 - -11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89124*u**2*v**2*z + u**2*v + 2*v**2 + 655557*z wrt u?\nAnswer: 178248*u*v**2*z + 2*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keyekbbekkbebkbe. Give prob of picking 2 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3479 and 6745?\nAnswer: 330505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 141 = 4*t + 184, 0 = -2*q + 5*t + 147. Suppose -3*g = -g + 5*y - 69, -q = -2*g + 3*y. Is 32 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/4 - 4*x**3\/3 + x**2 - 2*x + 4425. Calculate h(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -15. Calculate the remainder when w is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 5*x - 31, 4*x + 14 = -2*h. Suppose 3*i + h*y = 87, -3*i = -y - 25 - 42. Suppose 5*k = 11 + i. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1849 + 1851. Solve -5*n - 3*s = 9, -4*n - 12 = -t*n + 4*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1399 + -1399. Solve -30*f - 113 + 53 = t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 788 = 4*s - 3*s, 0 = 3*n - 2*s - 596. Suppose n*i = 194*i - 61740. What is i rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Suppose 4*x = c*x. Solve -4*u + u - 12 = x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128120428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000207514 rounded to 7 decimal places?\nAnswer: -0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Let r(c) = c**2 - 21*c - 192. Let i be r(-7). Let o be (-4)\/((-5 - -2)*i\/12). Solve o*g - 2*g - 4 = -f*j, 0 = 5*j + g - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 51 - 37)\/(12\/244)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eie when three letters picked without replacement from {i: 9, e: 4, s: 3}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4705, -4706, -4707, -4708, -4709?\n\"Answer: -f - 4704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-117)\/26)\/((-3)\/2). What is the second derivative of -5*c**2 - 54*c - 128*c + 9*c**2 + 70*c**q - 4*c**2 wrt c?\nAnswer: 420*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28640 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12543145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 265516878 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d**2. Let i(z) = -6*z**2. Suppose 79 = 9*f + 52. Suppose 3*a + 32 = 7*a. Suppose 1 = -4*t + 3*h, 3*h = a*h + 25. Give f*i(u) + t*c(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2688 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1259*b = -3711 - 2292 - 7846 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -12. Suppose 434 = 5*b + c. Let n = 41 + -7. Calculate the highest common divisor of b and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -102*q - 18958. Determine s(-184).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zszzszzsjs. What is prob of sequence jz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u + 0*u**3 + 6 + 7*u**2 + 5*u**2 - u**3. Let c be z(13). Let w(h) = 165*h + 2 + 167*h - 331*h. Determine w(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-8 + 1 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -30*w. Let i(x) be the second derivative of x**4\/6 - 17*x. Give t(i(p)).\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 18 = -9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2\/2 + 15653*m\/2 - 23484 = 0. Calculate m.\nAnswer: -15656, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -5a2?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 18 = 7, 0 = -2*l - 4*h + 98. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**2 + 5*t - 3. Let a(b) = -3*b**2 - 2*b + 2. Let n(x) = 5*a(x) + 2*f(x). What is the derivative of n(d) wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flflrlqror. What is prob of sequence lr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16074 and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19176000 and 144?\nAnswer: 57528000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1067*n + 26. Suppose -118 + 244 = -14*h. Is i(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8564 rounded to two decimal places?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.728 - 0.264. What is k rounded to two dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -24 - 17 - (-5 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 2*p**2 - 16*p - 10. Let o(r) = r**2 + r. Let d(i) = b(i) + 5*o(i). Is d(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1179420055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 10523234.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -18. Let q(r) = -7*r + 89. Let c be q(12). Solve -a + c = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/(-9))\/(-3*(-12)\/(-9)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*v - 4 = -3*l, 5*l - 3*v - 32 = 0. Solve 5*f + l*r = -2, f + 0*r - 2*r - 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2498)\/(-2)*1 + 33\/(-132)*24 is divided by 124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 - 4*u + 3. Let w be t(3). Suppose 2*a + w = 4*a. Let y be (-27)\/18 + 666\/12. Calculate the highest common divisor of y and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 5. Let r be (-20)\/(-15)*-3 + 0. Give s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**3\/6 + 2467*j. Let o be (-61)\/(-5) - (-3)\/(-15). Let k(h) = o*h - 23*h - 20*h. Calculate g(k(y)).\nAnswer: -31*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -225 - -253. Solve 3*r + 2*r + 4*w = u, r - 4*w = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 0, -19, 139, -44 in descending order.\nAnswer: 139, 59, 0, -19, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11 and 76080162827.\nAnswer: 76080162827.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -309*g**2 + 37*g**2 - 12*g**2 - 127*g**2 to the form n + z*g**2 + i*g and give z.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 923?\nAnswer: 3692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56.70904 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 - 165. Find the third derivative of -11 - 10 - 125*y**2 + 0 + 20 - d*y**4 - 37*y**5 wrt y.\nAnswer: -2220*y**2 - 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 3371\nAnswer: -3370.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3157 or -3155?\nAnswer: -3157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 794702366 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22943 is divided by 4088?\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 2*s**5 - s**5 + (s**4 - 2*s**4 - s**4)*(-3*s + 2*s + 2*s) + (2*s**4 + 2*s**4 - 6*s**4)*(-s + 0*s - 4*s).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*b = -4*b + 1, 0 = -2*g + 3*b + 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 17*k**2 + 46*k + 35. Let a(d) = d**2. Determine l(a(n)).\nAnswer: 17*n**4 + 46*n**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15929925013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, d: 3}. Give prob of sequence ddd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.769, 3, 0.22 in increasing order.\nAnswer: -3, 0.22, 0.769, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.45 - -8.\nAnswer: -7.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18504400 rounded to the nearest 100000?\nAnswer: -18500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 9*u - 10*u. Let q be o(-1). Suppose -4*r = 6 - q. Solve -2 = 5*h - r*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 6. Let w be g(5). Let u = -21 - -33. Suppose -w*t + 4*j = -0*t - u, 4*t - j = 27. Solve m + t = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmdfdoomoo. What is prob of sequence fd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) -2 (c) -0.4 (d) 3\/4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*sqrt(11)*-5 + sqrt(11) + sqrt(11) + sqrt(11))**2 - (-2*sqrt(704))**2).\nAnswer: -2278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 4:53 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2. Let j be z(3). Let g = j - 1. Let n(u) = -u**3 - 8*u**2 + 20*u + 14. Calculate the remainder when n(-10) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215399*18\nAnswer: -3877182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102*(9\/(-12))\/((-9)\/36*9).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, -15, -14, -1, 30, 85?\n\"Answer: k**3 - 3*k**2 - 3*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*l - 5*l**3 + 23539438 - l**3 - 23539440 to n*l**3 + d*l**2 + x + m*l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**0)\/k**(-1\/14))\/(k**(-1\/3)*k**(-2\/5)*k))\/((k*k**(-2\/21)*k)\/(k**0\/k*k)*(k\/k**(-7))\/(((k**(-6)\/k)\/k)\/k*k)) assuming k is positive.\nAnswer: k**(-171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65915868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: -2*9\/((-18)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppffffff. Give prob of sequence ppff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 84*y**2 + 255. Let b(t) = -2*t. What is b(m(r))?\nAnswer: -336*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13913 divided by 8.\nAnswer: 13913\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 5*q**4\/6 + 23*q**3\/6 + 14*q. What is the second derivative of f(z) wrt z?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-660)\/55)\/(4\/2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 31*b**2 + 46*b + 11. Let c be j(29). Is -337 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1936711?\nAnswer: 1936712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.87 + -10041712353.\nAnswer: -10041712354.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 32. Determine g(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*u**2 + 14*u**3 + 16*u**3 - 61 + 168*u**2 - 25*u**3.\nAnswer: 5*u**3 + 6*u**2 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 6 = 0. Let g be 10\/20*-6 - 1775. Is g\/4*-2 - (j - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 11, 43, 109, 221, 391?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14606 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 + 1436. Let i = k + -712. Is i a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -13680537 and -13680536 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -747*m**7\/70 + m**5\/30 + 5*m**4\/24 + 20*m**3\/3 + 3717*m**2 - 2. What is the third derivative of l(h) wrt h?\nAnswer: -53784*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 != 11455\/443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015575148 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10 + 40\/100.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 573607?\nAnswer: 5735a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3*a*(a**2*a*a*a)\/a)**(-42))**(-17\/6) assuming a is positive.\nAnswer: a**952","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31638*r**3*w**2 - 2*r**3*w + 4222*r**3 + 3*r**2*w**2 + 15*r**2*w + 2*r*w**2 - 3*w**2 + w wrt w?\nAnswer: 63276*r**3 + 6*r**2 + 4*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4014 - 4014. Which is smaller: 1\/1102 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 50851.\nAnswer: 3\/50851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*k - 369, 3*k = 9*a - 4*a - 615. Suppose -3*p + h = -a, 15*p + 4*h = 13*p + 82. Calculate the remainder when p is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -25*r + 82*r - 37*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*w + 11 = 0, -4*w = -4*h - 20185 + 20169 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2438 - 2bd?\nAnswer: 2159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 41.5321.\nAnswer: -45.5321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-588) - 5\/60?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**2 + 13*q + 7. Suppose p + 0*s - 10 = s, 5 = 3*p + 2*s. Let t(a) = -p*a**2 - a**2 - 5 + 0*a**2 + 2*a**2 - 9*a. Calculate 7*t(d) + 5*y(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 422220661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p - 6 = 0. Suppose 4*j - 4 = j + 5*x, 0 = 4*j - 2*x - 10. Let t(o) = 2*o - o**j - 3*o**2 + 0*o + 5*o**2 - 3. Give t(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnlnnlnnnnnnn. Give prob of sequence nn.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*s**4 + 2*s**2*v - 343*v with respect to s.\nAnswer: 112*s**3 + 4*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15751365 divided by 3150273?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22 + -17)*(-9)\/(-5). Solve -3*a = -0*a + x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 0, w - 30 = 2*f - 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/((-2)\/(-5)))\/1)\/(5*78\/(-4836)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 11) to base 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6811848 a multiple of 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*m - 10 = 0, 2*m + 1 = -3*o + 5. Suppose 21 = -3*h - o*h - 3*j, 0 = 5*h - j + 5. Let x = -3 + 7. Sort h, x, 5 in descending order.\nAnswer: 5, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 2:10 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*p = -0*p - 157 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2\/8 + 453*f\/8 - 3073\/4 = 0.\nAnswer: 14, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 25\/42*b**7 + 4\/3*b**6 - 21*b - 10\/3*b**4 - 9\/4*b**5 + 10\/3*b**3 + 0*b**2 + 0. Find c such that m(c) = 0.\nAnswer: -2, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-60))\/(3 - (-76)\/(-25)). Let f(j) = -1 + 1 + 0*j**2 - t*j**2. Let k(g) = g**2. Let z(h) = -h**2. Let a(p) = 7*k(p) + 6*z(p). Calculate f(a(x)).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 + 5*x - 5*x + x)*(-4 + 0 + 3)*(x + 2 - 2) as o*x**3 + u*x**2 + f + j*x and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6492 divided by -31332?\nAnswer: 541\/2611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 275*u - 78*u + 3 - 2*u.\nAnswer: -355*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 891 = -5*z + 26, 2*z - 3*x - 382 = 0. Suppose 0*o + z = 5*o. Calculate the highest common factor of 74 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-17033.47\nAnswer: -34066.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -1. What is the second biggest value in k, 2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91642680 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 47 = 30. What is the smallest common multiple of 72 and z?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199.4 + 199. Which is the nearest to -3? (a) 5 (b) z (c) -0.17 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.26 (b) 2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -53 (b) 3 (c) -3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 320*u**2 + 655*u + 330.\nAnswer: -5*(u - 66)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.1 - -6. Which is the second smallest value? (a) -1 (b) m (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -2 (c) 527 (d) -4 (e) -0.1 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -845, -1901, -3379, -5279, -7601, -10345?\nAnswer: -13511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1309? (a) -7\/2 (b) 12 (c) 1\/5 (d) -2\/87 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from rzqyzrz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000574063 to six decimal places.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Let d(h) = -2*h - h + k*h. Let n(r) = -r**2 + 2*r - 2. Let z(v) = 4*v**2 - 4*v + 4. Let o(p) = 2*n(p) + z(p). What is o(d(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563499451.\nAnswer: 563499451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*48\/(-80)*5\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31848462 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y - 69*y - 158*y + 6525 = 0 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 406630722 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86a10 (base 15) to base 3.\nAnswer: -210201102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 divided by -1899?\nAnswer: -584\/1899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839394.\nAnswer: 2, 3, 46633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 507 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 243*n - 232*n + 18*n**3 + 476*n - 39*n**3 - 110*n**3.\nAnswer: -131*n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 136\/61?\nAnswer: 136\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 425675 and -2117?\nAnswer: 427792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/217 (b) -2 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = b - h, -22*b = -20*b + 4*h - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*f = -13, -5*p - 4 = -2*p - 5*f. Determine g, given that 3*g + 50*g**3 + 4*g + p*g - 109*g**2 + 14*g**2 - 24*g = 0.\nAnswer: -1\/10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 1. Let f be o(-1). What is r in -2*r**2 - r - r + 4*r + 2 - f*r**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:47 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-9))\/((-16)\/18). What is the second smallest value in -45, -6\/11, n?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h - 2*w + 22, 0 = -h + 4*w + 10. Suppose -80 = -h*l + 4*l. What is the remainder when l is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 12*n**2 - 3*n - 1. Let u be z(-11). Let r = -36 - u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 8*y. Suppose -8 = -2*k - 3*l + 5*l, y*l = -k + 1. Solve 4*x + 1 = -k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80.8 and 0.2.\nAnswer: -16.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 14*q**2 + 35 + 4*q - 5 + 0*q**2 + q**2 - 9*q**2. Let c be g(-6). Let o(y) = y**3 - 7*y**2 + 9*y - 9. What is o(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1161 + -1161.13. Sort -3, l, -6, 3\/2 in increasing order.\nAnswer: -6, -3, l, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012642 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21074 is divided by 10526?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5852675 to 3 dps.\nAnswer: -0.585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14132 is divided by 1079?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2773\/3 - -925. Which is greater: -140\/23 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -16*z + 795. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:59 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -44780 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2 - 10890*b + 2823728 = 0. Calculate b.\nAnswer: -5693, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1*i)**24\/((i\/i**(-2\/9))\/i*i**(-1\/6)) assuming i is positive.\nAnswer: i**(1295\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 3*y**2 - 2. Suppose v + 52 = 5*v. Let f = v - 10. Let z be o(f). Sort z, -1, -0.1 in increasing order.\nAnswer: z, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yykuyuyyuykuyy. Give prob of sequence yky.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 166*f**4\/3 - 227*f**2\/2 + 1344*f. Find the first derivative of c(w) wrt w.\nAnswer: 1328*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -109044, -108912, -108776, -108636, -108492?\n\"Answer: 2*k**2 + 126*k - 109172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1971*n**4*r**3 + n**4 - 7953*n**2*r**3 - 7*n**2 wrt n?\nAnswer: -47304*n*r**3 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 7 = 5. Let q be (-2)\/((-108)\/30 - -4). What is the closest to 1 in q, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 12109392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 4*b - 6. Let t be l(-6). Let m be (t\/(-2))\/((-3)\/(-2)). Let j = 1 + m. Is j greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*h - 1193 = 179*h + 1843. Solve -h*w - 14 + 113 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290.61+-4\nAnswer: 286.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12)**(1\/8) assuming p is positive.\nAnswer: p**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4941 - -814?\nAnswer: -4127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4 - 15*c**2 - 11 - 39195*c.\nAnswer: -15*c**2 - 39195*c - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, h: 9, i: 8}. What is prob of sequence hxi?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -15.6. Let d = p - 0.52. Let n = 0.1034 + d. Round n to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -19*k**2 - 2. Let w(h) = -h**2 - 5*h - 2. Let d be w(-4). Let m be a(d). Calculate the remainder when (-4)\/6 + m\/(-9) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let j(r) = 2*r**2 - 24*r - 6. What is j(k(a))?\nAnswer: 2*a**2 + 24*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501, -1971, -4405, -7803, -12165, -17491, -23781?\nAnswer: -31035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*d + 20. Let p(a) = a**2 + a - 2. Let y be -2 + 1 - (1 + 1). Let i be p(y). Put d, 1, i in increasing order.\nAnswer: 1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v - 1. Give p(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d - 1 = 0, d = 5*y + 16. Let n(h) = -h**3 - 5*h**2 - 3*h - 1. Let z be n(-4). Let l be 12\/((-24)\/(-8) + 0). Sort l, y, z in decreasing order.\nAnswer: l, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*f - 634 - 26 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.009829 rounded to 1 dp?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.52 + -2.4. Let h = 53\/253 + -9\/23. Which is greater: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150035 is divided by 2464?\nAnswer: 2195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/11 + 121406*s\/11 = 0.\nAnswer: -60703, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1300) + -1)*-2 + 4 + sqrt(1300) + 1*2*sqrt(1300) + 5)*-3 + -1)**2.\nAnswer: 7800*sqrt(13) + 51025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m - 2*m**2)*(3 + 2 - 7) + (-38*m - 232*m + 41*m)*(-2*m + 5*m - m) + (m + 2*m - m)*(-2*m - m + 4*m) - 1 + 2*m**2 + 1.\nAnswer: -450*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -313?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 313190854.\nAnswer: -626381708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -596.24 times 167?\nAnswer: -99572.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 44743 + 17150 = -2631. What is the remainder when r is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 19 = -4*i. Suppose 6*n - 15 = i*n - 5*y, -4*n = 5*y - 15. Suppose n = -3*d + b - 3*b + 135, -3*d + 135 = b. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddywrwdwyv. Give prob of picking 2 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*74\/37\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05808? (a) -5 (b) -575 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 951*l**3 + 3*l**2 + l - 7. Is m(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*l**2 + 2 - 2 - 119*l**2 - 131*l**2.\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6535 + 10398. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/5, 0.15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 - 93189*a**4 - 2894077290*a**3 - 29932449314300*a**2 + 629858586903000*a.\nAnswer: -a*(a - 21)*(a + 31070)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2734\/8 + (-4)\/(-16). Suppose c = 4*p - 174. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208469400 rounded to the nearest 1000000?\nAnswer: -208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 20*o - 194. What is c(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) - 26\/(-7). Let v(g) be the first derivative of -g**2 + g - 175. Let t(n) = 2 - 4 - 3*n + 3. Determine q*t(l) - 5*v(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609 + 42\/14 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 41*a + 41*a)*(a - a + a)*(-3 - 7 + 4)*(-2 + 1 - 1).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(18) - ((sqrt(882))**2 + 1))*-2.\nAnswer: -6*sqrt(2) + 1763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134 and 5838782?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 105324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 - 9*i - 9. Let o = 3 - 7. Let u(q) = -3*q**2 - 4*q - 9. Let v(m) = m**2 + 1. Let l(c) = u(c) + 5*v(c). Give o*z(x) + 9*l(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = 0. Suppose -4*m + 3*j + 78 = d, 3*j + 6 = m - 18. Suppose -5*o - 47 = -2*x + m, 5*o = -15. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + q**3 + 8*q - q - 5*q**3 - 2*q**2 to the form f + j*q**2 + c*q + o*q**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662793 divided by 44?\nAnswer: -151163\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3857539 and 511?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 661220180 to the nearest integer?\nAnswer: 25714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 = 2*u, -3*n + 11 = 4*u - 15. Suppose -5*x - 4*m = -25, 4*m = 3*x - x - 10. Solve 4*f - 4 = -n*z, 3*z - 8*z = x*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v**2 + 5*v - 6. Suppose 4*f - 49 = -5*n, 3*f = 2*n + 9 + 22. Let y be c(f). Round y to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 48*s + 1. Let v be j(2). Let c = v - 90. Suppose -c*i = -4*g - 4*i + 39, -g - 5*i - 19 = 0. Solve -4*q - 5 = -3*x, 4*q - 3*x + g = -x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 114*l - 33. Let k be u(-39). What is the greatest common factor of k and 1148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978*v + 1053*v - 691*v.\nAnswer: 1340*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -70*a + 26534. Determine p(379).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6. Suppose 4*y = 3*y + 3. Put r, y, -4 in decreasing order.\nAnswer: y, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738495847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.775 - -0.125. Let r = 5.942 - -0.058. Let f = s - r. What is the second biggest value in 0.1, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 - 105*a + 452. What is l(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 2, q: 1, o: 1, z: 1}. What is prob of picking 2 f and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/190 and 13\/330.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4056 - -182?\nAnswer: -3764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3 (c) 3879\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7701 - -2564435\/333. Which is the biggest value? (a) d (b) -2\/5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17525?\nAnswer: 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 72 = 28. Let k be (9\/g)\/(78\/65). Sort k, 1\/12, -3\/4 in increasing order.\nAnswer: -3\/4, 1\/12, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*s + 5*p, -s + 35884*p - 7 = 35887*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90\/24*(-32)\/12 - -13. Let u(x) = -x - 1. Let a be u(-2). What is the second biggest value in l, 1\/3, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23290 is divided by 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 + 140. Let p = 30 + -10. What is the remainder when a is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/1005*26067\/(-16). Let x = y + 389\/4. Suppose -2*k = 2*k. Is k >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10140918 < 10140918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149455 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 21. Let y be k(-7). Suppose -6*z + z = y. Let i be 2\/(-8) + 33\/164. Which is bigger: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*k - a - 406, -a = 4*k - 812. Let u = -1076\/5 + k. Calculate the common denominator of u and -2 - -1 - 4\/(-22).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*f + 185 = f, f = 5. Let p(h) = 42*h**2 + 753*h + 186. Let g be p(-18). Calculate the greatest common divisor of g and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-74)\/(-2))\/(0 + -2). Let t = l + 18. Let s = -16\/3 + 23\/6. What is the closest to t in -4, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1759026 to the power of 1\/2, to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (-3 + -9 + (2 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -30?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2763656?\nAnswer: 2, 7, 17, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(112) - sqrt(112)*2))\/(sqrt(192) - -2*sqrt(192) - sqrt(30)\/(sqrt(160) + sqrt(10))).\nAnswer: -5*sqrt(2)\/476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-100))\/((-1)\/(-5))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in 52, -0.3, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975 is divided by 48.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12\/25 + 89\/75. Sort 0, b, 4, -0.01 in ascending order.\nAnswer: -0.01, 0, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 divided by 4553?\nAnswer: 525\/4553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2. Suppose -l + 22 = l. Suppose l = 5*u + 1. Let a(k) = -3*k**u + 7*k**2 - 3*k**2. What is b(a(g))?\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 70 and 3538.\nAnswer: 3608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 573291 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9542?\nAnswer: 2, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*i - 9*i + i + 14*i.\nAnswer: 54*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2840, 5388, 7636, 9584, 11232, 12580, 13628?\nAnswer: 14376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 220.4817 millilitres?\nAnswer: 0.2204817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 646 and 80712.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -39 - 5. Calculate the highest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50506 + -3?\nAnswer: -50511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*w + 6 = -80*w. What is the closest to 0.1 in 5\/3, -4, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 divided by -23?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 194 - 206. Let b = -52 - j. Calculate the smallest common multiple of 9 and -1*2*b\/(-8).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyy when three letters picked without replacement from tttytyytyyytt.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 378760082 to the power of 1\/2, to the nearest integer?\nAnswer: 19462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f - 60 = 0. Solve -f = u + 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -342, -676, -1010?\n\"Answer: -334*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w - 3*w)*(3 - 4 - 4)*(-w - 5*w - w).\nAnswer: -70*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -3*c**2\/2 + 2. Let s(a) = -2*a - 21 + 21 + a**2. Let h(n) = 2*m(n) - 3*s(n). Let q(g) = 5*g. What is h(q(v))?\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(45) + sqrt(5))**2 + 0.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39952 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 201.495 + -202. Let y = a + 0.504998881. Round y to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0 - 56*f - 14*f**2 - 1\/2*f**3. What is the first derivative of v(r) wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56942 - 36804. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -5, -38 in decreasing order.\nAnswer: 1\/3, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5643)\/2145 + 3991\/1535.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (8 + (-1618)\/280) and -47\/96?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1.1 (c) 1 (d) 0.165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53608308 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1158*f + 16256. Give o(-14).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l = 67*l + 1653 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 57*w - 5 + 1 + 3 + (-4*w + 4*w - 3*w)*(0 + 0 - 1).\nAnswer: -54*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-43)*u\/(((u**(-3\/5)\/u)\/u*u*u)\/u)*u**(-2\/11)\/u assuming u is positive.\nAnswer: u**(1024\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 7*t**5\/4 + 13*t**3\/2 + 16*t - 1. What is the second derivative of l(q) wrt q?\nAnswer: 210*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*o - 75*o - 68*o)*(4*o + 4*o - 6*o) + (-4*o + 4*o + 1 + 3*o + (-o - 2 + 2)*(4 - 4 + 2))*(-4*o + 4*o + 3*o).\nAnswer: -73*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.00203 times 0.124\nAnswer: 0.00025172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*b - u - 1575 = 0, -4*b - 5 - 4 = -3*u - 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 - -191. Let k = d + -30.00585. What is k rounded to four dps?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15918*s**2 + 7970*s**2 + 7945*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-462)\/1204)\/(1254\/(-456))\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 923.6896 micrograms in milligrams?\nAnswer: 0.9236896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.072693686 to 3 decimal places.\nAnswer: 1.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33a3 (base 12) to base 6\nAnswer: 42323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(9\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:48 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*x + 5. Suppose -x*f + 8 = -87. Suppose 0 = k + f - 25. Which is smaller: 4 or k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301636 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1 (c) -0.3 (d) 45 (e) -10 (f) -5\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 7:19 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 78 + -0.1265\nAnswer: 77.8735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + 0 - (44 + -2 + -70 - -38).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31584 - -263?\nAnswer: 31857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34030 = 5*w - 3*g, -4*g + 27192 = -53*w + 57*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = -27*u + 133 + 69 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9723797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -0.17, -3, -4 in descending order.\nAnswer: 3, 1, -0.17, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 185\/(-175))\/(8\/(-120))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -2)*(-62)\/8. Let g be (-2289)\/(-15) - 2 - 4\/(-10). Suppose 159 = 5*n + y, g = 5*n - y - 0*y. What is the greatest common factor of f and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48972 divided by 66.\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134287106?\nAnswer: 2, 773, 86861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 (base 10) in base 13?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-4 + 15\/6). Suppose -4*i - h = -j - 9, 18 = 2*i + 5*h. Does 6 divide (0 + 2)\/i*20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 990 and 4950.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}