diff --git "a/data/dm_maths/full_data_1/1525_11255.jsonl" "b/data/dm_maths/full_data_1/1525_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1525_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the thousands digit of 157088893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -951, -1880, -2799, -3702, -4583, -5436, -6255?\nAnswer: -7034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i + 1. Let k(m) = 22*m - 6. Let a(y) = 15*j(y) + 3*k(y). Let x(b) = -13*b + 7. Determine -9*a(n) - 4*x(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/11 + 12736852*g**3\/11 - 20278424858738*g**2\/11 = 0. Calculate g.\nAnswer: 0, 3184213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529 = -498*z + 521*z. Solve 0 = 4*r - f + z - 12, -r - f = -1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30*0.3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15679*p - 15677*p + 47029*p - 15679*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.65 * -7\nAnswer: -4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3005 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zszz when four letters picked without replacement from {z: 4, s: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -144*u + 65?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 3 = -6*k + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19091014.2us?\nAnswer: 0.0002209608125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 f, and 1 q when four letters picked without replacement from eooefooqoqoo.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aauua. What is prob of picking 1 a and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*u - u + 25, 4*v = -2*u - 20. Suppose 4*i - 28 = -2*c, 3*i - 6 + u = 0. What is the remainder when 11 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - 1969 + 969 + 37*d + 1000.\nAnswer: 44*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (285\/(-3800))\/(4\/64*4)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 2*n + 12 - 22 + 16. Let a be 3\/((-18)\/(-4))*15\/2. Give x(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33955 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 846\nAnswer: -11844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4604 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsv when three letters picked without replacement from vsssssssssssv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 17. Let f(g) be the second derivative of -g**3\/6 - 4*g**2 - g. Let n(j) = 9*f(j) - 4*r(j). Let v be n(-4). Solve 3*q + 0 + 3 = v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 208 = 5*n, -2*p - 63 = 4*n - 215. Let q = 36 - n. Suppose -5*c + x + 0*x - 12 = 0, -5*x - 27 = 4*c. Sort c, 3, 0, q in increasing order.\nAnswer: q, c, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5cc - 2?\nAnswer: 5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 0.148?\nAnswer: -1.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3451*g - 18. What are the prime factors of c(4)?\nAnswer: 2, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -66, 4 in decreasing order.\nAnswer: 4, 1\/9, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 7634927378.087?\nAnswer: 7634927353.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(32) + 0 - (sqrt(2)*-1 + 1)) + 2.\nAnswer: 1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164738*c**4\/11 + 661248*c**3\/11 + 668144*c**2\/11 + 9216*c\/11 + 32\/11.\nAnswer: 2*(c + 2)**2*(287*c + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*m - 40, 0 = 2*c - 0*m - 5*m - 80. Suppose -c = -s - 44. What is the third smallest value in -5, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/152 and (-278)\/456 + 27\/27?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44890.8nm to micrometers.\nAnswer: 44.8908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -18*s**2. Let v(c) = 3*c. Let u(r) = -5*r. Let f(t) = 5*u(t) + 7*v(t). Give g(f(p)).\nAnswer: -288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -14*d**3 + 629*d**2 + 43*d + 81. Give t(45).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 116492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0*d**3 + 0 + 1\/189*d**7 - 6*d + 0*d**4 + 0*d**5 + 0*d**2 - 2\/135*d**6. Factor x(l).\nAnswer: 2*l**4*(l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25317835, 50635675, 75953515?\nAnswer: 101271355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 - 8*p**2 - 12*p + 12. Let f(v) = -6*v**3 + 9*v**2 + 17*v - 11. Determine 6*f(d) + 7*j(d).\nAnswer: -d**3 - 2*d**2 + 18*d + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 < -398.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334725456 by -12874056.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**5 + 40*a**4 - 5797*a**3 - 82878*a**2 + 1429956*a - 914760 = 0. What is a?\nAnswer: -33, 2\/3, 10, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165\/47 - -5973\/376. What is the common denominator of 5\/2 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**5 - 15*x**4 + 63*x**3 + 255*x**2 - 300*x = 0.\nAnswer: -5, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 608 (c) 0.5 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108.201 + -2.501. Let m = o + -129. What is m rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-231))\/((-3024)\/(-24948))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 - -0.26. Is -16 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3488 (base 11) to base 15.\nAnswer: -154d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -945263643 + -3.27158\nAnswer: -945263646.27158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -1. Let x = -18 - y. Suppose 0*h = x*r + 5*h - 174, -50 = -r + 2*h. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/125371 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) -3 (b) -2 (c) -6 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34858958 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194*6.15.\nAnswer: 1193.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) - sqrt(13)*1)**2 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-319)\/1363))\/(((-20)\/4)\/(-5)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 7*x**2 - 12*x - 10. Let v(k) = -k**3 - 24*k**2 - 62*k + 12. Let t be v(-21). Is m(t) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 186802*z + 5043658. Determine v(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -28. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70480\/1762*(-1)\/32.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 296208 - -726461687\nAnswer: 726757895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-17 + 1 + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 - 114. What is the nearest to w in -4, 10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.36 + -11.86. Which is the smallest value? (a) -5\/13 (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/463680 and -157\/463680.\nAnswer: 463680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 628*a - 19976. Determine k(-278).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*h = -3*h + 74, -2*f = -h - 68. Calculate the remainder when f is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = 6. Let j = -0.1 + 0.1. Let o be (6\/18)\/((-2)\/(-3)). What is the second smallest value in j, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27471 divided by -75?\nAnswer: 9157\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 5*l**2 + 14*l + 5. Let a be -1 + -4 - (1 - 1). Is f(a) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 21*q**2 - 22*q**2 + 4 + 17*q + 10 - 6*q. Let a be h(12). Suppose 3*s - r = -a*r + 391, 3*r - 399 = -3*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**3 + 4*l**2 + 7*l + 3. Let n(u) = -4*u**2 - 6*u - 2. Let x(v) = 2*f(v) + 3*n(v). Let h(i) = -7*i**3 - 5*i**2 - 5*i. What is 4*h(m) - 5*x(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(9)\/sqrt(3)*2 + -2 + sqrt(75) + -5*(0 + sqrt(27))*3)**2.\nAnswer: 152*sqrt(3) + 4335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22721, -22685, -22589, -22403, -22097?\nAnswer: -21641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -10. Suppose -i - 15 + 106 = 0. Calculate the greatest common factor of o and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303816 divided by 461.\nAnswer: 303816\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/57408 and 37\/1812.\nAnswer: 8668608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -554 - -559. Suppose 4*b - 3*q + 0*q - 34 = 0, -3*b = q - 32. Let p = z + b. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + 6*a - 22*a + (-2 + 4 + 0)*(2*a + a - 4*a).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 186692.\nAnswer: -7\/46673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169372 = 9*u - 1592. List the prime factors of u.\nAnswer: 2, 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2040129201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58699721?\nAnswer: 19, 3089459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.00704 + -0.20704. Which is the fourth biggest value? (a) 0.4 (b) 0.05 (c) m (d) 16\/7 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77740 rounded to the nearest one thousand?\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 0 + n**3 + 0*n - 4 - 2*n + 4*n. What is the first derivative of y(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -725768 - 10?\nAnswer: -725778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -372 + 375. Let z be 1*k - (15 - (-208)\/(-13)). Solve 16 + 14 = -5*a - 5*n, z*n + 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*l**2 - 275*l**2 - 472*l**2.\nAnswer: -529*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p**3 - 57*p**2 + 5. Let i(k) = -8*k**3 + 38*k**2 - 3. Give 8*i(c) + 5*w(c).\nAnswer: -4*c**3 + 19*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 45 in decreasing order.\nAnswer: 45, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6418.\nAnswer: 2, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t, 4*c = c + 2*t + 225. Calculate the greatest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247686704?\nAnswer: 2, 3, 11, 23, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3792175.\nAnswer: 5, 151687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6108, 12083, 18058?\nAnswer: 24033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70613, -70614, -70617, -70622, -70629, -70638, -70649?\nAnswer: -70662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 4*f + 3. Let p be a(4). Suppose 5*d + 26 = 3*h, -2*h + 0*h + 30 = p*d. What is the remainder when 22 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lala when four letters picked without replacement from lllaaaalallll.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/(sqrt(36)\/sqrt(9)) + 4)*4.\nAnswer: 16 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-9) + 1*(-668)\/(-3087). Let r = 152087274 - 573825288896\/3773. Let t = r + f. Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 88*g**2 - 182*g + 6. Let z be k(2). Solve -4*h + 2 = -5*i - 5*h, 0 = 5*h + z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**2 - 4*i**2 + 0*i**2)*(1 + i**2 - 1) + 2659*i**4 - 2666*i**4 + 46*i**2 - 6*i**2 to c*i**3 + y + r*i**2 + n*i**4 + t*i and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3340 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-285)\/9)\/(-5))\/(1\/9). Let u = y + -113\/2. Let n = 23 - 111\/5. Which is the third smallest value? (a) 1\/7 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1087716143*a**3 + 56*a**2 - 6359104*a?\nAnswer: -6526296858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -5*c - 2*t, -2*c + 2*t - 62 = 4. Let g = c + 85. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 128038316 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b**4 + 0)*(-2*b + 3*b + b) - 3*b**5 + 2*b**5 + 3*b**5 + 2*b - 2*b + 2*b**5 + (-2*b**4 - 3*b + 3*b)*(-b + 4 - 4) - 31*b**5 + 8*b**5 - 8*b**5.\nAnswer: -23*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*((-1 - -2) + 0). Suppose 0 = -h*v + 4*g + 28, v = -v - g + 4. Suppose -3*x = -11 - 4. Solve 17 = -3*l + v*y, 0 = x*l + 3*y - 9 - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30255 - -121019\/4. What is the second biggest value in s, 1\/2, -0.5, 0.06, 4\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -314 - -318. What is the nearest to 5 in -1\/4, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57.4 in 23\/2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 3. Let h be n(-9). Let z be (-2)\/(-5) - (-102)\/h. Sort 0.2, z, -1\/9.\nAnswer: z, -1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + 1644. List the prime factors of b.\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhlbbhbhulklhkkhhb. Give prob of sequence ul.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 64560 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -18 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 149.\nAnswer: 19\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -58\/5. Let n = -341\/5 - -68. Sort k, n, -1 in decreasing order.\nAnswer: k, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*r**3 - 1 + 1 to the form g*r**3 + c*r**2 + z + m*r and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18389363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -21 - 6) + 1066\/91 + -12.\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-108 + 61 - -48)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -1.52934?\nAnswer: -0.917604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00143101 to 6 decimal places.\nAnswer: 0.001431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 381559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468249?\nAnswer: 3, 127, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*z + 126*z - 20568 = -320*z + 25632 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14.61 in 3\/5, -9, -2, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 57. Let a(f) = 3*f**2 - 3*f + 11*f**s - 9*f**2 - 3*f. Let q(k) = 30*k**2 - 35*k. Let y(o) = 25*a(o) - 4*q(o). Factor y(t).\nAnswer: 5*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uukukufuuukukuff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-4 - 12) - -4) + 0 + 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23255 divided by -111?\nAnswer: -23255\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(4 + 0). Suppose -u + 191 = 5*z, 2*z + y*z = 5*u + 176. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33902363*f - 2*h = 33902359*f - 130, 3*h + 155 = -4*f for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1)\/(-4) + 1. Let 1\/2 + 5\/4*d + 1\/4*d**4 - 11\/4*d**3 + q*d**5 - 3\/4*d**2 = 0. What is d?\nAnswer: -1, -2\/3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7) + sqrt(84)\/(sqrt(60)\/sqrt(5)))**2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 5*p**2 + 5*p + 4. Let q(l) = 10*l - 70. Let c be q(7). Suppose 0 = -3*v - c + 18. Determine m(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/78)\/((-130)\/(-1872))*(-10)\/(-8)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, l: 1, j: 3, g: 3, k: 6}. Give prob of sequence kgjm.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*i**2 - 8*i**2 + 35*i**2)*(-5541 + 5541 + 224*i**2) + 2*i**3 + i**4 - 2*i**3 to y*i**3 + t*i**4 + l*i + a + g*i**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4770)\/140 - -26) + 3\/42.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**4\/6 - 3*x**2 + 2*x. What is the derivative of t(m) wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6932 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 83468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 377845097\nAnswer: 377845100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnflnnnfllfffns. What is prob of sequence nlfl?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/2129, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 5*w**2 - w - 1. Let t be x(-5). Let r(h) = h**3 - h**2 - 3*h + 3. Let s be r(2). Put 0.3, t, s in descending order.\nAnswer: t, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -52. Is 229\/4 - (-4)\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323170891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45653, 45655, 45657?\nAnswer: 45659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1405*q - 1459*q - 2577 = -7221 for q.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 12*n**2 + 33*n + 69. Give g(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-280))\/((-4)\/14 - -2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000149 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(sqrt(720) - (-4*sqrt(720) + sqrt(720)))*-2)**2.\nAnswer: 41472000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -21*a - 4. Let n(h) = -399*h - 77. Determine -4*n(w) + 77*s(w).\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179671583963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Solve -2 + 6*x + 0 - 2*x**c - 2 = 0 for x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -10 (c) 0.3 (d) 358\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*q**5 - 3*q**4 + 8*q**2 - 36 wrt q.\nAnswer: 1680*q**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0493 from -0.0328.\nAnswer: -0.0821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -16, 4741698 in increasing order.\nAnswer: -16, -5, 4741698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4207 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/43))\/(v\/(v*(v\/(v**(-11)\/v*v)*v)\/v)) assuming v is positive.\nAnswer: v**(560\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43955 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*3\/3 + -4. Let x be a\/(-1) + 16\/104. What is the nearest to 1\/2 in x, -3\/2, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 2) to base 3\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 8, -2, -18.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-7*q + 3*q - 4*q)*((-q**3 + q**3 + 3*q**3)*(-3 - 3 + 7) - q**3 + 0*q + 0*q).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 > 656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/5*(-20 + 5). Calculate the lowest common multiple of 10*(-6)\/36*54\/k and 754.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {g: 1, o: 2, t: 1, m: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2078.628 - 6.128. What is n rounded to the nearest 10?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 15\/2. Let l = 125\/36 - 20\/9. What is the closest to -1\/2 in l, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 2583.\nAnswer: 12915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 7 - (-3 + (0 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 7 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 8*y**4 - 16739 + y + 16739 - 4*y**3 in the form z*y**2 + s*y + d + t*y**3 + j*y**4 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1672\/9 + -186. Suppose -3*p + 0 = -5*y + 2, -2*y - 1 = -3*p. Which is the second biggest value? (a) q (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by -1?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 9*h**2 - 8*h + 11. Let n be t(8). Let b = n - -5. Calculate the remainder when 46 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*v**2 + 53826*v + 238824 = 0. Calculate v.\nAnswer: -372\/85, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 44. Solve -4*c - 2*r - 12 = 0, -2*c - c + u*r + 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.95937ug in nanograms?\nAnswer: 46959.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5800.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -25 - 25) + -10 - 38?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231067 divided by -8.\nAnswer: -231067\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l + 1. Let h(m) = -5*m - 1. Let t(g) = -7*h(g) - 6*n(g). Let a(p) = 1. Suppose 0 = -3*o + 11*z - 6*z + 1, -3*o = -z - 5. What is o*a(q) + 2*t(q)?\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66309286559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 13596 = 3*m, -23*y + 19*y = -5*m + 22667. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 14*x + 5. Let b be a(-10). What is the greatest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2\/7 - 288578*z\/7 = 0.\nAnswer: -144289, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(4312\/(-12320)*(-6)\/(-21))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22954*o**5 + 49*o**3 - 9338469*o + 2 wrt o?\nAnswer: -459080*o**3 + 294*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64100321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2. Let h(c) = -197158*c. Calculate h(g(s)).\nAnswer: 788632*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 2*r - 5*r)*(3 - 4 + 0 - 3*r)*(0 + 0 - 2*r).\nAnswer: -6*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 3 - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*h - 28905 = 8*h + 53310. Is h bigger than 950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*y - y**2 - 10*y)*(0*y + 0*y + 3*y)*(-7*y**2 + 4*y**2 + y**2) + 0*y**5 + 0*y**5 + y**5.\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6684293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose -3*h - 24 - 3 = q. Let g = h + 21. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 13. Let g = 3 + w. Suppose -g*k - 1999997 = -z, -z = -3*k + 2*z - 1499991. Round k to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341157312 divided by -684?\nAnswer: 498768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((500\/(-35))\/(-20))\/((-1)\/(-7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufsxx. Give prob of picking 1 s and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-11)*(-2486)\/(-3164).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/12 and (-132778)\/18952 - (3 + -10).\nAnswer: 28428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104504880 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4948*i**2 - 3280?\nAnswer: 9896*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -4, 3, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3706 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -44. Calculate the least common multiple of f and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-38)\/(-760))\/(2\/16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 25 - (-192 - -198) - (-1 - (-5 - -3))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 7*l - 6. Let c(q) = q**2 - 41*q - 37. Let b be c(42). Determine x(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*m - 31 = 0, -w + 2*m + 13 = -0*m. Solve 0 = -4*o - 4*k + 4, 4 = -o + 5*o + w*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/(-6))\/((-3)\/6). Let q(z) = -z**3 - 8*z**2 + 9*z + 11. What is the tens digit of q(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 - -220. Suppose 98 = 11*h - f. Suppose -18 - 18 = -4*j. What is the highest common factor of h and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*p - 570*p = -324 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -13. Let z = y - -6. Let f be (-6)\/(-4)*(z - -45). Calculate the greatest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 17 - 10 = 0. Which is smaller: d or -1\/428?\nAnswer: -1\/428","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4040 divide 262046520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/2489 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -29*u**2 - 8*u - 1462. Let t(g) = 23*g**2 + 7*g + 1468. Determine -4*q(i) - 5*t(i).\nAnswer: i**2 - 3*i - 1492","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 8*v + 5. Let p be o(4). Let t = p + -15. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*c**4 - 424*c**3 + 27*c**4 - 664 + 36*c**4 wrt c?\nAnswer: 8*c**3 - 1272*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeu when four letters picked without replacement from {e: 4, u: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (80\/24)\/((-2)\/(-573) - 0). Let s be (-8)\/12 - u\/(-15). Is 8 a factor of -2 - 0 - 4\/(-4)*s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*o**2*s**2 - 81*o**2*s - 2*o**2 + s**2 + 1090 wrt s.\nAnswer: -6*o**2*s - 81*o**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + a + 3 = 0, 3*a - 18422 = o - 18403 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - o**2 + 35085 - 3*o - 35076. What is z(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppbpjpbbpb?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4, 23.\nAnswer: -4, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 4*i**2 + i - 2. Let u be g(4). Let k be 7 + u - (0 + 1). Calculate the highest common factor of k and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117399 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: How many minutes are there between 3:38 AM and 5:14 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1012292343 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 13. Suppose -j*m = -4*m + 36. Let v = m - -13. Solve 0 = -v*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35763, -143050, -321863, -572202?\n\"Answer: -35763*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmmplnrh. What is prob of sequence ln?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 - 7*o**3 + 7*o**3 - 3*o**4 + o**3 - o**3 + (-o + o**2 + o)*(-1 - 2*o**2 + 1).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -cadf4 (base 16) in base 8?\nAnswer: -3126764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0465*-3.\nAnswer: 0.1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.646 in -1\/2, 0.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (-1*sqrt(1300) + sqrt(1300)))\/(-2*sqrt(400))*-1 + 2.\nAnswer: sqrt(13)\/20 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 12*t**2 + 3*t - 3. What are the prime factors of o(12)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 4*x + 5*x)*(4 - 5 + 3)*(2 + 2 - 5)*((-8 + 4 - 3)*(-5 + 3 + 0) + 2 - 1 - 3).\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*a = -873*a + 6222 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 1, y: 1, t: 1}. What is prob of sequence tw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17033713.\nAnswer: 59, 449, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35485 + 10?\nAnswer: 35495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -12*q**2 - 24765910*q\/3 + 458628 = 0.\nAnswer: -687942, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-6)\/48)\/((-1)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3316774 (base 8) in base 2?\nAnswer: -11011001110111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3317 and 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvv. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694324 is divided by 571.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(3 + (-24595)\/8198). Let w = l + -49301\/6. Calculate the common denominator of w and -53\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n\/((n*n*n\/n**(1\/4)*n*n)\/n)))**(-5\/4))**34)**(-3\/16) assuming n is positive.\nAnswer: n**(4845\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89031 is divided by 7084?\nAnswer: 4023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 10341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -144*v + 1392. Let a be m(8). Calculate the greatest common factor of a and 7440.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 3415?\nAnswer: -3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -161*y**2 - 8*y + 7. Let n be j(1). Let o = -115 - n. Is o < 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14360\/3 - -4787. What is the closest to o in 26, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -815 = -3*m - 2*i, 4*i + 85 = -2*m + 615. Solve -47*y + m = -54 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/17801861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1649*k**3 + 821*k**3 + 824*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 103900 = -4*t + 346521, 0 = -2*t + 2*v + 225212. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -443313 and -2092.34217.\nAnswer: -445405.34217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*w**2 + 11*w**3 + 51*w**2)*(16 - 100*w**2 - 16 - 396*w**2).\nAnswer: -5456*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 47.79. Let v = u - -0.01. Let s(k) = k**2 + 5*k + 2. Let l be s(-2). What is the smallest value in -5, l, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 690 and 810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10088432 + -23.\nAnswer: -23.10088432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/112*(-16 + 19 + 16\/(-5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = 9*a - 4*u - 13, 25*a - 33 = 2*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.6656 - 3.365664. Let j = -1.3 + g. Round j to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2517 + 17631\/7. What is the second smallest value in o, 1\/6, 0.03?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 25978620*a + 25978615.\nAnswer: 5*(a - 5195723)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7))**(-2)\/((v\/v**(-5))\/v**(4\/9)))**(-3\/22) assuming v is positive.\nAnswer: v**(157\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 38 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 136*y + 137. Let s be i(-1). Solve -4*h - 3*c = 8, 11 = -s*h + 4*c - 5*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 829095.4ng?\nAnswer: 0.0008290954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-138)\/(-207)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0 - 7)*192\/(-224). Solve 20 = 2*q - c*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5881 is divided by 1090?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiunlwns. Give prob of sequence ns.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(sqrt(175)*-4)**2 - (sqrt(175) + -1 + 4)**2).\nAnswer: -30*sqrt(7) + 16612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*((-4 + 4 + 2*n)*(-1 - 1 + 3) - 2*n + n - 2*n + 3 - 34*n - 3) + (-2 + 0 - 5)*(2 - n - 2) to the form t*n + u and give t.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**3\/3 - 2*g. Let x(d) = 4*d. Give j(x(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6587 - -87520.\nAnswer: 80933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 353200196 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) 37.7 (d) 237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-442)*(-53924)\/6344 - (-2258)\/26.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 74 = -4*w + 92, 3*r - 57 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197*r**5 + 37*r**5 - 3*r**5)*(20 + 10 + 0).\nAnswer: 6930*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**3\/3 - a**2\/2 + 4. Let r be q(0). Let z(y) = -6*y**2 + y - 2 + 7*y**2 - 3. Calculate z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003498104 to five dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000062 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 5*u**2 + 6*u + 6. Let h be g(6). Suppose 10*j = 2*j - 16. Let i(l) = -l**2 + 10*l + 28. Let p be i(j). Solve p*r + 2 = -h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 + (0 - 1 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 2611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 5*b + 2. What are the prime factors of n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:11 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*v + 150*v**3 + 135*v + 2*v**2 + 2*v**2 - 2*v**2 - 4*v**2 in the form b*v**2 + u + r*v + a*v**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.015 - -1.585. Which is the biggest value? (a) -0.5 (b) s (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -698\/437537 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*t = -t - 5362, o = -5*t + 1769. Suppose -2*w - w = -o. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5422*x**4 - 539*x**3 - 36982754*x**2.\nAnswer: -130128*x - 3234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -192042 less than or equal to -192046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 8*j**2 + 8*j + 8. Let d be k(7). Suppose b = -2*b + d. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 - -110?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -81.4. Let x = 106.4 + u. Let d = x + -125.7. Round d to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 6 + 6)*(1177*f - 1177*f + 2*f**2 + 32).\nAnswer: 2*f**5 + 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/3 (b) 1067 (c) 155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 59*c**4\/6 + c**3\/6 + 2*c**2. Is i(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10345204 divided by -1.\nAnswer: -10345204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1136 and 80520.\nAnswer: 11433840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/112 + -767\/32816. Let c = b + 1161\/3223. Let a(z) = z**2 - 12*z - 9. Find the common denominator of a(15) and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 23*m - 9. Determine u(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -6. Let o(x) = 2*x**2 - 5*x - 5. Let j be o(f). Suppose -2*b - p = b - 210, b + p = j. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/684*1*(-75)\/(-50).\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*p - 25. Solve 2*s + 2*w - 2 = 6*s, 2*s + p*w = 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1979 or -1975?\nAnswer: -1975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -8 (c) -0.7 (d) 65.2 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*k = -0*p + 10, 5*k = 2*p + 25. Suppose -4 = -p*n - n. Suppose -2*i + 10 = -n. Calculate the highest common factor of i and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -4, -1, -9 in decreasing order.\nAnswer: 2\/17, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 + -393?\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 18. Let d be v(10). Suppose -2*i + 0 = h + 4, -d*h + i + 12 = 0. Let t = 6.3 + -6. Which is the nearest to 1? (a) h (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.7 + 9. Let j = 128.3 + -130. Let k = m - j. Put 7\/6, k, -0.2 in ascending order.\nAnswer: -0.2, 7\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 9 - 6 - 8*t to the form i*t + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10908 and 25668.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 32. Let k be c\/(-18) - 3786\/(-27). Let z = -18 - -38. Calculate the highest common divisor of k and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 354593357 and 354593356 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112215*z**3 + 224615*z**3 - 112266*z**3.\nAnswer: 134*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let m be ((-24)\/(-20))\/(24\/280). Let g(r) = -8*r**2 - 24*r**2 - 2*r**2 - m*r**2. Determine f(g(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1159654 and -412.\nAnswer: -412.1159654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 62?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/92, 25, -28\/107, 13 in decreasing order.\nAnswer: 25, 13, -1\/92, -28\/107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 2*b - 1. Let n be s(3). Let y be (-4)\/5*10\/n. Suppose -1 = h, y*f + f = 2*h + 50. Calculate the greatest common divisor of f and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 + 180*p**3 + 556 - 275.\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h - 2*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -4. Let v(n) = -10*n**3 + 2*n + 1. Let h be v(y). Suppose 4*d + h = d. Is -3 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 551\/83?\nAnswer: 551\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215\/(-35) - -7 - (636\/21 - 30)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 8*o**2 + 26*o + 133. Let q be v(-7). Let w = 4 - 2. Suppose q*g = w*g - 10. Solve j = -3*m + g, -3*j - 5*m = 1 - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 - -1375631239.253.\nAnswer: 1375631221.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -411, -403, -391, -375?\n\"Answer: 2*x**2 + 2*x - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 h, and 1 w when four letters picked without replacement from {n: 1, w: 5, y: 1, h: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1 - 0) + 4. Suppose 2*g = 2*n + g + 35, 3*n = -4*g - 25. Let k = -15 - n. Solve -q = 3*p - k*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1*-1*sqrt(1584) + sqrt(1584))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 6*f**3 - 6*f + 3 + 16*f**4 - 3*f + 9*f as z*f**4 + n*f + k*f**2 + p + r*f**3 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14233733 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.22 + 37.2200008585. Round m to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-12 + 20 + -3491)*(-3)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 7 + 11*n - 10*n - 2*n**2 in the form m*n + a + k*n**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-25)\/(-4))\/((-14)\/(-3113600)). What is u rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24106 and 2250366?\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 468, 1885, 4244, 7539, 11764, 16913, 22980, 29959?\n\"Answer: -r**3 + 477*r**2 - 7*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 + -81725?\nAnswer: -81681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-7 - -15) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 768252.6 litres in millilitres?\nAnswer: 768252600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99\/1403 + 1\/61. Let x = 0.04 + -0.983. Let y = x - 0.057. Which is the closest to -2\/3? (a) f (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 4 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 9:52 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, 2\/3, -0.5 in decreasing order.\nAnswer: 16, 2, 2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 6:45 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 309427ab?\nAnswer: -309427a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31991.9355 milliseconds in weeks?\nAnswer: 0.00005289671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 49\/4 - ((-63)\/(-36) + -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/11 + 11648\/176 + -28?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a*a\/(a*(a**8\/a)\/a)*a))\/a))\/a**(-16) assuming a is positive.\nAnswer: a**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10372544639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6898 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 116270 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -253\/1785 - -1\/119. Are v and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 435 + -487.6. Let x = f - -52.7. Put -1\/17, 2, 4, x in increasing order.\nAnswer: -1\/17, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000396285531 rounded to 7 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 182182.\nAnswer: 910910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 + -1032?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4 + (216\/(-15))\/(-4)). Let n = 0 + r. Solve 4 = -3*m + 4*k, -3*m - 3*k + n = 2*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/11)\/(x*x**8))**(4\/5))**(-4) assuming x is positive.\nAnswer: x**(1648\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153*v**4 - 45522*v**2 + 12152812*v?\nAnswer: -1836*v**2 - 91044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 50. Suppose -4*p + f = -172. Let m be (92\/p + -2)\/2. Sort m, 0.4, 2\/11, -2\/5.\nAnswer: -2\/5, m, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 9) to base 2\nAnswer: -1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(416)*3)\/sqrt(8) + (sqrt(156)*3)\/sqrt(3))\/(5*sqrt(40)\/(1*sqrt(10))*3))**2.\nAnswer: 52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + k**3 + 0*k**3)*(-4 + 2*k + 4) - 431*k**4 - 67*k**4 - 110*k**4 - 2*k**4 + 2 - 3*k**2 - 2.\nAnswer: -612*k**4 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/(-22)*-3*11\/(-231)*-76?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/10 + 8266*g**3\/5 + 1295739*g**2\/10 - 264107*g + 132880 = 0. Calculate g.\nAnswer: -80, 1, 16610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 17 = -2*c, 2*c = -2*c - 2*j + 22. Factor -7*q**4 - c*q**2 + 10*q**2 + 4*q + 2*q**3 + q**4 - 6*q**3.\nAnswer: -2*q*(q - 1)*(q + 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17725 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 15240?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 13*l**2 + 13*l - 7. Let w be d(12). Solve -8 = -w*v + 2*c, -3*v + 3*c + 12 = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -19 + (18 + 1 - 13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/250)\/((-1)\/(-30)) + (-4)\/50. Solve -4\/5*x + k*x**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133228*h + 126 = -133235*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222830029 by 4.\nAnswer: 222830029\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -13*g - 21. Let m(x) = 7*x + 11. Let c(z) = -11*m(z) - 6*w(z). Let j be c(-4). Let h be 2\/(3*j\/231). What is the highest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5519910 and 946?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11345363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 33*y**2 - 328*y - 21. Let h be d(10). What is the third biggest value in 26\/7, -2\/7, 2\/79, h, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - 124*n**3 + 14900*n**4 - 14897*n**4 + 9*n**3)*(2 + 1 - 1)*(3*n - n + n + (1 - 1 - 2*n)*(-3 + 0 + 1) + 2*n + 4*n - 5*n + 7*n - 3*n - 3*n).\nAnswer: 54*n**5 - 2070*n**4 + 108*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4 - 2*l**2 - l**3 + 5*l + 0*l**2 - l. Suppose 0 = 5*h - 4*z + 35, -3*h - h = -3*z + 27. Give x(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 359\/1744 + -2\/109. Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101110010100 (base 2) to base 13\nAnswer: -32a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 16*b**2 - 16*b - 10. Let f be s(-15). Let y(t) = -7*t + 5*t + f*t. Let h(d) = 5*d**2. Calculate y(h(i)).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*d - 196224 + 98125 + 98099 - 183*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2518*h - 88119. Let m be b(35). Suppose -2*t + q = -20, 2*t + 3*q = -q. Solve t*w - 12 = m*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = f - 4*f, f + 3*x = 6. Let q = 102 - 89. Suppose q = -f*w + w. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 3\/20*l**6 - 1\/2*l**3 + 0*l**4 + 0 + 0*l + 0*l**5 + 16*l**2. What is the derivative of j(m) wrt m?\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*h - 9 = l, -4 = 4*h. Suppose -n = -2*n + 4*f - l, -2*n = -5*f + 5. Let q = 11 - n. Calculate the remainder when 32 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 463649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 8:08 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 5f6?\nAnswer: 5f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 - (0 - 0) - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21298967.6 to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b**3 - 11*b**2 - 8*b + 3. Let t(g) = 4*g**3 - 4*g**2 - 3*g + 1. Let w(c) = 3*h(c) - 8*t(c). What is the remainder when 37 is divided by w(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 2*j**5\/15 - j**2 - 149. Suppose 0 = 4*m + m - 3*x + 7, -m + 21 = 5*x. Let n = 0 - m. What is o(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 1078 = 344. Let s = g + -238. Let m be s\/6*6\/(-1). What is the highest common factor of 32 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z**2 - 33*z**2 + 6*z**2 + 14*z**2. Let i(x) = 11*x**2. Give i(o(v)).\nAnswer: 44*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.398 and -1.2?\nAnswer: 9.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*y**2 + 11*m**2*y - 3*m**2 + 1054*m*y**2 - 5*m*y + 3*y wrt y.\nAnswer: -6*m**2 + 2108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n = 4*u + 6, -u + n - 1 = 0. Put 1, -3, u in decreasing order.\nAnswer: 1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 - 5.5044\nAnswer: -5.2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*g - 3. Let n(l) = 6*l**2 + 0*l**2 - g*l**2 + l**2. Let o(f) = -3*f**2. Calculate o(n(m)).\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (564*k + 8*k**2 - 564*k)*(-5*k + 2*k + 7*k).\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385910513 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*(3044 + 3038 - 6082 - 277*x) to the form w*x + t and give w.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**7*x*x)\/((x*x**1*x)\/x))**(2\/33)\/(x**(-2\/13)\/x*(x\/(x**(5\/2)\/x*x)*x)\/x*(x*x*x*(x\/x**2)\/x)\/x*x*x**(1\/4)) assuming x is positive.\nAnswer: x**(1889\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -264? (a) 16\/5 (b) -0.8 (c) -9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjq when three letters picked without replacement from qqqjqqjjqqqqqqqq.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 98*p**3 - 154*p**5 + 152*p**5 - p**5 + 2*p**5 + 2*p**5 + (-2*p**3 + 3 - 3)*(1 - 1 + p**2).\nAnswer: -p**5 + 95*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1\/5))\/(((z\/((z*z**(-1\/6))\/z*z))\/z)\/z)*(z\/(z\/(z*z**(-2\/3))*z))**(-1\/33) assuming z is positive.\nAnswer: z**(3617\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13168, 13167, 13166, 13165, 13164?\nAnswer: 13163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -3*s**8\/56 + s**4\/4 + 2*s + 3. Let k(q) be the first derivative of w(q). Find the third derivative of k(v) wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 1, t: 7, q: 1, u: 4}. What is prob of sequence tttq?\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3194434 millilitres to litres.\nAnswer: 0.0003194434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -14, -2, 14, 34, 58, 86?\n\"Answer: 2*o**2 + 2*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4759\/3 (b) -4 (c) 0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**3 + 6*p**2 + 20*p - 83. What is q(3)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-10))\/(-1) - 9\/(-2). Differentiate 3 - 37*v**4 + 48*v**4 - a with respect to v.\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4020 and 32?\nAnswer: 32160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 809*i**2 + 2*i**3 - 16 - 2*i**3 - 196*i**4 - 810*i**2 wrt i?\nAnswer: -4704*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146610419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8129749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t - 57*t + 119*t - 22*t - 12*t - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 - 8*f**3 - 4*f**2 + 5 + 10*f**2 in the form i*f + t*f**3 + q*f**2 + c and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65260, 3\/2, 1 in ascending order.\nAnswer: -65260, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-10)*l)*l*l*l**(-3\/5) assuming l is positive.\nAnswer: l**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezetjiltzleije. What is prob of picking 1 i and 2 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66186242*x**3 - 116610629*x**2 wrt x.\nAnswer: -397117452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -33*j - 1. Suppose 106*o - 44*o = 407 + 275. What is the remainder when h(-1) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvxr when four letters picked without replacement from {x: 5, v: 1, r: 7}.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 58445056?\nAnswer: -58445060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 35378028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11586 - 11590. Let b = 1 - 2. Let t = 119 - 835\/7. What is the nearest to t in b, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2709846, -2709850, -2709854, -2709858?\n\"Answer: -4*z - 2709842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - n. Let x = 293 - 297. Let w(i) be the second derivative of -1\/2*i**4 + i + 0*i**2 + 0 + 1\/6*i**3. Calculate x*w(m) - 5*r(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/12*(-6)\/(-18)*(1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + 2 + 3 + -2*sqrt(567)))**2.\nAnswer: -432*sqrt(7) + 9108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.304\nAnswer: -1.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 851*r + 19915. Calculate h(-23).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -29993\nAnswer: -8\/29993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19183 or 19186?\nAnswer: 19183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(64)*5.\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -357 + 356. Which is the closest to p? (a) 2 (b) -14 (c) -1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n = -4*b - 17, b + 4*n = 0. Let f(m) = -m**3 - 4*m**2 - 7*m - 7. Does 7 divide f(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -0.09.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*f**2*q*s - 14*f*q*s + 1135*f*q + 33171*q*s - 2*q - 6*s with respect to f.\nAnswer: 44*f*q*s - 14*q*s + 1135*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -4*((-1 + sqrt(108))*5 - -3*sqrt(108)*1))*-3)**2.\nAnswer: -51840*sqrt(3) + 997353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 25 = -5*u, -u + 177 = -26*l + 31*l. Let q be (-10 + 1 + 0)*1. Let t(g) = g**2 + 7*g - 5. Calculate the remainder when l is divided by t(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(9))\/(-1*sqrt(3)*-1) + 6*sqrt(15)\/sqrt(20)*4)**2*-3.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22e49a (base 15) to base 12.\nAnswer: 685547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i**2 - i. Let n(b) be the second derivative of -b**3\/6 + 5*b**2 - 3*b. Let t be n(7). What is v(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*q - 20, 7*b - 5*q - 65 - 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*f - 279, -4*f = -3*s - 0*s + 159. What is the smallest common multiple of 15 and s?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.4425905 to zero decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/15 - 25824\/(-45). Suppose -934 = -4*x + w. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3065207, 6130501, 9195795, 12261089, 15326383?\nAnswer: 18391677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + m - 1. Let i = 23 - 8. Suppose -3*c = -2*j - 8*c + 4, i = -3*j + 3*c. Let n = -7 - j. Let b(r) = -2*r**2 - r + 1. Give n*b(z) - 5*s(z).\nAnswer: -2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {b: 2, c: 1, o: 2, j: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 12:40 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**5 + 2*o**5 - 5*o**5)*((28 + 15 - 21)*(-3 + 1 + 0) - 11 + 117 + 21).\nAnswer: -83*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000111110011010 (base 2) to base 11.\nAnswer: -127796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899015153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2\/(-3))\/(80\/440) - -4)*60. Solve -2*i - 2*q - 45 = -49, -4*q = -c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130*h**3 - 1713*h**2 + 16822819*h.\nAnswer: 780*h - 3426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-3)\/(15\/10). Suppose -10 + 2 = -l*n. Suppose -n*t = -9*t + 20. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 5*o**2 + 393*o + 2372. Determine q(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dee when three letters picked without replacement from {u: 4, q: 1, d: 4, m: 2, e: 9}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 16260499769761*x**2\/7 + 8064862*x\/7 + 1\/7 = 0.\nAnswer: -1\/4032431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**3\/3 - 3*d**2\/2 - 3*d - 27. What is v(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351 divided by -351.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(931) - (sqrt(931) + -2 + (sqrt(931) + 0)**2)))*3.\nAnswer: -2787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5409041?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*3*-3*10\/75?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + 5*u)*(2 + 3 - 1 + (1 - 2 + 3)*(3 + 2 + 2))*(-6 + 4 + 4)*(1 + 0 + 0).\nAnswer: 72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Let w = -52.42 + 4.32. Let x = 48 + w. Which is the fourth smallest value? (a) 3\/5 (b) x (c) o (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 1044\/21 - (4 + (-60)\/14). Suppose -x + f = 9*x. Which is the nearest to 4? (a) 0.08 (b) x (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 11*b - 32. Let h be (1\/2)\/((-2)\/(-8)). Suppose 10 = b*s - 0*s + w, w = h*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588476 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3.6, 1\/7 in increasing order.\nAnswer: -3.6, -2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 79 - 163 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -173, -282, -411, -566, -753, -978, -1247?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 8*g**2 + 8*g - 25. Let d be f(-9). Let k = -12 - d. What is the remainder when 5 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 13 + 3. Solve -2*b - t = -2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/6 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35\/9178 + 729359\/3533530. What is the common denominator of 27\/2905 and y?\nAnswer: 31955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10231 + 124?\nAnswer: 10355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -33. Let y be u\/(-90) - (8\/(-5))\/(-2). Let r(q) = -q**3 + 1. Let o(n) = n**2 - 4*n**3 + 6 + 0*n**2 - n**3. Calculate y*o(g) + 6*r(g).\nAnswer: -g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9396 - 6401. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 7. Let y be o(4). Suppose y*n - 489 + 104 = 0. What is the highest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10*(-6)\/(-27)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 283*n**2 - 16133*n + 117. What is o(57)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 27*f**5 + 2079*f**4 + 40992*f**3 + 35352*f**2 - 68400*f + 17328 = 0.\nAnswer: -38, -2, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 3444?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -31*w**3 + 51*w**2 + 258*w + 46. Determine q(-5).\nAnswer: 3906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -219603 or -219604?\nAnswer: -219604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29333 divided by 849\nAnswer: -29333\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 142, -10, -2 in decreasing order.\nAnswer: 142, -2, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from emeemeenemeeeeeeeeee.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.8. Let z = -1507\/5201 + 3\/743. Sort -0.2, -1\/8, z, g in decreasing order.\nAnswer: g, -1\/8, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 4*o - 1, -4*o + 3*s + 7 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(192) - (sqrt(192) - sqrt(192)*3*-6) - (sqrt(192) + sqrt(192) + -4)*6)**2)*-2 + -2)*-2.\nAnswer: -46080*sqrt(3) + 693500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -146*m**2 + 202*m + 15. Let w(j) = -147*j**2 + 201*j + 12. Let d(r) = -4*q(r) + 5*w(r). Find the second derivative of d(s) wrt s.\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 8:30 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/50*(-1280)\/1024?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, and 2 i when four letters picked without replacement from sabia.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -16. Solve -2*w = 2*c, -f*c + 6*c - 12 = w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -251*s**4 - 259*s**4 - 1 + 512*s**4 + 2*s + 603*s**2 in the form a*s**3 + o*s**4 + z*s**2 + g + b*s and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w - 9. Let a be z(2). Suppose a*p - 1 - 14 = 0. Suppose -2074 = p*y - 2*t, -y - 5*t = -4*y - 2080. Round y to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(24)\/(sqrt(8) - (sqrt(8) + sqrt(72))) - sqrt(27)\/(sqrt(9)*-1)) + -4 + (sqrt(27)\/(sqrt(18)\/sqrt(2)) - (sqrt(18)\/sqrt(3))\/sqrt(2))).\nAnswer: -4*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 203, 1045, 2913, 6185, 11239, 18453, 28205, 40873?\n\"Answer: 63*j**3 + 135*j**2 - 4*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Let s(p) = p**3 - 5*p**2 - p + 5. Let i be s(y). What is the first derivative of -2*t**2 + 4 + 0*t**2 + i*t**2 + 6*t**2 wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -8.8, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*z - 22. Suppose -3*m - 20 = -3*r + m, 0 = 4*r - 4*m - 20. Solve r*n + z = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 13) + -52 + 14 - (-3 + -8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 94671981 and 0.06?\nAnswer: 94671980.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*p**3 + 1503*p**2 + 5*p - 4112212 wrt p?\nAnswer: -27*p**2 + 3006*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 12*f**2 - 9*f + 28. Let u be i(-11). Solve -2*k + 5 = 3*h + u, -4*k - 5*h + 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -114, -159, -196, -219, -222, -199?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + 39\/12 + 4\/(-16). What is the derivative of 33*j + 16*j**4 - n - 33*j wrt j?\nAnswer: 64*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46337 + o**2 + 23170 - 29*o**2 + 23167.\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -b1 (base 13) to base 3\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 145 + 181 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3))**(-1\/14)*g**5\/g*g**(-1\/4))**(-1\/80) assuming g is positive.\nAnswer: g**(-313\/6720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/193 in -20\/9, -1\/6, 61, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44555208911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -128\/11, -4, 75, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 1402*v - 1387*v. What is the lowest common multiple of 40 and v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2 + 106*o**2 - 105*o**2 + 5*o - 4. Let t(z) = 2*z**2 - z + 2. Let v be t(2). Let h be (18\/v)\/(6\/(-16)). Determine b(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176593018 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -38. Suppose -2*l + 58 = -2*r, 2*r - 95 = -2*l - 17. Calculate the remainder when l is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32959 = -16*w + 12945. Suppose 0 = 2*d + d - 2*h - w, 0 = -4*d + 2*h + 3824. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/2 + 2067*n**2\/2 + 379690*n + 755250 = 0. What is n?\nAnswer: -1590, -475, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -9*m + 14*m - 1210, 4*m = s - 237. Suppose 3*v - 1231 = -s. What is the greatest common divisor of v and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 25*g - 38 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 883979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 41160.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 + 104882 + 275113 + 15*f**3 - f.\nAnswer: 7*f**3 - f + 379995","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/1 - -11)\/1. Let c be (1500\/b)\/((-2)\/(-46800)). What is c rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43097877161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (284 + 14)\/((5\/(-2))\/5). Let j be 4\/(-5) + r\/5. Let t be j\/6*(-375)\/(-8)*-5120. Round t to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-10) + 273\/735)*21\/6. Solve -3*v - t*v - 29 = -i, 0 = 2*v - i + 11 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 21 = 3*d, -10*d + 5*d - 2*p = 24. Let i(q) = q**3 + 6*q**2 - 2*q - 10. Let w be i(d). Is 10 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**5\/40 - 3*r**4\/2 + 19*r**3\/6 + 9*r**2. Let k(h) be the first derivative of d(h). Let c be k(12). Is 4 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.3, 2\/13, -9, 0.201 in descending order.\nAnswer: 0.3, 0.201, 2\/13, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.018 (b) -0.4 (c) -3\/7 (d) -0.5 (e) -3058 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.4 (b) 4 (c) -3041\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4982 divided by -53?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 42. Suppose 0 = -2*b - z + 195, 4*z - z - 391 = -4*b. Suppose 436 = 4*q + d*w, 0 = -q + 5*w + 36 + b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 j when three letters picked without replacement from {j: 4, v: 4, s: 3, f: 2, h: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0985972 to 3 decimal places.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5 - 227*b**4\/4 - 69*b**3\/4 + 673*b**2\/4 + 625*b\/4 + 57\/2 = 0 for b.\nAnswer: -1, -1\/4, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 1. Suppose l + 4*a - 20 = 2*l, 3*l = 2*a - 10. Suppose -b + 1 = -l*b. Let k(u) = 1. What is b*k(h) - x(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8238 - -3.8238. Let q be 2\/(-3) - 56\/(-66). Sort -2, -4, n, q.\nAnswer: -4, -2, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -5, -2\/31, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 162 = -12*a. Calculate the greatest common divisor of a and 1060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 577 or 504?\nAnswer: 577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, m: 1, j: 6, q: 3, b: 4, o: 3}. Give prob of picking 2 o and 2 b.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 - 145. Let f = -8 + 5. Which is the biggest value? (a) g (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358194037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1981360 (base 11) in base 7?\nAnswer: -40250225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 5.6 (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 100. Let k = 472.5 - 432.56. Let f = k - u. Round f to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7354*d - 89 = 4*i + 7351*d, i - 18 = -d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 25*r**2 - 14*r - 82. Give c(11).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -1\/4, -8100 in increasing order.\nAnswer: -8100, -1\/4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -203 - 222*x**4 + 193*x**4 - 120*x**4 - 721 wrt x.\nAnswer: -596*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 3 - 3)*(0*c - 6*c - 4*c) + (2*c**2 + 4 - 4)*(2*c**2 - 3*c**2 - c**2).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 12) to base 9.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(5)*-1) + 0 + sqrt(17) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10937125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9790.68 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17550 divided by 585?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -551*y**3 + 14*y**2 - 5*y - 3. Let c(d) = -1102*d**3 + 23*d**2 - 8*d - 5. Determine -3*c(a) + 5*s(a).\nAnswer: 551*a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 655000 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 521, 1177, 2095, 3275?\nAnswer: 4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvzz. Give prob of sequence tzvz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1 (b) 1 (c) -0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 5*d**2 + d - 32. Let j be l(6). Suppose j = 5*s, -3*s - 106 = -5*t - s. What is the remainder when 40 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/238 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, h: 4}. What is prob of picking 2 h and 2 e?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -270, 182.\nAnswer: -270, -3, 3, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - ((-12)\/16 + 31\/4). Let h be 4*(2 - (-20)\/u). What is the hundreds digit of (-1 + (-182)\/(-6))*(-12)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 6)*(2 - 1). Suppose 2*z - 11 = h. Suppose 0 = -4*u, 0*o - 2*u - 20 = -2*o. What is the remainder when o is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 - 104. What is the remainder when 134 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11695 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0452956 centuries to millennia.\nAnswer: 0.00452956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/509, 3\/4, -1\/3, -2?\nAnswer: 2\/509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75306748 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6104644960.\nAnswer: 2, 5, 38154031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*n - 31*n + 23*n to v + w*n and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*d = -43, -2*i - 3*d = -29 + 26 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 - 7*p**3 - 5*p**3 + 23*p**3 - 6*p**3 - 9*p**3.\nAnswer: -4*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212083*b - 54976*b + 392870*b + 930318*b.\nAnswer: 1056129*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*((0 - 4 + 5)*(-2 + 2 - f) + 2*f - 2*f + 2*f + 3*f - 2*f + 41840 - 41845) in the form c + y*f and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3 - 330*i**2 + 2832*i = 0. What is i?\nAnswer: -118, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.0369?\nAnswer: -0.01476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-25)\/35)\/5)\/(1 - 0). What is the nearest to 1 in -18, v, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28891, 57909, 86927, 115945, 144963?\n\"Answer: 29018*o - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 - 46*u - 39 - u - 4*u + 4*u + (u - u + 2*u)*(3 + 2 - 3) + 2*u - 2 + 2 + (4 + 1 - 3)*(5*u - 3*u - u) - 2*u - u + 7*u in the form l + y*u and give y.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45a4 (base 12) in base 6?\nAnswer: 55524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273812158.0000046 - 273812199. Let o = s + 41. Round o to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/8 + (-49)\/(-4). Suppose 2 = -5*l - z. Is (1 + 2)\/l - -20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2172*i + 1138*i - 4345*i - 894*i.\nAnswer: -6273*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3650 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**3 - 14*v**2 - 32*v + 197. What is the hundreds digit of m(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4323110 - -4?\nAnswer: 4323114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*x**2 + 33 + 16*x - 33 wrt x.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 4:15 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 4, -96666 in ascending order.\nAnswer: -96666, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2264511066 to the power of 1\/4, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**5\/60 - 7*y**4\/12 + 7*y**3\/6 + 151*y**2\/2 - 3*y + 31. Let m(v) be the first derivative of k(v). Calculate m(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 25 + 19)*(0*h + h + 0 - 5 - h**2 - 4*h**2) as g + p*h**2 + i*h and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -195 + 364. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 50 = -148. What is the remainder when f is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 91*m**2 - 40*m - 175. Calculate the remainder when d(45) is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) -1\/92 (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 17*b - 19*b. Suppose -b*y = -96 + 21. Let u = 77 - y. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) -3 (c) -8.3 (d) -22 (e) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 532506?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/20? (a) -1\/3 (b) -0.17 (c) 5 (d) 1\/82 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*n - 19*n**3 - 11*n**3 + 425*n.\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*u - 25 + 175, 0 = b + 4*u + 30. Let f be 4\/(-1) - (b + (-1 - -3)). What is the highest common divisor of 588 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 4*g**7\/21 + 91*g**5\/20 + 304*g**3 + 1191*g. What is the second derivative of p(o) wrt o?\nAnswer: 160*o**3 + 546*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5357*m. Let h(w) be the second derivative of -w**3\/6 - 3355*w. What is k(h(z))?\nAnswer: -5357*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 22*u**2 + 17*u + 93. Let h be m(-22). Is -275 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + s - 95. Let f(z) = -z**2 + 12*z + 1. Let l(c) = 4*f(c) + m(c). Let b(d) = d. Determine l(b(j)).\nAnswer: -j**2 + 49*j - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/v**(-2\/7))\/(((v*v**(-1\/4))\/v)\/v*v\/(v*v**2))*(v**(-1\/5)*v**(-6)\/v)\/(v*v**(-1))**(-14\/5) assuming v is positive.\nAnswer: v**(467\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -2*m, -2*m - 1 + 11 = -3*s. What is the derivative of 2*o + s - 3 + 4 wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -294*y**2 + 2. Let c(d) = -33762*d - 3. Give c(j(p)).\nAnswer: 9926028*p**2 - 67527","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760\/280*2\/11?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + x**2 - x)*(-32 - 42 - 1) + (-5 + 0 + 2)*(2*x**2 - 2*x + 2*x) in the form v*x**2 + i + w*x and give v.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1892055 and 93719791.\nAnswer: 1405796865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.09 + -2.09000191. What is a rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -630, 2\/5, -1\/5, -213, 2\/7 in descending order.\nAnswer: 2\/5, 2\/7, -1\/5, -213, -630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s - 5. Let q be w(-4). Let p be q\/(-9)*45\/(-50). Factor 0*c - p + 3\/2*c**2.\nAnswer: 3*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-35)\/10)\/(2\/(-4)). Suppose i*p = 24 + 11. Does 3 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -93 = -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31591 (base 14) to base 10.\nAnswer: 119099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - h. Let d(c) = 5*c**2 + 6*c. Let r(u) = -d(u) - 6*o(u). Give r(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1147 - 171. Let p = 981 - s. Solve -5*w = -4*y - p, 3*w - 35 = -4*y - 0*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*b + 72*b + 96*b + 77*b - b**2 + 89*b.\nAnswer: -b**2 + 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -11)*(-3)\/(-6). Let p(r) = -r**2 + r - 1. Let z(x) = -10*x**3 + 5*x**2 - 5*x + 7. Let j(q) = s*p(q) + z(q). What is the derivative of j(v) wrt v?\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68587019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39864729.945 from 4.\nAnswer: -39864725.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4457692 and 20.\nAnswer: 22288460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 28 = -5*j + j, 24 = 4*w - 2*j. Let h = -0.3 - 0.1. Sort w, h, -3\/2.\nAnswer: -3\/2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-479*w - 795*w + 375*w - 776*w)*(-w**3 + 0*w**3 + 4*w**3).\nAnswer: -5025*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-4)*1\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3631459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*j = -0 + 31, 2*m = -j - 14. Let s be (-58)\/18 + (20\/9)\/10. Put -4, -2, m, s in increasing order.\nAnswer: m, -4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -41 - 17*z**2 + 14 + 14 + 17 + z + z**3. Let d be m(17). Solve 4*p + 5*t + d = 0, 3*p = 4*p - t + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -12763 (base 8) to base 5\nAnswer: -134434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1148400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 15. Let n(g) = 8*g**2 + 2*g. Calculate the smallest common multiple of n(r) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-13 - -10) + 7 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 4*t = -12*t + 68876. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -35, -147, -367, -731, -1275?\nAnswer: -2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myqqjyjyqjpyyg. Give prob of sequence qm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*n**5 + 849*n**2 + 2*n**3 - 849*n**2 + (6*n + 7*n - n)*(-n**4 + 0*n**4 - 10*n**4).\nAnswer: -103*n**5 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(2*70\/(-80))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45958235*3\nAnswer: 137874705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218579*h**4 - 158248 wrt h.\nAnswer: -874316*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/6)\/(0 + (-8 - -2)). Let z = -78\/5 - -76\/5. Which is the nearest to 1? (a) z (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9309*h = 9268*h - 410 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*16.28.\nAnswer: 97.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 1. Let s be u(-1). Let d be (1 + 2 + 0)\/(1 - s). Is d greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3311 + 3329. What is the greatest common divisor of g and 7974?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, 0.5, -42\/19, -132?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1071142 - 1.6486337\nAnswer: 1071140.3513663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 118 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 11. Let s be x(8). Suppose 4*a + c = -4 - 1, 2*a - s*c = 15. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156287 is divided by 407.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 96 = -1261*c + 1256*c, -2*h + 78 = 4*c. Suppose 3*j = -0*j. Let v(i) = i + 18. Calculate the least common multiple of c and v(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/54 and 76\/2177577.\nAnswer: 4355154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 1565*w - w**2 + 0*w**3 + 1547*w + (1 + 2 - 4)*(4*w + w - 3*w)*(w - w - 4*w**2).\nAnswer: 10*w**3 - w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -50 (b) -0.05 (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 - 74.7. Let x = o - 6.3. Let m = x + -30.00000031. What is m rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*o = 89*o + 1625. Let l be 2\/3 + o\/1650. Is l at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 3:27 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*i - 23 - 9 = 0, -4*r - 5*i + 28 = 0. Let v = r - 2. Suppose 7*x + 144 = v*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 2 (c) 1\/6 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(4\/11)))\/(t*t**(2\/45))*(t**(2\/17)\/t)**(-28) assuming t is positive.\nAnswer: t**(196051\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*(sqrt(170) + sqrt(170)*1)\/sqrt(10) + 0))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -744, -602, -458, -312?\n\"Answer: h**2 + 139*h - 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*n = 3234, -147 = -4*n - 159. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 33 + (1 - 22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((70\/8085*33)\/(1\/329))\/(-2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*g + 7042 + 5387 - 2317 = -47*g for g.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 48\/109 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - 716*j - 4 + 357*j + 355*j in the form u*j + b*j**2 + t + o*j**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = j - 6*j - 50, 2*n = 4*j - 14. Which is smaller: n or -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1, 0, -61, -2.\nAnswer: -61, -2, 0, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.24 - -8. Let b = w - -4.3. Let j = b - 0.06. Is -0.1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10817 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39335478733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17843 + -12282. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 - 245 - 354*g + 124)*(g - 5*g**2 + 2*g**2 + g).\nAnswer: 1062*g**3 - 696*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -943 in 2\/7, 0.07, -2, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 1)*(-13*d - 391 + 391)*(3*d - 3*d - 4*d).\nAnswer: -208*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009722 rounded to four dps?\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**3\/27 + 11*j**2\/9 - 25*j\/3 - 1321. Factor l(f).\nAnswer: (f - 3)*(f + 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 613 + -553. Solve -x*a + 65*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -278064 divided by 3\nAnswer: -92688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 254?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) - 95\/(-25). Suppose -c*l + 37 = -m + 4*m, -20 = -2*l - 2*m. Let v be (-26)\/(-10) + (-21)\/l. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((-252)\/2328) - -7?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113731 + 26732 = -11*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 105. Calculate y(27).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200622.\nAnswer: 2, 3, 29, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2\/2 - 12735*t\/2 - 19089 = 0.\nAnswer: -4242, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence immi when four letters picked without replacement from {o: 2, m: 3, i: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -60. What are the prime factors of p?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from pppppdpppdpppd.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 2 = 7*h, -3 = 2*y + 3*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 773628 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 = 14. Let m(z) = -2*z**3 - 2*z**2 + 1 + z**3 - z**d. Suppose 2*o - 6 = 0, w - 6 - 2 = -3*o. What is m(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 2*s + 5*s)*(-4 + 2 + 4) to k*s + y and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 75?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 9*u**2 - 21*u - 10. Is 11 a factor of g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1496*f - 52*f**3 - 1496*f.\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from xxxkxxvxkxkvxxxxvkcx.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a + -10725?\nAnswer: -10656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 338*v + 5 + v**2 - 678*v + 337*v. Let n be y(0). Suppose -n*d = -15*d + 60. Solve -20 = d*f - 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j + 68. Let i be w(-11). Let h be -1*(0 - (-2)\/(-12)). What is the smallest value in -1, i, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/132)\/(155\/(-465))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.956158 micrograms in nanograms?\nAnswer: 5956.158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, -4, -1, 0, -40 in increasing order.\nAnswer: -40, -4, -1, 0, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43b132 (base 16) to base 4.\nAnswer: 100323010302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.3. Let q = c + 0.1. Let w(f) = -f**2 + 6*f - 2. Let t be w(1). Sort t, q, -0.5 in decreasing order.\nAnswer: t, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (2 + sqrt(567))**2) + -4.\nAnswer: -575 - 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101958388?\nAnswer: 2, 7, 3641371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(132)*1*-6 + sqrt(132))*1)\/((sqrt(336)\/sqrt(7))\/sqrt(4) + (sqrt(12) + (-2*sqrt(108) - sqrt(108))\/sqrt(9) - sqrt(12))) + 3.\nAnswer: 3 + 25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29, -2, -0.5, -0.2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 2, z: 2, e: 1}. Give prob of sequence zfd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from qdd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 316631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1448 and 8.\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 20515860 - 2488548. Suppose -4*k = -609104 + w. Round k to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472809 - 490762791?\nAnswer: -490289982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1924606555 - -900716352823\/468. Let g = c - 9310\/9. Calculate the common denominator of -97\/18 and g.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4009 - 6*w**2 + 2004 + 2005.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + -56. Calculate the common denominator of (-4)\/12 - t\/(-6) and -37\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*d + 236*d + 240*d + 48 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -27. Which is the nearest to m? (a) -4\/7 (b) -2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -202, -256, -332, -436, -574?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nby when three letters picked without replacement from {m: 3, b: 2, z: 3, n: 3, y: 6}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69*m**2 - 39 + 36 + 12*m**2 + (2*m - 4*m + m)*(3 - 2*m - 3) + 0*m**2 - m**2 - 4*m**2.\nAnswer: 78*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59099703?\nAnswer: 3, 13, 1515377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/150 and 17\/74825.\nAnswer: 448950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 1, m: 1, j: 2, c: 1, y: 1}. Give prob of sequence ybw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -5*l**6\/24 - l**5\/15 - l**4\/6 + l**3\/2 - 111*l**2. Is u(-2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 - 96. Let l(f) = -f**2 + 32*f - 40. What is the remainder when l(a) is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - w + 2*w**3 - 3*w - 3*w**3 + 4*w**3 + w**3 + (w + 5 - 5)*(w**2 + w - w) + 43*w**2 - 43*w**2 + 6*w**3.\nAnswer: 11*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22349*p**3 - 14 + 10 + 36*p**4 + p**2 + 22325*p**3 to c*p**4 + x*p**3 + t + z*p + g*p**2 and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72410 divided by -130.\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-21) - (-99)\/21. Suppose -3*r + 0 + 5 = -y, -3*r + 29 = u*y. What is the third biggest value in 4\/5, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1105201044 + -11?\nAnswer: 1105201033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 - (18 + 12 + 2)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.311+185\nAnswer: 184.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30177179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 28. Calculate the least common multiple of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.265294 and -10.\nAnswer: 72.65294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11308.\nAnswer: 2, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**2 - 7*s**2 - 3*s**3 + 2 - 7 - 6*s**4 + 4*s**4 as p*s**3 + m + g*s**4 + x*s**2 + t*s and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1577897, 3155807, 4733723, 6311645, 7889573, 9467507, 11045447?\n\"Answer: 3*x**2 + 1577901*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpppzppppzppppp. What is prob of picking 1 p and 1 z?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 561*q + 558*q - 1113*q - 99 in the form z*q + i and give i.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -120*c - 40*c - 61*c. Suppose 0 = 3*l - 0*l + 3. Is q(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73336674455 less than -1353?\nAnswer: 73336673102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.2312572 + 15.1777. Let c = 0.0534 + k. Round c to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -370*u + 368*u. Let d(t) = -51*t - 4. Let l(o) = -154*o - 11. What is u*d(m) - 4*l(m)?\nAnswer: 55*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5763300217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/1644, 0.5, -12, -2\/7, 0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49a3178 (base 12) to base 7.\nAnswer: -233236304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 23 + 11 = -5*c, 5*x = 10. Put c, -2, -1 in increasing order.\nAnswer: c, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.19 + 16.49. Let n = k + -13.8. Let h = 7\/2 + -4. Which is the nearest to h? (a) n (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 172*h + 7049. Calculate k(84).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129434 is divided by 180.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*c + 21 + 14, 2*g + 5*c = -15. Suppose 0 = 3*y - 1 - 8. Calculate the least common multiple of g and 0 + 4*y\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6753, 13509, 20265, 27021, 33777, 40533?\nAnswer: 47289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140539, -140532, -140525, -140518, -140511?\nAnswer: -140504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 171\/4 - (-3)\/(-4). What is the highest common factor of 55 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 36 - 9. Suppose -2*k + z = 3. Let p(v) = 2*v - 2. Let o be p(2). Solve -o*g = -k*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/10*(-12)\/9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-21) + 60\/1344*-18. Which is the fourth biggest value? (a) -9 (b) 2 (c) -3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11696 + -7340. Is r a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 81\/12*-2*(-200)\/(-30). Does l = -535\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*o + 44*o - 122*o**2 - 335*o**2 - 42*o**2.\nAnswer: -499*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 77? (a) 1 (b) 0.7 (c) 1557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -238.4 + 17.4. Is -2\/3 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5780\/9826*17\/6\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -421.2 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11 - b**2 + 42*b**3 + 11 - 2*b + 183*b**3. Let d be k(-2). Round d to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvm when three letters picked without replacement from {n: 2, k: 3, v: 1, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1 + 2 - 0). Let s be 1\/(c + (-3)\/(-6)). Suppose 2*r + 2*r = s*q + 20, -2*r - 2*q = -22. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*u**4 + 99722*u**3 + 3527219*u**2?\nAnswer: 144*u + 598332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -171*h. Let c(y) = 6*y - 8*y + 0*y - y - 2*y. What is o(c(z))?\nAnswer: 855*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -27. Is ((-16)\/r + -3)*-6 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304 - -296.94. Let w = m - -7. Let h = 2.06 + w. Which is the nearest to -0.1? (a) -4 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62\/14491 or 1?\nAnswer: 62\/14491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1952331 is divided by 645.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/(95\/(-380))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1846 and 22208516?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -244 * 57603\nAnswer: -14055132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 969 and 499377?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7404754 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*c = -1 + 7, 4*g - 2*c - 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 17605*q - 17606*q + 2822 + 3188 in the form r*q + n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -32*v**2 + 17. Let j(q) = 63*q**2 - 35. Let s = 34 + -40. Let r(a) = s*j(a) - 13*y(a). Differentiate r(u) with respect to u.\nAnswer: 76*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17\/7, 31.3, -0.4, -3, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**3 - 5*r**3 - 3*r**3)*(8 - 8 - 12*r) + 2*r**2 - 3*r**4 - 13*r**4 + 13*r**4 - 5*r**3 to the form y*r**2 + s*r**4 + x*r**3 + u + a*r and give s.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*-2 - sqrt(25) - sqrt(25))\/sqrt(5) - (sqrt(605) + sqrt(605) + 0)**2*5.\nAnswer: -12100 - 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + -30?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 8*j - 8*j. Let c(i) = -i**3 + 3*i**2 + i. Let r be 8 + 0 + 11 + -17. Determine r*c(h) + 5*w(h).\nAnswer: -2*h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -14*z - 2. Let x(r) = 42*r + 6. Calculate 16*i(d) + 5*x(d).\nAnswer: -14*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-30)*(-16)\/20*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/5*o**5 + 0 + 0*o + 0*o**2 + 29\/5*o**3 - 28\/5*o**4 = 0. What is o?\nAnswer: -29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -39*t**2 + 2850*t + 8565. What is o(-3)?\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 208, 318, 428, 538?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 15*p + 91 = 4*p, -6*p = -2*s - 32 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1527240.33 + 1527233.3299951. Let o = 6.987 + 0.013. Let n = v + o. What is n rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 122211101?\nAnswer: -122211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -47, -60, -71, -80, -87?\n\"Answer: v**2 - 18*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 183500*d. Let s(x) = 94*x. Determine f(s(w)).\nAnswer: 17249000*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 48?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 18 = -x. Let d be (0\/x)\/(1 - -1). Solve d = y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 34*l**3 - 6*l**2 + 2*l + 3. Let u be m(2). Let c = u + -251. Solve 2*r - c*j + 9 = -5, 3*j - 21 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-63)\/(-135) - 93\/(-60). Let l(n) be the second derivative of -p*n**3 + 0 + 2\/5*n**2 - 18*n + 1\/120*n**4. Find u such that l(u) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8451763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 46. Suppose -4*p - t*b - 24 = -70, -4*p = 5*b - 61. What is the remainder when 18 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3626, -3582, -3538, -3494?\n\"Answer: 44*u - 3670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (18 - (-7 - -17)) + -19.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:33 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:46 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-78))\/((-2)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 - 6*a. Let v(h) = 5*h**2 + 5*h. Let k(p) = 5*c(p) + 6*v(p). Let b(j) be the second derivative of 0*j**2 + 1\/3*j**3 + 5*j + 0. Give b(k(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -79504257 >= -79504258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 2*a + 2. Let s(h) = -h**2. Let q(n) = 2*i(n) - 6*s(n). Let o(v) = -v + 6. Let k be o(7). Let j(r) = -r - 1. What is k*q(b) - 4*j(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108531)\/(-837) + -119)*2\/16.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.35 - 0.350018. Round w to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p + 115. Let z be x(-12). Suppose 0 = -3*v - 4*y - 0*y + 3, 0 = -2*v - 3*y + 2. Sort 4, z, v in decreasing order.\nAnswer: 4, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, u: 4, b: 5}. What is prob of sequence uu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.63 + -17.5. Which is the biggest value? (a) q (b) 3 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 - 114 = -3*x. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven quarters of a second?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 110*k**3 + 45*k**2 + 45*k - 45. Let q(f) = -5*f**3 - 2*f**2 - 2*f + 2. Suppose 13 - 103 = -2*y. Determine y*q(g) + 2*v(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 2*k)*(-3 + 4 + 0) + 4 + 2*k - 4 - k - 4 - 6 - 7.\nAnswer: 2*k - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, -3, 0.23 in descending order.\nAnswer: 2, 0.3, 0.23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+22034421.91\nAnswer: 22034421.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 21 = 2*p, 0 = -5*p - c - 15 + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7692915 is divided by 92?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 11. Let o be h(13). Let n(u) = -3*u**o + 3*u**2 - u**2. Let a(p) = -3*p**2. Give a(n(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 28\/16)\/((-20)\/48*3)\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25525319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 30*x - 36 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1675 = 1154*o - 568*o - 561*o for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -624 + 1195. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/((-5)\/(-30) - (-2)\/6). Let n(f) = -8*f**3 - 12*f + 12. Let k(s) = s**3 + s - 1. What is a*k(m) - n(m)?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 15. Put -4, 0.1, k in increasing order.\nAnswer: -4, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-12 + (-2 - (3 - 10))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/(-3) + (-4)\/6. Suppose 0*x - p*x = 5. Let o be 0*x*(-1)\/(-2). Solve 0*d - d = o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -10, 0, 257 in descending order.\nAnswer: 257, 49, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 70*g**3 + 2*g**2 + g - 8. Let p be j(-3). Let u = -1087 - p. What is the hundreds digit of (u\/(-8))\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 29994650.\nAnswer: -13\/29994650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {d: 8, y: 1, t: 5, e: 1, z: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 3*y**2 + 2*y + 1. Let p be a(2). Let i be 102\/(-58) + 1 + p. Let b = i + 103\/174. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 233 (c) -4 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -10*g + 3*j + 35, 5*g + j = -161. Let n(o) = -o**2 - 37*o - 7. Does 9 divide n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a microgram in nanograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552442 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 3*t**2 + 88*t + 275. What is z(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -29*c. Let n(s) = 3*s + 268. What is p(n(t))?\nAnswer: -87*t - 7772","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1012 + 1011.93. What is the closest to x in 0.4, -0.7, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7) + -1)**2 - -4*(0 + sqrt(7))) + (sqrt(5600) - sqrt(5600)*1)\/sqrt(8).\nAnswer: -32 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(-1\/18)))\/(w*w*w**(5\/4)\/w))**21)**50 assuming w is positive.\nAnswer: w**(-13825\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2. Let i(f) be the first derivative of 117*f**2 + 1282. Calculate c(i(m)).\nAnswer: 54756*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-1\/5)*h*h))\/(h\/(h*h**(2\/19)))*h*h\/(h*h\/((h*h\/(h**(-7)\/h))\/h))*h**(-3) assuming h is positive.\nAnswer: h**(409\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85290564 by -1672364.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -179*u**4\/3 + 169*u**3\/2 + 3*u - 34. Find the second derivative of c(q) wrt q.\nAnswer: -1432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1171 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2760, 3997, 6060, 8949, 12664?\nAnswer: 17205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1 - (99 - 102)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + y - 40. Let n be z(0). What is the common denominator of 6\/5 and 74\/n - 2\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7202565469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 3)*12\/(-90). What is the second biggest value in 2, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00258 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2.2646, -463 in decreasing order.\nAnswer: 2.2646, 1\/5, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 8*v + 2*v**2 - v**2 - 1. Let w be g(6). Suppose w = 4*t - 13. Solve t = f + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 - 6*j - 3. Let u(t) = 84*t**2 + 136*t + 68. Let s(p) = 136*o(p) + 6*u(p). Let v(k) = -136*k. What is s(v(d))?\nAnswer: -739840*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-16)*(-1430)\/71500.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let v(w) = w**2 - 7*w - 6. Let o be v(8). Let k = o + -6. Let t be p(k). Solve t = y - 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13879.57 minutes in nanoseconds?\nAnswer: 832774200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1054.1 - -1053.8. Let t = -1.59 - 1.36. Let h = t - 0.05. Which is the nearest to -1? (a) h (b) 3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q + 25. Let h(t) = 2 + 312*t**2 - 313*t**2 + 2*t + 8 - 7*t. Calculate the smallest common multiple of 12 and h(q).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 221 + -222. Let r = 4.8 + -5. Which is the nearest to v? (a) -1\/2 (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4110 and 3760.\nAnswer: 1545360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.012 - 19.988. Let h = 17 + s. Sort 2, 0, h in descending order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -14) + (3 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 6.52 (b) -2\/13 (c) -6\/5 (d) 4 (e) 6\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 1 = 13*s - 10*s, 0 = 4*a - 2*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1277576, -1\/6, 2, 3\/2, -1\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 2\/25 (b) 4 (c) 2 (d) 1 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y - 1. Let k(x) = 5*x**5 + 5*x**4 + 25*x**3 - 25*x + 25. Let n(z) = k(z) + 25*p(z). Factor n(t).\nAnswer: 5*t**4*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y - 1. Let j(o) = -20*o + 27. Let z(w) = 9*w - 12. Let a(p) = -3*j(p) - 7*z(p). Calculate a(d) + 5*g(d).\nAnswer: -5*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -17*g**6\/8 - 101*g**5\/10 + g**4\/12 - 4*g**2 + 285. Find the third derivative of f(h) wrt h.\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from pxpxpxpxxxpxppxpxpxp.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -192. Let a = -77 + l. Let s(n) = 8 + a*n - 12 + n**2 - 4*n. Determine s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*n = -22, 2 - 1 = -3*i + 2*n. Let o(c) = -2*c**2 - 15*c - 2. Let j be o(-7). Solve 9 = i*h, 0*h + 21 = 2*l + j*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 237688240*x - 389165753 wrt x.\nAnswer: 237688240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**3 - l**2 + 3. Suppose 2*v - 5 = -5*a - 15, -5*a + 2*v + 10 = 0. Suppose a = -13*x + 12*x + 3. List the prime factors of g(x).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -154871 and 1.5439?\nAnswer: 154872.5439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350\/300*(-1)\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - i = -6 - 17, -a - 5*i + 11 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.073 + -0.373. What is the second smallest value in -3, -4\/5, -0.4, k?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17b6a - 4?\nAnswer: -17b6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4 - (-3 + (-1 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/3148038 and -19\/341737014.\nAnswer: 3075633126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssosooqqssojs. Give prob of picking 1 q and 2 o.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64579 - -64576. Let o = 0.05 + 1.95. Which is the third smallest value? (a) o (b) k (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 419*v**6\/30 + 5*v**4\/4 - 29*v**2\/2 + 756*v. Find the third derivative of k(h) wrt h.\nAnswer: 10056*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, z: 1, a: 3, x: 6}. Give prob of sequence gg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 + 5*s + 2. Let z be n(5). Let m be 1 + (-1)\/2*z. Solve -7*y + 3*y = m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 177524621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -d - 482, 0 = 7814*r - 7810*r + 388 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*k*r*w - k*r + 3*k*w - 32*r*w + 4*r with respect to k.\nAnswer: 11*r*w - r + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*-1 + -6*(sqrt(11)*1)**2.\nAnswer: -66 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2))\/(l\/(l\/l**(-3\/2)))*(l**(-1))**(-26\/5))\/((l\/l**(-3)*l*l**(4\/3))\/(l*l*(l*l\/(l*l**(-4\/7)*l)*l)\/l*l**(-2))) assuming l is positive.\nAnswer: l**(827\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16557 = -3*g + 2*t, -7*g - t = -6*t - 38634. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 905 and 35838?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -14105*l. Let s(o) = -78*o**2 + 7*o. Determine s(k(r)).\nAnswer: -15518179950*r**2 - 98735*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 745.3233mm in kilometers?\nAnswer: 0.0007453233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1613627 = 1613659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339401711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87504?\nAnswer: 2, 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**5 - 369*q**4 + 13914*q**3 - 105864*q**2 - 1986336*q - 4599936 = 0.\nAnswer: -6, -3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15851 divided by -1441\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1734171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {x: 3, g: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(55) - -1*-1*sqrt(55) - sqrt(55)) + 2*(sqrt(220)\/sqrt(4) - sqrt(55)))\/(-6*1*sqrt(275)))**2.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 4 (c) 947 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q**2 + 26246*q - 26247. What is w(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(112) + -1 + sqrt(112)) - sqrt(112))**2 + ((-5 + 1*sqrt(112))**2 - sqrt(112)) - (-2*sqrt(112)*5 - sqrt(112))**2*-3.\nAnswer: -52*sqrt(7) + 40906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/1)\/(12*(-12)\/101232). What is the highest common divisor of 37 and q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011373 (base 10) to base 4.\nAnswer: -3312322231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -468827 (base 9) to base 14\nAnswer: -74b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + 58 - 121 + 13*d**2 - 69*d**2.\nAnswer: -56*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(2\/3))\/((-12147)\/(-137666))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 908504, 908512, 908534, 908576, 908644, 908744, 908882?\n\"Answer: r**3 + r**2 - 2*r + 908504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 s when three letters picked without replacement from {c: 1, s: 6, n: 11}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 + -1 - -3) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 2*r**3 + 2*r**3 - 99*r - 98*r - r**3 + 89*r + 2*r**4 + 3*r**4 - 5*r**4 + 4*r**4 + (0*r**2 - 2*r**2 + 3*r**2)*(-2*r**2 + 0*r**2 + 4*r**2).\nAnswer: 8*r**4 - r**3 - 108*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1626625.\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4307 + -4309. Let j be ((-12)\/126)\/(2\/6). Which is the nearest to j? (a) 5 (b) 2 (c) f (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-4) - 10\/(-40). Let g be (r - -4 - 3)\/1. What is the third biggest value in -3, 1\/7, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiijkriijikr?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.7 + 1.7. Let k(h) = 2*h - 9. Let o = -17 + 22. Let y be k(o). Which is the third biggest value? (a) s (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 2, -4 in descending order.\nAnswer: 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3 + 14*u**2 + 112*u + 160 = 0. What is u?\nAnswer: -4, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/4, 1.6, -4 in descending order.\nAnswer: 19\/4, 1.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 430837 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 434 - 10847\/25. Suppose 3*o = 9*o + 6. Which is smaller: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1108413.917 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, 3\/7, -3300, 0.3, 3 in descending order.\nAnswer: 3, 0.5, 3\/7, 0.3, -1, -3300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9*o**2 - 382\/9*o + 32\/3.\nAnswer: -2*(o + 48)*(4*o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -722594 divided by -361297\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 15 = -n, -2*r + 20 = 2*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = 5*x + 310, -7*x + 4*x = -2*x - 2*x + 5*m - 54 for x.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 16. Suppose s = 5*x + 2*l - 22999992, 4*x - 12730458 - 5669554 = 3*l. What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -5157073.\nAnswer: -10\/5157073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -9 - 15. Solve 2*c = -u - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5373689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**6\/15 - 8*b**5\/25 - b**4\/2 - 4*b**3\/15 + 18. Let w(o) = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 11 = 10*r. Suppose -2*q = r*l, 3*q - 6*l = -2*l + 10. Calculate the lowest common multiple of q and 191.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + q + 3*q)*(-3*q**4 + 3*q**4 - 3*q**4) - 2*q**5 - 3*q**2 + 3*q**2 + 2570*q**2 + 10*q**5 - 2570*q**2.\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2 + 6*d - 8 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 30 = -5*m + 18*v, 0 = 3*v. What is the second biggest value in -4, -3\/8, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2386148*g. Let d(s) = 2*s. What is u(d(i))?\nAnswer: 4772296*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**2 - l - 70. Calculate f(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.975064 and 139.73.\nAnswer: 141.705064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/((-3906)\/(-13020))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/282142 and -55\/6.\nAnswer: 846426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10\/7 (b) -0.3 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 7:15 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/7*(-10)\/(-12). Let g be (-2 - 0)\/(-2) + -1. Solve -f + g*c = l*c, -2*c - 2 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5203000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 2. Let z be 1 + 1347\/12 - -2. Let u = 116 - z. What is the nearest to 0.1 in n, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554140 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15036 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3\/7 + 124*x**2\/7 - 386*x\/7 + 260\/7 = 0.\nAnswer: -65, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, -3\/2, -8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 + 12*x + 5. Let u be k(-6). Suppose 0 = 2*t + c - 9 - 52, -u*t + 5*c = -175. Suppose -t - 27 = -d. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 - 12.33. Let h = i - -11.6. What is the third smallest value in -1\/3, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 105*y - 43717. Calculate x(-163).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, and 2 e when four letters picked without replacement from heoewwhwhwewe.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k**2 + 3*k**2 - 59*k**2 + (-3*k - k + 5*k)*(0*k + 0*k + 3*k) in the form l + g*k + p*k**2 and give p.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298152, -297812, -297254, -296484, -295508?\nAnswer: -294332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/11 + 2704*a\/11 + 913952\/11 = 0. Calculate a.\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 + -4105.786?\nAnswer: -3977.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130206 is divided by 209.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 + (15 - -1) - (-18 - -2)) + 44.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k - k**2 + 2*k + 13*k + 3*k.\nAnswer: -k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 37*x - 631. Let a(l) = -5*l - 1. What is the least common multiple of d(-11) and a(-3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*f - 1120 + 336, -12 = -4*u. Let r = f + -109. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**4 - 5*i**4 - 2*i**2 - 2*i - i**4 - 2*i**3 to the form o*i**4 + r + w*i**2 + s*i + t*i**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*f**2 - 21*f - 3\/4.\nAnswer: -3*(14*f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 954032 - 151670 = -4*c, c = 4*q - 884591. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -345 + 6*j**3 - 23*j**3 + 343 + 4*j**2 + j. Calculate the least common multiple of 970 and i(-1).\nAnswer: 8730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -116\/2217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -615, -888, -1145, -1380, -1587?\nAnswer: -1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Suppose 0 = -5*q + 4*d - 2*d + 105, -i*q - 5*d = -51. Suppose 0*h = 2*h - 76. What is the greatest common divisor of q and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 777802.544877?\nAnswer: -777803.544877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -205284?\nAnswer: -205295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 divided by 10?\nAnswer: 266\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109.0356 + -109. What is q rounded to three decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6086*n + 2*n**3 + 6094*n - 2*n**3 - 5*n**3 - 12182*n.\nAnswer: -5*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(891))**2.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1518992 by -379748.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -11\/3*h**3 + 2*h + 0 + 7\/2*h**2. Is j(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 3 + -4 + -2 - -4*(-1 + sqrt(1377)*2 + sqrt(1377)))**2*4.\nAnswer: -6552*sqrt(17) + 931048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -s + 6, 2*s - 4*a - 2 + 4 = 0. Suppose 0 = p + 2*i + 8, 0*i - 20 = 4*p + 5*i. What is the nearest to p in -5, s, 3\/7, 6\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4499, -4471, -4447, -4427, -4411, -4399, -4391?\nAnswer: -4387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5 - 692*d**4 - 120406*d**3 - 238740*d**2 - 119025*d.\nAnswer: -d*(d + 1)**2*(d + 345)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -312342 (base 6) in base 3?\nAnswer: -1021112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 6:30 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f - 10 = -25*f. Let n be 7 - ((-8)\/36 - 280\/(-45)). Sort 5, -4, n, f in descending order.\nAnswer: 5, n, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 = -2*p - 323 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n + 28. Let s be g(-4). Let o be (1\/(-5))\/((-4)\/5). Factor s - 1\/4*q**2 + o*q.\nAnswer: -q*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -16*p**3 - 2*p**2 + 1. Let b(q) = 2*q**3 + q**2 - 4. Let a be b(0). Is h(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 (base 11) in base 5?\nAnswer: 11104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/747504 and -7\/266800.\nAnswer: 429814800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3 and 15\/271.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + 0 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17*v + 155. What is the smallest common multiple of a(7) and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -13. Suppose 0 = -8*x + 6*x + 120. Suppose -45 = -5*g + x. What is the remainder when g is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Suppose 0 = -4*l + p - 0. Calculate the lowest common multiple of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3029726 to two decimal places.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*h - 63*y + 58*y, h + 63*y + 125 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 856 and 8?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b0 (base 14) to base 15.\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 - 20*n**2 + 38*n**2 + 31*n**3 - 17*n**3 - 18*n**2.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((sqrt(170) + 4*(-2*sqrt(170) + sqrt(170)) + sqrt(170) + sqrt(170))\/(2*sqrt(1210)))**2) + -2.\nAnswer: 259\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356186 is divided by 89046.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-3))\/((126\/(-6))\/7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-4))\/u*u)\/(u*u**1\/u)*u*(u**(-2)\/u*u)\/u*u*u**(-4)*u*u*((u*u\/(u**(1\/2)*u))**16)**(-16) assuming u is positive.\nAnswer: u**(-127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 5:31 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6aa (base 15) in base 7?\nAnswer: 4255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2. Let a(f) = 1. Suppose -h - 26 = -5*y, -2*y - 5*h = -4*y + 15. Let l(v) = 3 - 2 + 5 - y + 2*v. Let r(c) = a(c) - l(c). Determine r(i(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 4*s + 19, -5*s + 2 = -2*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-55)\/80)\/11 - (-1554)\/3360. What is the second smallest value in -1, -109.6, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -15, -16, -19, -24, -31?\n\"Answer: -l**2 + 4*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -321460*n*v - 2*n - 30028 wrt v.\nAnswer: -321460*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173 by 36.\nAnswer: -173\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 8*q + 7. Let w be v(7). Let x = 1 + -0.6. Let m = 0.6 + x. Which is the second biggest value? (a) 2 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98873394 or 98873393?\nAnswer: 98873393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -438.9 - -439. Put d, 180\/17, -4 in increasing order.\nAnswer: -4, d, 180\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 12. Solve -4*j - 8 = -z*h, 0 = 2*h - h - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, -294, 1, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 4. Let x be q(-2). Suppose w + x = -0*w. Let k(j) = 1. Let z(b) = b**3 + 2*b - 4. Determine w*k(d) - z(d).\nAnswer: -d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22116972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(70\/4) - (-424)\/14. Is 30 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -996.9 - -997. Let s = -7 + 0. Which is the second smallest value? (a) g (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxg when three letters picked without replacement from {o: 8, g: 2, x: 4, k: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 467?\nAnswer: 33\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 25*b - 2. What is a(2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-93)\/156*-12 + 2\/(-13). Let y(t) = 163*t + 17. Let z be y(j). Suppose 7424 = 14*x - z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 at least as big as 313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 54575363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -71440810*p**2 - 240921740.\nAnswer: -142881620*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (28 + -14) - (-12 + 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(((-469)\/(-3))\/(-7)). Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 293 - 290. Calculate the remainder when -80*o*(-14)\/105 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 10. Let p be q(12). Let c = 19 + p. What is the remainder when 65 is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let f(y) = -42*y**2 + 420*y + 2. Let v be f(10). What is the fourth biggest value in v, 5, -3\/2, l?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -249.1 and -3.\nAnswer: 747.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/5 (b) -16148 (c) 4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 99664 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-6 - -1) + -2966 + 2979 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131902.\nAnswer: 2, 65951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 303011223 (base 4) in base 8?\nAnswer: 630553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (32\/(-40))\/(2\/(-525)) and 12?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13167, -13053, -12859, -12579, -12207, -11737?\n\"Answer: h**3 + 34*h**2 + 5*h - 13207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 380143, 760291, 1140437, 1520581, 1900723?\n\"Answer: -p**2 + 380151*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8140871 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -304\/497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 - 6*u - 2. Determine d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4583*o - 3237*o - 1456*o + 788*o - 2479*o in the form c + i*o and give i.\nAnswer: -10967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6)*(0 + 93). Let j = a + 36. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/3, 20941, -0.033?\nAnswer: 20941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/5, -1\/8, 1\/31, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - 297\/(-12)*64\/6.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**3 + 25*p**2 - 81*p + 12. What is b(6)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.138 (b) -67 (c) -4 (d) -1\/2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 59. Suppose -6*w + 25*w = a. What is the greatest common divisor of 16 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 415 or 17004\/41?\nAnswer: 17004\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -148, -420, -842, -1414?\n\"Answer: -75*o**2 - 47*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 14014 - 6534 - 6940.\nAnswer: -2*t + 540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1113 and -4?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18962*z + 208 = 18978*z + 64 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6515818 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 83140.59km?\nAnswer: 8314059000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32244 + -3331?\nAnswer: -41130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-365)\/146*(-42)\/(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 257, 284, 295, 284, 245?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2851, 2850, 2849?\nAnswer: 2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*u*y**3 + 1900*u + 2*y**4 - 69*y with respect to y.\nAnswer: -12*u*y**2 + 8*y**3 - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 745 - 1475\/2. Is 0 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = w - 5*c - 3, 2*w - 36 = -4*c. Let f(m) = 3*m + 29. Let y(z) = -6*z - 53. Let n(j) = 5*f(j) + 3*y(j). Determine n(w).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0285699215 rounded to 6 decimal places?\nAnswer: -0.02857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1450 and -131\/8700?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66636 is divided by 1768.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104910 and 1170?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q**2 + q + 3. Let f be u(0). Suppose 0 = 6*y - 15 + f. Is 17\/13 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*s - 786*s + 1559*s = 176 + 774 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 62744611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 1 + 1156*i - 1352*i - 11 + 23 - i**2.\nAnswer: -i**2 - 196*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 h when three letters picked without replacement from aahkahhaaahahak.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2003 divide 73858852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 12 + 3 = j, 60 = 4*j - 2*l. Let o = j - 9. Calculate the highest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**2\/2 + 13*j + 18. What is the remainder when 29 is divided by h(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2209 or 1790?\nAnswer: 2209","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -0.3, 5, -35, 4\/209, -2\/5, -55?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let y be o(-5). Suppose -y*q + 82 + 28 = 0. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**4\/18 + 14*x**3\/9 + 13*x**2\/3 + 38*x\/9 + 119. Factor k(f).\nAnswer: 2*(f + 1)**2*(f + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Suppose -5*b - z*k + k + 137 = 0, 2*k = 5*b - 146. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 2*u**2 - 2*u. Let j be l(3). Suppose -f = 2*i + 48, -4*f - 5*i - 5 = 181. Let m = j - f. Solve k + 3 = -m*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(391\/23))\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2 - 366668*h + 2566725 = 0?\nAnswer: -366675, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:33 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose -d - 2*x + u = -9, -4*x - 41 = -5*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 15, d: 5}. Give prob of sequence pp.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4856915 to the power of 1\/2, to the nearest integer?\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - 5*g - 3. Determine d(5).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1218)\/(-105))\/((4\/5)\/((-24)\/(-12)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 1*(2 - 0). Suppose 2*s - s = t. Suppose 3*w + 23 = -5*a, s*w - 4*w = 3*a + 16. Sort 3, a, -2 in descending order.\nAnswer: 3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 138 - 87 = 0. What is the units digit of p\/(-45) + (-1)\/(3\/(-1222))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 6. Let i be 5\/(-10) + (-34)\/g. Suppose 0 = -4*c + i*c - 20. Solve 0 = 5*k, 3 - 11 = 4*n + c*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*z - 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)*a)\/(a*a**(-5)))**(4\/5) assuming a is positive.\nAnswer: a**(172\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-458 - -214 - -229) + (1 - 3 - (-21 - 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 7*x**2 + 4*x + 4. Determine v(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 74 = 2*m, -89 = 3*m + 2*m - 69 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 7902510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.6 at least 10450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**4 - 63742*k**2 - 3826*k + 5 wrt k?\nAnswer: 24*k**2 - 127484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from gkivc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + 48*k**2 - 54*k - 33. What is v(-17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -1\/941?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4*-63091\nAnswer: -252364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 921*s - 185027. Determine w(296).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74712366.\nAnswer: 2, 3, 677, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 77. Let q = x + 39. Sort 5, q, 3 in decreasing order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from waaxaaxxxaaxax.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2434 < -1\/1050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 1 + 19*w**3 + 1 - 17*w**3 in the form j*w**3 + d*w**2 + g*w + k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -422 - -426. Solve s = -4*m - 0*m + 13, -t*s = -20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/6)\/c**(2\/5))\/(c**1\/(c**(2\/9)*c*c)) assuming c is positive.\nAnswer: c**(149\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-277)\/9141)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 589 + -311. List the prime factors of c.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47056 divided by 2941.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qee when three letters picked without replacement from eeeqeeee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1224 - 2211 - 3226 + 475 + 201)*(2*t**4 - 4*t**4 + 3*t**4).\nAnswer: -5985*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n + 2*g - 20, 0 = 5*n - 2*g - 44. Suppose 5*s - s = -n, 3*f + 6 = -3*s. Let u(c) = -c**2 + c + 5. What is the units digit of u(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3))**(-1)*(j**(2\/3)*j*j)\/j*j*j*j*j\/j**6)\/((j\/(j**(2\/9)*j))\/j*j**6\/j*(j*j\/(j\/(j*j**(-1)))*j)\/(j*j**(1\/8))) assuming j is positive.\nAnswer: j**(-335\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 + 8 = -3*g, g = -2. Suppose -5*i + 2*v = -82, i + 4*v = 5*i - 56. Suppose 8*f + 24 = w + 3*f, 2*w = -j*f + i. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 80\/(-3 + 7)*-8. Let y = j - -231. What are the prime factors of y?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by -12\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.00056984 - -176.\nAnswer: 171.99943016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28302852 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a + 70. Let c(i) = 6*i - 26. Let b be c(2). Let m be v(b). Let y(f) = -f**3 - f**2 - f + 37. Give y(m).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 73\/4 of a millimeter?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107516626 divided by 1.\nAnswer: 107516626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 - 31*a)*(9*a + 3*a**3 - 5*a**3 + 3*a) + 0*a**3 + 0*a**3 - 2*a**4 in the form n*a**4 + l*a + f + s*a**3 + r*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -84*i - 27. What are the prime factors of s(-5)?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 0*v + 0 + 9*v**2 - 1\/60*v**5 - 5\/3*v**3 + 3\/8*v**4. Calculate h(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 v, and 1 o when three letters picked without replacement from {o: 3, v: 1, t: 2, z: 1, w: 1, g: 5}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-24)\/h))\/h*h**4*h*h**(-10)*(h*h**(4\/13))\/h)**44 assuming h is positive.\nAnswer: h**(11616\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/72)\/(1\/(-9)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 + 82*u**2\/3 - 28*u.\nAnswer: 2*u*(u - 1)*(u + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -262 + 265. Suppose 4*k - 20 = -0, -5*q = 4*k - 55. Solve q + 8 = -t*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2953, 3079, 3205?\n\"Answer: 126*y + 2827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + 152*g**2 - 927*g + 4681. Calculate s(-82).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4675291 rounded to two decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 138*g - 19 + 14 as j + s*g and give s.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 1141 = 7*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + -2 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38937849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 870 + -563. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45171 - -3.\nAnswer: -45168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3701 at least as big as -18506\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4066932208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 26*p + 99. Give r(0).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3131\/40 + -88951\/1140. What is the common denominator of z and -17\/168?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13780336 and 342.\nAnswer: 2356437456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1100)\/(-350)*(-35)\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6937, 3, -2 in decreasing order.\nAnswer: 3, -2, -6937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/20*4)\/(2\/170*18\/(-6))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*k - 798 + 510 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*o + 18 + 30*o - 13 + o**3 as h*o**2 + q*o**3 + z*o + i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2 - 225\/(-18). Suppose 29 = 4*h - p - 4, -a = -4*p. Let l be (5*(-3)\/5)\/(6\/(-8)). Solve 3 = l*v - h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 82 = -42. Find the third derivative of -3*r**4 + 33*r**2 + l*r**4 - 169*r**3 + 169*r**3 wrt r.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-14))\/((-710)\/497).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 5*i**2. Suppose -h = 2*a - 4, 3*a - 5 - 1 = 3*h. Suppose r = -6 + a. Calculate the lowest common multiple of j(r) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*y = -13, -2*w - 79 = 4*y - 31 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - 2616\/(-9 + 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 102 = 2*z, -s + 56 = s + 2*z. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29021.\nAnswer: 29021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4235839834 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 768\/(-8 - (-140)\/16). Let o = -348 + g. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 8*r - 4. Let c be y(9). Suppose -3*u = 2*w - 64, -3*w + 90 = 4*u - c*w. What is the smallest common multiple of u and 1 + -2 - 1 - -18?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, 0.09, -2\/5, 2\/28793, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5\/4 - 6065*q**4\/4 - 29275*q**3\/4 + 28771665*q**2\/4 - 364682565*q\/2 = 0. What is q?\nAnswer: -79, 0, 39, 1214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 7:46 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = y - 7, -660*y + 657*y = -3*s - 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*d - 3 = 5, 3*d = 4*b - 6. Let w = -2.78794 - -2.95794. Which is greater: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/9 (b) 10 (c) 1150361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17072 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8*y + 180 = 0. Let p = y - -24. Let w(u) = u**3 + 16*u**2 + 11*u + 6. Let c be w(-15). Calculate the greatest common divisor of c and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j - 10. Let x be (0 + j)*119302 - 0. Let b = -672792 + x. What is b rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 44*n - 8 + 194*n + 83*n as b + h*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*1*(-8)\/(-6). Suppose -c - j = -5*c. Solve 3 = 2*n - c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47\/152 - 5\/76. Let l = -0.0107 - -1.0107. What is the smallest value in l, 1\/8, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -6*h**6\/7 + 332*h**5\/35 - 81*h**4\/7 - 268*h**3\/21 + 180*h**2\/7 - 64*h\/7 + 195. Solve d(p) = 0 for p.\nAnswer: -1, 2\/9, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 3, l: 4, z: 2}. Give prob of sequence sh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 25 = -10. Let v = -115 + 1151\/10. Suppose -5 = b - 4. What is the nearest to -0.1 in b, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0541746 * -33.\nAnswer: 1.7877618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.299617 years in centuries?\nAnswer: 0.01299617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 302936?\nAnswer: -1\/151468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*5\/50*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + k - 86. Let p be t(-10). Solve 4*x - 5 = -p*i + 3, 4*i - x - 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27.2 in -1, -7\/4, -2\/15?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 12*s**2 - 12*s + 15. Let z be x(11). Let a(m) = 35*m + 38. What is the tens digit of a(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-132*r**2 + 219*r**2 + 71*r**2)*(1 + 2*r - 1) + 2*r**3 + 1 - 1)*(-4*r + r**2 + 4*r).\nAnswer: 318*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/1)\/4 - 2. Let q = -42 - -29. Let n = 8 + q. What is the second biggest value in v, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 3*q**2 - 2*q + 2. Let g be s(2). Let w be (-6)\/4*2*g. Let a(u) = -u**3 - 5*u**2 + 6*u - 7. Calculate a(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/462 and -113\/8118306.\nAnswer: 89301366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 2*n + 23, 43 = -7*d + 5029*n - 5027*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15892 - -15896.0567. Round i to 1 decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - ((sqrt(119) - 2*sqrt(119) - sqrt(119))\/sqrt(7) - sqrt(17))) + 5 + -3)*-6.\nAnswer: -24*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6*c + 188*a**4*c**2 - 2*a**2*c**2 - 14*a**2*c + c wrt a?\nAnswer: -120*a**3*c + 4512*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -647621 (base 8) in base 14?\nAnswer: -59105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, 1 b, and 1 i when four letters picked without replacement from ibikbbibbubbwbni?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 1)*((4*r - 6*r + 0*r)*(-4 + 2 + 4) - r - 1 - 4 + 3).\nAnswer: -20*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85941925.\nAnswer: 5, 461, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/(-2*sqrt(12)))\/sqrt(5)*2)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebb when three letters picked without replacement from ekeeehhbkbklkv.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2626 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980828.\nAnswer: 2, 3, 18341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2120 - -1123?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/3 + -52 + 1 + 1. Let p = -36 - k. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2) + 13 + -30 + 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.9 * -162.114.\nAnswer: -2415.4986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*o + 3*o - 20, 3*w - 4*o - 11 = 0. Let l be (-1)\/(-1)*w\/(-15). Let g = 3.881 - -0.019. Is l equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 11*o**2 - 18*o - 205. Determine u(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 - 103*d - 240. Let k be f(23). Solve 8 = p - t, 34*p = k*p + 2*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8\/521, -2 in descending order.\nAnswer: 5, 8\/521, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106497 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjb. What is prob of sequence bb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 923391587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-574)\/(-164))\/((-3)\/2).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, -144, 4, -1, -15, -2 in decreasing order.\nAnswer: 4, -1, -2, -4, -15, -19, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25426 in -5, -2\/51, -4, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - w + 2842, -948 = -u - 23*w + 22*w. Is u a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 275755.2214 to the nearest 10.\nAnswer: 275760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 5. Suppose -5*o + 4 + 16 = -2*g, n = 4*o + 3*g. Suppose -317*a = -256*a - 183. Solve 6*u = -a*y + u - o, -u = -2*y - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**2 - 8*r - 7. Let y(t) = -t**2 + t + 1. Let q(h) = -c(h) - 4*y(h). Suppose -4*w - 19 + 7 = 0. Is q(w) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 435 - 2173\/5. What is the nearest to x in 5\/2, 3\/8, -1\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -37*z - 102. Let u be f(-6). Suppose -16*i + 1052 = 668. What is the greatest common divisor of u and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.597374 * 0.1\nAnswer: 0.0597374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -1) + (82 - (-18 - -4)) + 13 - 1?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501 = 4*z - 3*v, 0 = 3*z - 108*v + 109*v - 366. Solve 121*r - z*r + 10 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 85. Let l(g) = -5*g. Give l(a(m)).\nAnswer: 10*m + 425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3490 = 8*m + 2*y, -5*m = 3*y - 3490. What are the prime factors of m?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + 10e?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x = 19*x + 30. Is (-4)\/28*x + (-137945)\/(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -0.3523.\nAnswer: -5.2845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - 0.26. Let l(p) = -p**3 + 4*p**2 - 3*p. Let j be l(2). Let t be (13\/10 + -1)*j. What is the second smallest value in g, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 694*h**3 + 65*h - 606*h + 540*h + h**4 + h**2 to the form d*h + q*h**2 + l*h**3 + b + c*h**4 and give l.\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 4*f - 4*f + (-4 - 1 + 3)*(-3*f + 2*f + 2*f) + f - f - f + 19*f - 2*f + 5*f)*(1 - 3 - 2) to the form b + h*f and give h.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84188 is divided by 83753.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from {b: 2, w: 1, x: 2, n: 4, k: 10}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55613 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 140229 at least 140228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 4*g - 2*g + 9. Let a be ((-5)\/(15\/(-12)))\/(-1). Let d be m(a). Calculate the highest common divisor of d and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*l**4 + 0 - 2\/9*l**3 + 0*l + 4\/9*l**2 = 0. Calculate l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-19)\/3 - (-29)\/87) + 404. Let d = -398 + v. Find s, given that d + s**2 - 4\/3*s + 1\/3*s**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (4\/(-6))\/((-2)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*y + 5551 = 0. Let m = y - 90. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.17 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9138 and 63966.\nAnswer: 63966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26792317?\nAnswer: 29, 83, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 + o - 1. Let q(s) = 7*s**3 + 9*s**2 - 10*s + 9. Suppose 326*v = 331*v - 115. Let h = v - 25. Determine h*q(w) - 18*y(w).\nAnswer: 4*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2. Let i = -17 - -19. Let f be (7\/(-2) - -2)*-2. Let r(d) = 0*d**2 + d - d - f*d**i. What is r(u(z))?\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 1 (b) 0.2 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39306*r + 181811.\nAnswer: 39306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*a + 1791 = -26*a + 416. Solve 73*w = k + 76*w - 5, 4*k - 3*w = -a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(-4 - 4 + 6) + 3 - 3 - c + (2 - 2 - 4*c)*(-10 + 1 + 4).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 3*h + 9. Let b(l) = -2*l**2 - 6*l - 17. What is 3*b(r) + 5*d(r)?\nAnswer: -r**2 - 3*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*o**2 + o**3 - o + 74*o**2 + 2*o wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -5*x**4\/12 + 2*x**3\/3 + 2*x**2 + 48*x. Let i(w) = 9*w**2 - 7*w - 7. Determine -3*i(k) - 5*r(k).\nAnswer: -2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 6:59 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + s**2 + 13*s - 13*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*s + 17 = 0, 0 = -4*k + 2*s - 3 - 3. Which is smaller: 9\/77 or k?\nAnswer: 9\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qii when three letters picked without replacement from iqqqqqiqiciiiqqiqqq?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 476670\/9 + 400\/600?\nAnswer: 3, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**3 - 50*y**2 + 1755*y + 1800 = 0.\nAnswer: -24, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/35))\/(f*f**(-4\/11)*f) assuming f is positive.\nAnswer: f**(-267\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97.715 + 98.27. Put 4, -0.1, -0.5, m in ascending order.\nAnswer: -0.5, -0.1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168391 divided by -1?\nAnswer: 168391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17743 - -17321. Which is greater: -35 or o?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 18. Suppose -a*j + 20 = -9*j. What is the highest common factor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 14*f - 31. Let h be p(-10). Suppose -4*b = -17 + h. What is the closest to b in 2\/11, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/(-7) + 2 - (-119)\/49. Suppose -4*j + 4 = 4*u, -2*u + 2 = -3*u. Let r = -1 + j. Solve 0*g - 6 = r*o - g, -b*g + 3 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (8 - 5) - (-232 + 245).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h - h)*(0*h + 0*h + 2*h - 8).\nAnswer: 2*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 177787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*(-2)\/(-12))\/1. Let o = 17 - 17.2. Sort -3, r, o in decreasing order.\nAnswer: r, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5642?\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3326364 millennia to decades.\nAnswer: 33.26364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijfijvjjj. What is prob of sequence ij?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3 (c) -218 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -27*m**3 - 7*m**2 + 10*m + 13. Let p(w) = 9*w**3 + 2*w**2 - 3*w - 4. Calculate 2*h(z) + 7*p(z).\nAnswer: 9*z**3 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/864 and -77\/737685360.\nAnswer: 1475370720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -23*m**2 - 5*m**3 - 83*m - 21 + 20 - 18*m**2 + 4*m**3 - 75. Let t be a(-39). What is the highest common divisor of t and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 183690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37279.\nAnswer: 11, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.14 - 0.19. Let q = -0.05 - z. Let a = q + 5.9996. What is a rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**5 - 161*h**3*p + 6*h**2*p - 32899*h*p - 2*p wrt h.\nAnswer: 80*h**3 - 966*h*p + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i = -49*i + 350 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpii when four letters picked without replacement from eripvri?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13005.52659us?\nAnswer: 0.000000021503846875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -79*f + 3. Suppose 3*l = 2*l - 5, -22 = 4*o + 2*l. Let d be k(o). Round d to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - l = 75 + 40, -2*l - 80 = -3*h. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9.2. Let o = q + 0.8. Which is the third biggest value? (a) -1 (b) o (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101440069.64000063 + -101440069. Let v = w + -0.64. What is v rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21372 + 21438. What is the highest common factor of 3333 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 709651056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) -0.1 (c) -1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*l**3 - 14*l**3 + l + 6*l**3 + 2*l**2 to the form z*l**2 + d*l**3 + v*l + y and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41, 54, 79, 122, 189?\n\"Answer: c**3 + 6*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4506371 * 0.106\nAnswer: -477675.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*j + a = 385*j + 22, -7*j + 8*j + 12 = 4*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s + 40. Is l(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8899\/9 + -989. What is the closest to 0.04 in 0, d, -3, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20664937368 plus 0.2?\nAnswer: -20664937367.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*d - 4*u + 6, 0 = d + 3*u - 10. Let k = d + 1. Suppose t - 94 = -2*r - 10, k*r + 5*t - 100 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189199*s**3*w**3 - 5824*s**3*w**2 + 6*s**2*w + 6*w**2 - 2 wrt w?\nAnswer: 1135194*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scqx when four letters picked without replacement from {x: 5, c: 1, s: 2, q: 1}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5260 less than -197473.96672?\nAnswer: -192213.96672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 21007.2704?\nAnswer: 21009.2704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezalsdzaeeddlse. Give prob of sequence ddze.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1942 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 135*c + 33. Let o(v) = -17*v - 4. Let m be 22\/(23\/(690\/(-20))). Calculate m*o(s) - 4*q(s).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.00162 and -46?\nAnswer: 0.07452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -166?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.166 + -1.044. What is h rounded to one decimal place?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 + 1251\/(-973)*91?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21130 and 182.\nAnswer: 1922830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/339 + 11072\/339. Let s = -33 + n. Which is the third biggest value? (a) -1\/4 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470783.9 meters to micrometers.\nAnswer: 470783900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 15, u: 5}. What is prob of sequence hhu?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7539495749?\nAnswer: 23, 327804163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*t = 117*t + 30. Put -1, t, 5, 3 in descending order.\nAnswer: 5, 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 500296 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 357, 1229, -7, 4, -2, 2 in decreasing order.\nAnswer: 1229, 357, 5, 4, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -63. Let c(t) = 2*t**2 + 12*t + 12. List the prime factors of c(x).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-99))\/(1*(-2)\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38532693 divided by -13\nAnswer: -38532693\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 7) in base 16?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - 0)*1\/(-1). Let x = z - 3. Let h be (-12)\/(-1)*(-24)\/(-16). What is the greatest common divisor of x and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 3*j**2 - 5*j**2 + (j - j - 3*j)*(-2 + j + 2) - 6*j**2 + 4*j**2 + 4*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*r**3 - 43*r**3 - 42*r**3 + 11*r - 48*r**3 to m*r**2 + f + g*r + a*r**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = y - 25. Suppose -3*w = 5*w - y. Suppose -8*u + 42 = -w*u. What is the smallest common multiple of u and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 24 = -3*p - 91, 4*q + 62 = -2*p. Let z = -31 - p. What is the lowest common multiple of (-2 - -3) + -4 + 5 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15)\/(-6))\/(2\/196).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:21 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25896530*m**3 + 5918874*m wrt m?\nAnswer: 155379180*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 5*n**2 + 7*n + 5. Let b be w(-6). Let x = b + 217\/3. Let s be (-64)\/(-440) - (0 + (-10)\/25). What is the second smallest value in 2\/19, s, x?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -58, -130, -232, -364, -526, -718?\n\"Answer: -15*f**2 + 3*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727058759?\nAnswer: 3, 575686253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-1)\/((-4)\/(-2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {v: 5, e: 7, f: 3, j: 4}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -6) + 0 - (87 + -83)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and -11.\nAnswer: 1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddndnnnnnddd. Give prob of picking 1 n and 2 d.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*y + 54*y - 40*y)*(3*y + 2*y - 3*y)*(-5 + 1 + 3)*(0 + 0 + 1 + (-1 + 2 - 3)*(1 + 3 - 5))*(2 + 2 - 3).\nAnswer: -324*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 3*d**2 - 4*d - 3. Suppose 40*i + 9 = 37*i. Let t(u) = -u**2 + u + 1. What is i*t(q) - c(q)?\nAnswer: 2*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**(-7\/5)\/(d*d**6*d**0) assuming d is positive.\nAnswer: d**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d + 5. Let s be b(0). Suppose -5*q - u - 3*u - 4 = 0, 5 = -q - s*u. Find the common denominator of -2 + q + 111\/(-15) and -99\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20775083 is divided by 65.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201022122 - -20120?\nAnswer: 10201120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*m - 358, -87 = -m + 7*v - 4*v. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6\/11 (b) 1\/2 (c) -0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0096236744 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.9 - 5. Let r = 132.8 + -133. Which is the closest to s? (a) r (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18948 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151.3452 + -1.3452. Which is the fourth smallest value? (a) 0.3 (b) l (c) 0.4 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 - 102. Suppose 3*v - 15 = -45. Which is the closest to 2? (a) v (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 96. Is m*(-3 - 27\/(-2)) - 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + sqrt(1573)*2 + 3 - ((-1 + sqrt(1573))*5 + sqrt(1573))) + -2 + sqrt(1573) + -2 + sqrt(1573) + 1)**2.\nAnswer: -110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89069463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 11:06 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*a - 127. Calculate the highest common divisor of 125 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -7, -11?\n\"Answer: -4*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, 4, 0 in decreasing order.\nAnswer: 16, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uccuucuucccuccuuucu. Give prob of picking 1 u and 2 c.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)\/2*-1. Let h = 4 + v. Suppose h*n - 36 = -3*q, 3*q - 3*n + 14 = 4*q. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114)*2 - sqrt(114))*6 + sqrt(114))\/(1*sqrt(294)) + 1.\nAnswer: 1 + 13*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1200335, -2400654, -3600973?\n\"Answer: -1200319*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + -16 + -65 + 69.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 780 = -0*z. Suppose z = v + 4*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -24*i. Let w = 37 + -32. Let a be (-4)\/((-3 - -4) + w - 4). Let k(q) = q**2 + 7*q. Let p(h) = -2*h. Let z(j) = a*k(j) - 7*p(j). Calculate y(z(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/3*(-6)\/(-4). Let s = 387 + -254. Calculate the highest common divisor of s and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*l + 19 = 0, -w - 7 = -3*w + 3*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 17, -4, -53, -136?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*g = -213 + 208, 0 = -3*p - 4*g + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1331 and 242?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 - 26*f - 171. Calculate a(-12).\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 21 = -4*o. Let l be (-663)\/(-119) + o\/(-7). What is the units digit of l\/10 + (-4)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/2)\/h*h\/(h**(3\/4)\/h)*h*h*(h**(1\/2)\/h)**(7\/3) assuming h is positive.\nAnswer: h**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/44)\/((-9)\/(-2) + -3). Suppose z = -5*t + 18, -6*z + 2*z = -3*t + 20. Let m be ((-7)\/(-21))\/((z - -1)\/3). Is s less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 45077958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14383460 and 40040?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 23*o + 7. Let n(l) = l**2 - 24*l - 8. What is -7*f(g) - 6*n(g)?\nAnswer: g**2 - 17*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 28. Is -24 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 6974.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1275 + 1278. Solve -b*p + 4*y = -2*p - 14, -2*p = 2*y + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*28*((-10050)\/40)\/15. Let j = r + 472. Solve -j*k + 4 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -161*c*g**2 - 23*c*g*o - c + 10*g**2*o wrt o?\nAnswer: -23*c*g + 10*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1593 - 1517. What is the smallest value in -5, -2\/5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6672*x**3 - 41*x**2 - 7. Let y(q) = 6673*q**3 + 35*q**2 + 6. Calculate -6*h(v) - 7*y(v).\nAnswer: -6679*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2006 - -1997. Which is bigger: -34 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2488565 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 141\/(-27) + (-5)\/(-20)*20\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - w + 3. Let h be n(0). Let q be 6\/(-24) - (-5)\/4. Solve h*j + 2 + q = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47.8 + -48. Let n = -623\/4 - -155. Let j = 124\/3 - 41. Which is the closest to j? (a) -5 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-10))\/(2\/10). Sort -12, 3, q in decreasing order.\nAnswer: 3, q, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/140*4*26870\/(-8061)?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75534057 is divided by 1592?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 65.\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrdjddyrrdyyyrryydy. What is prob of picking 1 j and 3 r?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, v: 3, e: 1, g: 1}. Give prob of picking 1 v, 2 n, and 1 e.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-seven fifths of a century?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*i - 26 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 21 + 169 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1870 and 11154935.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) + (-2)\/(-8). Let b be (-4 - -3)*1 + 2. Suppose 0 = 3*k + 2*k - 4*g - 6, 3*k = 5*g + b. Is m greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/22)\/(m*m*m\/m**(-20))*(m*(m\/m**(-12))\/m)**(-2\/103) assuming m is positive.\nAnswer: m**(-52793\/2266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n - 20. Suppose 18 = -2*y - 0*y. Let h = n - y. What is the second smallest value in h, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 63, 3\/4, -58?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 52.7 (b) 0.5 (c) 6\/13 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) -5 (c) -261 (d) 1\/6 (e) 1\/15 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 22*u**2 - 1. Let r(p) = -1831*p. Determine r(v(w)).\nAnswer: -40282*w**2 + 1831","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let p be k(-1). Let u(b) = -p - 5*b**3 + 2*b + 0*b**3 + 6*b**3. Let i be u(2). Is 10 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5 - 27657*g**4 - 937833*g**3 - 8846787*g**2 - 14990688*g - 7054080 = 0. What is g?\nAnswer: -9185, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5778.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 10 = 5*y + 15, -4*y = -13*h + 126 - 45 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b + 60. Suppose -b = 3*a - 75. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2349)\/6426 + -1 + (-3)\/(-2) and -48\/77.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322371 times -0.5\nAnswer: -161185.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9423 and 117153?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 56*l**2 + 7*l + 12. Suppose 0 + 4 = -2*s - 5*k, -3*s = -k + 23. Is h(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 240?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-56958)\/(-46))\/(31707\/4068 - 8). Let u = m + 6018. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870421?\nAnswer: 83, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1273\/7 - 181. What is the nearest to -2\/5 in -0.4, r, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019073591 to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-51)\/(-68)*(-12)\/(-3). What is the second derivative of -c*w**2 + 9*w**2 - 5*w**2 - 6*w**3 + 169*w wrt w?\nAnswer: -36*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.40902mg to micrograms.\nAnswer: 62409.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -40 + 36 - -40.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16077.6 * -1.9.\nAnswer: -30547.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from hbhhhhhbbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16423 divided by 2761?\nAnswer: -1493\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 392*l**2*w**3 - 554*l**2*w**2 - l*w**3 + 16*l*w**2 - 6388*l*w - w - 2 wrt l?\nAnswer: 784*w**3 - 1108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -249 - -14?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-1) + (-249)\/(-3).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*((-48)\/(-20))\/(-6). Suppose 24 = 4*c + v*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 3\/35 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -1)\/1 + 26. Let d(i) = -18*i + 589. Let o be d(32). What is the greatest common divisor of z and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 879 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382.88*-70.52.\nAnswer: 27000.6976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, 1, 5, 2, -4 in descending order.\nAnswer: 5, 2, 1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44639 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -56. Calculate the highest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-75) - 155085\/(-474750)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8751931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177442255*w**6 + 1586714*w**2 + 2*w + 11.\nAnswer: -21293070600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-9179)\/(-3151) + 3*-1\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1025128.62 to the nearest ten thousand.\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) -0.3 (b) 16 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/9 (b) -12 (c) -1\/2 (d) 6\/7 (e) 0.03 (f) -5 (g) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o + 5. Let m be x(0). Suppose 0 = -m*a + 2*a + 15. Let r(f) = -f + 6. What is r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.969542592 times -3\nAnswer: -2.908627776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from fgggggggfgfgfg.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -7.96. Let r = -5.04 + j. Let s = -1 - -3. What is the nearest to 2\/7 in r, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -4 (c) -0.4 (d) 0.4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.0256 - 0.0056. Round l to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -446 + 452. Solve 4*f = -2*q + 3*f + w, 3*f = 3*q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*(-153)\/68.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - c**3 + 2*c**2 - 45106*c**4 + 45108*c**4 + c + 3 as w*c**2 + d + p*c**4 + k*c + y*c**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 379 = -3*x, 7*x + 128 = 6*x + w. Let f be (-6)\/(-4) + x\/(-2). Calculate the greatest common divisor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 920*l - 76372. What is j(83)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 20, -12, 0.0108?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*o + 816 + 1625 = -307. Solve -o*g - 118 = -142 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 3\/5 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876258850 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from xooxx?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/((-2)\/2)*(45 - 49). Let j(p) = 72*p**2. Let m(u) = -11*u**2. What is i*m(g) - 5*j(g)?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3277 - -156. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let o = -0.33 + 2.13. Let j = o - 1.79999979. What is j rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/8 and 7\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -412*f**3 + 2452*f**2 - 2417852.\nAnswer: -1236*f**2 + 4904*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 62, 0 in decreasing order.\nAnswer: 62, 41, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (232\/528 + (60\/18 - 4))\/(-5).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23935460.\nAnswer: 2, 5, 1196773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*i + 2, -5*i - 2*d - 242 = -252 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, 0, -269, 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 24 (b) 51 (c) 1\/3 (d) -3\/5 (e) -3\/7 (f) -2\/15 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*s**2 + 185*s**2 - 333*s**2.\nAnswer: 54*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (19 - (-13 - -44)) - (-80 - 0).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y**2 + 7*y + 1. Let s(v) = -7*v**2 - 6*v - 2. Determine -6*r(o) - 7*s(o).\nAnswer: o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 + -0.13. Let t = 0.3 - z. Let n = t - 0.060001. What is n rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -24. Let i = 5.2 + t. Suppose 15*j + 4 = -21 - 5. What is the closest to i in 2\/31, -1\/2, j?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-7)*c))\/(c\/(c**(-1\/3)\/c*c*c))*((c**(-2)\/c)\/c)**(-2\/9))\/(((c*(c**(-5)*c)\/c)\/c)\/(c*c**(-9)))**(-32) assuming c is positive.\nAnswer: c**(932\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-8 - (-9 - 2)) + 0 + -37).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2234, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6*a - 6 = 0. Solve 4*m + 15 + a = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2030774 - 7045.65\nAnswer: 2023728.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 1695538.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(-2) - (0 + -3). Let t = -43 + 78. Let c = t - a. Calculate the remainder when c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 261720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 50089998 divided by -4\nAnswer: -25044999\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4 = -3*i, 3*x - 88*i - 24 = -91*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 1567*s**3\/6 - 245*s. Let z(w) = -w**2. Give p(z(j)).\nAnswer: -1567*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -9\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41.69 - -279.\nAnswer: 320.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*j*n**2 - 9*i**2*j*n + i**2 - 10*i*j*n + 36*i*j - 673*i*n**2 + 3*j*n**2 + 62*j*n - 34*n**2 wrt n.\nAnswer: -2*i**2*j - 1346*i + 6*j - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -2608.49 - -2608. Which is the nearest to 1? (a) 0 (b) 0.3 (c) -2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357397238?\nAnswer: 2, 11, 16245329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.11675 times -6\nAnswer: 0.7005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 + 118 = -12*f - 0*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 14. Let r be y(-8). Let d be ((-15)\/9)\/(r\/(-6)). Suppose 3 = 3*n - 0*n. What is the greatest common factor of n and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 3:21 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 40*k**2 - k - 1. What are the prime factors of b(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*f + 122, 66*f - 172 = 69*f + 5*o. Are f and -193\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8317 + -1128856229\nAnswer: -1128864546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -7\/60*o**5 - 5*o**2 + 0*o**4 + 0*o**3 + 0*o + 0. Give u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264318299439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-4))\/(825\/(-220)). Solve -2*f - 28 = g*f - 4*r, -2*r - 21 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*q + 5. Suppose q = -0*d - 2*d, -2*d - 110 = -4*h. Let v = h - 14. Solve 5*g = 8 + v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eggeeggege. Give prob of sequence eg.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 5*x**2 + 4*x + 7. Let n be s(6). Let m = n - -7. Let q = 7 - m. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2 + l**2 + 614828*l + 1 - 614829*l. Let z(p) = 4*p**2 - 6*p - 4. Let n be -2*-3*1 - 0. Give n*v(k) - z(k).\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -15728120580 to the nearest 100000.\nAnswer: -15728100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 1\/14*u**5 + 0*u - 69*u**2 - 1\/7*u**3 + 0 + 1\/60*u**6 - 19\/84*u**4. Factor s(a).\nAnswer: 2*(a - 1)*(a + 3)*(7*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*u - 13*u + 104*u - 24*u - 7 wrt u?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**5\/2 + 4*c**3\/3 - 7*c. What is the second derivative of i(d) wrt d?\nAnswer: -60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124*c**4 - 5746*c**2?\nAnswer: -2976*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30223212 (base 4) in base 3?\nAnswer: -2122020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 17507, 3\/2 in increasing order.\nAnswer: 3\/4, 3\/2, 17507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 4. Let g(u) = 1. Give -c(o) + 5*g(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*y + 4*t - 3, -2*y + 3*t - 5 = 0. Let k(d) = 5 + 0*d + 2*d + 18*d**2 - 19*d**y - 3. Determine k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5804 + 5807. Let q(a) be the first derivative of -1\/3*a**z + 3\/10*a - 13\/20*a**2 - 16. Find t, given that q(t) = 0.\nAnswer: -3\/2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 83 - 3243*t + 3243*t + t**2 - 64.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + -1 + 9 + -13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1994, -3435, -4326, -4667, -4458, -3699?\nAnswer: -2390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 6*t - 3*t)*(-t + 5*t - t)*(-5*t - t - 8*t) to z*t**2 + c*t**3 + l + x*t and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + s**3 + 4*s**3)*(-9*s - 7*s + 3*s)*(-2 + 0 - 3).\nAnswer: 325*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 762 + 512. Is 1273 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75269*d**2*h - 557*d**2 + d - 1 with respect to h.\nAnswer: -75269*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54929553 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 199357309 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 10)*((-t + 3*t + 0*t)*(-t + t**2 + t) + 6*t**3 - 149*t + 4 + 149*t) to the form j*t + v*t**2 + k + g*t**3 and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033033257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((0 - -1)*6)\/(66\/20). Let s(r) = -r**3 - 18*r**2 - 18*r - 15. Let n be s(-17). Is c > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2314 (base 6) to base 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 2, g: 3, c: 1, v: 2, r: 3}. What is prob of sequence gc?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2 - 148411*g*k**2 + 75*k**2 + 124*k - 22 wrt g.\nAnswer: 2*g - 148411*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -827\/11. Let d = -65 - -63. Let s be (d - (-45)\/11) + -2. Put 4, t, s, -8 in increasing order.\nAnswer: -8, t, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(0 - 99\/(-12)). Let i = -22 - a. What is the smallest common multiple of i and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s*s**(-10\/7))))\/(s**25*s*s))**(-1\/12) assuming s is positive.\nAnswer: s**(199\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6557 and 59179?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-3)\/(-6) - -3. Let y(b) be the third derivative of 23*b**4\/12 + b**3\/6 + b**2. Is y(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50.7 + 52. Let f = 6.3 - h. Sort -0.4, 0.5, -5, f in descending order.\nAnswer: f, 0.5, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797.997257s in weeks?\nAnswer: 0.0029728790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + 3*m - 2. Let r(j) = -9*j**2 - 5*j + 4. Give -5*n(f) - 3*r(f).\nAnswer: 7*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3*k, -3*k - 4*i + 3*i = -10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 22. Let k = d + -7. Which is the second smallest value? (a) 0 (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462191036.\nAnswer: 2, 17, 19, 357733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15708\/1581 + (-4)\/(-62).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*c + 60 = 0, -4*i - 3*c = -5 + 46. Let n be i\/49 - 984\/(-14). Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*d + 6*d. Let l be -11 - -8 - (1 - (-1)\/(-1)). Let u(k) = -k**3 - 7*k**2 + 8*k + 3. Let v be u(-8). Sort d, l, 2, v in decreasing order.\nAnswer: v, 2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1960 and 1344?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 3\/2*f**2 - 3 + 3*f. Differentiate o(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24956 and 1088.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*i + 75, i = -2*c - c + 35. Find the common denominator of c\/25 + (-153)\/(-55) and 4\/(-16) + 33\/(-8).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 82 = 2*s, 34 = -0*x + 2*x + 2*s. What is the second derivative of -4324 + 4324 - x*l - 13*l**4 wrt l?\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/62 and 37\/650.\nAnswer: 20150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(76)*2 + sqrt(76) - sqrt(76)*-3).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*x + 37 = -300*x - 8*l, 3*x + 259 = -61*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 123\/24 + 1*3\/(-24). Solve 4*c - 9 = -3*j - 2*j, 0 = 2*c - g*j + 33 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2456 or -2455?\nAnswer: -2456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.162 plus -10410247?\nAnswer: -10410247.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344845403?\nAnswer: 2344845403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2*l + 1\/4*l**4 + 31 + 0*l**3 - 4*l**2 + 17\/5*l**5. Find the second derivative of t(k) wrt k.\nAnswer: 204*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(-1)\/v)\/v))**(-32)*(v**(-4)\/v)\/(v*v*v\/(v*(v\/((v**0\/v)\/v))\/v)) assuming v is positive.\nAnswer: v**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131825?\nAnswer: 3, 5, 15091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -5, 0.\nAnswer: -5, 0, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 7*h + 17. Let i be (2\/(-12)*20)\/(14\/21). Give u(i).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/8)\/(-18)*-8.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00187597137 rounded to six dps?\nAnswer: -0.001876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 18. Let s be z(8). Suppose -1530 = -s*p - 3*p. What are the prime factors of p?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8778869 meters?\nAnswer: 877886900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 1991*l - 1995*l + 224, l + 71 = -33*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 take away 4196039191651?\nAnswer: -4196039191623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 1. Let p be o(-1). Suppose -a - 4*n - 11 = 0, -2*a - 3*n = p*n + 7. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 17*m + 8. Let h(n) = n + 1. Let f(c) = -6*h(c) + v(c). Calculate the remainder when f(6) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 2 + q**4 - 291*q**3 + q**2 + 31*q**3 + 23*q**3 as i*q + k + w*q**4 + n*q**2 + x*q**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n + 34. Give j(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 - -0.0439677122\nAnswer: 0.3039677122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/154*(-70)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (55 - 214) + 62?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 842 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-17)\/85)\/(-10*(-24)\/3200)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 (base 10) in base 7?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.31 - -0.3. Let o = -71.29 + 71. Let d = t + o. Which is the nearest to 1\/2? (a) -0.2 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 7*g**2 - 7*g - 2. Let s be 0*1\/(-6)*-3. Let b be (14 + s)\/(-2) + 1. Let k be -8 + -3*b\/9. Calculate w(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2025 = 2*p, -4*p - q - 3*q - 4080 = 0. Let v = 8163\/8 + p. Calculate the common denominator of v and 36\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1\/6*3. Suppose -4 = -4*d - 8. Sort -4, d, u in decreasing order.\nAnswer: u, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19078, -77228, -174150, -309844, -484310?\n\"Answer: -19386*x**2 + 8*x + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -762 divided by -2?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 95, 211, 373?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/7 - 60*d\/7 - 39.\nAnswer: -3*(d + 7)*(d + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 9. Suppose -5*k = -5*i + 35, -2*k = 2*i + 6 - 0. Let g be f(k). Solve -4*v = -2*v - g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (291\/(-873))\/((-2)\/(-60)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32642 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 48. Let f(i) = -2*i - i + i - l*i. Let c(b) = -2*b. Give f(c(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*x - 5*x. What are the prime factors of -2 + 3 - (-28 - x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.346 - 0.654. What is the nearest to p in 5, 1, 0.01, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -100, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = -2*c - 2*o, 4*c + 2*o = 806 - 106. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3661.\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2564304 and -5\/31272?\nAnswer: 2564304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 764 and 10?\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -38, -35, -32, -29?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 137768620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3685 by -55.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 201541664 divided by -4\nAnswer: -50385416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -71*12\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.7101 - -14.7. What is l rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 14*z**3 + 14*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2))\/((-11)\/22). Suppose s - k = 20, 0*s - u*k = 2*s - 30. Solve 2 + s = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -110, -327, -734, -1391, -2358, -3695?\nAnswer: -5462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 62, 4, -26, 44?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -645 - -211131?\nAnswer: 210375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 21 + -17 + -22 - -70.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*p - 9*p + 35844 = 211*p for p.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 8:32 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - (sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117) + -1*sqrt(117))) - sqrt(117))*-2))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556708 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 711335 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f + 2423 = 29*f - 4*p, 4*f - 1936 = 2*p. Let d = -329 + 658. Let r = f - d. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 3.1819\nAnswer: -9.5457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 794*b**2 - 1356149*b - 5125. What is g(1708)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 7706780.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(10\/(-195)*(-27)\/36)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*j**2*m**3 - 2966*i*j*m**3 - i + j**3*m**3 + 18348*j**3*m**2 wrt m.\nAnswer: 6*i*j**2 - 17796*i*j + 6*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 4, m: 1, s: 2}. Give prob of picking 1 s, 1 a, and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 48 = -53. Let n be 330\/(-88)*(5\/(-3) - f). Solve -2*g + 27 + 8 = 5*y, -y = g - n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 15. Let c be k(6). Suppose -8 = -c*m + 3*r + 13, 1 = 4*m + 5*r. Solve m*f = -10 - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-7)*p)\/p*p**5*p**(3\/8)*p\/(p\/p**(-6)) assuming p is positive.\nAnswer: p**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -10. Suppose -2*b + n*b = -1240000. Round b to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**3\/6 + c**2 + 4*c. Suppose -2*i - 4*v + 0 = 6, 3*i + 12 = -3*v. Calculate m(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - 9*q + 9. Let j be f(-5). What is the first derivative of 88*h**j + 3 - 130 - h + 11*h**4 wrt h?\nAnswer: 396*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030571161 to five decimal places.\nAnswer: -0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 1095473521?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 2*w**2 - 4*w**2)*(2*w**3 + 14*w**3 + 3*w**3)*(-6 + 5 - 3)*(3 - 2 + 0).\nAnswer: 76*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n. Let o(r) = -19601*r. Calculate s(o(u)).\nAnswer: 254813*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a + 1. Let v(t) = -6 + 8 + t + 7. Let q be v(-8). Calculate the remainder when 37 is divided by k(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356122480 to the power of 1\/2, to the nearest integer?\nAnswer: 18871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.9 - -97.1. Let w = -1850.857459 + 1746.85735. Let j = w + i. What is j rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 9*v - 11. Let j be c(-7). Suppose -j*b - s = -3*s - 48, 3*s = 4*b - 64. Is b less than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1768 + 1786. What is the remainder when 2595\/21 + 8\/(-14) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1480 = 4*w - 272. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -16. Suppose -10*q + b = -7*q. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 11*r**2 + 9*r - 13. Let p be o(-10). Let x = p + 3. Solve k + 3 - 6 = x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k - 4*k + 2*k. Let v(x) = -14*x**2 - 8*x - 8. Let i(d) = -9*d**2 - 5*d - 5. Let y(q) = 8*i(q) - 5*v(q). Calculate y(m(h)).\nAnswer: -162*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -57 + 90. Let z(q) = -20*q - 6. Let x(l) = -7*l - 2. What is p*x(t) - 4*z(t)?\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 8*h**2 - 4*h - 28. Let d be x(7). Let o(u) = -48*u - 50. Let w be o(d). Calculate the greatest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 30 - 92 = 0. Suppose -10 + z = 3*m. Suppose -3 = 3*x - 3*n, -n = -4*x - 0*n - m. Which is the second biggest value? (a) 0.1 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44490*i**6 - i**2 - 40969 wrt i.\nAnswer: 5338800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6146868 and 4563?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - -1)\/(4\/62)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 439671?\nAnswer: 4396710","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**5*x - 13*k**4*x + 6*k*x + 5*x wrt k.\nAnswer: -20*k**3*x - 156*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = 4*f + 189. Let j = -71 - f. Suppose -7*x + j*x - 8 = 0. Calculate the lowest common multiple of 9 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 - 151*x + 135*x)*(-1 + 5 - 2)*(-19 + 19 + 19*x) as r*x**2 + y + s*x and give r.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90) + 2*sqrt(90))\/sqrt(2)*-2.\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 181*p - 91*p - 11528 = 0 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1575 divided by -75.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 147 - 59*k + 145*k - 45 - 48 - 52. Let b(l) be the third derivative of -l**4\/12 - 7*l**2. Calculate a(b(f)).\nAnswer: -172*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5009*a**2 - 5002*a**2 + 15038*a**2 - 5015*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -58225 divided by -11645?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1996 is divided by 295.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let j(d) = 30*d - 1. Calculate -2*j(l) + 10*q(l).\nAnswer: -40*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -2432222?\nAnswer: -2432214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 136*z - 97*z.\nAnswer: 39*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14729306?\nAnswer: 2, 43, 171271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {x: 1, y: 5, k: 1, a: 3, d: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15106876 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511.8 litres in millilitres?\nAnswer: 3511800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 - 5*m - 5. Give i(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69020 is divided by 2556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + 39. Let p = s + -88.99961. What is p rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uue when three letters picked without replacement from {u: 8, e: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 6. Let l(z) = -3*z**2 - 17. Let g(a) = 6*l(a) - 17*p(a). Let q(u) = -3*u**2. Give g(q(x)).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 72 + 225 - 153.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 541049*d. Let l(p) = p. Give h(l(n)).\nAnswer: 541049*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 18.7, 5, -2\/5 in increasing order.\nAnswer: -2\/5, 0.5, 5, 18.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 249436.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630*l = -899*l - 4304 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3966893 divided by -3577\nAnswer: -1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 10703 = -8137. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 8. Let x = 7 + s. Let j = 111\/2 + -331\/6. Which is the closest to -0.1? (a) x (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612.0128 decades in months?\nAnswer: 73441.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 119, 230, 383, 584, 839, 1154, 1535?\n\"Answer: y**3 + 15*y**2 + 59*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.74 + -0.7. Let r = 0.103 + -0.003. What is the nearest to 1\/3 in -1\/4, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*z - 38 = -v, -v + 17 = z. Let d = v + -10. Does 35 divide (-35)\/(d*36\/40 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 18*c - 21. Let q(z) = -z + 1. Let l(t) = b(t) - 2*q(t). Find the first derivative of l(a) wrt a.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/((-15)\/6 + 2). Let w be 252\/d + -1 + 0. Let m = 27 - w. Solve 0 = 4*p + m + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 12. Suppose -5*z - 4*g + 58 = 0, -24 = -2*z + g - 6. Let x be n(z). Solve x*d + 6 = -0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 4*i**2 + 3. Let p be c(4). Suppose 0 = -p*w + 4*w - 5*j - 14, 14 = 5*w + 3*j. What is the highest common factor of w and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -20*u**2 + 24*u - 17. Let m be l(-12). Let t = -76589\/24 - m. Calculate the common denominator of 40\/21 and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(-5))**50 assuming l is positive.\nAnswer: l**(500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w + 5. Let h be (22\/(-100) - 0) + 1. Let o = -2749\/450 - h. Calculate the common denominator of v(-6) and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + -16?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50303809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 25657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 42.009 - 407610\nAnswer: -407567.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427, 2548, 6097, 11074, 17479, 25312, 34573?\nAnswer: 45262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12295496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaw when four letters picked without replacement from {k: 4, x: 1, a: 5, w: 6}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1665 and 30.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.724 take away 2268707383?\nAnswer: -2268707386.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/102222 and -25\/24.\nAnswer: 408888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)*l)\/l**14*(l*l*l**(9\/5)*l*l)\/((l\/(l\/(l\/((l**(3\/7)\/l)\/l))*l))\/l) assuming l is positive.\nAnswer: l**(-746\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l**3 + 9*l**2 + 10*l + 227. Is i(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-8)*9\/(225\/40). Let c(x) = -272*x - 24. What is the tens digit of c(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + r + r)*(-473 - 5553 - 4462 - 3972) as y*r + w and give y.\nAnswer: 14460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91331050.\nAnswer: 2, 5, 67, 137, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9834610.\nAnswer: 2, 5, 983461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/2 - 5*t**4\/2 + t**3 + 4*t**2.\nAnswer: t**2*(t - 4)*(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5299\/333 + 597\/37. Which is the nearest to 94? (a) -3 (b) -7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 a when four letters picked without replacement from aaaaaaahahaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggttgttgttteg. Give prob of picking 2 t.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1634*q - 6445 - 13163 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37600 and 282?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.95 + -2.18. Let m = 3.84 - -0.16. Let l = m - q. What is l rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10 - (48\/160)\/(42\/56)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2*z - 28 = 0, -6*z = 4*j - 3*z + 28 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/3 equal to 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2834)\/442*9*(-340)\/360.\nAnswer: 109\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/6)\/((-2)\/(-12)). Calculate the highest common divisor of 7 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 + 0)) + 1 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3892 less than 0.215?\nAnswer: -3891.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 414279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/5465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 335.715652?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1263*c - 2460*c - 1036*c)*(-3*c**3 + 32*c - 32*c) to q + a*c + d*c**4 + o*c**2 + v*c**3 and give d.\nAnswer: 14277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 5979.\nAnswer: 65769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2 - 8739\/99*3. Let a = g + 263. What is the nearest to -13 in a, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 25242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/15)*w**(1\/2))\/(w**7*w*w*w*w**4) assuming w is positive.\nAnswer: w**(-371\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + 41*k - 31. Calculate q(8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 + 9\/(-18). Suppose 14 = p - 3*k, 4*k = -5*p - b*k + 13. Solve 4*q - p*q + 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*j + 9. Let d = -10 + j. Let w = d + 23. Calculate the remainder when 46 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-58)\/10 + 6). Let g be k\/(-15)*(-3)\/30. Factor g*z**3 - 2\/15*z + 2\/15 - 2\/15*z**2.\nAnswer: 2*(z - 1)**2*(z + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-150)\/4*(-18)\/(-27). Let t = -27 - v. Let f be (-4000)\/2*750\/t. Round f to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 73*h**2. Let r(f) = -17*f**2. Calculate o(r(y)).\nAnswer: 21097*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52 + 114 - 55)*(3*c - 2*c - 3*c + (-2*c - 5 + 5)*(0 + 0 - 2) + 4*c - c - c - 2 - c + 4 - 5) to the form z*c + d and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*v + 210, 0 = -6*v + 2*v - p - 169. Let y = 56 + v. Calculate the remainder when 4\/(-6) - (-167)\/3 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 11\/1 + 2. Is u bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28404 + -312442\/11. Let v = -0.05 - -3.05. What is the nearest to r in -1\/10, -0.6, v?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10. Let p be (0 - -4) + f - 0. What is the common denominator of 65\/2 and (-87)\/(-60) + 3\/p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 + (-20)\/30 - -3. Solve -3*n - 10 = -2*n - z*d, 6 = 2*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46553 + 44953 = 32*f for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 385 + 3363 = 179*n - 13892 for n.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - (sqrt(144)*-2 + sqrt(144) - sqrt(144)))*6)\/(sqrt(36)\/(sqrt(6) + sqrt(24))))\/((5*sqrt(144)*2)\/(sqrt(36)\/sqrt(3)*4)).\nAnswer: 108*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v**(2\/23)*v)\/v))\/v)\/v**(3\/5))\/(v**(-7)\/v**(-10)) assuming v is positive.\nAnswer: v**(-424\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19916 + (1 - 0) + 6*56\/84?\nAnswer: 11, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32160 and 1280.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 72 = -5*z - 13, 3*z = -5*t + 64 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o = 594 - 1375 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -10. Let h be (-5 - p) + 28\/(-10). Is 0 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -0*y + 4*y - 8, -5*y = -25. Suppose -n + m + 8 = 0, -m = w*m + 3. Solve -n*c + 12*c - 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1176 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 5, 311.8, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -43, -141, -331, -643, -1107?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 248270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17.8 times -311\nAnswer: 5535.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 d when four letters picked without replacement from rrdjrrrjjddj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -28, -37, -50, -67, -88, -113?\n\"Answer: -2*m**2 + m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 - 76 = 16*z - 1112. Calculate the highest common divisor of 338 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 712, -13512.\nAnswer: -13512, 6, 712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83862 is divided by 892?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**3*y**3*z - 2*n**3*y - 35*n**2 + 557*n*y**3*z + 2*n*z + 4*y**2*z + z wrt y?\nAnswer: -12*n**3*z + 3342*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 21 = -9. Let u be 38549\/21*i\/(-16). Let p = -691 + u. Find the common denominator of p and 43\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-1))\/((-12)\/24). Suppose 4*h - 8 = 0, -h + 84 = 2*z + p*h. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 871 + 17741 = -355*o - 4706 for o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*n + 13, 193 = 4*l + 4*n + 177. Calculate the greatest common factor of 29 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*-5)\/(-3*sqrt(96) + sqrt(96) - sqrt(96)) + (sqrt(99) - (1*sqrt(99) - sqrt(99))*-4)\/(sqrt(324)*-3).\nAnswer: 13*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/9*j - 2\/9*j**4 - 34\/9*j**2 - 20\/9*j**3 + 0.\nAnswer: -2*j*(j + 1)**2*(j + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 4827?\nAnswer: -4825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - 2.3. Let v = 5288 - 5287.9. Let r = 30 + -29.7. What is the third smallest value in v, p, r, -6\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/11, 4, -2\/9, -9.\nAnswer: -9, -2, -2\/9, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -440263984 divided by 8\nAnswer: -55032998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/6 + j**3\/2 + j**2\/3 = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2 - -3) + 9\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*t + 478499 + 3572149 = 0. Is 97 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17*p**3 + 1. Let w be j(2). Let t be (-22680)\/100 + 66\/(-30). Let m = w - t. Calculate the least common multiple of m and 6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10*w**3. Let l be d(1). Let n(z) = z**3 + 11*z**2 + 10*z - 1. Let k be n(l). Does 13 divide (26\/(3 + k))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snnnnsnnn. Give prob of picking 4 n.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 540?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -418, 0, 8127 in decreasing order.\nAnswer: 8127, 0, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4348 = -5*s - 4*y, 3*s - y = 4*s - 869. Suppose -5*n = x - 2173, 20*n + s = 22*n - x. Is n greater than or equal to 435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 731*n**4 + 13*n**2 - 25*n wrt n.\nAnswer: 17544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*p - 28. Suppose p*f + 6*o - o - 45 = 0, -o = 4*f - 25. Let h(l) = 13*l**2 - 22*l**2 + f*l**2 + 6*l**2. Let z(q) = 2*q**2. Give z(h(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981134 times 24?\nAnswer: 47547216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 2*j - 1. Let c = -10 - -13. Suppose b = -c*v - 0 - 3, v = -b + 1. Suppose 5*p = -4*s + 4, -2*s + 1 = -s - b*p. What is u(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 20. What is the second smallest value in m, -2\/5, 0.08?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/5 - 1104*o**2\/5 + 6354*o + 38379572\/5 = 0. What is o?\nAnswer: -154, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 15. Let j(h) be the third derivative of -5*h**4\/8 + 4*h**3\/3 - 2*h**2. Let s be j(n). What is s rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 218006?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i - 65. Let c(g) = g**3 + 23*g**2 - 19*g - 454. Let d be c(-23). Give k(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - l = 4, 3*p + p + 9 = 5*l. List the prime factors of (-1 + 1 + p)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - 4. Let o(a) = 3*a**2 - 4. Suppose -232*d + 188*d = 88. Calculate d*o(s) + 3*i(s).\nAnswer: 3*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 + 77. Is 25 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 145 + -213816?\nAnswer: -213671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 5*d + 1\/5*d**5 - 15 + 0*d**3 + 0*d**4 + 0*d**2. Differentiate r(t) wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2941 + 0.2059. What is the nearest to 4 in 6, 0, a, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, -318, 3, 5 in increasing order.\nAnswer: -318, -1, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 - ((-53 - 79) + 192)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z + 436 = 60 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 798212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.119883613572 - 1?\nAnswer: -1.119883613572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppccppcpppppcpcccccc. What is prob of sequence pcp?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 4*q**2 + q - 1. Let v be f(4). Let r(s) = 3 - 3 - v + 5*s. Suppose 5*k - n = -3 + 11, 0 = -5*k + 3*n + 4. What is r(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585071343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22724.82611 rounded to the nearest ten?\nAnswer: 22720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1425509 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzpzxvxqxpxxxxzxxqvp. What is prob of sequence ppp?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 21. Let z(i) = -20*i**2. Let c be z(1). Calculate the remainder when t is divided by (-1 - 4)*28\/c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**3\/6 + 3*a**2 + 6*a. What is n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/28*(-1519)\/(-217).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + 0*z**5 + 2*z**5 - 4*z**5 + z**5 + 7*z**5 + (-3*z**4 + z**4 + z**4)*(z - 8*z - z).\nAnswer: 14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2123 divided by -3\nAnswer: -2123\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h - 3. Let x = 151 - 151.1. What is the closest to x in -4\/7, -5, h?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*i**4 + 272*i**3 - 15554 wrt i.\nAnswer: 52*i**3 + 816*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 8:41 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14214 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63891069*n**4 - 35872*n**2 + 13*n?\nAnswer: -1533385656*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/16? (a) -0.5 (b) 0.2 (c) 4\/7 (d) -16\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**3 + j**2 - 7. Let u(r) = -r**3 - r**2 + 1. Give o(i) + 6*u(i).\nAnswer: -i**3 - 5*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1600, -2.092, -5?\nAnswer: -2.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a**2 + 3002*a + 23*a**2 - 10*a**2 - 3002*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1205*m - 1 + 1069*m - 1 to y + g*m and give g.\nAnswer: 2274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from nnnqjccnjojnjcncjj.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1293740 is divided by 10692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15522 or -15527?\nAnswer: -15522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (8 - (6 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2800 and 1932.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -21*l**2 + 35*l. Let n(s) = 10*s**2 - 15*s. Let k(f) = 3*g(f) + 7*n(f). Let q(h) = 18*h. Determine k(q(a)).\nAnswer: 2268*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -13*w + 10. Let r(x) = 32*x**2 + 2*x - 19. Calculate c(r(p)).\nAnswer: -416*p**2 - 26*p + 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 7\/349465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15958494.\nAnswer: 2, 3, 886583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 20546936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 5508994.\nAnswer: 1652698.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*sqrt(9072) + (-6*(sqrt(9072) + 2) + sqrt(9072))**2 + -1.\nAnswer: 4140*sqrt(7) + 226946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbcbb. What is prob of picking 2 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 5 = c, 0 = -4*c + 5*j + 20. Suppose 0 = c*a + 17 + 3. Sort 4, a, 5 in ascending order.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*-2*3 - sqrt(272) - (sqrt(272) + 3 + sqrt(272) + 0)) + 2 + sqrt(272) + 0 + 3)**2.\nAnswer: -128*sqrt(17) + 17412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -33001*w**4\/12 - w**3\/2 + 9*w**2 + 55*w. Let o be l(-6). What is o rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 1656*v - 18095.\nAnswer: -(v - 1645)*(v - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614 - 2*d**2 - 590 - 597 + 5*d**2 + 1801.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Let r(a) = 0*a + 3 + 6*a + 2*a**2 - 5*a**2. Let v be (-2)\/(-4) - 2\/((-44)\/(-99)). Let n(d) = -2*d**2 + 5*d + 2. Determine g*r(w) + v*n(w).\nAnswer: -w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhihhhhihhh. Give prob of sequence hii.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/10 - (-2)\/5. Is 1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 17*r**4\/24 - r**3\/2 + 3*r**2 + 68. Let k(x) = -2*x. What is c(k(h))?\nAnswer: -34*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y. What is the derivative of y + 0*k**4 - 4*k**4 + 0*k**4 + 2 wrt k?\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 559188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 1344 + 1344.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**3 + 10*k**2 - 21*k + 12. What is the hundreds digit of v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 < 1373253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -18*w - 148. Let f be u(-7). Let i be (-2 - 48\/f) + 4\/(-22). Solve 5*b - 5*t + 5 = i, 3*t + t - 2 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 188, 203, 220, 239, 260, 283, 308?\n\"Answer: k**2 + 12*k + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 26. Let k be (-78)\/65*(-5)\/u. Suppose 5*p - 111 = -2*h, -k*p + 325 = 5*h - 0*p. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*u - 53 = 555*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88211, 176424, 264647, 352874, 441099, 529316, 617519?\nAnswer: 705702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-34) + 76\/646\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 4*m + 7. Let s be -10*3\/24*-4. Let g be a(s). Let p be 6\/g + 14\/4. Solve -3*n = -p*q - 21, 2*q - 5*q - 12 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825253?\nAnswer: 83, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448130093 to the power of 1\/2, to the nearest integer?\nAnswer: 21169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - f - 1. Let l(a) be the first derivative of 5*a + 5\/2*a**2 - 5 + 2*a**3. Let b(s) = -s**2 + 4*s - 2. Let v be b(3). Calculate v*l(o) + 5*i(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.110446 times 2.64?\nAnswer: 0.29157744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (9 - 2 - -13)) + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29922 divided by -6.\nAnswer: -4987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(200))*-2 + -6*3*sqrt(200)*2.\nAnswer: -420*sqrt(2) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2626 and 303?\nAnswer: 7878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:08 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (4 + (-4 - -17))) + -11 - (-38 - -1)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmbbm. Give prob of sequence mm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7230257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 20*p**2 + 75*p - 136. Let q be i(23). What is d in 0*d - 1\/5*d**3 + 0 - 1\/5*d**q + 1\/5*d**5 + 1\/5*d**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -15. Which is the nearest to 0.1? (a) h (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*n - 419*n = 8172. List the prime factors of n.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (17 + -10 + 1 + 0 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 230645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 - 14*j + 7. Suppose 2*m = -23 + 17. Let y(s) = 3*s**2 + 14*s - 8. Let w(z) = m*r(z) - 2*y(z). Is w(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - -4.92. Let h = 0.69 - -3.31. What is the smallest value in h, k, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 5013.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 12) to base 16\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/(-52)*28\/54 - -2?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -624833.88 rounded to the nearest ten thousand?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4158.8378 rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**5)\/a)\/a**(-3)*(a*a\/(a**(2\/7)\/a)*a)**(26\/5) assuming a is positive.\nAnswer: a**(991\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 0*a + a + 0*a. Let f(i) = -96 + 2*i + 102 - 6*i - 4*i - 12. What is f(v(p))?\nAnswer: -8*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009291 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38551982 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5530508 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 8 = -3*m, 23 = -4*m + 3*l + 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(((-16)\/182)\/(-4)). Suppose -5*a - u - 294 = 0. Let x = 122 + a. What is x rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 1 + 0 + 0 + n**3 - 3 + 5*n**2. Suppose 2*o + 12 = 2. What is the units digit of t(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tka when three letters picked without replacement from ttkatoktmaaatoohatm.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (-25 + -4 - (11 + 2)) - 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 568*m**2 + 1151*m - 1978. Calculate n(286).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.51 - -0.51. Which is the closest to 1\/3? (a) -5 (b) -1\/6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**3\/6 - 17*h. Let f(q) = -22*q**2. What is m(f(y))?\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -754.3 - -740.3. Which is the second biggest value? (a) q (b) -2\/11 (c) -3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.687 - -1.797. Which is the nearest to 8? (a) 0.1 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*h - 2 = -3*s, 4 = -5*s + 4*h. Suppose 3*f + s*g - g = 66, g - 110 = -5*f. Calculate the remainder when 43 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80069 + -21618571\/270. Calculate the common denominator of s and -151\/36.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**5 + 2 - 1 - 3)*(531 - 231 + 138).\nAnswer: -438*r**5 - 876","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 151*u + 12. Let k be o(2). Let l be (4*4 + 1)\/(5\/145). Let c = l - k. Calculate the remainder when c is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2185 is divided by 117?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -7404440?\nAnswer: -7404433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 - 1.6. Let v be ((-10)\/4)\/(2\/(-4)). Suppose -8*f - 47*f + 3*f - 52 = 0. What is the second smallest value in v, -12, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3010*m - 15970 + 12960 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*i**2 - 1470*i + 1080450.\nAnswer: (i - 1470)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/((-26)\/36)*5\/(-10). Let c(m) = 8*m + 73. Let j be c(h). Solve 0*a - a + 5 = 2*r, r - j = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/17)\/((-30)\/24). Let o = 6099\/170 - h. Let g = -608 - -9719\/16. Find the common denominator of o and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 59473204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v + 0*v - 19*v**2 - 6*v to the form p*v**2 + t*v + w and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 525 (b) 4 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18384 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 10:11 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -3)**2 + sqrt(60)\/(-4*sqrt(12) - sqrt(12)) + sqrt(5).\nAnswer: -236*sqrt(5)\/5 + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. Let i = -376 + 387. What is the smallest common multiple of i and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**8\/14 - 67*r**5\/10 + 5*r**4\/6 + 2*r**3\/3 - 130*r. What is the third derivative of c(f) wrt f?\nAnswer: 480*f**3 - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/9 + 1448*x**2\/9 - 1460*x\/9 - 968\/3.\nAnswer: 4*(x - 2)*(x + 1)*(x + 363)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 5*f - 71, 3*f = 4*y - 74 + 112 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -5 (b) 2 (c) 0.2 (d) 0.009 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from eededdhedeeqeqehed?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d - 4*d)*((4*d - d + 2*d)*(4*d - 3*d + 0*d) - 9*d**2 + 2*d**2 + d**2)*(0 - 1 - 1).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 - (146 - 11 - 66)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 12 = 11, -5*z + 64477 = -2*a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -143) + 42 + -81?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from {r: 4, h: 2, e: 8}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12080945119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -249 - -321. Let r = b - 71.999791. Round r to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7022 + 1834 = 6*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2214 is divided by 58?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*p = -2*p. Solve p = v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 12:19 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 - 230. Suppose -2*i - 4*y = -708, f*i - y - 379 = 676. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.4 - 26. Let r = -721.2 - -721. What is the nearest to r in z, 2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -563*i**5 + i**3 + 2276*i.\nAnswer: -11260*i**3 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8531*l + 9996 = 8615*l for l.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 4*k**2 + 5*k - 1. Let c(q) = q**3 + 4*q**2 - 4*q + 1. Let t(o) = 3*c(o) + 2*s(o). Determine t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142*z + 34986 = -113*z for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide -15*(0 + 175\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -58 - (0 + (2 - -21 - -4))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -0.3 (c) 0.15 (d) 782 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59244928 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 233 + -232. Let l = 27.4 + -0.4. Let z = -29 + l. Which is the smallest value? (a) r (b) 2\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6976 = 4*q - 5004. Suppose -5*c = -c + 2*j - 12010, -3*j = c - q. Suppose -7*v - c = -11*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6180 + ((-1)\/(-3))\/(1\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 10*s - 40. Let i(h) = 10*h - 39. Let w be i(s). Find the common denominator of w\/4*3*1\/12 and 101\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 27 = -g, 2*g - 75*w - 16 = -71*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.33191 nanoseconds to minutes.\nAnswer: 0.0000000012221985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 3. Give y(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -32*w + 12. Let b(z) = -1376*z + 512. Give 3*b(t) - 128*g(t).\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128289.77 days in weeks?\nAnswer: 18327.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**4 + 2*o**4 + 5*o + 4*o - 3*o**4 wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 3)*((-1365)\/78 + 26)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32116?\nAnswer: 2, 7, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84711446 to the nearest integer?\nAnswer: 9204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:38 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247247417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/3 (c) 2\/9 (d) -1438.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10326944*h**2*x**2 - 457*h*x**2 + 468*x**2 wrt h.\nAnswer: 20653888*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**4 + y**3 + y**2 + y. Let t(h) = -16*h**4 - 5*h**3 - 5*h**2 - 5*h - 10. Let z(x) = -5*o(x) - t(x). What is the first derivative of z(r) wrt r?\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 18*s**2 - 35*s - 294. Give n(-13).\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238*f**3 - 27 + 35 - 2*f**2 + 23*f - 10 + 66*f wrt f?\nAnswer: 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -2, -0.5, -4\/9, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37, -73, -107, -139, -169, -197, -223?\n\"Answer: q**2 - 39*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/40*(-4080)\/(-22440).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1562860580 + -20?\nAnswer: -1562860600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, n: 3}. Give prob of sequence nnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (((sqrt(65) - sqrt(65)*4) + sqrt(65))\/sqrt(5) - -6*(sqrt(13) - 2*sqrt(13)))).\nAnswer: -32*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 4*k - k - 136*k**2 - 150 - 3*k**3 + 146 to d + o*k + h*k**3 + b*k**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-30)\/616 - 39\/(-91). Let i = v - -13\/66. What is the closest to 3\/5 in 0, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 7 (b) -5\/58 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7390 = 41*u + 2593. Calculate the lowest common multiple of 390 and u.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*v - 695, -10*v + 12*v - 248 = 4*l. Calculate the remainder when 1605 is divided by v.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*h - 38*h + 99*h.\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 24*i - 6. Let v be q(23). What are the prime factors of 6\/(-4)*(8 - v\/(-24))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/5, -2\/5, 520, 1\/5, 176 in decreasing order.\nAnswer: 520, 176, 7\/5, 1\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -46. Let i = 0 + 16. Solve -k = 3*r - i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17526253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 2. Let d be 1 - (m - (-1 + 0)). Suppose 4*a = d - 2. Solve -c + 4*s = a, 4*c + 3*s - 7 = 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15671a - -104?\nAnswer: 156823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 16) + 0 + 9 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -8.94. Let x = h + 0.14. Sort x, 3\/4, 1.\nAnswer: x, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 76\/5 of a millisecond?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**4\/24 + l**3\/3 + 4*l**2. Let j be k(0). Solve 0 = -d - 2*v - 14, -3*d = j*v + 19 + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23\/5, 0.5, 0.24, -2\/13, 50?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/4 and 99\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 5:00 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -0.63?\nAnswer: -0.0441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a - 4. Suppose -2*c = a*k - 7*k - 80, 3*c + k - 98 = 0. What is the remainder when c is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 + 0)*(-22 - 2*z**2 + 22)*(-4 + 7 - 1) + (z + 2*z - z)*(0*z + z + z).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 1:08 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 18*x**2 + 16*x + 12. Is c(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 102*a**2 + 504*a = 0.\nAnswer: -28, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 9*z - 112. Suppose z*g + 162 = 38*g. Calculate the lowest common multiple of 30 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/66 and -95\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 9*n = -2*b - 30, -48 = -4*n - 2*b. Solve -17*f = -n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4832*f - 1001*f = -884*f + 507*f - 387376 for f.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 137922*r + 1987*r**2 - 137922*r - 515*r**2 + 6613*r**2 + (4*r - 2*r - 3*r)*(-2*r + 4*r + 0*r) in the form m + v*r + f*r**2 and give f.\nAnswer: 8083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727 less than 1.6?\nAnswer: 1728.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 13 - 4047*y**2 + 4053*y**2 - 13.\nAnswer: -3*y**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5066427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 1, f: 2, j: 1, w: 2}. Give prob of sequence jl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a minute in seconds?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(56)*-3)\/(6*sqrt(2)*-1))**2 + 1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1.1123.\nAnswer: -0.33369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**40\/(y\/(y*y**(-1\/4)*y))**(-35\/2))**(-19) assuming y is positive.\nAnswer: y**(-437\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**7\/30 + j**4\/8 - 6*j**2. Find the second derivative of f(r) wrt r.\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 38 = 4*c + 3*g, 0 = 4*c + 5*g - 23. Solve -2*d = -4*d + c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*o**2*s**3*w + 16*o**2*s**3 + o**2*s**2 - 3*o**2*s*w + o**2*s - 7*o*s**2*w - 5*o*s*w - s**3 wrt s?\nAnswer: 108*o**2*w + 96*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0 (c) 1 (d) 24637 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -24646?\nAnswer: -24646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**3 - 4*j**2 - 4*j + 6. Let b = -211 + 205. Let t(r) = r**3 - r**2 - r + 1. Calculate b*t(z) + o(z).\nAnswer: -2*z**3 + 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 + -3.247. Let i = -19.953 + a. Let m = 20.0000077 + i. What is m rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3362*q**2 - 3340*q**2 - 3331*q**2 + 13386*q**2 - 3344*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 28 = g. Let y(r) = -3*r**2 + 7*r + 7. Let i(j) = -j**2 + 2*j + 2. Let z be (-1)\/4 - 54\/(-24). Determine g*i(w) + z*y(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 11*v + 10 = 0. Is 952 - (0 + -3 - v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*v = -8*v - 72, 75 = t - 5*v. Let b = -47 + t. What is the highest common divisor of 221 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*f + 6601 = 176*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Suppose -w + h - 1 = 0. Suppose -4 = -0*q - w*q. Which is smaller: q or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 41 = 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 144 + 168 = 0. Suppose 0 = 5*h - 4*r - u, 3*r - r = 2*h - 64. Let a = h - 22. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 24 = -3*r + 4*f, -4*r = 3*f - 32 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8353 is divided by 47?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-18) - -5*376\/(-240))\/(378\/(-216))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y**3 + y**2 - y - 1. Let s be c(-2). Let l = 113 + s. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 122446675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 12 = 11*z. What is the least common multiple of 5 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -1 + 3. Suppose q*r + 0*r = 2. Is -1 - (66\/(-2) + r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -643813*f + 6438135. What is a(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1930747537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 190188961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v. Suppose 3*x - 15 = w, 4*w + 15 + v = 3*x. Suppose -7*y - 9 + 51 = w. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/495 and 17\/135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -31. Suppose 2*v = 3*q - 119, -5*q = -6*q - 3*v + u. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19668042, -19668046, -19668050, -19668054, -19668058, -19668062?\n\"Answer: -4*j - 19668038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + ((-4)\/(-1) - -45). Suppose -5*i + 348 + z = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312112 (base 13) to base 12.\nAnswer: -47394a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11079868 is divided by 287?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -131707.\nAnswer: 48\/131707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one quarters of a meter?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 + 502 = 7*c. What is the smallest common multiple of 6 and (-8)\/(-36) - (-800)\/c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1603 - 3.627. What is o rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m + 1408 = 0. Suppose -2*j + 4*u + m = 0, -5*j = -4*u - 1221 + 323. Suppose -q = q - j. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11200 and -3?\nAnswer: -33600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 10:42 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*v - 1 - 9*v**3 - 2*v**2 - 2*v**3 + 113*v - 228*v in the form n*v + r*v**3 + b + f*v**2 and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13238.4ml in litres?\nAnswer: 13.2384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*v + 65*v - 28*v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.03 - -23.93. Let b = j - -6.1. Let m = b + -26.8. What is the closest to 14 in 0.1, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -2*t**2 + 0*t + 0 + 1\/24*t**4 + 1\/360*t**6 + 1\/18*t**3 + 1\/60*t**5. Factor r(c).\nAnswer: (c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Suppose g*s + 1 = 5. Suppose -3*x + s*x = -11. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -9*b + 3*h - 25, -5*b - 76*h = 63 + 238 + 129 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -43*r**2 + 1177*r + 608. Calculate s(28).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/13*w - 2\/13*w**2 - 4\/13 = 0 for w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11359.999989926 + 11360. What is g rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**3\/3 + y**2 + 21*y + 495. Determine t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -184.\nAnswer: -13\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 101801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 8*y**2 - 20 + 35 + 35*y**3 - 7*y**2 to the form s*y**2 + c + r*y**3 + k*y and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -940 + 51698\/55. Suppose -4*q - 6 = -2*v + 22, 0 = 5*v + q - 4. Which is the third biggest value? (a) 0.2 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 4*s**3 + 0*s**3 + (2*s**2 - 22*s**2 - 13*s**2)*(-4 + s + 4) + 6*s**3 - 2*s**3 - 5*s**3.\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377417072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*i - 111*i - 880. Sort 11, 20, -2, i in descending order.\nAnswer: 20, 11, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/23 + 52*m**2\/23 - 54*m\/23 = 0. Calculate m.\nAnswer: -27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 3*s**2 - 30*s**2)*(3*s**3 + 5*s - 5*s).\nAnswer: -93*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 7 - 15) + -65 + -9.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 <= 253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 5, r: 6, g: 2, h: 1, t: 2}. Give prob of picking 2 g and 1 t.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + -1 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177597 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1804 - 245?\nAnswer: 158c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 12*v - 15. Let r be ((-2)\/((-8)\/(-28)))\/(-2 + 1). What is the remainder when 79 is divided by p(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/67 (b) -6 (c) -1\/3 (d) 0.013 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70fa34 + 1?\nAnswer: -70fa33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 10. What is the units digit of x*(-2)\/(-4)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 + -3670786.8294.\nAnswer: -3670785.5294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/70 and -117\/730.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*y - 2813, 3*y + 12 = 7*y. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51570\/(-12))\/191*(0 - (-12)\/10).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o**2 + o - 4. Let g be k(-4). Let x = -7697\/4 + 1930. What is the common denominator of x and (-102)\/g*(-4)\/(-6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 1, v: 3, j: 2, g: 3}. Give prob of picking 1 a and 1 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4751414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 707517*w**3 - 613796*w**2 wrt w?\nAnswer: 4245102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 142\/7. Let m be (5 - (-118)\/(-24))\/((-2)\/(-3)). Put -2\/15, b, m in descending order.\nAnswer: b, m, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Let l be z(4). Suppose 0*y + 40 = -4*y. Let t = 12 + y. Solve -l = t*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/14*(-1730)\/6920)\/((-2)\/(-168)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81045*b + 80913*b = 9240 for b.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + g**2 + 2*g + 115. Let k be z(0). Let j = 125 - k. Let w(h) = -14*h - j*h + 23*h. Let p(i) = 2*i**2. Give p(w(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1754, -3347, -4818, -6161, -7370, -8439?\n\"Answer: s**3 + 55*s**2 - 1765*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -38*h**2 - 16 + 23 + 0 + 6*h**2 - 5. Let c(t) = 35*t. Give b(c(v)).\nAnswer: -39200*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d - 2. Let w = d + 3. Suppose -55*a + 13*a - 15*a = -171. Solve a*b + 16 = -w*b - 2*z, 4*b + 2*z = -14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1. Let o(y) = y**3 - 3*y**2 - y + 5. Let f(w) = -5*m(w) + o(w). Give f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 + a - 4. Let j be d(0). Let n = j - -6. Suppose -3*v - 2*u = n*u - 10, 18 = 2*v - 3*u. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/539*-7*-63.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16*y**4 - 12*y**3 + 84*y**2 - 122*y + 26. Let l(c) = 5*c**4 + 4*c**3 - 28*c**2 + 40*c - 8. Let u(d) = 39*l(d) + 12*t(d). Factor u(o).\nAnswer: 3*o*(o - 2)**2*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 106, 129, 152?\n\"Answer: 23*k + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 12*v - 18*v**2 - 4*v**2 + 2*v**2 + 3 + 0*v as j*v**2 + c + a*v and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(475) - (-4 + sqrt(475))) + 3) + 4*(sqrt(475) + 0 + sqrt(475) + sqrt(475) + sqrt(475) - sqrt(475)) + -1)**2.\nAnswer: -1800*sqrt(19) + 68625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042923105031634 - -0.1?\nAnswer: 0.057076894968366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9305055708 to the nearest 1000000.\nAnswer: 9305000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1111.9979 - 2.3659. Let d = 1133.1 - x. Let r = 0.132 + d. What is r rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-18)\/2))\/((-12)\/108).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-20))\/(1\/(-4)). Let f(o) = -o**2 - 7*o + 5. Let t be f(-8). Let s be 1\/(-3) + t\/45. Does s = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/5*(-50 + -3040).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a meter in centimeters?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 4 + (-24)\/(-6). Determine m, given that 8 - 6*m - 4*m**2 + 8*m - a*m = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {y: 1, f: 8, c: 9, u: 1}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94 - -2?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 728 divided by 8?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000881004 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011201 - -11?\nAnswer: -12011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -483481 (base 11) to base 15\nAnswer: -101ded","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5875 + 17641\/3. Let h(x) be the first derivative of -m*x - 40\/3*x**2 - 7 - 76\/9*x**3 + 5*x**4. What is r in h(r) = 0?\nAnswer: -2\/5, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 6 + 34*g**2 - 13.\nAnswer: 34*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnqqq. What is prob of picking 1 n and 1 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(114) + -2*sqrt(114)) + sqrt(114) + -2*sqrt(114)*3)\/((-1*sqrt(66)*-5)\/((sqrt(110)*2)\/sqrt(10))).\nAnswer: -8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.081\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h + 546 = 5*i, 3*h = i - 107. What is the greatest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4716 = 10*m - 1904. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 6 + 1. Let l be (-16)\/3 + (-3)\/(-9). Let r = -110 - -115. Sort s, r, l.\nAnswer: l, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 5. Let p be w(-6). What is the greatest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p = -205675 + 204676 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3*4*(-1)\/(-16)*1\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 v when three letters picked without replacement from pqpqppvqqipjvppvvii.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -172*p**3 + 179*p**3 - 12*p**2 + 4*p - 17*p - 3. Let l(u) = -12*u**3 + 23*u**2 + 25*u + 5. Let z(w) = -5*g(w) - 3*l(w). Factor z(i).\nAnswer: i*(i - 10)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*q + 5*i, 4*i - 24 = -3*q + 5*i. Suppose -3*f - 2*p + 9401 = 0, -15705 = -5*f + q*p - 4*p. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k. Let s be 172\/(-6) + 2\/3 - (115 - 110). Let u(g) = 16*g. Suppose -4*y = 5*x - 5*y + 32, -x - 4 = y. Calculate s*i(p) + x*u(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + 4*i)*(-4 + 2 + 4)*(3 - 2 + 1 + (0 + 2 - 3)*(5 + 0 - 4) + (-1 - 2 + 5)*(2 - 1 + 1) + 1 - 5 + 0).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*v - 23, 1 = -4*v - 3. Suppose -5*f + d + 13 = -0*f, -z = -5*d. What is the lowest common multiple of f and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 6 (c) -2 (d) -17\/29 (e) 28\/11 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - k + 4, -2*k = -5*b + k - 12. Suppose 0 = -3*t - b*t. Let x = -10 - -12. Solve x = 2*z - t*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 3*j - 2. Let f = -24 + 40. Calculate the remainder when r(-2) is divided by f\/32 + 9\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30160\/(-10))\/((-8)\/12). List the prime factors of (i\/(-290))\/((-6)\/50).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*v - 3*p - 332, -2*p - 422 = -5*v. Suppose -r = -0*z + 2*z + 66, 0 = -2*z + 4*r - v. List the prime factors of (-4)\/(-14) + (-165)\/z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84\/(-378) + (-42014)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*48\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/960 and -181\/600.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 + 16*m + 48. Give q(-7).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9 + 12*r**2 + 65 - 2*r - 143*r**2 - 18 wrt r.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 57 + 45 = 0. Let s be 3\/(-15)*-5*m\/8. What is the closest to -1 in s, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*o + 599 = 644 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g**3 - g**2 - 24*g - 23. Let f be q(-1). Calculate the greatest common divisor of 1164 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03959581 rounded to three decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -66744 >= -66745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**2 - 29*a + 30. Let y(h) = -14*h**2 + 49*h - 60. Determine 5*b(q) + 3*y(q).\nAnswer: -7*q**2 + 2*q - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97522664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42843215 rounded to 2 decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -11*h + 65. Let i(b) = -31*b - 10 - 8 + 21 - h. Let p(a) = -a. Give p(i(c)).\nAnswer: 31*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 281 + -6743\/24. Let h = 4588\/99 - 423\/11. Calculate the common denominator of f and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Let q = 9 + -5. Let t = q + -4. What is the nearest to -2 in s, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 5*w**2 + w**2)*(-1 + 1 + 1) + (w**2 + 0*w**2 + w**2)*(-4 + 1 + 1) + 2*w**2 + 2*w - 2*w + 3*w**2 - 4*w**2 + 0*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 5029908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m = 4*r + 95 + 87, 8*m - 11*m + 4*r + 5 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, -7777\/2, 25?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/36*136\/(27 + -10). Let v = -1.2 + 2.5. Let s = v - 0.8. Which is the second smallest value? (a) -1 (b) h (c) 0.4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121 + 123. Let j = 95 + -69. Solve p*i + 5*q = -2*i - j, -2*q = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.9 + 0.1. Let g = p - 26.1. Which is the closest to g? (a) -0.2 (b) -1\/4 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 - 2*h - 1. Let v be g(-1). Let l(b) = 3*b. Let m(i) = 5*i - 1. Let f(k) = 7*l(k) - 4*m(k). Is 10 a factor of f(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((132\/(-8))\/3)\/(1\/(-2)). Suppose -27*p = -a*p - 1009808. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26 + -1)*(-2)\/(-2). Suppose 3*x + l = 6*x - 25, 5*l = o. Solve x = -2*h + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6)*50 + -2. Let s = -10 + t. Let i = -8 + s. Solve 2*b - 24 = -i*l, -b + 4*l - 3*l - 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224279031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5427.999993491 + 5428. Round b to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let d = 10.68 + -8.68. Which is the closest to s? (a) d (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 12*j**2 - 7*j - 20. Let f be a(11). Suppose f*y = 21*y + 501. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8793059.6 rounded to the nearest 100000?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -103*y**3 + 3*y**2 - 2*y. Calculate q(1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -67, -114, -171, -238?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 231, 217, 205, 195, 187, 181?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.1574 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 4 + 2 + -5. Let s = -3 - -5. Put 3, s, x in decreasing order.\nAnswer: 3, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (0 - 24) - (6000 - 5997)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 26.7. Let m = -5 + 2. Let d = m - -2.5. Put 1, d, j in decreasing order.\nAnswer: 1, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 9. Let p be c(-2). Let l(u) = -p + u**2 - 1 - 12*u**3 + 5*u - 4*u. Does 12 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 129 + 107 = 0. Calculate the remainder when 292 is divided by q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53.2 * 0.0725\nAnswer: 3.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 30558.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67.5 + -144.8. Let x = -77 - u. Put 2\/9, -0.4, 3\/5, x in decreasing order.\nAnswer: 3\/5, x, 2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**3 - h**2. Let g(k) = -4*k**2 + 22*k**2 - 7*k**2 - k**3 - 10*k**2. What is g(x) + j(x)?\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171 + 302. Suppose p + 28 = 3*i. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4*f + (0*f + 4*f - 5*f)*(1 + 6 - 5) + 3 - 3 + 2*f - 2*f + 8*f + 0*f)*(-16 - 3*f - f**2 + 6 + 9).\nAnswer: -2*f**3 - 6*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64404 and 567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 162*c**2 - 75*c + 1. Let w be n(5). Suppose -5*r - 921 = -w. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 129*s - 1229. Give q(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*x + 14 + 838*x**5 - 837*x**5 + (-2 + 2 + 2*x**2)*(2*x**2 - 2*x**2 - 4*x**3).\nAnswer: -7*x**5 - 2*x + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*b + 26 = 74, b - 13 = -c. What is the remainder when 21 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**2*z**3 + 20*s**2 - 50*s*z**2 - 2787*z**3 wrt s?\nAnswer: 2*s*z**3 + 40*s - 50*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 69982800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 5*b - 5. Give g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = -5*w, 2*w - 4*w + n - 5 = 0. Solve w = 4*f - 0*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 8 = v. What is the remainder when 143 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*l - 54*l + 12 + 4*l + 52*l.\nAnswer: -155*l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5\/7 + 52*a**4\/7 - 380*a**3\/7 - 1690*a**2\/7 + 381*a\/7 + 234 = 0.\nAnswer: -3, -1, 1, 13, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvjvj. What is prob of picking 1 j and 2 v?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86853 = 259*u + 937*u - 699*u + 1206*u for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*n + 30*n. Suppose 38 = 4*f + 22. Solve -f*j - j = n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 2*l + 187760000. What is l rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 1058144?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (10 + -5) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-36)*((-87120)\/(-54))\/55?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*v + 2764*v + 1809*v.\nAnswer: 4311*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 112*q + 58794. What is g(311)?\nAnswer: -3095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 247392 and 201006?\nAnswer: 3216096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 1232. Find the common denominator of k\/(-864) + (-72)\/(-54) and -35\/16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 3*i + 2*i - 6*i to o*i + j and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*f = -27, -3*f = 3*d - 2*f - 27. Let h = 5 - 1. Suppose -5*j + 1 = -h. What is the highest common factor of d and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 42 = 10*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 67 = 49 - 38. Solve 19 - 24 = 5*q + y*g, 2*q = -2*g - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.7 (b) -1\/9 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Suppose 0*i = 2*i - 8. Suppose -7*a + i*a + 18 = 0. List the prime factors of x(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*m + 3 + 21*m - 814*m**2 - 3*m - 4*m to p*m + x*m**2 + f and give x.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 115 + 3 - (1 + 2 + 109 + -106)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 4, 1, 1570 in decreasing order.\nAnswer: 1570, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 1b2?\nAnswer: 1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 7, k: 4, g: 3, x: 1}. What is prob of picking 2 g?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 336 - 984 = 0. Let k = 125 + j. Sort -5, -4\/5, k.\nAnswer: -5, -4\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2 + 4924620*j - 4924616 = 0. Calculate j.\nAnswer: 1, 1231154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6*x - 126. Let k be w(-15). What is the highest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 6. Let o(p) = -7*p**3 - p**2 - p. Let n be o(-1). Let f(v) = -14*v + 7*v + n + 0*v + 11*v. What is 5*a(l) + 4*f(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 4 - -51 - 9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhurbh. Give prob of picking 2 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= -2336\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7973885 - -13293885. Round w to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - (58 + 5))\/(-1 + 0). Suppose 53*t + 12 = a*t. Solve -3*o + t = -5*i + 19, -4*o = 2*i - 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-15) - (-106)\/6. Which is smaller: o or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -1. Solve -31 = 4*z + 3*c, c + b = -0*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 30*o**2 + 3*o. Let g(j) = -j**2 + j. Give 4*g(p) - w(p).\nAnswer: -34*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75107010?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.244 - 1?\nAnswer: -1.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -23.2?\nAnswer: 371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -12*q**3 + q**2 + 3*q + 3. Let u be j(-1). Suppose -d - 18 + 5 = -3*t, 4*d + u = -t. Solve 5*l = -5*w - 15, -t*w = 5*l - 0 + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 43185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -20ecd?\nAnswer: -20ed0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 6\/351*9 + (-2076)\/(-26)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004765 to seven dps.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2215645726 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 201305*m - 10. Calculate i(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4671\/5 - -935. Factor 0 + t*x**2 - 8\/5*x.\nAnswer: 4*x*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 747 and 70716?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-7)\/((w\/(w*w**(4\/5)))\/w))\/(w**(-1)\/(w\/w**3)))**(-42))**14 assuming w is positive.\nAnswer: w**(18228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138951 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -312. Suppose -103 = -3*i - 2*r + 100, -5*r - b = -3*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -94. Let v be 7\/(((-2)\/(-3))\/(5 - f)). Suppose -87 = -6*z + v. What is the highest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s + 19. Let n(p) = -p + 15. Let u be n(8). Let m(i) = 4*i + 0*i - 16 - i + u. Calculate 9*m(k) + 4*r(k).\nAnswer: -k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 57. Suppose -7 + 5 = u, h + 2*u - 43 = q. Calculate the remainder when h is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 124928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12502559 is divided by 23724.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40146683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 430*k - 3436. What is the ten thousands digit of i(52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-5)\/(10\/(-6)) - -1. Suppose 3000 = i*z - z. Suppose 0 = 4*t - z + 30. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000107914 to seven decimal places.\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -9\/458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18983\/37 + -513. Which is smaller: 124 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 9*t = -t. What is the closest to t in 0.5, -1, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5404 (base 8) in base 4?\nAnswer: -230010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(125)*2 + -1)**2.\nAnswer: -20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*w + 0*w = -25, -5*f - 2*w + 5 = 0. Suppose b - 12 - f = 3*h, 4*h + 20 = 0. Let o = -1\/410 + 1649\/3690. Is o smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, o: 2, n: 2, m: 7, j: 7}. Give prob of sequence mtnm.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.685838g to nanograms.\nAnswer: 8685838000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 + h - 1. Suppose m = 6*m + n + 1, 5*m - 5*n = 5. Suppose -3*w + x + 4 = -m*x, 0 = 3*w + 5*x - 16. What is k(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/((-5)\/135). Suppose i = -5*l - c, -l + 5*l = -c - 8. Is 1\/(1\/26) + l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 3*r**2 + 3*r - 2. Let l be q(-4). Suppose l*v + 6 = 5*v. Find the third derivative of 3*k**v - k**2 + 0*k**2 - 2*k**3 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 7*j**2 + 10*j - 26. Let g be i(6). Suppose 0 = -5*k + g. Solve -m = -x + 1, 5*x - 5 + k = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2317*m**4 - m**2 + 3*m**2 - 2301*m**4 + (98 - 98 + 14*m**2)*(2 + 2*m**2 - 2) to t*m**2 + d + c*m + g*m**3 + q*m**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 758 - 758 - 5*q**2 - 54*q**3 - q wrt q.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(((w**(-5\/2)\/w)\/w)\/w*w)\/w)\/(w*w**(-5\/4))*w*w\/w**(3\/10)*w\/(w**9*w) assuming w is positive.\nAnswer: w**(-231\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*o + 6. Suppose -4*s - 9 = -169. Suppose i - 2*i + 30 = -5*r, -3*i + o*r = -s. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x. Let d = 8 + -15. Let t = d - -12. Let r(j) = 7*j. Suppose 4*n = -b - 6, 0 = 15*b - 14*b - 5*n - 21. Calculate b*r(u) + t*h(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 + 209. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792.351 kilometers in nanometers?\nAnswer: 2792351000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7344 and 1632?\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 22*c**2 + 20*c + 24. Let w = 688 + -667. Determine t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7411217 to the nearest integer?\nAnswer: 2722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/r*r\/(r*r**(1\/4)))**(-1\/24) assuming r is positive.\nAnswer: r**(-5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2. Let b(i) = -7*i - 130. What is b(q(m))?\nAnswer: -7*m**2 - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 9*v**2 - 19*v - 7. Let f be c(-5). Calculate the common denominator of -29\/21 and (670\/55)\/(f\/(-2)).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -13*w**3\/3 - 4. Let x(c) = -115*c**2 + 239*c**2 - 122*c**2. Give x(g(d)).\nAnswer: 338*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517554744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3\/3 - 27. Let o(v) = -2*v**2. What is p(o(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80088 - -80088. Let u = 0.06 + 4.94. Which is the smallest value? (a) p (b) u (c) 15\/8 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10237, 1, 3 in decreasing order.\nAnswer: 3, 1, -10237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -1 (c) 2 (d) 7 (e) 1\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4142 is divided by 180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6 = 0, -5*t + 3 = 4*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*i = -1107, -5*i + 25 = -0*i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -62?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -18*s - 287. Determine h(-13).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 637 + -1025.2. What is s rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-12)\/6 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:02 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, 0.1, 331\/3.\nAnswer: 0.1, 0.15, 331\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 1074, -19, 3\/8, 0.064?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2236, -1283, -6, 3 in descending order.\nAnswer: 2236, 3, -5, -6, -1283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/565058464 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -3. Suppose -125 = t*c + 160. Is (-9400)\/(-6) - (1 - (-20)\/c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8184?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 + -3.15. Which is the nearest to 3\/7? (a) v (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1428\/210)\/(2\/85). Let r = w - 289. Solve 5*d = -x + 6 - 30, r = d - 5*x + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*c - 14. Suppose 3*d + 0 - c = 0. Let l be 105\/(-120)*-8 - 3. Sort 2, d, l.\nAnswer: d, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 1809 + 20352*g - 1809.\nAnswer: -2*g**3 + 20352*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/3, 1\/10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (12 + -8)) + -6 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4) - 105\/3. Is (-5)\/l + (-888)\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 426*t - 62622. Calculate k(147).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 v when three letters picked without replacement from vbvbbbvbvvbvvvbbbbbb?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1393 rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 28*n. Let b(h) = -3*h - 4. Let s(u) = 20*u + 30. Let q(z) = -15*b(z) - 2*s(z). Give o(q(x)).\nAnswer: 50*x**2 + 140*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/379 not equal to 1022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -12765?\nAnswer: 12770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-4) - 65\/(-52)) + (-2)\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 39 = -5*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11513*z. Let x(u) = 3*u**2 + 2. Calculate x(j(m)).\nAnswer: 397647507*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-189)\/(-39) + 4\/26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -13) + -13 + -8 - (-36 + -1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eweeeeeeeewewwewew. What is prob of sequence weww?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 475, 405, 289, 127?\n\"Answer: -23*l**2 - l + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 9 - 4*v + 2*v)*(-331*v + 1367*v - 35*v - 463*v) to the form q*v + p*v**2 + w and give p.\nAnswer: -1614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/10563361 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - z + 963, -155 - 73 = t + 4*z. What is the smallest common multiple of (t\/18 + 8)*-9 and 7?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 - -a646?\nAnswer: a624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -671, -654, -637, -620?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272312.\nAnswer: 2, 34039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15095033*u - 169711300.\nAnswer: -15095033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*s**6 - 88*s**6 + s - 596 - 1515*s**2 + 596 wrt s?\nAnswer: -6480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701369 is divided by 1024.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150291654.\nAnswer: 2, 3, 79, 317071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23914 take away 0.12?\nAnswer: -23914.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 257\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from eetwefw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c4 (base 13) in base 16?\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-51) + (-32612)\/(-116246)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22400000 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-22 - -36 - 26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33.8 - -31. Let q = -2.79999956 - a. What is q rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 4*m**2 + 4*m + 5. Suppose -g = -1 - 1. Suppose -5*p - l + 10 = -g*p, 3*p = -3*l + 6. What are the prime factors of f(p)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {c: 9, p: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 15 - 1 + 0 - 1 + 0 + (-2 + 5 - 5)*(-6 + 3 + 1))*(2*t**4 - t + t) - 3*t**4 - 2*t - 32*t - t**4 as b*t**2 + o*t**4 + w + d*t + y*t**3 and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 42 = 11*z - 51 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - t - f = 2, -5*t - 25 = 4*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 28*a - 6 = 24*a, 0 = 5*a + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 + 0.17. Let z = -0.18 - q. Round z to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 11. Let f = 12 - 6. Let k be m(f). Suppose 108 = k*y - y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**3 - d**2 + 8*d + 4. Let u be g(-4). Let r = -351 - u. Solve -5*p = 2 + r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (6\/(-2))\/3. Suppose -2*q = -6*q + t + 16, -q = -b*t + 7. Suppose 5*s + 3*i - q = -0, -4*s = -i - 21. Solve 0*w = -s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33058 - -33061. Factor 0 - 8\/7*c**2 - 8\/7*c + 2\/7*c**4 + 2\/7*c**f.\nAnswer: 2*c*(c - 2)*(c + 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:45 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6668 (base 14) in base 9?\nAnswer: -26282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -22. Suppose 108 = -q - 0*q + 5*g, r = q + 4*g + 63. Let y = 534 + q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/(-3)*(-44)\/(-840) and 13\/147.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 2*u. Let o be h(2). Suppose -3*k + 10 = o. Let c be 4\/(k*3\/9). Solve -5*b - c = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/46256 and 85\/3136.\nAnswer: 185024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1671 is divided by 1091?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 90*h + 81*h - 49 = 0, -2*h - 15 = 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4987448 is divided by 2493384?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 606, 531, 404, 225, -6, -289?\n\"Answer: -26*x**2 + 3*x + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*d + 2*l + 3*l, 2*l = -3*d + 12. Calculate the lowest common multiple of d and (8\/19)\/((-1128)\/(-10716)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55, 828, 2945, 7078, 13899, 24080, 38293, 57210?\n\"Answer: 112*p**3 - 11*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times -11.22?\nAnswer: 17.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -0.2214111\nAnswer: -4.428222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 2, x: 1, n: 2, a: 1}. Give prob of picking 1 b, 1 n, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-13)\/b)\/b)\/b*b*b*b\/(b\/((b*b*b*b**(-6)*b)\/b))*b*b**(1\/20)\/(b*b*b\/b**(1\/11)) assuming b is positive.\nAnswer: b**(-3929\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3920\/3360*-6*2\/63?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1124 + 1124. Is f bigger than 18\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87165813 divided by -12452259?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3256*a - 3255*a = -3*y - 20, 4*y + 20 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 660 + -659.6. Which is the nearest to -1\/2? (a) -3 (b) 17\/3 (c) n (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108.0758319 to the nearest integer.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*60\/(-80)*1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 + 31*n - 2. Let c(b) = b**2 - 11*b + 1. Let a(j) = 2*c(j) + y(j). Let o(f) = -3*f - 8. Give a(o(p)).\nAnswer: -9*p**2 - 75*p - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38.016 + -38. Let k = g - 3.016. Let l be (2\/(-8))\/(1\/6). Which is the closest to -0.08? (a) -1\/10 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4559 - -4558.8. Let d = -0.6 - -1. What is the third smallest value in -3, 5, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83.71 in -0.3, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - t)*(3*t - 2*t + t) + (18 - 18 + 16*t)*(0 + 0 - t) - 4*t**2 + 0*t**2 + 3*t**2 to c*t**2 + w*t + x and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1111011210202 (base 3) to base 15\nAnswer: -1094b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 571 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60183452*d - 102587211 wrt d?\nAnswer: 60183452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.8298422 rounded to three dps?\nAnswer: -15.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -250*u**3 - 2*u - 35?\nAnswer: -1500*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9*m + 3*b - 6071 = 0, 4*m - 5*b = 4879. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5226751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 3 + 16 + 25 - 22 - 16.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 427 and 4087.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3835920 is divided by 508.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 861*h**5 - 86964*h**4 + 2752920*h**3 - 24543786*h**2 - 60702837*h + 211806 = 0. Calculate h.\nAnswer: -2, 1\/287, 21, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 16*z + 271 = -89. Let w(r) = r**3 - 16*r**2 + 14*r + 27. Determine w(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sspp when four letters picked without replacement from ltllplptslpspltlst.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7 - h - 6 - 3*h + 15*h. Let t be o(4). Suppose -2*s + 0*j = -j - t, s - 2*j - 24 = 0. What is the highest common factor of s and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 171475 + 4?\nAnswer: 171480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y = 21*y + 828. Suppose -y*z = -203*z - 388. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4 - -8) + 2 + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2242980*q**5 - 32523042*q**4 - 179989401*q**3\/4 - 16538607*q**2 - 7284729*q\/4 + 273\/2 = 0.\nAnswer: -13, -1, -1\/4, 14\/186915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 - j**3 + 11*j**2 + 0*j**3 + 1 - 9*j**2 + 0*j**2 to t*j**2 + w + q*j + p*j**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Let p = s + -4.85. Let u = -0.15 - p. Which is the second biggest value? (a) -1\/7 (b) u (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893809984 to the power of 1\/2, to the nearest integer?\nAnswer: 43518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62352, 249131, 560432, 996267, 1556648?\nAnswer: 2241587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 2)\/((-3)\/(-15)). Suppose 11*y = -k*y + 5*y. Solve w + 2*w + 12 = y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z. Suppose -2*g - 3*g = z. Suppose -3*v + 4*q + q - 67 = g, 5*v + 133 = 3*q. Calculate the common denominator of 145\/6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:55 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2608\/10*(-255)\/(-6). Suppose 0 = -2*y + 184916 + s. Round y to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.1223771 minutes?\nAnswer: 0.018706285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 12, 2, -5 in decreasing order.\nAnswer: 12, 2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00525398 rounded to four decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -104. Calculate the remainder when l is divided by 2*248\/32 - (-2)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(3) - (sqrt(12) - sqrt(3))))**2 + 4 + (sqrt(48))**2.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 4. Let y(m) = -6*m**2 + 5*m + 1. Let v(d) = 1 + 4*d**2 + 0*d**2 + 0 + 4*d - 9*d**2. What is c*y(i) + 4*v(i)?\nAnswer: -2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -13. Let t = p + 17.9999989. What is t rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 5*l + 17, -3*l - 47 = -5*c - 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 (base 10) in base 2?\nAnswer: -1001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -3*p**3 - p**2 + 2*p. Let m = 4 + -6. Calculate the remainder when z(m) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37037 divided by -11\nAnswer: -3367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7867 or 7851?\nAnswer: 7867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:05 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -55*j**2\/2 - 2825*j\/4 = 0.\nAnswer: -565\/22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.061 + 5.889. Let r = 6 - f. Let i = r + -0.0515. Round i to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 1, w: 2, r: 2, b: 1}. Give prob of sequence bw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.193798 and -1.3.\nAnswer: 0.2519374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 - 4 + 2489*z + 9*z**2 - 2484*z. Give o(-5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 11:11 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-9) + (-4564)\/(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**5 + 680*u**4 - 16525*u**3 - 491450*u**2 + 1085280*u + 1559520 = 0.\nAnswer: -18, -1, 3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1882, -1856, -1832, -1810, -1790?\nAnswer: -1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 6. Give u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8735417 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from xddxxdxdxddxddxdxxdd?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(162) - 3*(sqrt(162)*-1 + sqrt(162)))*-6)**2 + (-1 + (3*(-1 + sqrt(72)) + sqrt(72) - (-1 + sqrt(72) - sqrt(72))*-3))**2.\nAnswer: -336*sqrt(2) + 7033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -0.59994006.\nAnswer: 5.59994006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 83*i**2. Is s(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l\/((l\/(l*l**(-2\/5)*l))\/l)*l)\/l)\/l))**(28\/5))**(4\/39)\/(((l\/(l\/((l\/l**(1\/3))\/l*l)))\/l)**(-15\/4)*(l**4\/l)\/l**(-3)) assuming l is positive.\nAnswer: l**(-9873\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*k - 56. Is (74 - 1) + k\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214728827 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 740 = -4*a, 5*n - 20*a + 23*a = 1185. Calculate the common denominator of (6867\/n)\/(-3) + 8 and 53\/70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 272028*q**2*t**3 - q**2*t - 9*q**2 - 2*q*t + 20*q - 61*t**3 + 6*t + 21 wrt t?\nAnswer: 1632168*q**2*t - 366*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/33)\/20*-8*3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 + 3 - 3 + (b + b - b)*((4 - 4 + b)*(b + b - 3*b) - 462*b**2 - 630*b**2 + 213*b**2 + (b + 0*b - 2*b)*(b + 3*b - 3*b)).\nAnswer: -879*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-6 - -5) + 6 - (9 - 15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 - 2117?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -19*h - 2466. Calculate the remainder when 2\/5 - (-2746)\/10 is divided by t(-131).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 392*w + 41 - 57*w**2 - 392*w - 21 to x + v*w + r*w**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-25)\/(-3))\/((-7)\/6*28\/(-98)). Solve -t = 5*t - w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9276639*c**3*g - 4380*c*g - 4*c + 65*g wrt c.\nAnswer: 55659834*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 921726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9739633, -19479265, -29218897?\nAnswer: -38958529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-985)\/35 + ((-2)\/(-14) - 0). Let y = a - -32. Let w = 55 - 36. What is the remainder when w is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -2 (c) -0.01415 (d) 0.3 (e) -4\/7 (f) -3 (g) 247\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -26. Let d = 27.7 - f. Which is smaller: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 10*i**5 + 265*i**4 + 2075*i**3 + 6950*i**2 + 10440*i + 5760 = 0.\nAnswer: -16, -4, -3, -2, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 4*h + 95. Let i(t) = -t**3 + 3*t + 1. Let f be i(-2). Suppose -8*o + f*o = 0. Sort o, 5, h in ascending order.\nAnswer: o, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24914 + 24914 - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - ((2 - (17 - 10)) + (10 - 12)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 2, l: 1}. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 m when four letters picked without replacement from {m: 2, g: 5, z: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > 0.043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11007240 divided by 5503620\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -56) + 1 + 1 + -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-19))\/((-195)\/(-2470)) - -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6 - (-1015)\/(-957) - 2132\/(-451)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Suppose -2*i + 21 = -m - 1, -3*m = 2*i - 30. Suppose 0 = -0*g + 4*g + i. What is l(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -519637 + 17044. Suppose -p = -5*u - 18544. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajj when three letters picked without replacement from ajajjaajakjaaaajkkk?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824490?\nAnswer: 2, 5, 43, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 12, -6, -44, -108, -204, -338, -516?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.01, 1, 5, 22\/43, -7 in ascending order.\nAnswer: -7, 0.01, 22\/43, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 12:50 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 3*i, 0 = 4*k + 3*i - 19 + 23 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 12:15 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/48)\/((20\/(-16))\/1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4650, -16484, -35500, -61698, -95078?\n\"Answer: -3591*q**2 - 1061*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1. Let l be -2*(0 + (-21)\/(-6)) + 3. Let x(v) = v + 2. Determine l*r(c) - x(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2\/(n*n\/(n**(-3\/2)\/n)) assuming n is positive.\nAnswer: n**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 10, 5 in descending order.\nAnswer: 56, 10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f = 12. Let v(w) be the third derivative of w**6\/30 + w**5\/60 + w**4\/24 + w**3\/6 + w**2. Let t be v(-1). Do f and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463154855.\nAnswer: 5, 503, 184157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -3*b**5\/40 + 21*b**4\/32 - 7*b**3\/4 + 3*b**2\/2 - 152. Factor o(g).\nAnswer: -3*g*(g - 4)*(g - 2)*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 3. Let h be r(-6). Let f = h + -7. What is the least common multiple of 2 and (7\/2)\/(f\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -15) + 2 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 28*d + 12*d - 408 = 0. Let m(n) = -3*n**3 + 4*n**2. Let t(h) = -9*h**3 + 12*h**2. What is d*m(o) + 6*t(o)?\nAnswer: -3*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*-276\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*24104\/1310*(-10)\/28.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1421 and 145.\nAnswer: 7105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 0*c - 5\/6*c**3 - 7\/24*c**4 + 0 - 1\/12*c**5 - 1\/120*c**6 + 3*c**2. What are the prime factors of v(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + h + 2)*(2*h + 5 - 5) - 455 - 69*h**2 + 455)*(-3*h + 3*h + 2*h**2).\nAnswer: -134*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114047 divided by 2.\nAnswer: 114047\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 435 + -115. Let t = -202057 - -202097. What is the highest common divisor of z and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/13 or 8653?\nAnswer: 8653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -2, -7\/165?\nAnswer: -7\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2505326 (base 9) to base 12\nAnswer: -558273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3101 is divided by 2747.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -404, -571, -734?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 16. Let k be f(6). Calculate the lowest common multiple of 44 and 2\/k + (-178)\/(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*z - 22 = 0, 3*j + 3*z - 13 = 5*z. Suppose j = -g + 38. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -5\/4, -0.3, 2\/3, -2\/51?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 220300505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-20*h - 22*h + 12*h) to the form j*h + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/120 + k**5\/6 + 7*k**3\/3 + 5*k**2. Calculate the remainder when t(-10) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9280.969mg?\nAnswer: 0.000009280969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 26 - 22, 5*y = t - 56. Suppose 0 = -a - 1, 2*a - 6*a - 12 = -4*p. Let b be ((-81)\/y - 6)\/(p\/8). Solve -r + 1 = -2*z, b*r + 16 = r - 2*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2. Let o(p) = -9*p + 3. Let k(r) = 19*r - 7. Let t(w) = 3*k(w) + 7*o(w). Calculate t(c(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224 - 69. Let i = x - 155.000107. Round i to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.1 - 22.017. Let h = 2.083 - x. Which is the second biggest value? (a) h (b) -30 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -55*y + 8. Is q(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-26) + (-435)\/(-39) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 75.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606112 and 2197156.\nAnswer: 17577248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + -1*sqrt(208) - (-1 + -1 + sqrt(208)))**2.\nAnswer: -3428 + 320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 + 112. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-3))\/(3 + (-70)\/30)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52 + 2531 + 132109*k - 132953*k wrt k.\nAnswer: -844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 + -1 + 1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 12:56 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 7*l**2 - 8*l + 3. Let j be k(-6). Let a = 1249 - 1232. Let h = a - j. Solve -h*w - 2*w - u = -25, 2*w + 3*u = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/3 (b) -0.1 (c) 0.03 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**5\/4 + 11*f**4\/2 - 77*f**3\/2 + 100*f**2 - 421*f\/4 + 77\/2 = 0.\nAnswer: 1, 2, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 79249927, 158499843, 237749749, 316999639, 396249507?\n\"Answer: -x**3 + x**2 + 79249920*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**6\/15 - 73*c**5\/10 + 79*c**4\/2 + 689*c**3\/3 + 380*c**2 - 2*c + 6242. Let b(k) = 0. Calculate k.\nAnswer: -76, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3 - 19. Suppose 16*g = 37 + 11. What is the smallest value in r, 4\/9, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.3 or 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6947 + 6827 + 119 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 8 = -2*r. Let m(j) = j**2 + 5*j + 1. Let w be m(-5). Suppose -n + 1 = i - 0, 3*i = -4*n - w. Sort r, i, 4.\nAnswer: r, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 415568 and 2432.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 2. Let l be b(9). Suppose 8*z = 3*z - 10, 4*z + l = 2*w. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 286 - 286 + a. Let t(q) = 2*q + 3. Let g(m) = -3*m - 5. Let w(y) = 3*g(y) + 5*t(y). Calculate r(w(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 - 27*h - 1. Calculate o(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141 by 20.\nAnswer: -141\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 818664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 10064 (c) 139 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 140, 182, 44, -328, -988, -1990?\n\"Answer: -9*y**3 - 36*y**2 + 213*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 71957237?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*o - 10 = 95*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-27))\/((-5)\/(-45))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 1014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**3\/3 + 7*s**2\/2 + 15*s + 11. List the prime factors of u(-11).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200000330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23120144?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3176 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 755 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112926641*j**4 - 1443*j**2 + 19162 wrt j.\nAnswer: -2710239384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*(-6 + 16). Suppose 5*l = -5*c - 10, 2*c - 1 + h = -3*l. Suppose o - 2*k - 8 = l, o - 2*k + 32 = 5*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)\/(-7 + 64\/8). Solve 8*p - 35 + 27 = z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105165 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**5\/3 - 596*s**4\/3 - 1460*s**3 + 6204*s**2 = 0.\nAnswer: -141, -11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/3*(2\/15)\/((-21)\/(525\/10))?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 13*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a - 22*a = -426 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149187, 149202, 149231, 149274, 149331, 149402?\nAnswer: 149487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2053.4 + 2.02.\nAnswer: -2051.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324568467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/((-1)\/(-6)). Let o(p) = 6*p - 5 + 6*p + 13*p**j - 14*p**2. What is the tens digit of o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*236\/(-28) + 36\/(-63).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 2*b - 3*b)*(26 - 26 - 14*b**2) in the form h*b + z*b**2 + g*b**3 + j and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 23*z = 35. Suppose 2*b - z = 10*c - 9*c, -c - 5*b = 12. What is the smallest value in c, -8, 3\/2, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 6:28 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85277748 and 240.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -418626 - -0.137.\nAnswer: -418625.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 30*h + 14. Let g be f(-15). Suppose -23*n - 74 = g*n. Put n, 3, 74 in decreasing order.\nAnswer: 74, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 = -8. Solve 0 = n*o - 0*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*g - g - 2*b, -2*b + 24 = -4*g. Let p be (-5)\/(g\/(-2)) - -4. Suppose 7 = 3*h - 2. Solve p*x - h*x = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55.532 + -8.468. What is the second smallest value in -0.1, n, 1\/3, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 325073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 6\nAnswer: 61\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/70)\/((-2)\/(-1218154)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 7*s + 20. Suppose 20*u - s = 115. What is the greatest common divisor of u and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let z = 9 + -4. Let a(j) = j - 4*j + z*j + j. Determine m(a(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2272)\/426*(-1 + 5\/2). Let g be (18\/24)\/((-2)\/j) - -5. Solve -g*q - 8 + 0 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659040539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5930651?\nAnswer: 5930651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2\/3 - 7564*x\/3 - 110760 = 0. Calculate x.\nAnswer: -1846, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76922 divided by 2.\nAnswer: -38461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12104400 (base 5) to base 16.\nAnswer: 1b9cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:49 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*y - 480 = -193*y. Let o(x) be the second derivative of x**3\/3 + 7*x**2\/2 - 2*x. Give o(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 1. Let t be k(-1). Suppose 0*h - t = -r - h, h = r. Do 0 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 - 137. Let g = -1\/9 - -16\/63. Let d(c) = 2*c**2 - 4*c + 1. Let y be d(2). What is the nearest to y in g, n, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*35\/(-65)*-7 + (-38)\/(-247).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*d = 18295 - 2389 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b*b**(-6\/7))*b)\/((b*b*b\/(b**(-2\/9)\/b))\/b))\/(b**(-4)\/b**(1\/4)))\/((b\/b**(-6))\/b**11)**0 assuming b is positive.\nAnswer: b**(979\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**2*x**3 - 2*s**2*x - 2970106*s*x**3 + 45*s*x**2 + 29860*s*x wrt x.\nAnswer: 18*s**2 - 17820636*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*d**2 + 2*d**3 + 7*d - 8*d + 0*d**3.\nAnswer: 2*d**3 + 406*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x + 2*x - x + x**2 - 5*x. Let z(p) = p + 2. Let j be z(0). Let f(m) = -2*m. Let n(r) = j*l(r) - 11*f(r). Let t(g) = -5*g**2. Determine n(t(a)).\nAnswer: 50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3033 divided by -11349?\nAnswer: 337\/1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 5 - 5)*(-39 - 39 - 20).\nAnswer: -392*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3796?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 96, 5\/2, -4, 0, 2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5\/7 + 90*z**4\/7 + 662*z**3\/7 + 414*z**2\/7 - 3184*z\/7 + 288 = 0. Calculate z.\nAnswer: -36, -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 46 = -114 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 3. Calculate the remainder when u is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 6. Let h(o) = 5*o - 14*o + 7*o - 7 + 0*o. Let g(y) = -y**3 + 11*y**2 - 18*y + 5. Let r be g(9). Determine r*h(l) + 6*x(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 11. Let k be f(5). Suppose -n = 5*j - 32, -n - 3*j - k + 30 = 0. What is the remainder when 54 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1410.63 * -21\nAnswer: -29623.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -506, -2128, -4830, -8612, -13474, -19416, -26438?\n\"Answer: -540*j**2 - 2*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 9*g - 19*g**2 + 4*g - 11*g**2 + 4*g to the form b + j*g**2 + p*g and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-12))\/(1\/(-3)). Let q be (0\/(-2 - -3))\/d. Factor 0*y - 4*y**2 + 4*y**4 + 8*y + q*y**4 - 8*y**3.\nAnswer: 4*y*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-3 - -4))*(-1 + (-5)\/(-1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/13)\/l*l*l*l*l*l*l*l)**(1\/11)\/(l**(7\/3)*l**(10\/3)) assuming l is positive.\nAnswer: l**(-197\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -17. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -569 - 777 = -241*m + 100. Let x(h) = 23*h + 23. What is x(m)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**4\/4 + 11*n**3\/3 + 13*n**2\/2 + 8*n - 4. List the prime factors of y(12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11237\/2 - 5619. What is the smallest value in l, -3\/4, 6317?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181*u - 78559 = 53713 for u.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Suppose 4*b + 25 = -q*i + b, -4*i - 54 = 2*b. Suppose 456 - 755 = 23*h. Is i not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*s**2 - 203979*s + 14999500?\nAnswer: -8*s - 203979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -94*w - 370. Calculate the remainder when 195 is divided by f(-5).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmal. Give prob of sequence lml.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -194 - -692910?\nAnswer: 692716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.054 in -2, 6\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*y + 116 + 121 - 364 + 123 + 0*y to the form r*y + l and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -51. Let j = 18 + z. Suppose 0*g - 4*g = -j. What is the remainder when 45 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h + s = -36*h + 3, 5*s - 28 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 2)*(-10)\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {d: 7, a: 5, p: 2, v: 1, q: 1}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 43 + -1 + (0 - 0). What is the remainder when 52\/65*(2 + 302\/4) is divided by 7\/u + 250\/12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462626 (base 7) in base 9?\nAnswer: 135315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10 - k**3 + 20*k - 9*k**2 - 27*k + 2*k**3. What is the hundreds digit of d(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 31842 - 9348. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(33)*4)\/(sqrt(432)*-4 - sqrt(432)))**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 374*g + 2243. Let k be r(-6). Sort 2, -0.2, 3, 1, k.\nAnswer: k, -0.2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**4 - 4*i**4 + 0*i**4 + (-2*i**4 + 2*i**4 - 2*i**4)*(3 - 2 + 0) + 0 + 0 - i**4 + 2*i**4 + 2*i**4 - 8*i**4 - i**4 + 2 - 2.\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1386)\/36*(-100)\/35. Calculate the greatest common factor of l and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {y: 9, m: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v + 5. Let m = -15 + 4. Let r = 20 + m. Calculate the remainder when j(7) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4081 divide 1250071515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 6*v + 1. Suppose 0 = -4*l + 3*p + 2, 4*l - 4 = p + 2. Suppose -r + 1 = -0*r, 5*f = -l*r + 22. Determine i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1410 by -2809.\nAnswer: 1410\/2809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -2. Suppose -p = q + q. Let k be 3\/(-18)*q*10. Solve 10 = i - 5*g, -3*g - 4 + k = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:21 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 10999.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-4))\/((-38)\/209).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 3111 = -279. Let x = t + -96. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 6. Let i(a) = -2 + 2*a - a + 2*a - a**3 - a. Let h be i(2). What is d(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.59325387 rounded to four decimal places?\nAnswer: 2.5933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 51837376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -57672*f**5 + 371637*f**4 - 95946*f**3 - 371709*f**2 + 153618*f + 72 = 0. Calculate f.\nAnswer: -1, -1\/2136, 4\/9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -22. Let a(x) = 6 + 6 + z*x - 19*x + 7. Is a(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87\/(-58)*7\/(378\/(-4))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 5*g - 15, 3*z - 3*g - 30 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, o: 2, p: 1, c: 5, j: 2}. What is prob of picking 1 o and 3 s?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*w - 3*y, -3*y + 1 + 1 = -w. Let q(d) = d**3 + 7*d**2 + 8*d + 15. Let s be q(-6). Put w, 4, s in ascending order.\nAnswer: w, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2128.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and 0.011625 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 32. Let q be h(-14). Suppose 0*m + 6 = t + m, -2*m = -6. Solve t*u - 1 - 7 = w, -5*w - q = -4*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*z**2 + 458*z**2 - 164*z**2 - 3 + 2*z**2 + 3 + (-2 - 4 + 4)*(-2*z**2 + 1 - 1) + 2*z**2 + 0*z**2 - 3*z**2)*(4*z - 4*z - 2*z)*(-4*z + 4*z - z).\nAnswer: 376*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcx when three letters picked without replacement from cczcccxxccxcxc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = -176 - 4. What is the units digit of ((-25)\/k)\/(1\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -18*m**2 - 5*m + 7. Let c(w) = 37*w**2 + 11*w - 15. Let b(s) = -6*c(s) - 13*i(s). Let d be b(-1). Calculate the greatest common divisor of d and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**(-5)*(c**1*c)**27 assuming c is positive.\nAnswer: c**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.86 - -231045899?\nAnswer: 231045912.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syttxxtt. What is prob of sequence yt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**4\/12 - f**2. Let s(x) be the first derivative of 0*x - 5\/3*x**3 + 0*x**2 - 175. Determine w(s(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-150)\/(-54) - (-2)\/9. Let d = 20 - f. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282 - -286. Calculate the common denominator of 29\/56 and (-3 - -3 - q) + 38\/(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1662 + -1658. Solve -3*t - 1 = -k*h, 0 = 3*h - 2*t - 2*t + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4960, -4978, -4996, -5014?\nAnswer: -5032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppppppqpppppp. Give prob of picking 4 p.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*d - 9*d - 770 = 28*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 + 1.9. Let p = 260.9 - 265.9. What is the closest to u in -0.1, 5, p, -4\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9343718 is divided by 274815.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 5*k**2 - 2*k - 6. Let l be t(-5). Suppose -l*x = 3*w - 19, 2 = -x - 4*w - 3. Calculate the highest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 5.34.\nAnswer: 5.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11664957305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1916274 + 958029 - 2*l + 958105.\nAnswer: -2*l - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1947 = -3*g + 3*m - 1926, -g - 2*m = -7 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 140\/(-8)*28\/(-70). What is the nearest to x in -5, 4, 3, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 6350 = -96392 - 12808. Is o a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 6*k**2 - 6*k + 3. Let w be y(-5). Suppose -4728 = -0*t - w*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6155 or 2875?\nAnswer: 6155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 18*w - 75. Let f be q(12). Suppose -2*a - 5*j = -1, -a + 4*j - 5 = 1. What is the second smallest value in f, a, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -523*n + 5231. Let m be c(10). Solve 3*w = 2*h - 11, -17*w = -18*w + 2*h - m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) 22 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, a: 1, o: 1, e: 3}. What is prob of picking 1 d and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Let a be (-18)\/(-15)*15\/6. Let k be c(a). Suppose l = k*l - 95. Round l to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/21, 0, -2\/11?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -361119, -361145, -361171, -361197, -361223?\n\"Answer: -26*u - 361093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20971*x = -20969*x + 12, 0 = -l - 5*x - 31 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -8)\/1407*(8 - 1)?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 3*p**2 + 2*p + (0*p - 3*p + 6*p)*(6*p - p - 4*p) - 9*p**2 - 44*p**2 + p**2 as v*p**2 + h*p + u and give v.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 880879243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2\/(-5))*((-49489)\/605 - -91).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 62*s - 68. Let l(a) = -63*a + 68. Let d(w) = 3*l(w) + 4*v(w). List the prime factors of d(8).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (146\/1314)\/((-1)\/54*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3456 + 4072. What are the prime factors of m?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 281 + -841\/3. Let f = 63\/2 + -319\/10. Sort 1, s, f, 5 in ascending order.\nAnswer: f, s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 17. Let n(m) = 3*m**2 + 5*m. Let u be -1*(-1 + 2) + 5. Let d(i) = -4*i**2 - 6*i. Determine j*n(y) + u*d(y).\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 525 or 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/16*15*4\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775491.\nAnswer: 1775491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 9. Let a(f) = 32 - 13*f + 15 - 82. Determine 4*a(j) - 18*k(j).\nAnswer: 2*j + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 2. Let c be 3\/6 + (-18)\/w. Suppose -5*k - 21 - 14 = -c*o, 0 = -k. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 221*q**8\/168 - 25*q**4\/6 - 17*q**3\/6 - 8*q**2 + 119. What is the second derivative of p(x) wrt x?\nAnswer: 8840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -558*f + 6775. Determine b(12).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 12750*n**2 + 8850060*n + 899015560.\nAnswer: 5*(n + 122)*(n + 1214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 88 = -a, 2*w - 80 = 3*a - 0*a. Calculate the highest common factor of 5461 and w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88517984\/537955 - 6\/48905. Let f = q + 9617\/66. What is the common denominator of (-12)\/(-8) + 34\/3 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671*y**2 - 174*y**3 + 671*y**2 + 12 - 12.\nAnswer: -174*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*q**2 + 0*q + 92*q**2 - 166*q**2 + 0*q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822 = -17*q - 924 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404 divided by 27?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.06*-0.2.\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112241 (base 6) in base 13?\nAnswer: ba040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17\/((-51)\/21) + (-36)\/15*(-975)\/30\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**5 + 12*k**4 + 2865*k**3 - 1229106*k**2 wrt k?\nAnswer: -360*k**2 + 288*k + 17190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6770, 6782, 6804, 6842, 6902, 6990, 7112?\n\"Answer: k**3 - k**2 + 8*k + 6762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -325015 (base 6) to base 10.\nAnswer: -27011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(441)\/sqrt(7) + -2 - (-3 + ((-3*sqrt(77)*5 - sqrt(77)) + sqrt(77))\/sqrt(11))).\nAnswer: 7 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 8) to base 2.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 64 + 61 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + k - 2. Let o = 47 + -49. Let g be q(o). Suppose -6*a + 7*a - 291 = -2*j, g = 2*j + 3*a - 297. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 4177102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 12368\nAnswer: -3\/6184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53200060 - 24?\nAnswer: 53200033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 28 = -2*f, 5*x + 5*f - 48 = 8*f. Suppose x*w = 8*w - 20. Let u(r) = -2*r + 17. Does 11 divide u(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/2 + 33*r**2\/2 + 69*r\/2 + 35\/2 = 0. Calculate r.\nAnswer: -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 406?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-5 + (-2 - (2 + -10))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 2. Let z(v) = v + 6. Let w be z(-4). Let g(x) = -x - 5. Let r be g(-6). Let q(a) = -2 + r + 0. Give w*q(m) - o(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a3 + -6?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 + a**2)*(2*a**3 + 4*a**3 + 3*a**3).\nAnswer: -9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72658377 to the nearest integer?\nAnswer: 8524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 93 - -7029?\nAnswer: 7111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (72\/(-10))\/(4\/(-20)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -10 + -4 + 12 + -2 - 8\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13176 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 10*m - 15. Let z be o(-8). Let p(s) be the second derivative of -11*s**5\/20 + s**4\/6 - s**2\/2 - 37*s. What is p(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**2 + 5*i**3 + i**3 + 3*i**2 + 9*i**2.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n - 4*v - 44 = 0, 72 = -4*n - 4*v. Suppose 4*k - 140 = -5*j - k, -3*j + 94 = 5*k. Let f = j + n. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*w**3 + 1279*w**3 - 2001*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.94 + -6. Let q = 0.0601 + d. What is q rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 16.4. What is the biggest value in -2, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 8*h - 120 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 23 = 3*d, -109*d + 7 = -104*d - 8*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)\/((-23)\/(-46)). Let h be 198\/42 + m\/(-7). Solve -5*n - 26 = -2*i + i, -h*i + 2*n + 15 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.593889l?\nAnswer: 8593.889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w + 3*w - 2*w)*(-1 + 1 - 2) + 0*w + w - 3*w)*(1 + 0 - 6).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 41*i**2 + 3*i - 537. Let l(b) = 2*b. Determine l(k(t)).\nAnswer: 82*t**2 + 6*t - 1074","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 11.1. Let m = r - -0.17. What is m rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.4 + -1.4. Let p = -4 + v. What is the closest to 3 in 1, p, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326.7163731 + 3449.\nAnswer: 3775.7163731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 792*d + 792*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 6. Let d be f(4). Let b be 434*(d + 0)\/(-4). Calculate the highest common factor of b and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 4, 13459, -1, 0 in descending order.\nAnswer: 13459, 4, 0, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/3 - 13432*o**4\/3 + 7521918*o**3 - 15025932*o**2 = 0. What is o?\nAnswer: 0, 2, 3357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m**2 + 19*m + 48. Let u(o) = 11*o**2 + 20*o + 48. Let c(h) = 4*l(h) - 5*u(h). Factor c(x).\nAnswer: -3*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 4*n - 2*q, 3*q - 45 = 3*n - 255. Suppose 0 = n*g - 66*g + 15. Is g bigger than -10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 116 - 47 = t, 2*y = -2*t + 158. Let j = -22 + t. What is the remainder when j is divided by -2 - 40\/(2\/(-1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -18, 5, -1, -3 in decreasing order.\nAnswer: 28, 5, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.2 + 3.8. Let j(m) = 9*m**2 + 7*m**3 + 2 - 8*m**3 + 8*m + 2*m**3. Let f be j(-8). Which is the biggest value? (a) 0.5 (b) p (c) f (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 469406 = 5*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14888, 14875, 14862, 14849, 14836, 14823?\n\"Answer: -13*j + 14901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.42 - -171.58. Let g = q - 177. Suppose 0 = 5*n - j + 7, 2*j + 1 = 2*n - 1. Which is the third smallest value? (a) n (b) 3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 11\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.0063019 milliseconds in hours?\nAnswer: 0.00000222397275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (0 + 23 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(sqrt(84) + sqrt(84)*1*-2)\/(-1*sqrt(112)*-1).\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 224 = 30*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1582719684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 37 = 3*i, -3*i - 2*i = 4*c - 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3220860 is divided by 44.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5000106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2534 or 2532?\nAnswer: 2534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -29a317?\nAnswer: 29a317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2 + 2)*(2 + 1 - 2)*(-13 + 13 + 83*d).\nAnswer: 83*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1, 6, 10.\nAnswer: -1, 1, 5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/15)\/((-4)\/(-60)). What is the hundreds digit of (3 - -11)*45\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 7*b + 83*t - 6*t = 30, -4*t - 30 = -5*b + t for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-35) - (-20)\/(-25)*144\/192.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25206 or 25208?\nAnswer: 25208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/63*6\/(-4))\/((-3599)\/97173)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 10484718\nAnswer: -10484728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -104213, -5 in ascending order.\nAnswer: -104213, -12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)*y\/(y\/(y*y**(2\/25))))\/(y*y**(-2\/3)*y\/(y\/y**(-2\/11))))\/(y*y*y*y**1*y*y**1)**32 assuming y is positive.\nAnswer: y**(-314443\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b6d7 + 1e?\nAnswer: 2b706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/11))**(-19)\/(y**(-8\/5)*y**(3\/8)\/y))**(-46) assuming y is positive.\nAnswer: y**(12443\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 17273\nAnswer: 5181.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 143*d - 1419. Let z be y(10). What is the highest common factor of 10252 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*sqrt(66)\/sqrt(3))\/sqrt(11) + -4)*-2.\nAnswer: -6*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85325.\nAnswer: 5, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.48 < 1\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3958\/9 less than -441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 84*y**2 + 3*y + 1. Is b(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3\/5 (b) 0.4 (c) -2\/13 (d) -4 (e) 11 (f) -1938\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*y - 90*y = 2560. Calculate the remainder when 3542 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 2*v**2 + 3*v + 1. Suppose 11*a = 6*a. Suppose a = -b - 3*k - 12, 2*b - 3*b = 4*k + 17. Calculate o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -7. Let c be ((-9)\/6)\/(v\/30). Suppose -8 = -c*b + b. Solve 1 - 3 = b*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p, -4 = 2*b + p + p. Let m = b - -10. Suppose 0 = 2*c - m*c + 30. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17d - 1785?\nAnswer: -1607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -18*t + 2. What is o(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -901 (c) -0.31 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61818?\nAnswer: 2, 3, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4540 = -236. Suppose -117*o - f = -120*o. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 159?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -18 - 3*z + 37*z**2 - 4*z + 24*z**2 - 5*z. What are the prime factors of g(-5)?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 112*r + 91*r.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, 1865, 0, 5, -4 in decreasing order.\nAnswer: 1865, 23, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552 = -5*x + 613. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 7. Let x(l) = -l**3 + 3*l**2 + 2*l + 2. Let o be x(3). Suppose 4*g + o = 0, 0 = -3*b - 2*g + 1 - 17. Give y(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28130*x**3 + 986*x - 986*x + 27674*x**3.\nAnswer: -456*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - k - 5. Let h(m) = 5*m**2 + 9*m + 10. Determine -4*h(u) - 9*r(u).\nAnswer: -2*u**2 - 27*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyzenyzzkz. Give prob of sequence zk.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 13*n - 2 + (-6*n - 12*n - 4*n)*(1 - 3 + 0) to h + t*n and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 205728239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1700) + 0 + 1).\nAnswer: -60*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*i + 18 = 0, -3*a - i + 5 = -22. Is (180\/(-8))\/a*1676\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(7\/8)*f)\/(f*f\/f**(-7)*f) assuming f is positive.\nAnswer: f**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**5\/10 - 2*n**4\/3 - 55*n. Factor z(x).\nAnswer: 2*x**2*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 7*u**2 - 14*u - 28. Let v be ((-31)\/18 - 64\/(-288))*6. Let s be o(v). Calculate the greatest common factor of s and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 1. Let z be j(4). Let i = -7.3 + 7. What is the nearest to -1 in i, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -836*t**4 + 8410*t**3 - 6352*t**2 - 14698*t + 900 = 0?\nAnswer: -1, 25\/418, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -451230 divided by -2\nAnswer: 225615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 85058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkzakzkkh. Give prob of picking 1 h and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q + 17*q + 2346 = 0. Suppose q*w - 139744 = 19*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*t + 41 = 60, -c - 15 = -4*t. Solve 0 = -4*i + 2*f - 6, c = -3*i + f + 4*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/((-52)\/6 - -4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 227 and 20?\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1576*n**3 + 3*n**2 - 347 wrt n.\nAnswer: -9456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 0.1, 29.2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 1, p: 2, y: 2, n: 4, t: 1}. Give prob of sequence qpqt.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*x - 8 = -30, -6*x + 12 = 3*j. Solve -3*v + 6*v - j = 3*b, -7 = -2*v + 3*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*10\/(-90)*12\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = -0*h - 29904. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 75*u + 74*u + 29, 0 = -5*t - 3*u - 49. Which is the closest to -3\/2? (a) 1\/2 (b) -2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21 = 3*y, 0 = -4*y + 3*y - 5*l + 5. Let x = -6 - y. What is the second biggest value in 0.3, 1, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*x**3\/2 - 105*x**2\/4 + 2*x + 1.\nAnswer: -(x + 2)*(6*x + 1)*(9*x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + -57. Let h be (-6)\/(-18) + d\/(-6). Let j = h - 9. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 2*p**4 + 6*p**3 - 20*p**2 + 19*p - 6.\nAnswer: -(p - 2)*(p - 1)**3*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120221 (base 3) to base 14.\nAnswer: -98c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974972?\nAnswer: 2, 3, 164581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4637121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74\/5 of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**4 - q**3 - q. Let y(a) = 7*a**4 + 11*a**3 + 2*a**2 - a - 4. Let d(g) = -5*j(g) - y(g). Find x such that d(x) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -619 > -8051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*q + 4*g, -3*q + 23*g - 9 = 18*g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Suppose 6*p + 4 = 2*p, r - t = 5*p. Let n be -2 + r + 43\/1. Calculate the greatest common factor of n and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41816*y**2 - 41817*y**2 + 125777*y**2 - 42144*y**2 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304762323.\nAnswer: 3, 101587441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwa when three letters picked without replacement from {w: 6, l: 2, e: 3, a: 3, q: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 6*g**2 - 8*g - 3. Let n be y(-7). Let o(q) = q**2 - 2*q - 3. Let s be o(3). Suppose -5*j - n + 434 = s. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/3)\/(3\/(-9)). Suppose 159 = 3*u + c, 2*u - k*c = 6*u - 212. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29742 and 28104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.706366579 rounded to 2 dps?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20666 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.947112587 rounded to two decimal places?\nAnswer: -1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1226, 5455, 12700, 22955, 36214, 52471, 71720, 93955?\nAnswer: 119170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -375, -722, -1161, -1662, -2195, -2730?\nAnswer: -3237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:09 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -15*j + 33. Let o(w) = 15*w - 28. What is -5*m(p) - 6*o(p)?\nAnswer: -15*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -118? (a) 0.32 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/14)\/((-55)\/(-5500)*-30)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -258, -325, -436, -591, -790, -1033?\n\"Answer: -22*h**2 - h - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0148 minus 119008275?\nAnswer: -119008275.0148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -3, -5\/11, -5257 in descending order.\nAnswer: 3\/5, -5\/11, -3, -5257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4551.107 minutes to milliseconds.\nAnswer: 273066420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**2 - 2*v**3 + v - 6*v**2 + v**4 + v + 0*v**3 as n*v**2 + c*v + f*v**3 + t + a*v**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16986572 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*s - 2 = -0*s, -5*s - 5 = -2*x. List the prime factors of x\/(-25) - 96\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - (21 + (-48 - 3))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127154419*i**3 + 80592679*i**2?\nAnswer: 762926514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45872, 48645, 51416, 54185, 56952, 59717, 62480?\nAnswer: 65241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39641?\nAnswer: 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z + 18*z = -5239249. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110011111110110111001111 + 10?\nAnswer: -1110110011111110110111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 86?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.9 greater than or equal to 23520\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.9 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 399, 903, 1609?\nAnswer: 2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3*r + 19*n**3 + 11*n**2*r**2 wrt r.\nAnswer: n**3 + 22*n**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/30360 and -65\/66.\nAnswer: 30360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {f: 1, k: 2, w: 1, m: 3, b: 3, d: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.65 and -0.17.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118363 or -117487?\nAnswer: -118363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2*-3 - sqrt(76)) + sqrt(76))\/(sqrt(32)\/sqrt(32) - sqrt(4)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {t: 1, f: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -1037, -5 in ascending order.\nAnswer: -1037, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 952*k**4 - 669*k wrt k.\nAnswer: 11424*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -29\/2*j**2 - 7 + 0*j. Let t(l) = -67*l**2 + 135*l**2 - 70*l**2. Calculate t(z(f)).\nAnswer: -1682*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7489, 7491, 7479, 7441, 7365, 7239?\nAnswer: 7051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -470\/3*g**3 - g + 52 + 300*g**2 + 1\/6*g**6 + 85\/2*g**4 - 21\/4*g**5. Factor u(c).\nAnswer: 5*(c - 15)*(c - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-1*sqrt(209) - sqrt(209))*6)\/(sqrt(88)\/(sqrt(8)*1)) - ((sqrt(171)\/sqrt(3))\/sqrt(3) - (5 + (sqrt(19)*4)**2))).\nAnswer: -13*sqrt(19) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174822 is divided by 813.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven tenths of a litre?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*a**2 + 6*a**3 + 80*a**2 + 6*a**2.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*l + 20, -l = -3*d - 10 - 14. Differentiate -18 + 5 - 19*j**2 - 12*j + l*j with respect to j.\nAnswer: -38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 + 2*n**2 - n**2 + (n**2 + 3 - 3)*(9 + 13 + 8) + (11 - 11 + 3*n)*(n - n + 2*n) + 3*n**2 - 6*n**2 + n**2.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10379020 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h = -20 - 7. Calculate the smallest common multiple of 27 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -424 + 428. Suppose f*x + 399 = m, -15*x + 850 = 2*m - 10*x. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgh. Give prob of picking 1 h and 1 g.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82740912*t**2 - 95034967*t wrt t?\nAnswer: -165481824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 2. Let y(m) be the second derivative of -m**5\/20 - 7*m**4\/12 + 7*m**2\/2 + 5*m. Give -7*q(f) + 2*y(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137.1710692 rounded to the nearest 10?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7790497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*n - 1 = 0, 70*n - 74*n + 57 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 458057653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-14) + (-7)\/((-637)\/507).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/13)\/(o*o*o**(8\/15)))**(-8) assuming o is positive.\nAnswer: o**(3712\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4547948, -4547947, -4547946, -4547945?\nAnswer: -4547944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -53. Let u = 11 + -2. Solve 8*x - 12 = 2*b + 3*x, l = -b - 5*x + u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -8*f + 9*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0845322 and -16837?\nAnswer: 16836.9154678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose 2*a - 124 = -j*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70350, -140701, -211052, -281403, -351754, -422105?\n\"Answer: -70351*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -11343431?\nAnswer: 11343422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 4) to base 13.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-380)\/550*-5.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 246 = 8*c. Let w = c + -168. What is the remainder when w is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shsessessssssue. What is prob of picking 2 s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**3 + 6*l**3 - 99 - 2*l**2 + 3*l + 98 - 4*l**3 - 4 + 4 + 5*l - l**3 - 5*l + (2*l + l - l)*(-l - l**2 + l).\nAnswer: -8*l**3 - 2*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -191\/15 + 37\/3. Which is bigger: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*c, -4*c = -4*b + 144 + 604. Suppose -4*j - b = -4*q + 391, 3*q - 2*j - 432 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41768 and 0.0552.\nAnswer: 2305.5936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-23 - -28) - 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i**2 - i - 10. Let h be n(0). Let t be 4\/h*(-2 - 3). Solve t + 0 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.059048738*0.06\nAnswer: -0.00354292428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3.3 (c) 1.1 (d) -29 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1277613 (base 10) to base 14.\nAnswer: 253861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = -162*h + 139*h - 21 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*o - 367*o - 117*o to the form s + a*o and give a.\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20116, 8, -1\/2, 8\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 6:48 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdud when four letters picked without replacement from ddddjjju.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16743464 divided by 8?\nAnswer: 2092933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 r, and 1 s when three letters picked without replacement from rssnynooxsyy?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**3\/9 + 967*j**2\/6 + 991. Let o(l) = 0. Calculate l.\nAnswer: -967, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1\/4*o**4 - o**3 - 2 + o**2 + 0*o. Let a(z) = 0. What is z?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 3*v - 3, i - 1 + 6 = -5*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12*g - 4. Let j be h(4). Let c be -36 + -3*(12\/9 - 1). Let s = j + c. What is the remainder when 18 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 8:19 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2240430 and 4011?\nAnswer: 15683010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5014809999.\nAnswer: 3, 41, 13590271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101110110 (base 2) to base 9\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*z - 4. Suppose z = 5*w - 10 + 20. Let h(t) = -t**3 - t**2 + t. Let d(i) = 5*i**3 + 2*i**2 - 2*i - 1. Determine w*h(g) - d(g).\nAnswer: -3*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**5 - 4*z**4 + 1113843*z**2 - 43329586*z wrt z?\nAnswer: 20*z**3 - 48*z**2 + 2227686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5249*f**3*z**2 - 28*f**3 + 2*f**2*z**2 + 6*f**2 - 28 wrt z.\nAnswer: 10498*f**3*z + 4*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*o - 7, 56*p - 52*p - 2*o - 6 = 0. Solve -392\/3 - 2\/3*r**p + 56\/3*r = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 16 = -2. Let u(v) = 3*v + 2. What is u(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*u + 1 = 0, 4*t - 6*u - 21 = -u. Suppose -221 = -2*s + m, t*s - 137 = -2*m + 317. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 921247 and 1.\nAnswer: 921248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 6. Let c(h) = 2*h - 6. Let s(m) = 4*c(m) - 3*i(m). Calculate the remainder when s(5) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/30 and -53\/11034.\nAnswer: 55170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 8 + -31 - -11) + (1 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1513, 5952, 13313, 23596, 36801, 52928?\n\"Answer: 1461*c**2 + 56*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37 - 5?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 5*h + 1. Let j = -79 + 85. Let f be d(j). Let n be (-2 + f + -4)*1. Let u(i) = 2*i**2 + i - 1. What is u(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 12*b = 45. Suppose -4*u = q - 80, 0 = 3*u + 2*u - 3*q - 117. Calculate the remainder when u is divided by (-52)\/b - (-5 - 43\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5776.95, -15\/7, 1 in decreasing order.\nAnswer: 1, -15\/7, -5776.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyevvynznsevsv. Give prob of picking 1 z and 1 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 + 2*g + 4. Let n be t(-7). Let b be n\/(-9) - 12\/(-9). Calculate the lowest common multiple of 2 and 9 - 2*b\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 20 - 0. What is the remainder when n is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + u + 23*u + 2*u in the form i + c*u and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164531156 (base 7) to base 16.\nAnswer: abf0e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 4*q = 4*g + 747580, 5*q = -5*g - 934430. Let t be 1000*-1*g\/(-11). What is t rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(1 - 8\/10). Let t = z - 12. Let i = -23 - -31. Is t <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -481 - -504. Calculate the remainder when t is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -c. Let s be 12\/10*c\/3. Solve 7 = -m + s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246858.65 less than 0.02?\nAnswer: -2246858.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.51 + 12.39. Let y = -15.9 + i. Let r = -1\/39 + -4\/13. Which is the nearest to r? (a) y (b) -5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = 16. Suppose -m*t + 4*v + 24 = 3*v, 0 = -2*v. Suppose -u = -t*u + 35. Solve 0 = -3*f - 2*d + u, d = -2*f + 2*d + 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Let x = 123.849724 - 119.8497. Let r = i - x. Round r to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591*p - 588*p - 957 = 0. Let y = p + -4493\/14. What is the common denominator of y and 190\/744 + (-1)\/(-3)?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x - 2. Let a(s) = -7*s + 2. Let k be 2\/(-3)*(-195)\/(-10). Let w = k - -7. Give w*f(r) - 5*a(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2148, -1618, -734, 504?\nAnswer: 2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 62919, 125826, 188733, 251640, 314547, 377454?\n\"Answer: 62907*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -j + 6*j, 5 = 5*j + 3*d. Let j*u**4 - 1\/4*u**2 + 1\/2*u + 12*u**5 + 0 - 35\/4*u**3 = 0. What is u?\nAnswer: -1, -1\/4, 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234 by 2.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 788628225 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 364, -3, 5, 10, -2 in descending order.\nAnswer: 364, 10, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-3)\/(-36) - 5\/((-200)\/1434270) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 58\/32)*4510\/615.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1204 less than -1203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516 a factor of 440743536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 9*s**2 + 10*s. Let c be w(9). Let g be (4\/5)\/(2\/c). What is the greatest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3899 (b) -6 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/1318 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102101222001 (base 3) in base 14?\nAnswer: -1596c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 13*a + 8. Let y be g(8). Suppose -5*d = -10*d + 240. Calculate the greatest common factor of y and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1655, -4266, -8477, -14174, -21243, -29570, -39041, -49542?\nAnswer: -60959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736089429.\nAnswer: 3, 1171, 209533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104342120.\nAnswer: 2, 5, 107, 24379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28, -97, -376, -809, -1396, -2137?\n\"Answer: -77*k**2 + 106*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61890 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 80*k - 7. Let a(i) = 1. Give -6*a(n) - l(n).\nAnswer: -80*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 28*g**2 + 123*g - 2585. Give v(27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89580498 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410289025?\nAnswer: 5, 16411561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + -1 + 3.\nAnswer: 2 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a gram in milligrams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 394, -51742, 3 in ascending order.\nAnswer: -51742, 3, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 5\/179, 3, -207, 0.3, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11495 and 124279342?\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 7. Let d be k(5). Is d + (1 - (2 + 0)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 3*s - 42 + 21, 4*d - 3*s - 25 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {h: 2, c: 1, f: 5, r: 1, m: 2, v: 5}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30077790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 93.2, -4\/3, -971\/9?\nAnswer: -971\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 26*k + 25. Let c = 72 + -67. What is the tens digit of o(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14458057 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01676575 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 2, t: 2, h: 8}. Give prob of sequence hht.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 160? (a) 0.2 (b) 6078 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 3. Let k be g(3). Suppose 0 = -k*q + 3*q. Which is greater: -3\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10504*j - 359. Calculate k(0).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j. Let i(l) = -l**3 + 5*l**2 - 2*l + 9. Let s be i(4). Let t be p(s). Suppose 0 = 7*x - t - 87. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -357*s**3 - 1018*s**3 - 1109*s**3 - 4 - 4*s - 3*s. Let d be z(-4). Round d to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-2640)\/24805) + (-10)\/16.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 - 8*t**2 + 17*t + 6. Let q be f(8). Solve 604 = -10*j + q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-30)\/(-34))\/(-1))\/((-15)\/(-370)). Let z = g - -2446\/153. What is the common denominator of z and 115\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -55. Let v be 0\/(-4) + -11*1. Let y = u + v. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -27?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22150?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 23*w**2 + 175*w + 5. Let i be q(6). Solve -i*f - 13 - 42 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12811067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 195*q**2 - 23*q + 397. What are the prime factors of u(10)?\nAnswer: 71, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -29 (c) 9 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*b**4 + 13*b**3 + 17*b**2 - 14*b?\nAnswer: -984*b + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 116.553um?\nAnswer: 0.000116553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**8\/84 - 4*s**7\/21 + 11*s**6\/10 - 44*s**5\/15 + 10*s**4\/3 - 11*s**2 - 2. Determine w so that b(w) = 0.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64.5? (a) 5 (b) -4 (c) -2\/11 (d) 0 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -13919998?\nAnswer: 2\/6959999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + o + 2*o = -39, 5*o + 43 = 3*x. Let q = -1685 - -1678. Is x equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n + 9. Let b(y) = -4*y + 6. Let h(m) = 7*b(m) - 5*v(m). Let i be (3\/(-3))\/((-2)\/6). What is the units digit of h(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 13*s - 4. Let r be x(12). Let h = 4 - r. Sort h, -5, 50 in decreasing order.\nAnswer: 50, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {d: 8, h: 4, q: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08883282 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:28 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*w**3 - 157*w**3 + 167*w**3)*(0 + 0 - 2*w) - 3 + 3 + 3*w**4.\nAnswer: 117*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 93, 107, 131, 171, 233, 323, 447?\n\"Answer: a**3 - a**2 + 10*a + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2 + 168*d - 1611. Calculate c(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*s - 8, -2*v - 12 = s - 0*s. Suppose 3*k - k - 4*x + 18 = 0, -3*x = -2*k - 16. Which is the biggest value? (a) -0.1 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 3:22 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 490 = -2*m - 0*m, 0 = -r + 3*m + 112. Let c = r - 118. Solve -c*t + 1 = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*l**3 - 32*l**3 - 27*l**3 - 12*l**3.\nAnswer: -155*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.139719 to one decimal place.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1 + 4 - 2 + 0 - 1 + 1 + 1 - 2 + 0 + 4 + (3 + 0 - 2)*(1 - 2 + 0) + 3 - 1 - 1 + 4 + 4 - 6 - 4 - 1 + 2)*(-4*t**2 + 3*t**2 + 0 - 2).\nAnswer: -6*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -337*g**2 - 5. Let v(a) = -1007*a**2 - 15. Determine 8*k(c) - 3*v(c).\nAnswer: 325*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 8237?\nAnswer: 8237.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2968240 to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17109, -136955, -462243, -1095693, -2140025, -3697959?\n\"Answer: -17120*g**3 - g**2 - 3*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.128513314 to 5 dps.\nAnswer: -0.12851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*x - 1134 = 31*x + 74*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 + 190*x**2 - 328677*x\/2 + 1463292.\nAnswer: (x - 408)*(x - 9)*(x + 797)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -814 * -2798.\nAnswer: 2277572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001211388 rounded to 6 decimal places?\nAnswer: -0.001211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 515 + -462 + 2 + 11 + -18.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1442 - 31335?\nAnswer: -33110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(1 + 3 - 6) + 1 + 0 + 0 - 3 + 1 + 1)*(-10*w + 7*w + 12*w).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60 - 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173566*f - 157415 wrt f.\nAnswer: -173566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*f = 56, 5426*f - 5425*f + 8 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003524141 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 9 + 2*z - 3.\nAnswer: -z - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (45984\/(-7667832))\/((-4)\/(-174))\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0195 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40206235 and 10508.\nAnswer: 2627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(5*b - 5*b - 2*b**2)*(-185*b**3 + 1048*b**3 - 2*b**2 + 109*b**3).\nAnswer: -5832*b**5 + 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6391295*s**2*y**2 + 23254*s*y**2 + 123*y**2 wrt s.\nAnswer: -12782590*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3779*z**2 + 690 - 671 - 388 wrt z.\nAnswer: 7558*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*s**4 - 20*s**3 - 1179*s**2 - 5214093?\nAnswer: -60*s**3 - 60*s**2 - 2358*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 950332 divided by 86.\nAnswer: 475166\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -8\/3*u**3 - 7\/5*u**5 + 3 + 80*u**2 - 10*u**4 + 76*u + 2\/15*u**6. Determine w so that v(w) = 0.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 5*o**2 - 6*o - 2. Let c be k(-5). Suppose 4*l - c = -4*v + 40, 5*l = -v + 29. Calculate the greatest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000071175654 to 7 dps.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421323 (base 7) to base 3.\nAnswer: -10200111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*k = 142*k - 172. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -8, 6.\nAnswer: -8, -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_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: Simplify ((2*sqrt(612)*-2)**2 - (1 + (sqrt(272) - (1 + sqrt(272))) + sqrt(272))) + 3.\nAnswer: -4*sqrt(17) + 9795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + a. Suppose -3*d - 41 = 4. Let b be d\/9 + (-2)\/(-3). Determine n(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -327252 (base 8) to base 11.\nAnswer: -75918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.54 and -181.3?\nAnswer: -97.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v + 18 - 53 - 29 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3 + (1 + 2 - 1)*(0 - 1 + 0) + 11 - 12 + 2)*(-2*c - 2*c + 6*c) + 0*c + 0*c + 2*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 + f**2 + 2*f - 2. Let t be s(1). Suppose -4*m = -t*m + 75. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*y**3 - 28*b**3 + b*y**3 + 61*y**4 + 2*y wrt y?\nAnswer: 6*b**3*y + 6*b*y + 732*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtrr. Give prob of picking 2 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 1, z: 1, a: 1, m: 8}. What is prob of picking 1 h and 1 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-30))\/((-2)\/2))\/(1\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7506, 7465, 7410, 7335, 7234, 7101, 6930?\n\"Answer: -w**3 - w**2 - 31*w + 7539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 413273 != 413274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13480969.\nAnswer: 29, 59, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*g**2 + 303*g**2 + 300*g**2 - 899*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 167888*y**2 + 1761648784*y.\nAnswer: 4*y*(y + 20986)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*p = -2*p + 38, -p = 1. Suppose 0*f = 3*f + 87. Let d = c - f. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -11 (b) -41243 (c) 0 (d) -2\/21 (e) 0.1 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17224 is divided by 453.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**2 + 72*s + 640 = 0.\nAnswer: -8, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 5 (c) 2094 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2112 - 33221?\nAnswer: -31103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 >= 2\/10973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 6*d**2 - 9*d + 2. Let i(p) = -4*p + 8. Let f be i(3). Let g be j(f). Calculate the greatest common divisor of 66 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4047 + 6671. Let i = y - -1217. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 384*q - 2340.\nAnswer: (q - 390)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6893881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmmammmmam.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2502576 divided by 834192?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -32, -7, -4, -5, 3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 6*a + 7. What is the units digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*d**3 + 66*d**3 - 151*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -341\/5. Let c be ((-1)\/(-5))\/(-1 - -2). Factor 2\/5*v**2 + h*v + 0 + c*v**3.\nAnswer: v*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219 - 253 = 59*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuo when three letters picked without replacement from {o: 4, s: 1, t: 7, g: 3, u: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(416)*1 - sqrt(416)) - sqrt(416) - sqrt(416))\/(-4*(sqrt(128) - (sqrt(128) + (sqrt(128) - 2*sqrt(128) - sqrt(128))))).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -52*h**2 + 28*h**2 + 26*h**2. Let u(v) = 7*v. Let i(g) = -22*g. Let a(r) = 3*i(r) + 10*u(r). Calculate a(d(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225.2492 + 0.4508. Round p to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*l + l - 14 = 0, -2*u + 4*l - 12 = 0. Suppose -2*d - 6*d + 8 = 0. Sort d, u, -2.\nAnswer: -2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*p + 4. Let i(l) = 2*l**2 - 20*l + 1. Let m be i(p). Let r = 0.2 + -0.2. Which is the closest to r? (a) m (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45607\/(-3092))\/(1\/(12\/3) - 0)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/706656 and 127\/10334844?\nAnswer: 82678752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.07 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.04, 3.23, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/1)\/(6\/8). Let j be 1\/(-1) + (-4 - a). Let h = -0.7 - 3.3. Sort h, j, -5.\nAnswer: -5, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*l - 53, -102*h + 126*h = 2*l - 142 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17135 divided by 23.\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -33, -36, -29, -6, 39, 112?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 y when three letters picked without replacement from ycvuyv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 1 + 15. Suppose 3*p + 2*z = q, -4*z - z + 13 = 3*p. Is (p\/(-10))\/((-5)\/75) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 20*c**5\/9 - 3232*c**4\/9 + 1844*c**3\/9 + 14216*c**2\/9 - 7696*c\/9 - 5152\/9 = 0.\nAnswer: -2, -2\/5, 1, 2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**7\/42 - m**4\/6 - 2*m. Find the third derivative of g(w) wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.63 + 0.27. Let o = 0.7 - w. Which is bigger: o or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 6*s**2 + 3*s. Let v be f(-6). Let n = v - -20. Let h(q) = 0*q**2 + 2*q**2 - 8*q**n. Let i(y) = -3*y**2. Give i(h(p)).\nAnswer: -108*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a hour in seconds?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 162*p + 1116. What is the remainder when i(3) is divided by 145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/22*(8 + -2 + -4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + u**4)*(6*u - 20 - 3*u + 22).\nAnswer: 3*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21011120110 (base 3) to base 15.\nAnswer: -2bc29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*t - 1 - t)*(-10*t**2 - 3*t**2 + 0*t**2).\nAnswer: 39*t**3 - 39*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50502 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 - 68 = -3*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1627*m + 2010*m - 3367*m - 28620 for m.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -10. Let t(q) be the first derivative of -2*q + 1 - 1\/4*q**4 + 4\/3*q**u + 1\/2*q**2. Calculate t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**3 + m**3 + 2*m**3 + (-6*m**3 + 4*m**3 + m**3)*(3 - 7 + 2) + 0 + 0 + 4*m**3 as u*m + b*m**2 + q*m**3 + o and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0*7\/(-14) + (0 - -13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*v + 1000, 5*v + 4921 = 5*r + 46. Is 35 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.16029 rounded to one decimal place?\nAnswer: 69.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191373?\nAnswer: 3, 7, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 - -45) + (-2 - 0 - (-63 - -10))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspsppp. What is prob of picking 2 p?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**4\/4 + 26*x**3\/3 + 12*x**2 - 25*x + 43. Let d be f(-25). Suppose d*j + 0*j**2 + 4\/9*j**3 + 0 - 2\/9*j**4 = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4019 != -68313\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 + 12*w**2 - 306*w + 1480. Let i be f(5). Solve -7*d = 9*d - i*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/6)\/j)\/(j*j**(-1))*(j*j*j\/(j*j\/(j\/(j\/(j\/(j**(6\/11)*j))))))\/(((j*j*(j**(-7)*j)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(481\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = w - 293, 0 = 2*x - 7*w + 5*w - 296. What is the greatest common factor of x and 3381?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 take away 140?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -79482*w + 317829. Determine g(4).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**2 + 11*x + 2. Let o(d) = -3*d**2 + 6*d + 1. Give 4*c(q) - 7*o(q).\nAnswer: q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*y**2\/5 + 537607*y\/5 - 1243602\/5.\nAnswer: -(y - 10539)*(51*y - 118)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11679, -23403, -35167, -46971, -58815?\nAnswer: -70699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 5. Suppose -27 = s*x - 6*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2197642, -4395287, -6592924, -8790547, -10988150, -13185727?\nAnswer: -15383272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010101 + 1011010?\nAnswer: -1100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5477? (a) -1 (b) -2 (c) 2 (d) 0.15 (e) -0.3 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = -2. Let i be (6\/m)\/(-3) - 6. Sort -1, i, -4.\nAnswer: i, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31851222 divided by -183053?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3131*y + 203501. Calculate b(-65).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80629, -161733, -242831, -323917, -404985, -486029, -567043?\n\"Answer: n**3 - 3*n**2 - 81102*n + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - f + f)*(12310*f**3 + 11862469 - 11862469) to p + j*f + s*f**3 + b*f**4 + n*f**2 and give b.\nAnswer: 24620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61687348 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1549 divide 17721665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c**2 - 2147*c - 2837. Determine l(-152).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286445 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 136*j + 10*j + 16*j + 14*j as c*j + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (10 + 2)) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 2*m**2 - 49*m + 115. Suppose 0 = -4*x + x + 30. What is the least common multiple of x and q(2)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 3300?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2577034482 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2301*f**4 - 4392*f**3 - 10781824*f**2 wrt f?\nAnswer: 55224*f - 26352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/6)*f**13 assuming f is positive.\nAnswer: f**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -229\/8 - -257\/8. Let v(d) be the second derivative of 0 - 13*d + 1\/2*d**4 - x*d**2 - 5\/6*d**3 - 1\/20*d**5. Calculate v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {h: 1, n: 1, x: 2, w: 2, f: 14}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1.4, 5, -0.8 in decreasing order.\nAnswer: 16, 5, -0.8, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {i: 3, w: 7, e: 1, k: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21779 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (164\/(-6))\/((-90)\/2565)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**3 - 6*n**2 - 9*n - 8. Let d be w(8). Let h = 52193\/20 - d. What is the common denominator of ((-363)\/27)\/(8\/3) and h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 6*r - 2. Let s be i(-6). Let h be 0 + (-1 - s) - 0. Let j be (h\/4)\/(6\/4). Are 1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 15*h - 10. Let g be z(0). Let v be (8\/g)\/((-40)\/100). Solve 3*f = 12, -v*p + p = -4*f + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 11:14 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2722345.\nAnswer: 5, 53, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13430112283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.17, 0 in descending order.\nAnswer: 2, 0.17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32884532 - 32881938.2181. Let a = 2598.7819012 - z. Let j = a - 5. What is j rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 2*a - 0*a + 2*x - 16, 9*a - 28 = 11*a - 3*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846225 is divided by 4263.\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 30*r**3 + r**2 - r. Let o be (0 - 3\/3) + 7. Suppose 3*z - 9 = -o. What is the units digit of k(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide (-624)\/(3 - 11)*4*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 65. Suppose m*x = o - 11, 0 = -6*o + o + x + 82. Let q = o + 74. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 137405?\nAnswer: -549620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10928, 10923, 10920, 10925, 10944?\n\"Answer: b**3 - 5*b**2 + 3*b + 10929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968) + (sqrt(968)*-3 - sqrt(968)))\/(sqrt(32)\/(sqrt(80)\/sqrt(10)))*-1.\nAnswer: 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1087 - -1079. Put 4, b, 3 in decreasing order.\nAnswer: 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 64 - 19?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-306)\/1350 + 8\/10\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -409 + 416. Suppose -3*n - 32 = 1. Let s = n - -15. Solve -3*r - 3*h - 27 = 0, -2*r + s = -h + f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:26 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9)\/((y\/y**4)\/y) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2100220022002 - 11?\nAnswer: 2100220021331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 m, and 1 b when four letters picked without replacement from {b: 1, r: 5, m: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*u**2 - 42*a**2 - 19*a*u**2 + 205356*a*u + 2*a - 55880*u**2 - u + 1 wrt u?\nAnswer: 2*a**2 - 38*a - 111760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 2*a + 3*a - a**2. Let r = -2 + 1. Let p(c) = c - 1. Let x(g) = -4*g + 2. Let w(h) = r*x(h) - 2*p(h). What is w(t(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 4, 23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**4 - 246*n**3 - 754*n**2 - 736*n - 239. Let z(c) = 2*c**4 - 244*c**3 - 756*c**2 - 736*c - 238. Let q(p) = 6*g(p) - 5*z(p). Factor q(f).\nAnswer: -4*(f + 1)**3*(f + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 1:55 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(85)*2*4)\/(sqrt(35)\/(sqrt(21)\/sqrt(3)) + sqrt(5) + (sqrt(45)*-2 - sqrt(5))))**2.\nAnswer: 39168\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - k + 9 = 0, k - 4*k = 4*p - 19. Let t(h) = 1 + p + 2*h + h**2 + 5*h. What are the prime factors of t(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(770\/33)*8\/((-200)\/35).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9061 - -142962.\nAnswer: 142961.0939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 12*k**2 + 5*k - 21. Suppose c + m = -2*m + 14, -5*c + 4*m = -108. Suppose 24*n + c = 28*n. Is l(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 - 1475*k**2 - 2900393*k + 4320896667 = 0. Calculate k.\nAnswer: -1707, 1591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1817\/8 - -1821\/8. What is the closest to -0.4 in -3, b, 106, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2000*i + 440*i + 435*i + 444*i - 3321*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3786*n - 126. Let w(a) = -34075*a - 1155. What is -55*u(q) + 6*w(q)?\nAnswer: 3780*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c*c**(-4\/19))*c)**(-3) assuming c is positive.\nAnswer: c**(45\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -24*b**3 + 5*b + 5. Suppose -6*z = -9*z - 6. Let p be h(z). Calculate the greatest common divisor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.672713 to 2 dps.\nAnswer: 67.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -393 - -2ec?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*w + 55 = 0, 0 = i - 7*w - 624 + 701 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41, 106, 179, 260, 349, 446, 551?\n\"Answer: 4*p**2 + 53*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5 - 7802758317.\nAnswer: -7802758320.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10577?\nAnswer: 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12825)\/150)\/171 + 6 + -1. Factor 25\/3 - v*p + 1\/6*p**2.\nAnswer: (p - 25)*(p - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869.7475nm to kilometers.\nAnswer: 0.0000000008697475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1894270 and 0.2.\nAnswer: 378854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u. Let r(v) be the second derivative of 19*v**3\/6 - 6*v. Give n(r(l)).\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*v + 78 = -106, -5*v = 4*y + 184. Let r = 46 + y. Suppose r*j = 3*j - 225. 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: Let v be (6 - -2) + (4 - 8). Suppose 0 = 6*i - 2*i - t - 309, v*i - 305 = -3*t. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i - 404 = -2*j, 605 = 3*j + 5*i. Suppose -j = -8*t - 0*t. Solve 0*v + 2*v - 5*l + t = 0, -4*l + 7 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 2:24 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 248574870 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/10 - 2*y**4\/3 - y**3\/3 - 859*y**2. Give l(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 1 + 59. Let b be ((-54)\/s)\/((-6)\/15). What is the greatest common divisor of 99 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 29*c + 11. Let g(p) = -6*p - 2. Calculate -11*g(f) - 2*k(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/26)\/((-1)\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from mvmmmmmvvmmmvv?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3 + 1. Let p be d\/2 - (-3 - -3). Let w be -1*(p - -1*2). Is w <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**3\/6 + 7*v**2\/2 - 5*v. Let t be r(3). What is the second derivative of -w + 6*w + 4*w**4 - t*w + 3*w wrt w?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**2 - 35*j + 17*j**2 + 13*j wrt j?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -13. Let f = -118 + 107. Let x = f - i. What is the nearest to x in -5, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:24 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(4\/2)*(6\/66)\/1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z + 4. Let f = 6 + -5. Let u be f\/(-4) + 230\/(-40). Is b(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - -4) - (-2 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1095 + 2*x + 1095.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k*m**6 + 112*k*m**3 - k*m**2 + 482*m**2 wrt m?\nAnswer: -120*k*m**3 + 672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7426.\nAnswer: 2, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 2*c - 4*c)*(-2 - 2 + 2)*(-2*c**2 - c + c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 12) to base 2.\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2208928, -2208930, -2208932, -2208934, -2208936, -2208938?\n\"Answer: -2*m - 2208926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.847 - -0.837. What is the fourth smallest value in -3, t, 1, -69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10566 divided by 9\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {o: 5, y: 2, p: 7, r: 3}.\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, w: 4, r: 5, g: 4, l: 1, k: 1}. What is prob of picking 1 w and 1 k?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 36*r**3 - 120*r**2 - 124*r - 42.\nAnswer: 2*(r - 21)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96833 - 3097687671\/31990. Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 29.4?\nAnswer: 8.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(336) - (sqrt(189) - 1*sqrt(189)))*6)\/(sqrt(192)*-4 - (sqrt(3) - ((sqrt(12) - (sqrt(24)\/sqrt(2) + sqrt(12))) + sqrt(12) + sqrt(12))\/sqrt(4))).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/4*3\/(-45).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -407, -1691, -3831, -6827, -10679?\nAnswer: -15387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -25 + 2*q**2 + q**3 + q**3 - 8*q + 18*q**2 + 2*q**5 + 9 - 8*q**4 = 0. What is q?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**4\/12 + 7*j**3\/6 - j**2\/2 + 4*j. Let i be q(3). Let g(n) = n**3 - 11*n**2 + 7. Is g(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -54, -169, -376, -699?\nAnswer: -1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14211 - 1224?\nAnswer: -20440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 16 - 9*v - 7*v + (-4 + 1 + 2)*(-5*v + 0*v + 4*v) + 2*v - 6*v + 5*v.\nAnswer: -14*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -447, -670, -893?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.02, -3, -3\/4, 0.032874, 2\/25, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -472.0448 + 0.0448. Let n = y - -477.204. Let s = n + -0.004. What is s rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10 - 6) + (-2)\/7)\/(8118\/287 + -30)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100001000101 + -1011101110?\nAnswer: 1100010101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = j, -4*j + 32 = -4*x. Let l = 9 - 13. Put l, 3, x in increasing order.\nAnswer: x, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18735.25761 + -18735. What is f rounded to three dps?\nAnswer: 0.258","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12427 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12369 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22906\/8085 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1471198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 + 913\/6. Calculate the common denominator of (-22)\/(-7)*18\/(-8) and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 159198042 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 209 and -73269.6.\nAnswer: -73060.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4 - 89*o**2 + 170*o**2 - 82*o**2 - 11*o. Let j be t(-5). What is the highest common factor of j and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-336)\/(-1050)*(-25)\/(-20). Find l such that -12\/5*l + y*l**2 + 16\/5 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*i - 4633 - 1114 - 2576 = 0 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6408191 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 99759\nAnswer: -49879.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g**3 + 241*g**3 - 63*g**3 - 103*g**3 - 40*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 5, 0, 0.1, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -161*f - 29633. Calculate t(-184).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 22 (c) -1.1863\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**4 - 3*s**4 - 12*s**4 + (-s - s + 4*s)*(s**2 - 2*s**3 - s**2).\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 18. Let j = -0.7 + 0.2. Let v = -0.53 - -0.43. What is the nearest to v in g, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 3*s + 23*s)*((-3 + s + 3)*(-3*s**2 + s**2 - s**2) - 39*s**3 + 36*s**3 + 55*s**3) to the form b*s + p*s**3 + a*s**4 + f*s**2 + d and give a.\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*c**4*s + 7*c**4 + c**2*s - 3*s - 92 wrt c?\nAnswer: 192*c**3*s + 28*c**3 + 2*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from cwyywywwycccycccwwww?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*74*((-90)\/10)\/90.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 2*w**2 - 2*w + 9. Is r(7) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -y - 20*l + 49, 2*y = 2*l - 22 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126469664 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 - 2*h**5 + 20*h**5 + (0*h - 4*h + 2*h)*(h**4 - 2*h**4 + 3*h**4) - 3*h**5 + 0*h**5 - h**5 + 2*h**5 - 4*h**5 + 5*h**5.\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*i - 108*i + 198 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 (base 13) in base 16?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*c*o**2*u + 3*c*u - 4*c - o**3*u + o**3 + o**2*u - 2*o*u wrt o?\nAnswer: 110*c*u - 6*o*u + 6*o + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 781 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 11:29 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 54 = 6*o. Suppose -4*s + r + 18 = -r, 5*s - r - o = 0. Solve 0 = 3*l + s + 6, 5*h + 4*l = -31 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -216, -324, -432, -540?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14551, -14549, -14547?\nAnswer: -14545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28659 and 369?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14863 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 51*n - 253. Let b be t(5). Solve 9*u = 2*s + 6*u - b, u + 6 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-9)\/5)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -33. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:52 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:47 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-4 - (7 - 21)) - 42\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3253 + 12925\/4. Find the common denominator of o and (-162)\/28 + 1\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/5733 - 5738\/28665. Let j = -96\/1057 - 2\/453. Let z = -8 - -5. Which is the third biggest value? (a) j (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2763 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 457177*i**3*m**3 + 430868*i**3*m - i**2*m**3 - 2*m**2 wrt m?\nAnswer: 2743062*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 13) to base 6.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04277983063 rounded to five decimal places?\nAnswer: -0.04278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p)\/p**(-9\/7))\/(p*p\/(p\/(p**(-3\/4)*p))*p\/(p\/p**(-2\/3)*p)*p) assuming p is positive.\nAnswer: p**(-193\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 71114*j - 369. Is z(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**4 + 138*z**3 + 5916*z**2 + 21912*z + 21312 = 0.\nAnswer: -24, -2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffqfqqqffffqfffffq. What is prob of picking 3 f and 1 q?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t + 97 = 94 - 217 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 3*y**4\/4 - 3*y**2\/2 + 1. What is the second derivative of f(i) wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013176706 rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*n - 106*n - 650 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 8:01 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36493, 145918, 328273, 583558?\nAnswer: 911773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -35*n**3 - 2*n**2 + 2*n. Let b(s) = -70*s**3 - 5*s**2 + 5*s. What is 2*b(z) - 5*m(z)?\nAnswer: 35*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 2569.\nAnswer: 25690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 p when four letters picked without replacement from {p: 3, o: 7, j: 3}.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65300 is divided by 21318.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j**2*y**3 + 28*j**2*y - 8*j*y**3 - 1805*y**3 wrt j.\nAnswer: 6*j*y**3 + 56*j*y - 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207475 is divided by 64417?\nAnswer: 14224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71.2*-15492.5.\nAnswer: -1103066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -49, -28, 1, 38, 83, 136?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100308 (base 9) to base 13.\nAnswer: 20cb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, -1095, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 76, 176, 300, 442, 596, 756?\n\"Answer: -z**3 + 18*z**2 + 53*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 - 3*j**2 - 4*j - 3. Let o be h(-3). Suppose 2*k + 36 = 3*z, 3*k + 3*z = -o + 9. Let c = -10 - k. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-18))\/((-16)\/(-144)) - -8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.112995?\nAnswer: -0.112995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.04 (b) -507 (c) 8\/441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 10 = 2*t, l + l = 0. Suppose 3*n - 25 - t = 0. Let v = -5 + n. Solve -o + 20 = -v*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824.7096 months to decades.\nAnswer: 6.87258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*s**3 + 40*s**3 + 3*s**4 + 48*s**3)*(-54 + 2 + 16)*(2 - 5 + 2).\nAnswer: 108*s**4 - 216*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 - (-6 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 170225 and -70.\nAnswer: -11915750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 306*g + 325*g - 41, 1 = s + 2*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 234 + 78 = 0. Suppose -147 = -3*j - l. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50820696 - -101051836. Let k = -50231135.99999952 + g. Let q = k - 4. What is q rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 40*i**2 - 65*i + 30.\nAnswer: -5*(i - 6)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - b + 1. Let n(u) = 40 + 47 + 62*u + 12*u**2 - 85 + u**2. Let h(v) = -2*d(v) + n(v). What is the second derivative of h(m) wrt m?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71525156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8 - -2)\/((-316)\/40 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382314237 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1751 - -1?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 8:13 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -308980.836 * 2.\nAnswer: -617961.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bd89 (base 16) in base 2?\nAnswer: -11011110110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1\/5, -0.3, 1\/5, 0.7356 in decreasing order.\nAnswer: 0.7356, 1\/5, -1\/5, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/1300)\/(8\/10)\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 134.5 in 0.3, -24, -1\/7, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14974\/11893 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -56, -233, -542, -989, -1580, -2321?\n\"Answer: -p**3 - 60*p**2 + 10*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 3798483*a**2 + 7596957*a - 3798477.\nAnswer: 3*(a - 1266159)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + -4 + 6 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2311 or -2309?\nAnswer: -2311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 173*r - 168*r + 4*q, 0 = -r - 2*q + 25. Solve -2*g = -5*z - 33, 0 = -3*g + 4*z + r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-14\/9)*r)**(-1\/4))**(2\/55))**1 assuming r is positive.\nAnswer: r**(-16\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*a - 2*i + 7, 0 = -3*a - i - 1. Suppose 14 = -4*j + 3*t, 9*j + a = 8*j + 2*t. Sort j, -1, -0.56 in increasing order.\nAnswer: j, -1, -0.56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52963, 52950, 52927, 52894, 52851, 52798, 52735?\n\"Answer: -5*w**2 + 2*w + 52966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6191 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 5271?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0053 times 0.01\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 17 - (-361164)\/156 - 4\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 121672 and -75276.\nAnswer: 46396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 89. Suppose 0 = n + q + q - 106, -204 = -2*n + g*q. What is the greatest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18324409.\nAnswer: 167, 179, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49.2 - 1.2. Let y = v + -47. What is the third biggest value in y, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:18 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001226 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157309389?\nAnswer: 3, 2027, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -706*f*u*v**3 - 216*f*u + 5*u*v**3 wrt v?\nAnswer: -2118*f*u*v**2 + 15*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 900?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in 3\/422, 0.5, 0, -3?\nAnswer: 3\/422","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 264 = -4*v, 72017*v + 5*i = 72013*v + 127 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/6 - 90827*d**3\/3 - 2749484643*d**2\/2 + 49500896678*d\/3 - 132010142224\/3 = 0. What is d?\nAnswer: -90833, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(3\/7))**23*q**(-1\/16)\/((q\/((q\/q**(-4\/5))\/q))\/q))**(-11) assuming q is positive.\nAnswer: q**(-85503\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 247*a + 42 = -250*a - 21, 4*a - 41 = 4*w + 75 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(378\/(-18)))\/(9\/(-2))*-3\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242512.\nAnswer: 2, 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0070031 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, 6, -13 in increasing order.\nAnswer: -22, -13, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 0.54778.\nAnswer: 0.84778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 - 48\/(-21). Solve f**2 + 3 + 2*f - 3*f + w*f**2 + 7*f = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/7))**(2\/9)\/(d\/((d\/d**5)\/d*d))**46 assuming d is positive.\nAnswer: d**(-14498\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 411013859 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6625787273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(2)*-1)\/(sqrt(20)\/(sqrt(30)\/sqrt(3))))\/(-5*6*-2*sqrt(600)).\nAnswer: -sqrt(2)\/600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 3:28 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-1\/14)\/((t\/t**(2\/3))\/(((t*t\/t**(1\/2))\/t)\/t)) assuming t is positive.\nAnswer: t**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v = -12*v - 72 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/22 - 1)\/2. Let l = 11875 - 11876.9. Let k = 0.3 - 0.3. What is the nearest to l in q, 2\/17, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2. Let s(n) = 14*n**2 + 108*n - 2. Determine -5*f(w) - s(w).\nAnswer: w**2 - 108*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2011*d - 2037*d = 364 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62037 and 7720160.\nAnswer: 69481440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5010827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 3*y - 113*i = -110*i - 24, 0 = 2*y - 4*i + 20 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 + -111. Let b be ((-18029)\/(-2618))\/(4\/u). Let y = b - 417\/28. What is the common denominator of y and -9\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 18929?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/2 + u. Let r(g) be the third derivative of -g**5\/3 + 41*g**2 - 79*g. Determine r(c(h)).\nAnswer: -720*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czttnnzccmcctncccc. Give prob of picking 1 z and 1 n.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.49 + -0.51. Let r = d - -13. Sort -1, -0.02, 0, r in decreasing order.\nAnswer: r, 0, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 261? (a) 90 (b) 1 (c) 5 (d) -3\/11 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c + z = 957, -5*z + 973 = c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130635 or 5236?\nAnswer: -130635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n - 46. Let g(o) be the third derivative of o**4\/12 - 5*o**3\/2 + 107*o**2. What is -16*g(i) + 5*s(i)?\nAnswer: -2*i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Let o(d) = d**2 - 4*d. Suppose -19 = -5*v - i, 5*i + 4 - 19 = -5*v. Let q be o(v). Solve 3*m + n*m + 5 = q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.346 times 0.03\nAnswer: -0.01038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4))**(-46)\/(k**(-2)*k\/(k*k**5)*k) assuming k is positive.\nAnswer: k**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030 (base 8) in base 3?\nAnswer: -201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2726*z**3 + 417 - 2060*z - 728 + 310 wrt z?\nAnswer: -16356*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u - 7*u + 3*u. What is the tens digit of p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -15. Suppose h = -2*v + 1 + 5, -6 = 3*h. Solve x*g - 5 = v*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 5:50 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19*36\/(-1026))\/(15\/(-12))*-5.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10.07, 0.3, -4, -65, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 236698*j - 236704*j + 473402*j.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60730073 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -97356 divided by 84?\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306636.7 millimeters to nanometers.\nAnswer: 306636700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -66. Suppose 2*y + 3*b + c*b + 93 = 0, 5*y = 5*b - 180. Let g = 47 + y. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**7\/210 - 179*o**5\/30 + 209*o**4\/3 - 344*o**2 - 2*o. Find the second derivative of c(f) wrt f.\nAnswer: -12*f**2 - 716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0 = -4*x - 4, 5*l - 36 = -4*x. Let n = x - -1. What is the second derivative of -9*i**n - 3*i - 2*i**5 + 22*i wrt i?\nAnswer: -220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + -2 + sqrt(832) + -2)**2 + -4)*4 + 5.\nAnswer: -576*sqrt(13) + 10081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*t + 51 = -44, -s + 121 = -21*t. What is the remainder when 629 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q. Let d(v) be the first derivative of 2*v + 2. Let m(h) = h - 9. Let j(k) = -9*d(k) - 2*m(k). What is c(j(s))?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 5. Let d be s(2). Which is smaller: 1\/110 or d?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffnzbffzffibb. What is prob of sequence nfz?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o - 14*o + 4*o + (-5*o + 2*o - 5*o)*(2 + 11 - 9).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3993) - sqrt(3993))*3)\/(sqrt(12)\/(sqrt(4)*4*-5)).\nAnswer: 1980*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Let f(d) = d - 5. Let o be f(5). Suppose o*c = 3*c. Solve c = q*h - 3*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + 233011011?\nAnswer: 233011131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 791002.2 litres?\nAnswer: 791002200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2868 and 708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -116700000 to the nearest 1000000.\nAnswer: -117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - y**3 + 4*y**3)*((0 - 2 + 3)*(2 - 2 - 1) + 0 - 1 + 3 + (0 + 0 - 1)*(3 - 1 - 4) - 3 - 1 + 0 + 3 - 8 - 3).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 8. Let n(t) be the second derivative of -t**4\/12 + 47*t**2\/2 + 2*t + 41. Let z(k) be the first derivative of n(k). Calculate i(z(w)).\nAnswer: -2*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8509 or -8513?\nAnswer: -8509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111221 (base 3) in base 8?\nAnswer: -23175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 6, 3, -2, -9, -18, -29?\n\"Answer: -j**2 + 2*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(68) + (sqrt(68) - (sqrt(68)*-1 - sqrt(68))) + sqrt(68)) - sqrt(68)*1*1)\/(3*(sqrt(4) + 1*sqrt(4))*4).\nAnswer: 95*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7275 + -168.4425. What is a rounded to 0 decimal places?\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13524 = -5*s. Let k = s + 25381. Round k to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1\/2 (c) 1.9 (d) 1 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, 829, 1620, 2741, 4198?\nAnswer: 5997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21516 and 521274?\nAnswer: 11468028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three thirds of a century in months?\nAnswer: 29200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.564 and -531664?\nAnswer: 531685.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -1 + -1 - ((18 - 48) + -49 + -14)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 496, 534, -1 in ascending order.\nAnswer: -1, 16, 496, 534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**3\/6 - 208*q. Let a(j) = 3*j - 2*j + 5*j. Calculate k(a(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2. Let b(u) = 5*u**2. Let r(w) = -4*b(w) + 5*z(w). Let o(c) = 3*c. What is r(o(q))?\nAnswer: 45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 64*s. Let v(t) = -6492*t + 730. Give v(u(w)).\nAnswer: -415488*w + 730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/51 (b) 2\/97 (c) -3\/8 (d) 2\/7 (e) -3 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2720)\/64)\/((-20)\/16)*2\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 1 = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -30*q**2. Let w be (-22)\/(-10) + (765\/(-75) - -11). Let k(i) be the second derivative of -1\/3*i**w + 0*i**2 + 0 + 2*i. What is y(k(p))?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*b - c + 116, 3*c + 3 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z - 6*z + 17*z**2 + 9 - 10 as f*z + u*z**2 + a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 9453 = -94254. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 615*a**4 - 35*a**3 - 9*a**2 + 11*a - 3 wrt a.\nAnswer: 14760*a - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 0*m + 1\/20*m**4 + 1\/150*m**5 - 4*m**2 + 0*m**3 + 0. Factor i(y).\nAnswer: 2*y*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7359410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.03 - 1.23. Which is the third biggest value? (a) h (b) -0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s**2 + 5*s + 4. Let r(l) = -8*l**2 + 4*l + 2. Give -3*b(z) + 5*r(z).\nAnswer: 2*z**2 + 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*m + 2*y + 13, -4*y = -5*m + 35. Suppose 0 = -2*t + 1 + m. Let g = 27 - 9. Calculate the highest common divisor of g and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**3 + 2*l**2 - 1. Let q be y(-1). Let v(c) = 2*c**2 - 1. Let a(i) = i**3 - 5*i**2 + 1. What is q*v(j) + 2*a(j)?\nAnswer: 2*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 56*p - 114*p + 56*p - 65 as h*p + z + a*p**2 + f*p**3 and give z.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**3 - 2*h**2 - 2*h - 1. Let u be x(-1). Let j = u + -6. Solve d + 7 = -2*q, 5*d + 25 = -j*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(-3 + sqrt(68))*-6*-5)**2 + 5.\nAnswer: -97200*sqrt(17) + 623708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 2*g + 2. What is v(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -422753.3 rounded to the nearest one thousand?\nAnswer: -423000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 4*v + 4*v + (-3 + 3 - v)*(2 + 2 - 2) + v - 2*v + 0*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) - 4\/(-14). Let i = s + 2. Suppose 7 - 39 = -i*r. Solve 0 = 2*g - z - 3*z + r, -12 = -2*g - 3*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*h - 0, 4*h + 144 = 3*l. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 38, -3, -31 in descending order.\nAnswer: 38, -3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -p + 2*p. Suppose -19 = -3*n + 4*n. Let f = -7 - n. What is the highest common divisor of f and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50600 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -369 - -24349\/66. Find the common denominator of t and 125\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 3*a**2 + a + 3. Let t be 72\/(-28) + 8\/14. Let k be y(t). Solve 0 = -0*g + k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.651 - -0.54. Let f = -11491 + 11497.011. Let p = f + d. What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 122\/(-18) + 2\/(-9). Let a = -5 - r. Determine k, given that -82*k**a + 3*k + 3*k**5 + 82*k**2 - 6*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 703670*q - 1407348.\nAnswer: 2*(q - 351837)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 + -184. Let j(g) be the third derivative of 0*g + g**2 - 1\/24*g**6 + 0*g**4 + 1\/2*g**f + 0 + 0*g**5. Differentiate j(p) with respect to p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 + 25587093*r = 0. What is r?\nAnswer: 0, 8529031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2599, -1544, -1 in descending order.\nAnswer: 2599, -1, -1544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + o**3 + o**3)*(24*o - 11*o - 11*o - 4)*(0*o - o + 0*o).\nAnswer: 2*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -511, -2\/3, 170 in decreasing order.\nAnswer: 170, -2\/3, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249227524?\nAnswer: 2, 17, 41, 448073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7788398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517296 divided by -16?\nAnswer: -94831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4367*k**6 - 5*k**2 - 6*k - 64 wrt k.\nAnswer: 524040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 4. Let r(v) = -v**3 - 4*v**2 - 4*v. Let a be r(-3). What is the units digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f - 108*f**2 + 6 - 2*f**4 + 2 + 106*f**2 to the form x*f**4 + c + p*f**3 + l*f**2 + d*f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 931\/399 - 70\/30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 - -109. Let x(q) = -6*q + 25. Let y be x(a). Do 37 and y have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 3 + 2)*(-273 + 76 + 137)*(0*t**3 - 3*t**3 + 2*t**3) in the form f*t**2 + b*t**3 + z*t + x and give b.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 + 104 - 293 - 165)*(107*j**2 - 36*j**2 + 46*j**2).\nAnswer: -47736*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 1292239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 28*m + 12*m - 43*m. What is the smallest common multiple of i(-2) and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j + 4*j + 11*j + 3*j to t + z*j and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -6.085.\nAnswer: -24.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 30. Suppose -10*g + 26*g + 144 = 0. Calculate n(g).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.29 rounded to zero decimal places?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2075 or -0.61?\nAnswer: -0.2075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 121084170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.004289.\nAnswer: 0.017156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 12*o - 15. Let y be x(-10). Suppose 0 = y*z + 32 + 28. Let d(c) = c**3 + 11*c**2 - 14*c + 13. Is d(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 795 (base 15) to base 3\nAnswer: 2100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 188*w**2 - 15*w - 16. Does 6 divide p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 11*p**2 - 9*p - 448. Is u(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-5) - (-432)\/90. What are the prime factors of (q - -4)\/((-9)\/(459\/(-6)))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1014 - -35394.246601\nAnswer: 34380.246601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q**5 - 2847*q**4 - 139578*q**3 - 1490832*q**2 + 31366272*q + 5268480 = 0. What is q?\nAnswer: -56, -1\/6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 5006593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42250.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-26)*-7*(92\/7 + -13)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4554 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 5:00 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**44)**(-1)*(k**(1\/3))**(3\/10)\/(k**(1\/6)\/(k\/(k**(3\/5)*k))) assuming k is positive.\nAnswer: k**(-266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = k - 4*t, 36 = 3*k - 3*t - 87. Let h = 100 - 72. Suppose a = 5*b - b - k, 3*b + a = h. Calculate the highest common divisor of 70 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11*w + 127. Let i(a) = -27*a + 268. Let d(g) = 2*i(g) - 5*l(g). What is d(32)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(-2 + 2 - 2*u**4) - 766*u**3 + 76*u**4 + 766*u**3.\nAnswer: 80*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 - 169 = -2*y. Let d = 237 - y. Solve d*p - p = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**2 + 5*a - 1. Let p(d) = d**2 - d. Let v(j) = -k(j) - 3*p(j). Let x be v(1). Solve -z - 3*w + 7 = z, -4*w + 8 = x*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*v + 429, 2*v - 3*s - 222 = -5. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 11837 = -3*r, 5*r + 5899 = 19*x - 17*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -485, -955, -1411, -1847, -2257?\n\"Answer: g**3 + g**2 - 480*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2171544 and 18?\nAnswer: 6514632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2 - 27*r - 43. Let u(z) = -13*z**2 - 53*z - 87. Let n(s) = -11*m(s) + 6*u(s). Let i be n(-18). Solve 0 = 2*h + g, i*h + 2*g - 3 = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 9*u**2 - 7*u - 9. Let r be i(8). Let d(a) = -a + 1. Let x be d(r). Suppose 5*j - 114 = x*j. What is the remainder when j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*q - 137 = 148, -3*i = -4*q - 220. Let z(k) = k**2 - k + 9. Let l be z(0). What is the greatest common divisor of l and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**4\/8 - 2*m**2. Let t(d) be the third derivative of -d**4\/6 + d**2 + 9*d. What is c(t(w))?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*a - 5*c = -534*a - 32, -28 = 4*a - 3*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 5, 1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1478, -0.2999 in descending order.\nAnswer: 1478, 2, -0.2999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.91 - -0.09. Let n = -3.4381 + 2.9381. Which is the closest to -1\/6? (a) 3 (b) 1\/4 (c) n (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1736*r + 1734*r + 2 = 0. Let w(n) = 0*n**2 + r - 7 + 6 - 2*n**2. Let q(b) be the first derivative of 22*b**3\/3 - 1. Calculate q(w(t)).\nAnswer: 88*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 106184a - -3?\nAnswer: 1061850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 254369.07 months in millennia?\nAnswer: 21.1974225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1) + ((-104)\/13 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 - 728*m**3 + 12070*m**2 - 34524*m - 123120 = 0. What is m?\nAnswer: -380, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11.4285 and -0.4.\nAnswer: 11.0285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Suppose -3*l + 5*v = 2*l + 5, i*l - v = 3. Suppose 0*p = -p + l. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-758)\/10 - (-4)\/(-20). Let n = 78 + g. Suppose -3*x - 75 = -x - 5*q, -n*q + 35 = -x. Which is greater: -26 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*m - 2*a, 2*m + a - 76 = -3*m. Let o = m + -15. Solve -n - 5 + o = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38 + 4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + (2*sqrt(294) - (sqrt(6) + (sqrt(216) - sqrt(216)*2)))\/(-2*sqrt(3)*-1 + sqrt(3) + (sqrt(45)\/sqrt(3))\/sqrt(5)))*-4)**2.\nAnswer: 456*sqrt(2) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**20)**(11\/5)\/(w\/(w*w**(-1\/47))*w*w**(-21)) assuming w is positive.\nAnswer: w**(3007\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2*y**3\/9 - 53*y**2\/3 - 104*y\/3 + 584. Solve t(f) = 0 for f.\nAnswer: -52, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = 2*v - 233. Suppose -250*f + v*f + 55 = 0. Factor f*z**2 - 12 - 16*z + 0*z**2 + 16*z**3 + 4*z**4 + z**2 - 4*z**2.\nAnswer: 4*(z - 1)*(z + 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7225472 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (2 + 2 - -1887). Let l = i + -130550\/69. What is the closest to 1\/4 in l, -4, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 405*n**2*v**2 + 823*n**2 + n*v wrt v?\nAnswer: 810*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8820 at least -8818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -8. Let t be (-3)\/(13\/o + 1). Suppose 4*v - 94 = t. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**2 - 247*p**3 - 13*p**2 + 687*p**3 - 2*p**2.\nAnswer: 440*p**3 - 32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9539*s**2 + 4772*s**2 + 1725*s**3 + 4767*s**2.\nAnswer: 1725*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/13 - 38*t**2\/13 - 6204*t\/13 = 0.\nAnswer: -47, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002004125275 to 7 dps.\nAnswer: -0.0002004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 47*s**2 - 19*s - 525. List the prime factors of d(40).\nAnswer: 3, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132381 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 444 and 8?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -7603850098401.\nAnswer: -7603850098393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 6 + 3 + 2*h)*(1 - h - 1).\nAnswer: 2*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1087353000 to the nearest one million.\nAnswer: 1087000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -13047000 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 - 2.99. Let f be 1\/(-2) + 6\/(-20). What is the closest to l in f, 5, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = -s + 5, 0 = 3*r + 4*s - 58. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 6\/1)*1 - -5. Solve 2*n = l - 0*l + 9, t*l + 5*n = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 251*g**2 + 2.\nAnswer: 251*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 5. Let y be q(-3). Let i = y - -10. Let j be 3\/(7\/(-2)*(-2)\/i). Solve 3*d - d = -j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*-2*sqrt(204)*-1)\/(6*(sqrt(972) + sqrt(972)*-3)))**2.\nAnswer: 10*sqrt(17)\/9 + 2042\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {q: 1, f: 5, t: 7, a: 1, g: 4, i: 1}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000486402 rounded to six dps?\nAnswer: -0.000486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/20*15\/18. Let o = 86 - 90. Which is the closest to -2\/7? (a) f (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from xvixixxvxnxu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.299, -0.198, 3 in descending order.\nAnswer: 3, -0.198, -1.299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 5*s**2 - s - 29. Let p be g(6). Suppose -10 = 4*x - 5*t, -3*t = x - 7 + p. Which is smaller: x or -1\/45?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*s - 20*s - 29*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(1\/4))\/((m*m**(15\/7)\/m)\/m))**(4\/7))**(-20\/3) assuming m is positive.\nAnswer: m**(220\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 - 256. What is the biggest value in 0.5, -3\/23, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 3050, 2, 2\/3, 5, 0.1, 4?\nAnswer: 3050","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2573.88061 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**4 - 6*u**2 - 4*u. Let w(f) = -8*f**4 - 5*f**2 - 3*f. Let v(a) = -3*j(a) + 4*w(a). Find the third derivative of v(d) wrt d.\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1719 and 6651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.09 + -10.09. What is the nearest to 5 in r, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*s + 14 = 0, 2*s - 4*s - 36 = -3*r. Let t(k) = 20*k + r*k + 1 - 23*k - 2. Determine t(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 174 + 114. Suppose r*t = 101*t. Solve -6*v + t = -6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2157 (base 8) to base 7.\nAnswer: -3211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -172286, -344574, -516862, -689150?\n\"Answer: -172288*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1372 + -8.1072. Let z = t - -8. Let s = z - 0.43. What is the second biggest value in s, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17936 and 14915.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6777.4 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126.9927 + 127. What is y rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*u + 10, -4*u - 8 = -98*a + 102*a. Solve a = 33*n - 47*n + 70 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqz when three letters picked without replacement from {z: 9, h: 9, q: 1}?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1474 - -1431. Let l be 1 + 3 + 5 + -3. Let s be -88*(-1 - l\/(-4)). Which is greater: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -21, -27, -21, 3, 51?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 3*b. Let g(k) be the third derivative of -k**5\/12 - 2*k**4\/3 - 15*k**2. What is 2*g(s) + 11*h(s)?\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 19019*c - 38041*c - 12*c**2 + 19022*c - 2*c**3 to g*c**3 + h*c**2 + k*c + s and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 502244 (base 6) in base 12?\nAnswer: 1a984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from {u: 5, o: 3, q: 9, c: 2}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 7*q + 5. Let k be a(-7). Suppose -k*b + r + 43 = 0, b - 3*r + 5*r = 2. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2\/3 - 1756*p\/3 - 122590 = 0.\nAnswer: -533, -345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2*o**2 + 3*o**2)*(-3*o + 2*o - o)*(-6 - 18 - 5).\nAnswer: -58*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -42.7, -0.086, -9, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*8\/36*18\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2470\/41990 - (-94)\/(-272)*(1 + -3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sefisfssfi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*d*j**4 + 7*d*j - 8*d wrt j?\nAnswer: 1416*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2113 from -435.661.\nAnswer: -435.4497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2421*x - 2423*x - 139 - 90 + 229.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 13. Let z be p(17). Let a be 3\/2*z + -4. Suppose 2*i = -4, a*j + 210 = 5*j + 3*i. What is the greatest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 4*y + 5. Let b be c(-5). Suppose -2*l + 4*o = -64, -3*l + 5*o + b*o + 91 = 0. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 1:52 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from ebbbntn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -932 + -13.\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -422*q**6 + 56*q**2?\nAnswer: -50640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + z - 4*z + (-8 + 4 - 1)*(-z + 4 - 4) + 5*z - 2*z - 2*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3 + 1232\/441 + (-8)\/36?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 5\/2*q**2 + 0*q - 10\/3*q**3 - 5 + 5\/4*q**4. What is l in u(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 5*j + 6*j)*(5*j**2 + 0*j**2 - 8*j**2).\nAnswer: -42*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 561*1\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 78.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 136630239 a multiple of 1933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:27 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 111100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -251.\nAnswer: -3\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 79*n + 353. Let b be g(-90). Calculate the highest common divisor of 197 and b.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c86a5 + -4?\nAnswer: 2c86a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*t - 190, 4*t = 7*t + 15. Let n be (-1)\/((-16)\/p)*4. Solve -3*h - 5 = -q, 2*h + 6*q - n = 3*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.481\nAnswer: 0.0962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 smaller than 405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhehhhhhhhhhee. Give prob of sequence heh.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002927496 to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93336052 and 27676.\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -2*l - 2*x, -1578847*x + 1578844*x + 39 = 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*b + 1 + 891*b - 2342*b + 6412*b + 4294*b to the form f*b + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 60. Suppose f = 6*m - 14. Factor 15*l**2 - 1806 - m*l**4 + 10*l**3 + 1806.\nAnswer: -5*l**2*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 19 - -33 - (-1 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 3298.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 80931, 161865, 242799, 323733, 404667, 485601?\n\"Answer: 80934*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107b6 (base 13) in base 15?\nAnswer: 7dd0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -125 times -1910\nAnswer: 238750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707779 is divided by 1071.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5663142, 5663142, 5663140, 5663136, 5663130, 5663122?\nAnswer: 5663112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(99) + sqrt(11)))\/sqrt(7)*-4 + 5.\nAnswer: -sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1343 - -5416. List the prime factors of z.\nAnswer: 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -131*j + 128*j + 9*c, c = j + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 25. Let a = 363 + -376. Determine v(a).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:24 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 5*b + 14. Suppose 3*w - 5*i = 36, 3*i + i = -12. What is o(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 10)*(3*r + 2*r - 3*r) - 7*r + 13*r - 5*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38226, -38228, -38240, -38268, -38318, -38396?\nAnswer: -38508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-8874)\/(-12))\/(19\/494)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i. Let t(h) = -2236*h**2 - 1245*h**2 - 3668*h**2 - 178*h**2 + 1638*h**2. Give u(t(f)).\nAnswer: -17067*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366521?\nAnswer: 366521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 3*f**2 + 4*f + 7. Let z be h(-3). Let d(l) be the third derivative of -l**5\/60 - 7*l**4\/24 - l**3\/2 + l**2. Determine d(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o - 2. Suppose 0 = o*p + 3*v - 143, -3*v = p - v - 30. Let i = -22 + p. Solve -2*l = -i*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((6 - 0)\/(-12))\/(1\/2). Let u be (a\/(-30))\/(171\/(-75) - -5). Let l = 9359\/2040 + u. Calculate the common denominator of 22\/9 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 62*f**3 + 1129*f**2 + 5208*f + 7056.\nAnswer: (f + 3)**2*(f + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -51*g. Let q(s) = -3*s**2 - 8*s - 4. Let t(u) = 4*u**2 + 10*u + 5. Let n be 51\/(-17) + (6 - -1). Let y(l) = n*t(l) + 5*q(l). Calculate y(a(w)).\nAnswer: 2601*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k + 3. Let m = -21.7 + 22. Sort m, k, -3.\nAnswer: -3, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 1. Suppose -g + 2*g - 5 = 0. What is the smallest value in g, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**2*j + 104*g*j - 766*j wrt g?\nAnswer: 4*g*j + 104*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8562 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 558289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6738*a**4 - 216*a**2 + 2*a - 2.\nAnswer: -161712*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16 = -3*k + 7*k, d - 5*k + 26 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -3. Let r(u) = -2*u + 25. Let n(h) = 6*h - 76. Let m(x) = 5*n(x) + 16*r(x). Let q be m(f). Which is the third biggest value? (a) -1 (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-40)\/(-80)*-2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 211949, 211922, 211909, 211916, 211949, 212014, 212117?\n\"Answer: h**3 + h**2 - 37*h + 211984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79491.\nAnswer: 3, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*j - 15. Suppose -j*o - u = -41, -o - 2*u - u = -24. Calculate the remainder when 25 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/29 (b) -2 (c) 78 (d) -5 (e) -1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 5*i**2 + 5*i - 1. What are the prime factors of m(4)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -10*s**3\/7 - 1063284*s**2\/7 - 3615062*s\/7 - 1275900\/7 = 0.\nAnswer: -106325, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3012 + -10?\nAnswer: -3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81436 divided by 81436?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*b + 291 + 77, -5*p + 628 = -3*b. What is the greatest common factor of 32 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.823547 millilitres in litres?\nAnswer: 0.004823547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**3 - 5307712*o**2 - 4811*o - 4520 wrt o?\nAnswer: 18*o - 10615424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 22*m = -12, 4*i - 3*m - 20596 = 0. Is 62 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:23 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 1)*1 + 556 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -167, -164, -161, -158?\n\"Answer: 3*q - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y, -6*w = -3*w + 4*y - 55. Suppose w = -5*i + 10. Put 6, i, 4 in descending order.\nAnswer: 6, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-62) - 4\/(-8). Let x = -0.76346 - -0.26346. What is the third smallest value in x, -1\/8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 507\/4 - 127. Let m = 13 - 18. Let v = 2.9 - -0.1. Which is the closest to v? (a) t (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 10*i**2 + 10*i - 5. What is the tens digit of o(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/18)\/((-5)\/(-5110)). Let h = k - 57. Let g = -4.01 + 0.01. What is the second smallest value in 2, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*v**2 + 2\/11*v**3 + 636\/11*v + 0.\nAnswer: 2*v*(v - 318)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 669 * 183.35.\nAnswer: 122661.15","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -0.09 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1278113216, 1278113217, 1278113218, 1278113219, 1278113220, 1278113221?\nAnswer: 1278113222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -27. Suppose -5*n - 63 = 42. Let z = n - i. What is the remainder when 14 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -594, 0, -4 in descending order.\nAnswer: 1, 0, -3, -4, -594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 1:08 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161.1 + 160.14. What is the biggest value in t, 4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115028 and 44?\nAnswer: 1265308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tveeedu. What is prob of picking 1 e, 1 v, 1 d, and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1408)*-2 - sqrt(22)))\/((sqrt(14) - (sqrt(14) - sqrt(28)\/sqrt(2)*-3))\/sqrt(7))*2.\nAnswer: -68*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/((-4884)\/(-3478))*-1\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - 5*l**2 + 4*l**2)*(8*l + 0*l - 2*l) - l + l + 2*l**3 as s + a*l + m*l**3 + f*l**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(6)\/sqrt(3)*1 + (sqrt(882) + sqrt(2) - sqrt(2))**2)*1.\nAnswer: sqrt(2) + 885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, q: 4, j: 5}. What is prob of picking 4 z?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-270*z**2 + 526*z**3 + 270*z**2)*(-3*z**2 + z**2 - 4*z**2).\nAnswer: -3156*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 195? (a) -17 (b) -1\/5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -6.4, 2\/5, 5, -2, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1044\/2485 - -3\/355. What is the third smallest value in -2\/13, -0.5, j, -34?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 6. Suppose 0 = 4*n - 7*n + 2*i - 47, -n = -2*i + 13. Let f = 6 + n. Let a(c) = -5 - 3*c - 5 + 0 - 7. Determine f*r(x) + 4*a(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -650, -1.\nAnswer: -650, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 + 21*u + 800. What is s(24)?\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 681, 2764, 6235, 11094, 17341, 24976?\n\"Answer: 694*x**2 + x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 3*r + 18, -5*s = -3*s - 5*r + 26 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 1, 11 in increasing order.\nAnswer: 1, 2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c**2. Let r(a) = 232*a - 3281. Let l be r(14). Let h(o) = 72*o**2. What is l*x(v) - 4*h(v)?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1088) + (sqrt(1088) - (sqrt(1088) + sqrt(1088)*1))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505*m + 671308 = -714*m. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138311 - -138321. Suppose -8 = -3*y + 16. Is m less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d**(-1\/5)*d))\/d))\/d*d**6)\/(d\/d**(-1\/9)*d**(1\/6))*(d**(2\/3))**9\/((((d\/(d\/(d\/d**(2\/7)*d)*d))\/d)\/d)\/d)**(-40) assuming d is positive.\nAnswer: d**(-50341\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26 and 15012.\nAnswer: 15038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -2\/7, 0.5, 3, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. Suppose 2*a = -2*u + 1 - 11, 4*u = -o*a - 16. Let r(k) = -k**3 - 3*k**2 + 2*k + 2. Calculate r(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 divided by -266\nAnswer: 89\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*t + 24, 4*t + 6*k = 4*k + 32. What is the remainder when 532\/20 - 4\/(-10) is divided by 0\/(-3) + t*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.06 - 0.06. Let y = 0 + o. Let g = 0.05 - 2.05. Which is the second biggest value? (a) -1\/3 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3.8. Let t = 0.24 + -0.04. What is the second biggest value in t, r, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.176 - -5.17695405. What is b rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8409 is divided by 598?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - 12 = -21*z. Suppose 3*r - 11 = -5. Find the third derivative of 6*c**r + z + c**4 - 3*c**2 - 3 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Is 219 a factor of 90447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5776 + 7317. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2619096 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -4708574357456 and 0.5.\nAnswer: -4708574357455.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1392835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2737.\nAnswer: 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, 12, 3\/100, 3\/7, -19\/13?\nAnswer: -19\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.08, -1.7, 2\/17?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161811 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 6, 3\/5, 3\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*j + j. Solve 0*g + 10 = j*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*z + 5*z - 1350. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681.0305 micrograms to grams.\nAnswer: 0.0006810305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**4*w)\/w*w*w\/w**(-2\/29))**(-19)*w**7*w*w**(-2\/17)*(w\/(w**(-1)\/w)*w)**(2\/41) assuming w is positive.\nAnswer: w**(-2551545\/20213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -223428*c + 5138851. What is u(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwiiwvvwvu. Give prob of sequence viv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 5*z**2\/2 + 5*z + 2. Let s(a) be the third derivative of -a**5\/60 - 3*a**2 + 5*a + 539. Determine m(s(w)).\nAnswer: -5*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t**(-26)*t*t*t)\/t))\/(t*t**3*t) assuming t is positive.\nAnswer: t**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j*w**3 + 2*j*w**2*y**3 - 936*j*w**2 - 16*j*w*y**3 + 43*j*w*y**2 - 2*j*w*y + 2*w*y - y**2 wrt w.\nAnswer: -18*j*w + 4*j*y**3 - 1872*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50 - 102 + 52 - 388*o - 5*o + 4*o - o + (2*o + 2 - 2)*(-2 + 2 - 2).\nAnswer: -394*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 15.6. Let q = -1.2 + s. Let n = -2 - -5. What is the second biggest value in 2\/5, n, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a*b**2*s - 233*a*b*c*s - 2*a*c*s - 8*b**3*c*s - 2*b**3*s + 8*b*c*s wrt b?\nAnswer: -12*a*s - 48*b*c*s - 12*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 149110\/(-505050)*(-18)\/93.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1524ba (base 13) to base 6\nAnswer: 15044133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4 = 0, 4*y + 11 = 8*y + 5*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 1680 - 561. Find the common denominator of n\/(-198) - (-2)\/(-22)*2 and 85\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7921*b - 7908*b - 2066909 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 12*h**2 - 44*h - 69. Determine d(-16).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 59, 35, 9, -19?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 100 = z. Calculate the lowest common multiple of 6 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o - 7467 = -x, 5*x - 5*o = 37340. Find t such that -24069 - 4*t**3 + 1661*t - 12031 - x*t - 264*t**2 - 6492 = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 0.1, 207, 5, -0.2.\nAnswer: -0.3, -0.2, 0.1, 3, 5, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1119 + 6310. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 17. Let h be p(-21). Solve -3*v - 5*d - 28 = -d, h*d = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1197301297*i**3 - 2*i**2 - i + 49632700 wrt i?\nAnswer: -7183807782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 1270*j**2 - 132 + 257.\nAnswer: 1270*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 - 6*h**3 + 4*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let v(t) = 6*t - 2. Let y(u) = -3*u + 16*u - 2 - 8*u. Let l(q) = 4*v(q) - 5*y(q). Calculate l(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m - 3 + 3 - 27*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u. Let v(s) = 13466758*s. Determine p(v(t)).\nAnswer: 26933516*t","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6) + 3140\/(-2400))*5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h**2 - 10*h**2 + 3*h**2)*(-4 + 5 + 0) - 2*h**2 - 3*h + 3*h)*(2 - 5*h + 6 + 20).\nAnswer: 60*h**3 - 336*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/7)\/((-1)\/4). Let i = -46\/77 + k. What is the nearest to -1 in -8, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m**3 - 21 - 35\/4*m**4 + 10*m**2 + 0*m. What is the second derivative of b(d) wrt d?\nAnswer: -210*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g. Let b(v) be the third derivative of -v**4\/4 + 16*v**2. Let f = 35 + -22. Suppose -f = 4*w + 11. Determine w*b(a) - 20*t(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -14*l + 2*l + 96 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 15, 6, 0, 2, -68 in ascending order.\nAnswer: -68, 0, 1, 2, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11742808 and -2.\nAnswer: 23485616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6629*y**2. Let s(n) = 6*n. Give s(r(g)).\nAnswer: -39774*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -422*q + 6750. Determine o(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 6:38 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**6\/120 + 2*f**5\/15 - f**4\/24 + 9*f**2. Let q be b(-8). Find the third derivative of -85 - 6*x**2 + q*x**4 + 85 wrt x.\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 + 8)*(-4*x + 0*x + 2*x + (0 + 0 - 6)*(0 - 3*x + 0))*(5 - 3 + 3)*(3 + 0 - 6).\nAnswer: -3360*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 74. Let a = r + -42. Let j(f) = -2*f**2 + 4*f - 3. Let q be j(2). Sort q, -4, a.\nAnswer: -4, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5681964434?\nAnswer: 2, 17, 281, 594721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83813312?\nAnswer: 2, 11, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 975\/715 + 9717\/1804\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/4)\/h)\/h)\/h*(h*h**(-31))\/h*(h\/h**(-29))\/h*h*(h*h**(-10))\/h*h*h assuming h is positive.\nAnswer: h**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6*0 - -30. Suppose -35 = -5*v - h. Sort 2, -1, v, 0 in ascending order.\nAnswer: -1, 0, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-7) - (5 + 33\/(-7)). Let b(q) = 2*q - 39*q**2 - 4*q + 36*q**2 - 9*q**3. Calculate b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2621 and 33682471.\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -6. Let u(g) = -g**2 + 6*g + 2. Let y be u(f). Suppose -y*w = -4*w - 8. Which is the third smallest value? (a) w (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1973 = -0*f - f + p, -5*p = 2*f - 3981. Let n = 978 - f. What is n rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*-4*135\/(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 25 = -9*p. Suppose t - 5 = -5*c, 9*c + p*t - 5 = 4*c. Let w be 39 - ((0 - 1) + c). 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: What is the product of 19621 and 6437.3?\nAnswer: 126306263.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -2. Let q(d) = d - 43 + 128 - 46 - 44. What is q(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29404557 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 89\/2 of a milligram?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4601*h. Let j(o) = 10*o**2. What is s(j(w))?\nAnswer: 46010*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m*m**(-8)))\/m*m)*m*m**(-5))**(-23) assuming m is positive.\nAnswer: m**253","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -267.18921 - -267.2. Let h = j + -0.011. Round h to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d - 3*q, -2*d - 20 = -q - 2*q. Let j be d\/12 - 10\/(-3). Suppose i - o + 1 = 0, -5*i + 0*i - o + 19 = 0. Solve -i*w - j + 0 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 3, -1\/2, 290, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3196540 by 5.\nAnswer: -639308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -9. Let l(j) be the first derivative of j**4\/2 + 2*j**3\/3 - j**2 - 2*j + 2. List the prime factors of l(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8497940, 8497937, 8497932, 8497925?\n\"Answer: -v**2 + 8497941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14179, 1\/7, 36845?\nAnswer: 36845","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1546 + 1437*c + 1538 - 3084 as k*c + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -21 + 117. Let l = -11 + g. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**6\/60 - 2*t**3\/3 + t**2\/2 + t. Let y(b) be the first derivative of n(b). Find the first derivative of y(m) wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 = 17, 2*v = 4*i + 18276. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7)\/w)**(-2\/95))**35\/(w**10*w**(-11))**(2\/25) assuming w is positive.\nAnswer: w**(288\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**2 - 75. Let d(m) = -26*m**2 + 375. Let f(r) = 11*a(r) + 2*d(r). Differentiate f(i) with respect to i.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*y + 66 = 0, -g = -3*g + 5*y. Let n = -5 + g. Let a = -63 - -103. Calculate the highest common factor of n and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/37, -6.4, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x + 48. Suppose 0 = 2*h - 6*h + 40. What is the least common multiple of x and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 27 - (-7 - -28) - (-3 + 132).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.192 + -1.808. Which is the biggest value? (a) -4 (b) u (c) -21 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*f - 4. Suppose f*b + 0*b - 216 = 0. Let v(m) = -m**3 - 4*m**2 + 5*m + 6. Let r be v(-5). Calculate the highest common divisor of r and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**8\/504 - i**7\/105 - i**6\/60 + 11*i**5\/90 - i**4\/6 - 459*i**2. Find l, given that j(l) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 - 20*g**3 + 20*g**2.\nAnswer: 5*g**2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, and 1 o when three letters picked without replacement from lolzziloloorrlziliol?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 1304*f**2 + 31.\nAnswer: -1304*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 36. Solve 0*b - h*b + 7 = -3*t, -3*b = -t + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62572 divided by 4.\nAnswer: 15643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 15*c - 2*g + 16 = 0, -4*c = -4*g + 36 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*y**2 + 32*y**2 - 86*y**2.\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**6\/15 + 3*r**2\/2 + 10*r. What is the first derivative of u(b) wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36744 is divided by 1521.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -556503684 divided by 25295622\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1105\/50 + -22)\/(4*22\/240).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21664?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 10*b = 17 - 89, -3332*g + 6*b = -3333*g - 41 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v - 2*b - 10, -4*v - 5*b = 27. Let y(g) be the second derivative of -15*g + 0 + 1\/2*g**3 + v*g**2. Let n(k) = 4*k + 5. What is -4*n(a) + 5*y(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysass. Give prob of picking 1 a and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -4, 490\/3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995825 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - (-139)\/(-4). Let p(h) = -h**3 + 5*h**2 + 6*h - 2. Let w be p(6). Let u = w - y. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {j: 15, h: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 6, -190 = -4*j + 3*z - 29. What is the remainder when 75 is divided by j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbdmbbdddbdbbbb. What is prob of sequence bb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + -15.6. Let t = i - -16.1. Which is bigger: -115 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 7*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -71, -64, -55, -44, -31?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*k + 1 - 36, 0 = -2*k - 10. Suppose 5*b = 4*b + c*s - 6, 20 = 5*s. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 - 118.99712. Round d to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/3 + (2 - -1)\/(-9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62338 and 1050966.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4231 + 8464 - 4230 + 3*q + (0 + 0 + 1)*(3*q + 3*q - 5*q) - q + 2*q + 2*q.\nAnswer: 7*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 18*l**2 + 7*l - 6.\nAnswer: (l + 1)*(l + 3)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l = -175. Let x be l + 3\/3 + 0. Suppose -5*z + r + 27 = -x, 0 = -2*z + 3*r + 20. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2 != 356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/7))**(-14\/9)*b\/b**0*b*b**(-6) assuming b is positive.\nAnswer: b**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65590799563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkj when three letters picked without replacement from vjddpvddddvk?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 12*p + 12. Determine i(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.11114 millilitres to litres.\nAnswer: 0.08011114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let r be (-27)\/(-3) + (-4 - -1). Suppose -r*o - 14 = -4*o. Let f(s) = -3*s - 24. Let c be f(o). Give g(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (2 - (-9)\/(-3)). Suppose b = -3*f - f - 52. Let x be f\/5 + (-2 - -4). Put -0.4, -5\/2, x in descending order.\nAnswer: -0.4, x, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2583\/4 - 10259\/16. Let s = 757\/3 + -231. Find the common denominator of s and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.15 + 1.15. What is the third smallest value in -5\/4, u, 1\/4, 16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-9 + 21)) + 2 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 6*k - 6. Suppose 3*a = n - 7, -4*a - 4*n = n + 41. Let p be d(a). Solve -p*x - 15 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 65*k - 62*k - 135 = 0, -5*k = -113*t - 3*k + 370 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-1 + 3 - 1). Let t be (n\/(-2))\/(6\/(-21)). Which is bigger: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12634266761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.16892906 - 34?\nAnswer: -46.16892906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.35 and 7.\nAnswer: 30.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, 59, 3, -1 in decreasing order.\nAnswer: 59, 3, 2, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -53*k**3 - 9*k**2 - 9*k - 13. Suppose -290*a + 284*a = -12. Let q(m) = -13*m**3 - 2*m**2 - 2*m - 3. What is a*f(z) - 9*q(z)?\nAnswer: 11*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/2)*y**(3\/5)*y**(3\/4)*y\/(y\/(y\/(y**(-6)*y)))*((y**0)**17)**(-35) assuming y is positive.\nAnswer: y**(117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -64 (c) 0 (d) 0.014156\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (91*r**2 - 1427 + 1427)*(28*r + 16 + 87*r - 16 - 25*r) as i + q*r**3 + h*r + b*r**2 and give q.\nAnswer: 8190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**4\/8 - l**3 + 3*l**2. List the prime factors of w(14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*sqrt(1300) - sqrt(1300)))**2.\nAnswer: 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 24 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 926\/9 - 1861\/18. What is the nearest to 1\/4 in o, 4, -28, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u - 26 = -5*k, -4*u + 12 = -2*k. Let h(p) = k*p - 4*p - 2 + p. Let w be h(-6). Solve 5*t = 2*r - 6*r - 26, 3*r + 4 = w*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-63)\/24)\/((-102015)\/239620). Let v = -2\/2267 - b. Find the common denominator of -13\/8 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = 3. What is the least common multiple of 15 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12795708 divided by 6?\nAnswer: -2132618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 998254247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*f + 40, -254*f + 277*f - 100 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 636 + 2988 = -n, -2*d = -13*n - 1500. List the prime factors of d.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from ffipffipf.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 + 128*a - 1024 = 0. Calculate a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2.9. Let m = 0.9 + z. What is m rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 9 = 3*u, 2*u - 33 = 3*a - 25 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**3\/6 + 3*y**2\/2 - 22*y. Calculate u(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/99 - (-100)\/18. Determine n so that -10\/3*n**4 + 0 - 2\/3*n**2 + t*n**3 - 4\/3*n = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 27 + -34 + (1 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhh when three letters picked without replacement from hdyshyh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-153)\/(-21)) + -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7449130 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1180.747 - -1180. What is c rounded to 2 decimal places?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m + 4*m)*(-148*m**3 + 7507 - 7507)*(2*m + 1 - 1).\nAnswer: -592*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 971 (b) 2 (c) -0.1 (d) 2\/39 (e) -1\/5 (f) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*g = -80*g + b + 10, -3*g - b = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9932.4856 - -311.3806. Let j = c - -9643. Let x = j - 22. What is x rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1187 and 6.\nAnswer: 7122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41, -106, -189, -296, -433, -606?\n\"Answer: -u**3 - 3*u**2 - 49*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j**2 + 1269*j - 16. Let b(q) = -5*q**2 + 631*q - 9. What is -7*b(d) + 4*r(d)?\nAnswer: -d**2 + 659*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.2505 + -36.95245. Let n = 7.7 + b. Round n to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -43. Let d be 18\/j*2*5 + -3. Suppose 4*r - d = 35. Calculate the smallest common multiple of r and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2595 divided by -80903.\nAnswer: -2595\/80903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -260 + 70. Let u = a + 1517\/8. Calculate the common denominator of u and 28\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4 + 2 + t**2 - 6. Let k(c) = 8*c. What is k(a(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208502, -208456, -208410, -208364?\nAnswer: -208318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/(b\/(b**5*b)))**(-1\/10) assuming b is positive.\nAnswer: b**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14863467 - 2227317 = -2*i. Suppose 0 = 2*o + 2*g - 7036152, g = 4*o - 11130166 - 2942133. Let a = i + o. Round a to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -128?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 126, 309, 564, 891, 1290?\n\"Answer: 36*h**2 + 3*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 29*b**2 + 13. Give p(29).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**2 + 2*y + 2. Let n be c(2). Let k = -14 + n. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72530713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 454 + -453. Which is the closest to -1? (a) i (b) 8\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 210 (b) -57.25 (c) 0.2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 + 5*l**2 + l**2)*(-39*l + 46*l - 990*l) + 5*l - 5*l - l**3 in the form g*l + n*l**2 + j + x*l**3 and give x.\nAnswer: -1967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 8 - -5) + (163 - 189)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2361112 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + v - 22 = 0, -21*y + 12 = -17*y - 4*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 98.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/(4\/(-24)). Let r(c) = 4*c**2 - c. Let g(i) = -3*i**2 + 1. Let l(q) = t*r(q) - 3*g(q). Suppose 0 = 2*u + 2*u - 8. What is l(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7546 and 462.\nAnswer: 22638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105.9999312 - 106. Round d to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*-1430718.\nAnswer: 3004507.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 10. What is the closest to -1 in -2\/11, -2, w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1675 + -1651. What is the remainder when h is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 0*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 978\/(-9)*15\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 63*o**3 + 15*o**2 + 15*o - 15. Suppose -203*x + 236*x + 66 = 0. Let z(r) = 9*r**3 + 2*r**2 + 2*r - 2. Calculate x*k(a) + 15*z(a).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -0.2, -167, 0.04, -2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13362863, -13362875, -13362887, -13362899?\nAnswer: -13362911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.5 (b) 0.1 (c) 1\/8 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/546 and -25\/16?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190141945*-0.3.\nAnswer: -57042583.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12224273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.04. Let o = 0 + m. Let z = -1.04 - o. Is z greater than -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3690811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 470 by 91.\nAnswer: 470\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25248.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 = -d, -9 = -4*d - 5*x + 8. Let i = -73 + 73. Sort 3, d, 1, i.\nAnswer: d, i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 12*y**2 + 3. Let t be w(12). Solve -1\/5 - 3\/5*m**2 - 3\/5*m - 1\/5*m**t = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1216)*2 + sqrt(1216) + sqrt(1216)) + -4*(sqrt(1216) + 1))**2.\nAnswer: -768*sqrt(19) + 175120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let w(c) = 15*c**2 - 6*c + 6. Let x(y) = y - 1. Let q(m) = w(m) + 6*x(m). What is h(q(a))?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5.4 (b) -0.36 (c) 18\/11 (d) -3 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.4 (b) 0 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153 - 154) + 2 + -18 + -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 486 = 564. Find the second derivative of -33*k**2 + 6*k**2 + g - 11*k**2 + 2*k - 3*k**3 - 47 wrt k.\nAnswer: -18*k - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 16923*p - 11. Let r(s) = 260*s. What is r(y(f))?\nAnswer: 4399980*f - 2860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30 + -31 - 5\/(-8). Sort -3, -0.02, u, 2\/25.\nAnswer: -3, u, -0.02, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = m + 8*o - 7*o, 0 = 4*m - 4*o. Suppose -2*d - 3*l + 68 = 0, -2*l - 102 = -4*d + d. Let r be -3 + d*(-9)\/m. What is r rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 3*w + 1. Let q be i(-2). Suppose 2*z - q = 3. Solve 2*b = z*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.245 - -0.345. Put -1\/364, a, 2\/5 in decreasing order.\nAnswer: 2\/5, a, -1\/364","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -v + 4*v. Suppose -v*g + 8 = -0*g. Let w = -2068\/9 + 230. What is the third smallest value in 0.5, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6628*t + 192 = 6644*t. Calculate the highest common factor of 2652 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 565432, 1130780, 1696128, 2261476, 2826824, 3392172?\n\"Answer: 565348*l + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by ((-369)\/18)\/(0 + 4\/(-8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14533805891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 130365 = -20*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 3*k - 56. Calculate the greatest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 14*b**3 + 1. Let m(h) = 28*h**3 + 1. Let j(u) = -u**3 + u**2 + u + 4. Let r be j(3). Let c(t) = r*q(t) + 6*m(t). Differentiate c(f) wrt f.\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2)*((0 - 1 - 1)*(-1 + 2 + 0) + 1 + 2 - 1 + 4 - 4 + 1 + 2 + 3 - 1)*(10*o**3 + 22*o**3 - 13*o**3) to z + n*o + s*o**3 + k*o**2 and give s.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 1. Let r(x) = 6*x + 124. Calculate 4*l(f) - r(f).\nAnswer: -2*f - 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s + 15. Let h(y) = 2*y + 7. Let x = 2 + -2. Suppose 0*b + 4*b - 8 = x. Suppose -3*p + 26 = -p + o, -b*o = 5*p - 65. What is p*h(n) - 6*j(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 divided by -6?\nAnswer: -313\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**3 - 33*i + 15*i + 4*i**3 - 9 - i**3 + 19*i to the form y*i**3 + p + t*i + s*i**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2422066*o**6 - o**5 - 63132970*o**2 wrt o?\nAnswer: 290647920*o**3 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 36 = 8*m + 43. Let f be (-6)\/8 + -1 + 2. Which is the closest to f? (a) 4 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**3\/3 - 37*m**2\/2 + 217*m. Let p(j) = 22*j. What is p(t(a))?\nAnswer: 44*a - 814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*a - 72. Suppose 2 = 5*c - 3. Let d be a\/c - -1 - -2. Solve 5*z + 7 = d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 337 and 333 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 7*z**2 + 16*z + 21. Let j be y(9). Factor 2\/5 + 2\/5*w**5 + 2\/5*w + 2\/5*w**4 - 4\/5*w**j - 4\/5*w**2.\nAnswer: 2*(w - 1)**2*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475630031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29249 greater than or equal to 29252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -58, -109, 1, 1\/3?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/9 (b) -6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54726011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -534\/35?\nAnswer: -534\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d - 4. Let g be (-435)\/(-5) - (d - 6\/2). Let o = -67 + g. What is the highest common divisor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 x when four letters picked without replacement from xvmvmvmemam?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/3)\/((-1)\/(-3)). Let b = 33 + n. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3775 minus 252422?\nAnswer: -252421.6225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1472.5 times 8.88\nAnswer: 13075.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518.765591 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -8\/193, 1\/17, -3\/2?\nAnswer: -8\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 - 36*u**5 + 11*u**5 + 17*u**5 - 8*u**3 + 8*u**3 + (4 - 4 - 2)*(5*u**5 - 2*u**5 - u**5) - 5*u**5 - u**5 + 4*u**5.\nAnswer: -17*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/4 + 47665*x**3\/2 - 7917741*x**2 + 1756370871*x\/2 - 129920842107\/4.\nAnswer: -(x - 94997)*(x - 111)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Suppose -5*f + 0*f - x - 15 = 0, -c*f - 12 = -x. Calculate the lowest common multiple of 1 and -2 - 3*f\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = -2. Suppose -18*j + 14*j = -44. Let w be 2\/j - 16*(-6)\/198. Which is the closest to w? (a) -0.1 (b) f (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33101 is divided by 11030.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 87 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 6)*(-2 + 189964*y**5 - 3 + 4*y**4 - 189953*y**5).\nAnswer: 22*y**5 + 8*y**4 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 6*u + u)*(-4*u + 8*u + 10*u)*(-6*u**2 - 6*u**2 + 3*u**2).\nAnswer: 252*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 1622*(-22)\/(-48) + -1. Let a = 741 - z. Find the common denominator of 57\/10 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 291*g - 1708. What is l(-285)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1353*p**3 + 4*p**2 - 4*p. Let k(q) = -2314979*q**3 + 6845*q**2 - 6845*q. Calculate 4*k(n) - 6845*l(n).\nAnswer: 1369*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 - 982*o**2\/9 + 2324*o\/3.\nAnswer: -2*o*(o - 7)*(o + 498)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 1. Let b = -11152 - -11150. Let g(t) = 2*t**2 - 5*t + 7. Determine b*o(y) - g(y).\nAnswer: -2*y**2 + 3*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 60 = 4*j. Calculate the greatest common divisor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h - 5. Suppose -18*y + 13*y = -25. Let l(g) = -g - 6. Let d = -22 - -16. Let a(c) = -c - 7. Let u(b) = d*l(b) + y*a(b). Calculate 4*u(x) + w(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21576 - 16854. Calculate the greatest common divisor of h and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 356, 27 in ascending order.\nAnswer: 0.3, 27, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000208051 rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvbbeebbbbvbvvvvbv. What is prob of picking 2 b?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + w**3 + 11*w**3 + 13*w**3.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (0 - (1 - 0)). Let r(y) = y**3 + 36*y**2 - y - 26. Let h be r(-36). Suppose 0 = -2*x + x + 3*i + 5, 2*i + h = -x. Put 3, j, x in descending order.\nAnswer: j, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1384, 5591, 12464, 22009, 34232, 49139?\n\"Answer: n**3 + 1327*n**2 + 219*n - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51215573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 70 = -7*a. Let x be 2\/1*a\/14. Solve r + 3 = 3*k, k = x*r + 6*k - 25 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.13 greater than 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 711 + -713. Let u(j) = j**2 - 13*j - 35. Let w be u(f). Which is the biggest value? (a) w (b) -0.3 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29612667 divided by 2?\nAnswer: 29612667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38399144, -38399143, -38399142, -38399141, -38399140?\n\"Answer: y - 38399145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 368*u**3 - 8*u**2 + 26*u - 8887507 wrt u.\nAnswer: 1104*u**2 - 16*u + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = 0. Let v = x + 3. Let l(r) = -4*r**2 - 17 - r**2 - 7*r - 6*r - v*r**2. Let u(s) = -2*s**2 - 3*s - 4. Determine -2*l(h) + 9*u(h).\nAnswer: -2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1275\/(-102)*12\/15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -71\/168666?\nAnswer: -71\/168666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 + 5*i**2 - 4*i + 3. Let j be b(3). Let c = -80 + j. Calculate the remainder when 37 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 <= -172074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 41 = -5*f, -4*f + 4*p - 13 = -3*f. Find the common denominator of -81\/22 and 28\/8*f\/12.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974*x = -181*x + 85*x + 46010 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + 6 = 0. Suppose -6 + 1 = u, 3*p + 2*u = -4. Let v = p - q. Put v, -5, 4 in descending order.\nAnswer: v, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5215056002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3237141911?\nAnswer: 3237141911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o = -16. Let m(g) = -8*g + 3. What is the tens digit of m(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 30*u + 67. Let t be f(0). Solve -69*j + 8 = -t*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5417 - 5397. Solve 3*v - 2*f = z, -2*v + 12 = 3*f - 4*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15*s = 98. Suppose -s*j - 41 = 15. Put -3, j, -7, 1 in descending order.\nAnswer: 1, -3, -7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*g - 50275, -100561 = -353*t + 349*t - g. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -0.2, -0.3, -4, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 26.1, -0.2, 3, 1\/3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/4)\/12)\/(8\/168)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/(-352) + (-75)\/200.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**3\/2 + w**2 + 3*w. Let y be 36\/16 - 1\/4. Let s(g) = -4*g + 3. Give y*s(h) - 3*d(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 10*g - 7. Solve g - 5 = -x + z, -z = x - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 19 - 19)*(5 - 1 - 6 + 2*w) in the form q*w**2 + s + d*w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11)*h**7)\/(h**(-3)\/((h\/(h*h*h**1))\/h)) assuming h is positive.\nAnswer: h**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 1\/41 (c) -3\/5 (d) 1\/2 (e) -4 (f) -4289\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 less than 2053\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340469127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6877610.\nAnswer: 2, 5, 647, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3153439 is divided by 524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*u**4 - 25*u**3 + 15*u**2 + 64109 wrt u.\nAnswer: 12*u**3 - 75*u**2 + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -78*t - 8. Let j(z) = z - 1. What is 2*b(s) + 4*j(s)?\nAnswer: -152*s - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*o**2 + 483*o**2 - 963*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.39 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (6*(-2 + sqrt(275) + sqrt(275) - sqrt(275)) - (-4 + 2*sqrt(275)))*-1)*1.\nAnswer: -20*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 1034*h - 24 = -1029*h, 4*l + 3*h = -24 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from mqmmeqmem?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.3 (b) 4 (c) -1\/4 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*c = -40, -4*j + 19 = 2*c - 1. Let n be (-2 - 1)*8\/(-6). Suppose j*b = n*b - 1600000. Round b to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**16\/((f**(-14)*f*f)\/f)*(f*f\/(f*f**8)*f)\/(f**(-2\/5)\/f))**(-32) assuming f is positive.\nAnswer: f**(-3904\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*t**5 - 19*t wrt t.\nAnswer: -1040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - 83. Suppose -2*r - 4*c = -86, -r + 67 = -2*c + 20. Suppose 13*q - 8*q = r. Solve -4*v = -b + q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + -5 + (-1 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154.7 - -175. Suppose n + q = 4, 3*n - 88 = 5*q - 68. Sort j, 2, n.\nAnswer: 2, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1064 and 20596?\nAnswer: 288344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (21 + 13 + -20).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 10*n + 7. Let z be f(-11). Let r = -376\/99 - -54\/11. What is the closest to r in 0.2, -1\/3, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let r(m) = m - 2*m + k*m + 2. What is r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 24*h**2 + 21*h + 51. Determine o(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -296, -266, -262, -296, -380?\n\"Answer: -2*m**3 - m**2 + 47*m - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -5)*(-1 + (-1354)\/(-6)). Let x = -19025\/42 + f. Let j = -1757 + 13979\/8. Find the common denominator of j and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124084202 or 124084203?\nAnswer: 124084202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2072122 by 159394.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 3*c**2 + c + 5. Let j(s) = 52 - 19 - 14 + s**3 + s**2 - 18. Give -3*j(r) + n(r).\nAnswer: -r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3963 and 3.2?\nAnswer: 3966.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - 11*h**2 - 2)*(-3*h - 2 + 2).\nAnswer: 33*h**3 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((16\/26)\/4). Let l = k - 8. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**2\/k*k)\/k**(-6))**(7\/6) assuming k is positive.\nAnswer: k**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = 2. Let r(c) = -4*c**2 - 6*c - 6. Let p be r(-4). Is 14 a factor of j\/3*1*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43229 + 43401 - 5*a**5 + 10*a**3 - 3*a - 6*a**5 wrt a?\nAnswer: -220*a**3 + 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28631\/8 - 3579. Is -2429 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29 and 54063890130.\nAnswer: 54063890159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 - 45 - (1 + 12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2 - v - 1. Let y be b(-1). Suppose 0 = o + 2*d - 6, -y*o - 2*d = -4*d + 16. Calculate the remainder when ((-1)\/o)\/((-1)\/(-20)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1312169935?\nAnswer: 5, 167, 1571461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 13. Calculate the smallest common multiple of (1 - -1)\/((-1)\/(-21 - -10)) and f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**3 - 2*m**2 - 153*m + 154. Calculate h(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 + 109.5. Let l = 48 + -58. Which is the second biggest value? (a) -5 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29934272 divided by 1870892?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/31728 and 3\/211520?\nAnswer: 634560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8614 (base 11) to base 5\nAnswer: -331024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9764.9976452 - -9765. What is k rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/3 - 92*t**3 + 640*t**2 + 52276*t\/3 - 17974 = 0. Calculate t.\nAnswer: -11, 1, 19, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019128?\nAnswer: 2, 11, 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (146\/340)\/(8\/(-549260)). Let z = q - -29483. What is the common denominator of -75\/4 and z?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-330))\/((-8)\/90)*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 - 330*r - 2*r**2 + 334*r - 6*r**3 + 2 - 2 as g*r**4 + k*r**2 + t*r + n + f*r**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/4 + 3243*t**2\/2 - 38889*t\/4 + 14580 = 0. Calculate t.\nAnswer: 3, 6480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 4. Let k be h(-6). Is 8 a factor of (-33)\/3*k - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)\/sqrt(4))**2*5 + (2 + (sqrt(5) - (sqrt(80) - sqrt(5))))*4 + -4 + 5.\nAnswer: -8*sqrt(5) + 909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 32, -1, 396 in decreasing order.\nAnswer: 396, 32, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 3.7103\nAnswer: 18.5515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 5030272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 - 514*g - 7335. Give y(-16).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-304 + 167 + 251)*(3*j - 2*j**5 - 3*j) + (2*j**2 + 5*j**2 + 11*j**2)*(1 - 2*j**3 - 1).\nAnswer: -264*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.313 minus 5?\nAnswer: -0.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4609*z - 9247*z + 3023*z to the form s*z + u and give s.\nAnswer: -1615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404048 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -202 - -101. Let t = 104 + m. Which is smaller: t or 12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 212 equal to 325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -59. Suppose -14*c = -q*c - 25. Solve 2*y + 10 = -2*b, c*y = -4*b + 3*b - 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, 3, 22, -5, -1, -4 in descending order.\nAnswer: 153, 22, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y + 3. Let u(j) = 4*j - 2. What is 3*c(f) + 4*u(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -890261.\nAnswer: -4451305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(8 + -4) - -2. Let d be (-12 + 13)*3\/(-387*z). Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35.2229, 0.2, -1.8?\nAnswer: 35.2229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*w - 35*w - 39*w**2 + 7*w**2 - 42*w.\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 18*o**7\/35 + o**5 + 20*o**2 - 73. Let d(p) be the second derivative of f(p). Find the third derivative of d(b) wrt b.\nAnswer: 2592*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**10\/(t*(t\/t**(10\/9)*t*t)\/t) assuming t is positive.\nAnswer: t**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s + 54. Determine g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 9, -2\/7, -4\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000977 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 174\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)\/(sqrt(77)\/sqrt(7)))\/(sqrt(648)*-2) + (-2*sqrt(50)*-2)\/(-2*sqrt(490)))**2.\nAnswer: 9245\/15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4856 - -4853. Let l = -14 + 9. Which is the closest to k? (a) l (b) 0 (c) 5 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 22, 165 in increasing order.\nAnswer: 4, 5, 22, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -5.7. Let f = 0.6 - -3.4. Which is the second smallest value? (a) z (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-56)\/12)\/(-7)*24 is divided by 8 + (2 - (-3 + 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*u + 2781 = -216*u - 5861 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) -5 (b) -2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (815\/(-9) - -31) + 110\/(-45) + 2?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 - 8. Let g = z + 205.000114. What is g rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in -34, -0.2, 18.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 1. Let j(l) = -58*l - 43. Let k be (-4)\/(-26) + (-195)\/169. Let c(g) = k*j(g) - 4*n(g). Differentiate c(s) wrt s.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.949752 to 2 dps.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 - (-6 + (-6 - -10)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -14, -87, -11, -9 in decreasing order.\nAnswer: 8, -9, -11, -14, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215034 is divided by 419.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:21 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -6*g**5\/5 + 5*g**4\/4 + g**3\/3 - 5. Factor p(t).\nAnswer: -t**2*(t - 1)*(6*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 5*h**2 - 6*h - 9. Let b be t(-4). Suppose -r + b = -6. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45383 - -20679. What is g rounded to the nearest one thousand?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 24 - 182 - (-4 + -12).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.353*-1.27.\nAnswer: -0.44831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjjg when four letters picked without replacement from {q: 1, g: 1, t: 2, x: 1, j: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 4 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -100*s**4 - 595*s**3 - 470*s**2 + 1225*s - 60 = 0?\nAnswer: -4, -3, 1\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 1 + 33*s**2 - 34*s**2 + 0*s + 36 to f + a*s + d*s**2 and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2010 is divided by 347.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 29, 52, 81, 116?\n\"Answer: 3*g**2 + 8*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.848 + -41.96. Let f = -17 - q. Let y = f + -0.112059. Round y to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 59. Let q = 10.00000056 - x. Round q to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098898.6 rounded to the nearest 10000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4533*g + 9006*g - 34*g**3 - 17 + 17 - 4473*g.\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20999 - ((-4)\/(-8) + (-93)\/62). What is the highest common factor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 25) + (-1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2655*x + 64 - 64 + 4632*x.\nAnswer: 7287*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/290 and -27\/35.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (9 - 39) + (1 - 4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*b - 153 + 76 + 79)*(-3 - 2 + 1).\nAnswer: -88*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 15\/4, -595, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-6)\/2)\/(-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 162, 189, 238, 315, 426, 577, 774?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + a**3 + a**3)*(-3*a**2 + 13 - 13) + a**5 + 0*a**5 + a**5 + (-3*a**4 + a**4 + 0*a**4)*(4*a + 0*a - 2*a).\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -18 - (6 + -15 + 12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204877*s - 204877*s + 79*s**3.\nAnswer: 79*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s**3 + 0 + 0)*(-s - 4*s + 6*s) + (1 - 1 + 2*s)*(3*s**3 + 2*s**3 - 3*s**3))*(-7*s - 8*s + 2*s).\nAnswer: -26*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (0 - 1) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p = -2*f - 58, -p - 6 = 4*f. Are p and 57\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3*1*-3. Let d = 9 - 18. Is 3 a factor of g\/2*(-1 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6423 is divided by 2108?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2193 - -3559. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 13. Let x(u) = -2*u + 7. Let o be x(5). Let i(t) = 35 + 2*t + 16 - 79 + 35. Suppose -3*g - 3*z + 25 = 2*g, -2*z + 5 = g. Give g*i(m) + o*k(m).\nAnswer: m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j + 16*j - 9*j + 1. Let q be l(1). Is 3\/8 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2167329 meters?\nAnswer: 0.0002167329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 13, o: 1, v: 3}. What is prob of sequence ev?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -430 - 1344?\nAnswer: -1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**23\/(q\/q**7*q))**(-40) assuming q is positive.\nAnswer: q**(-1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -39. Which is the smallest value? (a) 2 (b) 0 (c) 2\/3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 - y - 3. Let d = -28 - -18. Calculate the remainder when 18 is divided by g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04479966 to 3 decimal places.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2227682 by -113.\nAnswer: -19714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252.9430496 - 95324.\nAnswer: -95576.9430496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 13. Let t be (3 - d)\/3 + 35. What is the remainder when (1 + -4)*t\/(-3) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -5*f + 12, -7*g + 8*g + 4*f - 18 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 28 = 5*v - 2*v, 0 = -3*v + 2*a - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-67 - (-24 - 1))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/111492 and 109\/18582?\nAnswer: 111492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/5)\/(y*y**(-3)))\/(((y*y*y\/(y*y**7)*y)\/y)\/y*y*y**(-6))*(y**1\/y*y)**(-10)*(y*y**(-7))\/y*y**(1\/3) assuming y is positive.\nAnswer: y**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4 + -32.4. Let l = -27.96573611766 - 0.03426419234. Let y = l - r. What is y rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594474523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*d - 5*n + 23, -2*n - 4 = -d. Suppose 2*l + d = 5*j - 6, 5*l + 4*j = -7. Let g(h) = h**3 + 4*h**2 + 3*h - 3. Calculate g(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*o - 0. Let j be (-17 + 18)\/(2\/(-12)). Let t be (-66)\/(-44)*(-16)\/j. Calculate the highest common factor of t and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 - 66024*c\/11 + 264128\/11.\nAnswer: -2*(c - 4)*(c + 33016)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 5, -7, 3, 80, 1, -1 in descending order.\nAnswer: 80, 5, 3, 1, -1, -7, -41","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 19169.\nAnswer: -19169.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 115 = 35*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2 - 2)*(-3*g - 2*g + 3*g)*((1 + 0 - 2)*(-3 + 5 - 3) - 2 - 2 + 2 + 2 - 4 + 4).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122\/91 + (-4)\/14 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvvy when four letters picked without replacement from {v: 1, y: 2, n: 1, h: 1, b: 2, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 4, 5, -52, 2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3. Let n(v) = 10*v**3 - 2*v**2 - 2. Determine -n(t) - 6*x(t).\nAnswer: -4*t**3 + 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35899 - -85027. What is the highest common divisor of s and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.169752 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.3, 54, 7\/2, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -189*s. Let d(p) = -17*p**2 - 39. Let z(u) = -4*u**2 - 9. Let f(g) = 6*d(g) - 26*z(g). Determine l(f(q)).\nAnswer: -378*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = 33*j - 36*j. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 3. Let m be o(6). Suppose 0 = -2*v + m*j + 323, j + 0*j = -5*v + 816. What is the remainder when v is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 16*q**2 + 12*q + 60. Calculate i(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-83*(5 + -6). Suppose x*p - 84*p = -9. Which is the third biggest value? (a) 0 (b) -1 (c) p (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16 = q + 5*t, 4*q = 4*t + 16. Suppose 293 = -2*u + 5*u + 2*f, 3*u = f + 290. Suppose u = q*k + 69. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-731)\/2)\/(-16 - -18). Let r = s - 184. What is the closest to r in -5, -0.3, -8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/7 - 15590*o**2\/7 + 25*o\/7 + 389750\/7 = 0.\nAnswer: -15590, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.439842 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = 40. Let s = u + -8. Is (-12)\/(-6) - (-147 + s) 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 {n: 8, b: 5, s: 4, e: 2}. What is prob of sequence bs?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -0.01?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.351 + 0.492. Round m to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(833) + (sqrt(1088)*1 + sqrt(1088))**2.\nAnswer: 14*sqrt(17) + 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m + 18993 = 77883. Calculate the highest common factor of m and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 2*n + 2*n)*(-274 + 146 + 141) to y + k*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) -42 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**1)\/r)**(-13)*r**4*r\/(r**2*r))\/(r**(-8)*r*r*r**2*(r**(-1\/2)\/r)**(1\/42)) assuming r is positive.\nAnswer: r**(533\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -4181?\nAnswer: -4188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -12*(18 + 15636\/(-72)) and 8?\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = 5*x, 0*o - 2*o = -3*x + 3. Suppose o = 11*b - 8*b - 9. Suppose -3*n + 3*h = -216, -b*n - 5*h + 246 = -2*h. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose -3*a + 3 = 0, g*a = 2*m - 5*a - 17. Let c(i) = -2*i**3 + 66*i**2 - 2*i + 67. What is the smallest common multiple of m and c(33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*b - 220*b + 373*b - 1897*b**2 + 803*b + 695*b**2 wrt b?\nAnswer: -2404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:38 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -25. Let w = 5 - 0. Let c(l) = 2 - w + h + l. What is c(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 33 = -o, -4*o - 46 = 5*c - 3. Let w(a) = 5*a**3. Let k(g) = 4*g**3. Determine c*k(x) + 6*w(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59747 + 5456. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16450 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 423 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**3 + 333*w - 1637*w - 1278*w**4 + 588 + 587 + w**2 - 1174 wrt w?\nAnswer: -30672*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22604, -180742, -609936, -1445714, -2823604, -4879134?\nAnswer: -7747832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -15*h**4\/2 - h**2\/2 + 612. Give a(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - f. Let a(k) = k**3 + 5*k**2 + 11*k. Let p(r) = -a(r) - 5*g(r). Let d(m) be the second derivative of p(m). Let h(t) = -2*t. Determine h(d(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (2 - 2) + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8992\/(-24))\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2927*i + 1469*i - 2*i**2 + 0*i**2 + 1458*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5*1)\/(77\/198*34\/595)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515921809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utftt. What is prob of picking 1 u, 1 f, and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/73? (a) -2\/7 (b) 2\/7 (c) -2\/17 (d) -3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341032013 - -3?\nAnswer: -341032010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63175.36 millimeters in nanometers?\nAnswer: 63175360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 545 - 555 - ((-3440)\/(-8))\/(-5).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 198 + -200 + -1 + (0 - -2504)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*r - 225 = -370*r + 79 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 6*o + 4. Let l be s(6). Suppose l = -4*f - 4*j, 3*j = f - 2*j - 17. Find the second derivative of 2*q + 2*q**f + 0*q - 4*q wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 16 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 14*p - 2. What is the remainder when l(-18) is divided by 22 + 6*(-4)\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -446 divided by -2\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/((f*(f**6\/f)\/f)\/f))*f)*(f**(-11)*f)\/f)\/(f**(1\/4))**(3\/8) assuming f is positive.\nAnswer: f**(-483\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2760266*l + 301127.\nAnswer: -2760266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/55275702 and -127\/48.\nAnswer: 442205616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8545)\/10254*(-4)\/(-5))\/((-4)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1328 and 6024970?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.0332, 0.4, -1?\nAnswer: 0.0332","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24660 and 6615045?\nAnswer: 26460180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - g**2 - 2*g**2 + (-g - 2*g**2 + g)*(6 - 2 + 5) + 2*g + g - 12*g + 2*g**2 to x*g + k*g**2 + n and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5653 (base 8) to base 6\nAnswer: -21455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 10*a - 6. Suppose 5*j - 33 = -h, -3*j + 29 = -5*h - 2. What is l(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c6 (base 13) to base 14.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/14 + 4\/14. Let g(k) = -2*k - 1. Let a be g(-3). Solve z = 3*s + a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 0*z - 658 = 0. Let o = 51 + z. Solve -2*q + 4*q - h + 12 = 0, -3*q + 4 = o*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**9\/10080 - s**8\/560 + s**7\/112 + 19*s**4\/24 - 62*s**2. Let a(t) be the second derivative of v(t). Let a(c) = 0. What is c?\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8188 + -8183. Sort o, -2, -118, -5 in decreasing order.\nAnswer: o, -2, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13) + 3 - sqrt(13))**2 + (sqrt(13) - sqrt(208)) + 2 + sqrt(13).\nAnswer: -2*sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198688 divided by 1774.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147)\/(-343))\/(10\/28)*1\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - ((-51 - -30) + -54).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 1 - 1)*(4*d**2 + 9*d**2 - 3*d**2) + 14*d**3 + 10*d**3 + 13*d**3 to the form h*d**2 + f + i*d**3 + u*d and give i.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 3*q. Solve 4*a - 2*o + q + 6 = 0, o = -a - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 183 - 41 = 0. Let n(o) = 3*o + 1. Let s be n(-1). Let c = j - s. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131*s + 175*s - 103*s)*(10*s - 15*s + 9*s).\nAnswer: -236*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 729 and 8361.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = 3*x. Let u be x\/(-2)*(-4 - -4). Let a(w) = 17 + 3 - w**3 - 5. Calculate a(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -5, 4, -34603, -12 in decreasing order.\nAnswer: 5, 4, -1, -5, -12, -34603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) - 26\/7. Let y(d) = -6*d + 4. Let f be y(b). Is 3604\/f - (-2)\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4\/3 + 5429536*z**3\/3 + 7369954434728*z**2\/3 - 29479969766080*z\/3 - 29479904611600 = 0.\nAnswer: -2714770, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 5:42 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.2 (b) -13032 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {l: 1, v: 1, d: 2, f: 1, u: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 179066893 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*m = 545*m + 5336 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, x: 4, l: 10}. What is prob of sequence ww?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, 2\/11, -14, 74, -5\/8 in ascending order.\nAnswer: -14, -9, -3, -5\/8, 2\/11, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7043806*x**2. Let u(h) = -3*h. Determine b(u(o)).\nAnswer: 63394254*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 11)\/9 + (-6)\/(-2). Which is greater: 0.073 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -3 - (-4 + 3). Let w(s) = s - 2. Let o be w(g). Solve 2*b + o = b - 4*f, -4*b - 3*f = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*t**2 - 986*l*t + 2227*l + 2*t**2 - 140*t + 507 wrt t.\nAnswer: 4*l*t - 986*l + 4*t - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/133 and 25\/209.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/d**(-7\/3)*d)\/d)*d*d\/(d**(2\/11)*d)*d*d assuming d is positive.\nAnswer: d**(16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-1\/10)\/b*b))\/b**(9\/5))\/(b**(-3))**(10\/11) assuming b is positive.\nAnswer: b**(223\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17602.\nAnswer: 2, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 3*q**2 + 4*q - 2. Let t be j(2). Let p(h) = -4*h**2 - 2*h**2 + 0*h**t. Let o(g) be the first derivative of 2*g**3\/3 + 54. Determine o(p(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -27*o**5 - 1380*o**4\/7 + 9357*o**3\/7 - 15000*o**2\/7 + 6996*o\/7 - 720\/7 = 0.\nAnswer: -12, 1\/7, 5\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 185 + -57b?\nAnswer: -3d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/258676 and -49\/105822.\nAnswer: 2328084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, -364163.\nAnswer: -364163, -18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 25 = 0. What is the greatest common factor of w and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/4*278\/139.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46505269 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7499942029 to the power of 1\/3, to the nearest integer?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - 6*q - 8. Let k be l(5). Factor k*o**2 + 8 - 139*o**2 + 68*o**2 - 26*o.\nAnswer: -2*(o + 1)*(17*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + c**5 + c**5 + (-c**3 + 2*c - 2*c)*(-c**2 - 2*c**2 + 4*c**2) - c**2 + c**2 - 2*c**5 - c**3 - c**5 + c**3 - 2*c**5 + 0*c**5 + 5*c - 1 + c**5.\nAnswer: -6*c**5 + 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05661 in -1\/7, 2\/53, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = -0. Calculate the least common multiple of 7 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 540012 = -4*o, 4*o - 3*u = -517585 - 22403. Round o to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*g - 6*g - 3 = 0, -5*g = 4*o + 5. Suppose 0 = -4*c + 2*z - 4*z + 40, -3*c - 4*z + 20 = o. What is the highest common factor of 60 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 597+-9\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 2*t - 20, -g + 17885*t = 17882*t + 5 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 10220*u**3 + 3*u**2 - 88*u - 320. Let j be k(-4). What is j rounded to the nearest ten thousand?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1568)\/343*(1 + -4 - (-102)\/(-68)). Factor -m*b + 2\/7*b**2 + 2592\/7.\nAnswer: 2*(b - 36)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/7)\/(9438\/2541)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38b - -5?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + 5 + -5 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 25 = -p. Let g = 13 - 9. Solve -4*i = -4*d + g, -i + 14 = -d + p*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 770.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 21. Let o be r(17). Let z be (2\/(-80) + (-18)\/48)*-5. Let q = 10 - 15. Put 0, z, q, o in increasing order.\nAnswer: q, o, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p - 6299 = 3867. Let h = 3982\/9 + p. Which is the nearest to h? (a) 2\/7 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -54\/5, 1.\nAnswer: -54\/5, 1, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 238.448*-14\nAnswer: -3338.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812814651?\nAnswer: 3, 11, 8210249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 9. Let j be w(14). Let d = j - -8. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, a: 5}. What is prob of picking 2 p?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*g + 10 + 78, 4*g = d - 92. Let k(n) = -n**3 - 26*n**2 - 47*n + 100. Let c be k(-24). Does c = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 5) to base 3.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/3 - (-4)\/3. Suppose 0 = a + 2*f - 1, -a - w*f - 11 = -3*a. Differentiate 21 + 2*i**3 - 7 - 3*i**a wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -5. Suppose 0 = -12*q + 16*q - 20. Suppose -h = a*s - q*h + 22, 3*s - 6 = -4*h. Is s bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqq. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311 (base 7) in base 8?\nAnswer: -762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/84613 - 213647083\/8968978. Let h = w + 276609\/11077. Let v = h - 23\/22. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 0.4 (c) 2\/489 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -172, -146, -98, -22?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*-2 + 26. Suppose 0 = -5*h + 5*t + v, -4*h = 4*t - 2*t - 14. Suppose -4*n**2 - 4*n**4 + 4*n**3 + 12*n**h - 2*n**3 - 6*n**5 = 0. Calculate n.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -156\/11, 2, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23560, -4, 722 in ascending order.\nAnswer: -4, 722, 23560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 9. Let j be h(5). Let f be (-5)\/j + (-4 - -8) + 4. Solve -4*p = f*k - 15, -p + 5*p - 25 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 17 - (13 + -147 + 9 + 15).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 61*j - 17. Let t be p(8). Suppose 5*o - 4*s = t, 4*s + 474 = 5*o + 3*s. Calculate the remainder when o is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 16 - (6 - 6) - -2?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/120 + w**5\/60 + 5*w**4\/4 + 154*w**2 - 2. Suppose l(r) = 0. What is r?\nAnswer: -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 24*q + 128. Let n be k(16). Solve n = -22*t + 26*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.076.\nAnswer: -0.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -39. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4*-1)\/4)\/((-4)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 - 19*t**2 + 7*t - 7. Let n be a(7). What is the derivative of -36 + n*z**4 - 152*z**4 - 8 wrt z?\nAnswer: -48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/3 - 1031*l\/3 - 1028 = 0. What is l?\nAnswer: -1028, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3537 = -4*s - 342, 4*m + 820 = s. Let c = s - 797. Let 0 + 4\/11*r**c + 2\/11*r**4 - 4\/11*r - 2\/11*r**2 = 0. What is r?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*s - 7*s. Let c = 2 + 2. Suppose -3*n + 8*n - 50 = -5*i, -s*n + c*i = -20. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = 3*s - 7*t, 3*s - 4 = -t. Put -3, 36, s, -38 in descending order.\nAnswer: 36, s, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -701191 or -701174?\nAnswer: -701174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l - 9. Let b(c) = -11*c + 8. Let r = -11 + 4. Let s(w) = r*b(w) - 6*t(w). Let d = 4 + -2. Give s(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/116535 and -65\/5484.\nAnswer: 466140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*o + o. Suppose 19*p - 1860 = o*p. Is 31 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -131799*h**3*t**2 + 565550*h**3 + 4*h**2*t**2 wrt t.\nAnswer: -263598*h**3*t + 8*h**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*n + 7*n + 930, -4*a + 2*n - 744 = 0. Put 2\/15, a, 0.1, -2\/5 in decreasing order.\nAnswer: 2\/15, 0.1, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21828090 and 600.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21867 (base 12) in base 7?\nAnswer: 243352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 + 60.1. Let w = 2.9 + n. Let s be (-14)\/(-4)*6\/14. Sort -1, s, w in increasing order.\nAnswer: -1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = -26*b - 158. What are the prime factors of b?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) + (-3)\/2. Let h(m) = -82*m + 3 - 3. What is the units digit of h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16484 - 16484.7. Put 0.96, k, 2\/3 in decreasing order.\nAnswer: 0.96, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 17\/6, 68 in decreasing order.\nAnswer: 68, 3, 17\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30352.57 rounded to the nearest ten?\nAnswer: -30350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z - 2*z**2 - 25*z + 4*z**2 - 4*z**2 as m*z**2 + t*z + j and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/3 = 18534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813967967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/32526 and -127\/3432.\nAnswer: 1431144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 92497, 370049, 832633, 1480249, 2312897, 3330577, 4533289?\n\"Answer: 92516*z**2 + 4*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228480 and 33.\nAnswer: 2513280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270714 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759148.\nAnswer: 2, 13, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(228) - sqrt(228)*1))\/((1*sqrt(60))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 194835595, 194835598, 194835601, 194835604, 194835607?\n\"Answer: 3*c + 194835592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/6))**12 assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from ivivvvviivvvvv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30818408 is divided by 9035?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4285 by 857.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - n - 1. Let t(q) be the third derivative of -q**5\/60 - q**4\/6 - 7*q**3\/6 - 4*q**2. Let k(d) = t(d) - 2*w(d). Is k(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1967931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 5 - 5)*(y**2 - 8*y**2 + 13*y**2).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.1, 1, -5\/21 in increasing order.\nAnswer: -3.1, -5\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 68*p**2 + 8*p + 2. Suppose -56 + 34 = -3*d + 4*g, 2*g + 18 = 5*d. What is the hundreds digit of j(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 2*y**2 + 1. Let g be a(1). Suppose 0 = -p + 28 - g. Suppose -n + p = n. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60542\/108317 - -2\/2519. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*a = 23, 0 = d + a + 4*a - 2. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d = 21*d + 188. List the prime factors of d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -25*u + 22*u, 0 = -3*d + u + 2268. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156661 is divided by 74990?\nAnswer: 6681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3327*u**4 + 232884*u**3 - 4298064*u**2 + 7684272*u + 13872 = 0. What is u?\nAnswer: -2\/1109, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.8 - -2.2. Let j = c + -13. Suppose 81*z = 75*z - 18. Sort z, j, 2\/5, 0.3 in increasing order.\nAnswer: z, j, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**10\/k**(-3\/7)*(k**(2\/11)\/k)**43 assuming k is positive.\nAnswer: k**(-1906\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.78 and -0.2007.\nAnswer: -7.9807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + 94*s**2 - 18*s - 5. What is the tens digit of j(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104180 divided by 20836?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 36. Let b = 14 - i. Let t = 24 - b. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from kzzzohqzhozqqzzoo?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-474)\/(-4)*(-15)\/(-630) and -79\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + -5 - 24\/(-18)*8. Let 1\/3*b**2 - k - b + 1\/3*b**4 + b**3 = 0. Calculate b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.566429 to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -4*b**3\/3 + 6*b**2 - 207. Factor a(t).\nAnswer: -4*t*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178158123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - -5. Let u be 6\/(-9)*m\/(-2). Calculate the greatest common divisor of 26 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 171.999?\nAnswer: 12.03993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/4*1)\/(2\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/(4\/(-78)). Suppose c = 11 + m. Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 304 - 204. What is the remainder when u is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1))**(4\/21)*w\/(((w**3\/w)\/w)\/w)*w*w**(1\/3) assuming w is positive.\nAnswer: w**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 474 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4309835\/28 > -153924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.4891193 months to centuries.\nAnswer: 0.00124093275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 2*x + 2*x + (5*x - 2*x - x)*(-1 + 3 - 1))*(-7 - 15 - 3) as b + g*x and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (5 - 42 - -4). Suppose -v - 22 = -13*x. Solve -7 = k - x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -10 + (2 + -1 - (-11 + 8))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 greater than or equal to -201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3 - -5)\/(-4))\/(4\/(-80)). Suppose -d = -4*v + 22. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + (sqrt(2299)*2)**2)*-1 + (-2 + sqrt(2299)*2 - sqrt(2299)))*-4 + ((sqrt(57)\/(sqrt(9)\/sqrt(3)))**2 + sqrt(475) + -1)*-1.\nAnswer: -5*sqrt(19) + 36774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((272\/(-17))\/224)\/(2\/2)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/1080 and -91\/150.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.34 and -0.03348.\nAnswer: -0.0113832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjsjsjjbjsjjjjjjj. What is prob of sequence sjj?\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -268*v**2 + 32986*v + 406*v**3 - 46*v**4 - 32938*v + 14*v**5 - 154*v**4 = 0. What is v?\nAnswer: 0, 2\/7, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/((-24)\/20))\/((-25)\/10). Let f be (-2)\/4*(-6 + s + 4). Which is smaller: 2\/775 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - t**3 + 1389*t**2 - 5*t - 562*t**2 - 821*t**2 as y*t + s*t**2 + a*t**3 + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251.72433 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10*14*3\/(-15). Suppose 2*y + 20 = r. Solve 8 = y*g - 4*z, z - 4 = -3*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x + 1. Let o be 1\/2 - 33\/6. Let z be -1*((-27)\/3)\/3. Let l(f) = 2*f + 1. What is o*l(t) + z*v(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1397047779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0502*0.2\nAnswer: 0.01004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -37*m**3 - 3*m**2. Let j be k(-2). Suppose -2*c = -2*v - 0*v + 200, 0 = 3*v + c - j. What is the greatest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542710.6 millennia to years.\nAnswer: 542710600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -315502616 (base 7) to base 2\nAnswer: -1000111101011101100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o + 30. Let r = -1071 - -1065. Give a(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -352\/3*b**3 - 196\/5*b**5 - 183 + 0*b + 175*b**4 + 24*b**2. Factor p(m).\nAnswer: -4*m*(m - 3)*(7*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 327.20263268 + -188.20263179. Let b = m - 139. What is b rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/y**(-1\/4))\/y*y)\/(y*(y*y\/y**(-2\/3)*y)\/y))\/((y**0\/y)\/y*y)**(-1\/22) assuming y is positive.\nAnswer: y**(-61\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*j - 24, 5*m + 5*j + 0*j = 20. Let d(c) = c + 11. Let v be d(-7). Let o = 45 + -48. What is the second biggest value in m, o, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 11:57 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 8:36 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**7\/70 + 3*l**5\/20 - l**4\/4 - 4*l**2 - 18*l. Let u(d) be the first derivative of i(d). Factor u(o).\nAnswer: -3*o*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-15))\/(9\/3870). Calculate the common denominator of (38\/(-7))\/((-24)\/10) and y\/(-6)*51\/(-170).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2 + 12537*r + 907848 = 0.\nAnswer: -72, 12609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/8)*z**(3\/14)*z)\/(z**1\/z)**(-23) assuming z is positive.\nAnswer: z**(47\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2080 and 2099695?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 1088394595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 6*d - 54. Let b be h(12). Let v = b + -301. What is the smallest common multiple of 7 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = z - 18240, -82*z + 86*z = 2*g + 72960. Is z a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -143*f + 139*f + 68. What is the remainder when (0\/3 - 6\/(-2)) + 38 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/19 - 25294*r**2\/19 + 79935350*r\/19 + 240033750\/19.\nAnswer: 2*(r - 6325)**2*(r + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - 1) + -2 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1020 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 711*i + 4258. Give o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -104, -117, -146, -197, -276?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 4*x + 1 - 1 - x + (-3*x + 3 - 3)*(-1 + 1 + 2))*(-2*x + x + 0*x) + x**2 - 2 + 2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*n - 13, -s + 5*n = s - 10. Let k be (s + 4)*(-4 - 1). What is the nearest to -0.2 in 0.3, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -21*s - 41. Let z = 0 - 0. What is the closest to -1 in 1\/3, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15018484*x**5 - 1742*x + 10555 wrt x?\nAnswer: 300369680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and -5 + 2 - (-10)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14426 or -1269357\/88?\nAnswer: -1269357\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 4*w**2 - 7. Let x be l(-4). Calculate the common denominator of (x - 136\/(-28))*9\/(-10) and 2\/80*(-79 + 1).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3081.\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 29*r**2 - 339*r + 67. Determine p(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1681778*i**4 + 6734448*i**3 - 5074686*i**2 + 22040*i - 24 = 0.\nAnswer: 2\/917, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -525234250?\nAnswer: 525234254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036309 rounded to five decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2*4)**2 - (-2 + sqrt(6)\/sqrt(2)*5).\nAnswer: -5*sqrt(3) + 6914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 8\/6*(-6)\/4. Suppose 0 = 2*z - a*z + 2. What is the fourth smallest value in -0.2, -4, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 15*x - 7*x)*(2 + 2 + 7) + 22*x - 45*x + 18*x in the form l + w*x and give w.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 442373.3 - 644\nAnswer: 441729.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 4, u: 2, n: 2, j: 3, p: 2}. What is prob of picking 1 o, 1 j, and 1 u?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/11, 1\/6, 0.3, -22\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 200003 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54336 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: Is 11171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 47 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 - 131. What is the greatest common divisor of f and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.27, -1.1, -0.1, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3772739, -3772746, -3772753, -3772760, -3772767?\nAnswer: -3772774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30727463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -41 (c) -3 (d) 2.3 (e) -12\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (41 - (-6 + 3)). Suppose 0 = -5*r + 10, -j + 4*r = -r - m. Suppose -3*n - j + 269 = 4*w, -2*n + w + 157 = 0. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 20*g + 62. Let w be b(-3). Let m(f) = -f + 2. Let d(z) = -1. What is w*d(t) + m(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29153 is divided by 217?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q + 2. Let w = 5 + 0. Let n(x) = 4*x + 1. Let m(g) = -6*g**2 + 194*g - 66. Let y be m(32). Determine w*n(r) + y*a(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*c = -21*c + 14040. What is the remainder when c is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1373 + 1383 + 17 + 1 + 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -2190769 + 225278. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -262 greater than -262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/((w\/((w**(-9\/5)\/w*w)\/w))\/w))\/w)*w\/w**(5\/4))\/((w\/(((w**(-3)*w)\/w)\/w))\/w*w*w**(-4)) assuming w is positive.\nAnswer: w**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0)\/((-1)\/(-2)). Let w(d) = d**3 - 10*d**2 - 6*d - 40. Let j be w(11). Find the second derivative of 7*p**s + 6*p + 11*p - j*p wrt p.\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6 - 2 + 9*m - 1 - 7*m. Let c(g) = -20*g - 33. Let d(u) = -44*b(u) - 4*c(u). Let k(h) = -24*h**2. What is d(k(l))?\nAnswer: 192*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from fkkf.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -59*(-4 - -3). Let f be (-1 + -149)\/(3 - (-1 + 5)). Calculate the greatest common divisor of b and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.974 + 20. Let u = 0.026 - y. Which is the nearest to u? (a) 0.1 (b) -20 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12372\/22817 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110647720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94.7 + -12.7. Let w = q - 86. What is the nearest to 0 in 3\/4, 2\/7, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -158\/117 + 17063\/10296. Calculate the common denominator of c and -29\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3313, 3140, 2665, 1738, 209, -2072, -5255?\n\"Answer: -25*h**3 - h**2 + 5*h + 3334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-382568\nAnswer: 76513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 280, 296, 330, 388, 476, 600, 766?\nAnswer: 980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 498, 1144, 2048, 3210, 4630, 6308?\nAnswer: 8244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*s*t**2*u*x + s*t*u*x + 61*s*u*x + 27*t**3*u*x + t**3*x - 2*t*x + 9*u*x + 2*x wrt t.\nAnswer: 50*s*u*x + 162*t*u*x + 6*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j**2 + 3*j + 2. What are the prime factors of b(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 1) + (-15)\/(-15). Suppose -r*t + 39 = 2*f + f, 4*t = 0. Calculate the highest common factor of f and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-210)\/40)\/(4\/32*-6). Solve 3*j - t = 10*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 43.4173.\nAnswer: -13.02519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/(u\/(u**(1\/4)\/u)*u))**(-7) assuming u is positive.\nAnswer: u**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*y + y - 175*y - 59*y)*(3 - 6 + 1)*(5*y + 6*y + 2*y).\nAnswer: 8450*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4993856 is divided by 156.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09315555827 + -1.2.\nAnswer: -1.10684444173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sggs when four letters picked without replacement from ggss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = 4*a - 7*a. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3*(2 - -10). Suppose -o + b*o = 0. Solve o = -a + 5*n - 19, -4*a + 5*a = -3*n + 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.86175 and -78.\nAnswer: -1627.2165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27319564 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 9 (c) 37 (d) 182 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96146722 and 784?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 22*c**2 + 76*c + 3. Let p be b(25). Is p bigger than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(833) - 2*sqrt(833))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -55. What is the remainder when 0\/(-2) - -1 - -14 is divided by g - (-6)\/5 - 87\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*4*(-4)\/(-32)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 33 = 2*c + b, -90 = -3*c + 4*b. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41558208708 and 26.23.\nAnswer: -41558208681.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169059.\nAnswer: 1169059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.493, -0.4, 3\/5?\nAnswer: -0.493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.6, 1\/5, -0.07, -3, -1\/2, -0.1863, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30476191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*s - 19*s**3 - 13*s + 31*s wrt s?\nAnswer: -114*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)*i)\/i**(-2\/9))\/((i*i**(-1)*i)\/i)**(-5\/6) assuming i is positive.\nAnswer: i**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3864\/(-345)*10\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + 28*h**3 + 73*h**3 + 2*h**3 + 43*h**3.\nAnswer: 150*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*j - 10 = 0, -2*j = 5 - 3. Let v be (i - 0 - 0) + 1. What is the second derivative of -3*c - 21*c**2 + 21*c**2 + v*c**3 wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d7 + 18?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q - 2375. Calculate p(-209).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 4*z**2 - 4*z - 1. Let n be s(-3). Suppose -5*v = 2*f - 130, 40 + 23 = f + n*v. Calculate the highest common divisor of 22 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -17 - -9) + 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6464 + 0*d**2 - 6*d**2 + 11*d**2 - 3*d**2.\nAnswer: 2*d**2 - 6464","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3716*t**3 - 4*t**2*u - 2*t**2 + t*u + 3678*t + 5 wrt t?\nAnswer: 22296*t - 8*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 82012 divided by 101\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 239430201 divided by 239430201?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1. Let n(i) = 2*i + 5. Suppose c - 3*y + 11 = y, -5*c = -2*y + 1. Suppose -2*w = -3*q - 4*w + 14, w - 5 = -q. What is c*n(h) + q*j(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42017367?\nAnswer: 3, 7, 167, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t = -1. Let b(h) = h**3 - h + 1. Let c(y) = 2*y**3 - 6*y + 6. Let w = 87 + -81. What is t*c(v) + w*b(v)?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419 a factor of 141146095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -465 and -5.\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0*c + c + 5 - 2. Let y(a) = -2. Suppose -5*l + 4*n = -11, -6*l + 11 = -2*l - n. What is l*y(i) + 2*k(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3810 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -412, -859, -1476, -2269?\nAnswer: -3244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137638 or 137642?\nAnswer: 137642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 144971 and 13.\nAnswer: 144984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -102310?\nAnswer: 102320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 192 = 3*o, -7*o = -2*o - 3*m - 320. Let z = 66 - o. Which is smaller: 10 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 24. Suppose 3*k - 4 = l*k. Solve -5*q + 0*i + k*i = -16, -3*i = 5*q - 23 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 922 + 139. Suppose -2*h - 3*s + 44 = -85, 3*s - u = -4*h. Calculate the smallest common multiple of 1 and 1\/(-4) - h\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 7) to base 16\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 7*n - 48. Give z(-4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9 = 66050*l - 66053*l, -2*l + 6 = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*x + 138 = -87*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 3398*g + 857621. Calculate n(-236).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1344374262 or 1344374264?\nAnswer: 1344374262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 621526*k**3*z**2 - 7*k**2*z - 99*k**2 - 4*k*z**2 - 3*z**2 + 5*z wrt k.\nAnswer: 3729156*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4 = 279*o - 295*o, -4*l = -2*o - 3*o - 19 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Suppose -r*o - 6*j + 8 = -4*j, -4*j = -4. Suppose -b + 3*u = -8, o*b + 3*u = -3*b + 40. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/8 and -83\/58384.\nAnswer: 58384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 5:19 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 10:41 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 389295?\nAnswer: 4282245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -10*o**3 + 13*o**2 - 4*o + 1. Let k be i(1). Let q(a) = -5*a + 85 - a**3 + 4*a + 106. Is q(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 606*p - 22. Let d(q) = -1214*q + 56. What is 2*d(j) + 5*u(j)?\nAnswer: 602*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 25*j - 19*j. What is the closest to j in 3\/5, 8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1350631068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 77*w + 20. Determine k(-1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 28*c**2 - 2*c. Let r(d) = 183*d. What is h(r(p))?\nAnswer: 937692*p**2 - 366*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 8c7?\nAnswer: 8d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 562 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -49. Suppose m - 4*m + 3117 = q*g, -2*m = g - 1035. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239415 is divided by 5312.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3258*m**2 + 29*m + 41*m + 45*m - 115*m as x*m**2 + l + w*m and give x.\nAnswer: -3258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-6)*15\/(-2). Let v = 23 - t. Suppose 3*i = 3*a - 12, -3*i - 2*a = -0*a - v. Are i and -6\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen halves of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353797 - 353797. What is x in 3\/4*x**5 + 3\/2*x**2 - 3\/2*x**4 + 0*x**3 + a - 3\/4*x = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 26887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.17 times 0.8984\nAnswer: -1.051128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 4, -1.\nAnswer: -1, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2)\/(-6)*1). Let l = 2 + p. Suppose l*w + 26 = s + 2*s, 0 = -3*s - 4*w - 10. Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 40, 7, 0.4 in decreasing order.\nAnswer: 40, 7, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9308619791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 321 - -107. Suppose o*s - 431*s + 588 = 0. What is the highest common factor of 84 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 + 0 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -63. Suppose -2*a + 3 + m = 0. Suppose -a*u = -17*u - 1085. List the prime factors of u.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 - -8 - 17)\/(2\/71). What is the greatest common factor of 355 and f?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 6*k**2 - k + 9. Give r(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3497, -3501, -3505, -3509?\nAnswer: -3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466, 938, 1412, 1888, 2366, 2846?\nAnswer: 3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 3, -13, 7, -4, 4 in ascending order.\nAnswer: -67, -13, -4, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 205 = -5*g, -4*n + 276 = 6*g - 10*g. What is the remainder when 1257 is divided by n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206087.3nm in centimeters?\nAnswer: 0.02060873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37878288?\nAnswer: 2, 3, 7, 79, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i + 5388 + 13788. Let q = i - -7933\/7. Find the common denominator of 55\/328 and q.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.64643 to 1 dp.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325309 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 43.528. Round l to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -250008 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 9:20 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 14*m**2 + m + 3. Let x(y) = 2*y**3 - 29*y**2 + 2*y + 5. Let v(n) = 5*r(n) - 2*x(n). Let a be v(12). Let q = a - -6. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592860?\nAnswer: 2, 3, 5, 41, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3 - 3. What is q in 39 - 2*q - l*q**5 - 39 + 4*q**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-36)\/10 + (-99)\/(-15). Let w(v) = v**2 - v + 1. What is the remainder when 90 is divided by w(a)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 7*t + 4. Let d be x(-6). Let w be (-6)\/(((-3)\/d)\/(-1)). Suppose w*b + 4*l = 208, -3*l + l = -5*b + 260. Does 24 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 953472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 1*12 - -1. Let z be 3\/p + 2409\/12. Suppose 1 = -5*j + z. 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: Let h(l) = 3*l**2 + 2*l - 2. Let m(y) = -35*y**2 - 25*y + 25. Let d(b) = 25*h(b) + 2*m(b). Let v(n) = -n. Give d(v(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*p**2 - 17*p - 337 wrt p.\nAnswer: 18*p - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 0. Let h = 127 + -246. Let v = s - h. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 <= -22520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-242)*110*21\/420?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - -50 - (3 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 6:32 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 493*u**3 + 2*u**2 - 2*u - 2. Let c(k) = -281012*k**3 - 1141*k**2 + 1141*k + 1141. Give -2*c(a) - 1141*o(a).\nAnswer: -489*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (14 - -4) + -12. Let x = 73 + -46. Suppose -4*s = -s - x. Solve -n - 5 = -f, -s = 2*n - m*f + 4*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/610752 and -9\/4.\nAnswer: 610752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23132662 to the power of 1\/2, to the nearest integer?\nAnswer: 4810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1573) + 2)**2.\nAnswer: -3154 - 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 6*f + 1. Let o be p(-6). Suppose 3*y + 10 = -4*a, 2*a + o = 5*a - 2*y. Let j be 1 + 1\/(2\/(-4)). Is j <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131783?\nAnswer: 131783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90.1 - 89.7. Let z = -6.1 - -6. Which is the closest to z? (a) 0.1 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 3*r + 2. Let x be f(3). What is the third derivative of -7*v**2 - x*v**3 - 12*v**3 - v**5 + 23*v**3 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 134, 382, 726, 1154, 1654, 2214, 2822?\n\"Answer: -2*t**3 + 60*t**2 + 82*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w - 1 - 129*w**2 + 16*w + 469*w**2 - 175*w**2.\nAnswer: 165*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007701 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 1 + -243642 + 61. Is 10\/(-75) + (l\/(-30) - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 16) to base 3.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:07 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17*o**2 + 1579 + 15*o + o - o**3 - 1575. Let a be k(-18). Solve 0 = 10*u - 0*u - a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*4 - sqrt(1100))**2*-4 - (sqrt(1100) + (sqrt(1100) + (sqrt(1100) - sqrt(1100)*1 - sqrt(1100)))*1).\nAnswer: -39600 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1. Let b = -987 - -987. Suppose b = -61*r + 24*r. What is the closest to r in 1\/2, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30979003 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 - 110000100101001100100?\nAnswer: -110000100101001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-5))\/((-1)\/(-40)). Suppose 3*p - 34 - v = 0. Suppose 4*j - 2 = 6. Calculate the lowest common multiple of p and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 7*f. Suppose -5*u = -2*g - 29, -4*u + g = -0*g - 25. Let s be n(u). Suppose -3*h = -s*h - 12. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/(-114) - ((-18)\/(-27) + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2)*(-5*x**2 + 3*x**2 + 4*x**2) + 2*x - 2*x - 3*x**2 in the form y + f*x**2 + b*x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 + -73.9999846. What is g rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-490)\/1225 - (0 + (-4)\/5). Which is the biggest value? (a) -1 (b) 0.02 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*j = -5*r - 58*j + 10, -j + 6 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 56 - 24 + 14 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 899734480 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1432, -2878, -4324, -5770, -7216, -8662?\n\"Answer: -1446*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 90810\/330 + ((-6)\/(-11))\/(-3). What is the greatest common factor of 50 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -71, 3 in decreasing order.\nAnswer: 25, 3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -19*v**2 + 118*v. Determine d(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:20 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -615*s**2*z**3 + 709*s + z**3 wrt s.\nAnswer: -1230*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + -452. Let w = -330 - u. Solve -9 - w = 6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35710*k**5 + 62412*k**2 wrt k?\nAnswer: 2142600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 291902*q + 53 = -291907*q, -4*q - 37 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -5*r**8\/336 + 7*r**4\/24 + 8*r**2. What is the second derivative of x(q) wrt q?\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50484 + -29381. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z, -6*r + z = -5*r + 4. Suppose 0 = -5*x + 2*x - 6, -3*i + 5*x = -10. Suppose 5*u + u - 48 = i. Sort 5, 0, u, r.\nAnswer: r, 0, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*y - 5 = 0. Suppose 0 = -s + y*s, -4*q + 12 = -3*s. Suppose q*n - 6*n + 189 = 0. Calculate the remainder when n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/5 or -189792?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172\/1065 + 2\/71. Let r = 1876\/41 - 114733\/2460. Let m = h - r. What is the second smallest value in m, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48244 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14898 is divided by 1188?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 1:33 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 69*k**2 + 1664*k + 158. Calculate i(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.9 - -5. What is the biggest value in 2, s, -2\/9, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456999, 456990, 456975, 456954, 456927, 456894?\nAnswer: 456855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261540911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/560 and -61\/211062768.\nAnswer: 1055313840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 68 = -22*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.2, -0.065, 1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(8\/7))**21*((g**(-2\/5))**(-24))**24 assuming g is positive.\nAnswer: g**(912\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 7 + 22*j**2 - 14 + 20 - 12 + 22.\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32972752 by 8.\nAnswer: -4121594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20890 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91959988 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22035904 by 62602.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.58 * -0.4\nAnswer: 0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 50 = -7*f + 25 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28, 145, 318, 491, 664, 837?\n\"Answer: 173*k - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 16*i - 8. Let d(g) = -5*g**2 + 31*g + 15. Let v(t) = -4*d(t) - 7*q(t). Let h be v(-8). Suppose 0 = -0*j + j - h. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -167362700 to the nearest one million.\nAnswer: -167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -210 + 379. Let a = y + -167.33. Round a to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.7 and 654077198.\nAnswer: 654077199.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 5. Let d(s) = 17*s**3 + 8*s**2 + 8*s - 6. Let w(c) = -6*c**3 - 3*c**2 - 3*c + 2. Suppose 72 = 32*j - 24. Give j*d(x) + z*w(x).\nAnswer: 3*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 + 2*i. Let x(m) = 5*m**2 - 3*m. Let d(k) = 6*a(k) + 4*x(k). Let y(c) = 4*c**2. Calculate d(y(w)).\nAnswer: -64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14520810 and 85?\nAnswer: 246853770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b1a8 (base 13) in base 4?\nAnswer: 1010232303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 1, 5, -16, 0 in decreasing order.\nAnswer: 5, 1, 0, -16, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, 317, 993, 2287, 4397, 7521, 11857, 17603?\n\"Answer: 33*v**3 + 12*v**2 - 11*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -60.8. Which is greater: 41 or r?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.00446 rounded to zero decimal places?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 786637 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 28 - 1 - 32 - 10*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 - 4*q**2 + 81 + 3*q**2 + (0 + 0 + q**2)*(2 - 1 + 1) in the form m*q + w + g*q**2 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p**3 + 4*p**2 + 73*p + 66. Determine y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 7*s - 4*s**2)*(-9 + 36 + 14) + s**2 + 2*s**2 - s**2 + (s**2 + 2*s**2 - s**2)*(-3 + 2 - 1) + 0 + 0 - 2*s**2 + 0*s**2 - s**2 - s**2.\nAnswer: -170*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + d + 7 = 0. Let s = -11 - -15. Sort d, -3, s in decreasing order.\nAnswer: s, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + ((sqrt(243) + (sqrt(243) + 0)*6)**2 - ((2*sqrt(12)*-5)\/sqrt(4))**2) + 3.\nAnswer: 11613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let q(d) = -d**2 + d - 2. Let k(n) = 3*n**2 - 2*n + 4. Let o(u) = -3*k(u) - 6*q(u). Determine x(o(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 552190, 552185, 552168, 552133, 552074, 551985?\n\"Answer: -k**3 + 2*k + 552189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 463267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -110 + 4 - (-3 + 5). What is the units digit of 2\/9 + (-5268)\/d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:17 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 + 320. What is the remainder when z is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8117 * 3.\nAnswer: 2.4351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = 2*z. Suppose -156 = -z*b - 2*b. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4858?\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 115*j**2 - 1904*j + 161. Give p(95).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -5, -3, 5\/4, -0.12, 2\/15, 164?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 569, 2180, 4863, 8624, 13469, 19404, 26435, 34568?\n\"Answer: k**3 + 530*k**2 + 14*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*g + 2*g**2 - 68*g + 31*g + 2*g**3 - 3*g**4 as d*g + i*g**2 + v*g**4 + a*g**3 + o and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 14*h + 15. Let l be m(5). What is the common denominator of (-1)\/l*(-312)\/544*2 and 7\/8?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/495 and -91\/1980.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34505 + -33105. Calculate the greatest common factor of f and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 969?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 10:50 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 1. Let f(q) = -q - 40. Let n(b) = f(b) - k(b). Let v(x) = 2*x**2. What is n(v(m))?\nAnswer: -4*m**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 26*j - 73. Calculate the lowest common multiple of u(3) and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.17 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 1, f: 2, n: 1, m: 2}. What is prob of sequence fhfn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**3 + 3*w + 2. Let u be a(-1). Suppose n + 0*n + u = 0. What are the prime factors of (-2256)\/(-40) + n\/(-5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816012 is divided by 54181.\nAnswer: 3297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 415 and 232649?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9367 and 15181?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2 + 7)\/5)\/((-1)\/(-36587)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 6*y - 311. Calculate d(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2965\/868126 + 3\/2102. Sort x, -1\/5, -0.4.\nAnswer: -0.4, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(171))\/sqrt(9).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461330515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(180\/162)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 28 = 4*i, -5*i + 4*q + 8 - 18 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65365 + -45182. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, -0.7, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + 4d9?\nAnswer: 4c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.015 - 0.199. Round c to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6)*1205*(7 + -1). What are the prime factors of (c\/5 - 2)*(-1)\/2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, 3\/2, -0.36, -4?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 485*l**2 + 134*l**3 - 485*l**2.\nAnswer: 134*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + 4. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 3*l - 10, -11*l = -3*p - 14*l + 9. What is the remainder when -1 + p + 1 - (37 + -323) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 9*j - 440 = 0. What is the greatest common factor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*x**2 + 9*x**2 - 25*x**2 + 3*x**5 wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((-11)\/(-5) + 308\/35).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8d - -1acd26?\nAnswer: 1acdb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + o = -0*f - 8, 0 = -4*f - 5*o + 32 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2 - 3064*p + 3068 = 0 for p.\nAnswer: -767, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -15*u**3 + 10*u**2 - 106*u - 32. Let t(n) = n**3 - n**2 + 4. What is b(f) + 8*t(f)?\nAnswer: -7*f**3 + 2*f**2 - 106*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6350224 is divided by 2532?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 5*x**2 - 2*x - 9. Let i be f(-2). Suppose 7 = 7*s - i. Suppose 2*k + 10 = -3*k, 0 = -3*z + s*k + 160. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.6747, 0.52, 6, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10111100010001111011 (base 2) to base 7\nAnswer: 6361245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 18*d**2 + 33*d. Let h(k) = 9*k**2 + 17*k. Let u(q) = 5*h(q) - 3*t(q). What is the second derivative of u(x) wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6628610*t**3 + 11*t**2 + 2*t - 128302 wrt t?\nAnswer: -39771660*t + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3847968.\nAnswer: 2, 3, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -670188853.37 and -1121.\nAnswer: -670189974.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23511717 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: Let h = 8347 - -151. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 11009 + 34891. What is p rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**1*w\/(w**(-4)*w))\/(w**7\/(w*(w\/(w*w*w**(2\/13)))\/w)) assuming w is positive.\nAnswer: w**(-41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 50153 and 57007679.\nAnswer: 57057832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 4*d + 2. Let f be h(4). Suppose -8 = 2*r - 2*w, -5*r + f*w = -2*w + 15. Calculate the greatest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -337\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Suppose 4*r - 192 = -5*m + r, 0 = -5*m + d*r + 172. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 f when three letters picked without replacement from {f: 9, r: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15803 - 21\/((-189)\/153)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 47961.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33999590 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257*k*v**4 + 4*k*v**2 - 129264*k*v - 3*v**2 - v - 1 wrt v?\nAnswer: -3084*k*v**2 + 8*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - c + 2. Let u(f) = 12*f**2 - 5*f - 41. Let k(j) = q(j) + u(j). Is k(31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4128.86651 - -0.06651. Round j to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 45\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*-53\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2865*h**2 - 141 + 186*h**4 + 2865*h**2 wrt h?\nAnswer: 744*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470594 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 66*a + 21. Let f(n) = 13*n + 4. Let i(d) = 4*b(d) - 21*f(d). Let l(s) = -4*s. Calculate -3*i(m) + 7*l(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4167200 to the nearest 100000.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151471\/6 - -75736\/3. Solve -i*v**2 + 23\/3*v - 529\/6 = 0 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 40\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2580*i + 1. Let f(o) = -7*o**2. Give f(t(r)).\nAnswer: -46594800*r**2 - 36120*r - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b - 9 - 163 = 148 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -725*b**2 + 2. Let n(d) = -12325*d**2 + 35. Determine -35*m(o) + 2*n(o).\nAnswer: 725*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**5\/15 - f**3 - 7*f**2\/2 + 2. Let y(o) be the second derivative of k(o). Differentiate y(b) wrt b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) - 30\/(-9). Suppose -2*i = 3*k - 5 - 9, 12 = -u*k + 5*i. Suppose 3*o - 15 = 3*r, k*o + 5*r - 3*r - 10 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 269 + -143. Let f(a) = a + 136. Let g be f(-13). Let y = c - g. Solve -4*u + y*u = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1259642 at most as big as -1259644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 0*b - 2\/15*b**2 + 2\/15 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7585368 - 20?\nAnswer: -7585388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4082*c**2 + 9*c - 57 wrt c?\nAnswer: -8164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26418 and 1850?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -606, -620, -660, -738, -866?\n\"Answer: -2*u**3 - u**2 + 3*u - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -3*h - 390. Let u be (h\/18 - 4)*0. Suppose u = -2*o + 3*o - 3. Solve -q = -o*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4, 4*h - 3*y + 6*y = 1. What is the second biggest value in h, 1\/5, 1.7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + 4 + -16 + 0 - -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -3, 0.06, -1\/7, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Let o = j - 9. Let g = 5.03 - 0.03. Which is the second smallest value? (a) -0.2 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 489 = 62. Put -3, o, -2 in ascending order.\nAnswer: o, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26920 is divided by 13316?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, v: 4, x: 3}. Give prob of picking 1 v and 3 x.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/5)*j**(-2\/7)*(j**(-2\/5)\/j)\/j**3 assuming j is positive.\nAnswer: j**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73991, -295999, -666009, -1184021, -1850035, -2664051?\nAnswer: -3626069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 66*u**3\/13 + 2270*u**2\/13 + 19958*u\/13 + 578 = 0.\nAnswer: -17, -13\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**3*l*q + 8*a**3 + 29981*l**2*q + 7264*l**2 with respect to q.\nAnswer: 6*a**3*l + 29981*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1\/10, -0.15 in decreasing order.\nAnswer: 13, 1\/10, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5.9 (b) 2\/5 (c) -0.5 (d) 1 (e) -1\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153219516.\nAnswer: 2, 3, 37, 345089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*j - 9*j**3 - j**2 - j**2 + 2*j**2 wrt j?\nAnswer: -54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 580\/(-150)*(-13 - (-638)\/44)\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -16 (b) 0.04 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/871 and 17\/8.\nAnswer: 6968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/10)*(b\/(b*((b\/((b*b\/(b\/(b\/(b**(-1\/6)\/b*b))))\/b)*b)\/b)\/b))\/b*(b**(1\/8)*b)\/(b\/(b*b**(1\/5))*b)*((b\/b**9)\/b*b**0)**(2\/5) assuming b is positive.\nAnswer: b**(-409\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 14*r + 29. Let t be n(-13). What is the greatest common factor of 126 and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*4\/(-16)*-4. Let u be 0 + r\/((-7)\/4). Solve u*x - 41 = 5*i, 3*x + 4*i + 3 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/3*a**2 + 4\/9*a.\nAnswer: 4*a*(6*a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.655521us?\nAnswer: 0.000002655521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 1 - 1)*(-55*f**3 + 725*f**3 + 679*f**3) - 2*f**2 + 2*f**5 + 2*f**2.\nAnswer: -2696*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 0*x - 2*x)*(3 + 2 - 3) + ((-1 + 2 - 2)*(2*x - x - 2*x) + 1 - 2*x - 1)*(-318 + 20 + 130).\nAnswer: 174*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) - 20\/6. Let p = -7 - q. Let y(b) = b**3 + 4*b**2 + b + 4. Let f be y(p). Solve f*h - 3*h = 4*r - 15, 25 = r + 5*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16480000 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 37 - 114 = 0. Solve 5*u - c = -6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 2:06 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1400405330?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 4*v**3 + 8*v**3 + (-v + v + 2*v**3)*(-6 + 4 - 30) + 2*v**3 + v**3 - v**3 to u*v + f*v**2 + j*v**3 + d and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018828074 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 94 = 3*k + 61, 2*k - 17 = -5*u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 13) to base 14.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) -1\/2 (c) -2\/5 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2 + 18151*g - 127008 = 0.\nAnswer: 7, 18144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722595 is divided by 722591.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 2, 5, 2, -13, -46?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/1109820 and 1\/81090.\nAnswer: 56600820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z**3 - 406*z**2 + z + z**4 + 848*z**2 - 448*z**2 + 10 to the form a + g*z**4 + f*z**3 + t*z**2 + q*z and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 22*p**2 + 22*p + 2. Suppose 0*r - 18*r = -90. Let b(q) = -9*q**2 - 9*q - 1. Give r*s(t) + 12*b(t).\nAnswer: 2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + 128 + -129?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 - h - 2. Let l(g) = 3*g + 49. Let k(c) = -8*c - 148. Let i(d) = 2*k(d) + 7*l(d). Let u be i(-10). Calculate z(u).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001306 to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tubjubtujibbi. What is prob of sequence tu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/10 + 65791*d**3\/2 - 3947361*d**2\/10 + 2960497*d\/2 - 1644715 = 0.\nAnswer: 2, 5, 328943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -5*a**4\/12 + a**2. Suppose 0 = -3*w - 2*t, 2*w + 1 = -t + 2. Let b(y) = -204 - y**w + 204. Give b(n(c)).\nAnswer: -100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 164700 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvffyyivyviyffgki. What is prob of sequence ygy?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j = -1300. Suppose 0 = 10*t - 5*t - j. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(1\/13))\/(l*l**5))**(-1\/30))**(-33\/2))**(-25) assuming l is positive.\nAnswer: l**(880\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895899437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1021140 divided by -3.\nAnswer: -340380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -149 (b) 5 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 2199 = -1056. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v + 205. Let h(p) = -9*p + 227. Calculate 5*h(z) - 6*l(z).\nAnswer: -3*z - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4012026 and 25\/3?\nAnswer: 4012026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*k = 40, 0 = -2*m - k - 3*k + 80. Let t = 35 - m. Let h = 4 - 2. What is the lowest common multiple of t and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-30)*0*1. Let a(h) be the third derivative of 0*h - 5*h**2 - 1\/60*h**5 + 1\/8*h**4 + q*h**3 + 0. What is the second derivative of a(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80442 and 5.\nAnswer: 402210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8846*k + 1. Determine r(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/3 + 1 - -2. Let o = 8 + -13. Let z = -0.9 - 0.1. What is the nearest to 1 in z, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/147)\/((-25)\/15)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 15\/4*l**4 - 5*l + 3 + 0*l**2 + 0*l**3. What is the derivative of i(c) wrt c?\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418.0029um to centimeters.\nAnswer: 0.04180029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 503982 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -4. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:16 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -35*v**4\/2 - v**3\/3 - v**2\/2 - v - 21. What are the prime factors of t(-1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 113 = -3*x + 358, -5*x - 2*k + 750 = 0. Suppose 5*b - w - x = 63, w = 3*b - 131. Suppose -b - 39 = -3*h. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 4\/7 (b) 4 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 + 276*c - 4. Give q(92).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0613 + -0.1413. What is the nearest to w in 5, 3, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-48)\/(-2))\/4. Let t be 2\/w*-4*3. Which is smaller: 11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (-1*sqrt(832) - (sqrt(13) - sqrt(65)\/(sqrt(20)\/sqrt(4)))**2) + ((sqrt(208) + 0)*2)**2).\nAnswer: -8*sqrt(13) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-31)\/y*y)\/((y*y\/(y*y**(-32)))\/y))**(3\/26) assuming y is positive.\nAnswer: y**(-93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-370)*(-40)\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/120 + s**5\/10 + s**4\/4 + 7*s**3\/6 - 3*s**2. Let k be i(7). Solve g = -k - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 38\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000775317997 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 90900.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (817*f**3 + 189*f + 815*f**3 - 1633*f**3)*(1 - f - 1) to the form w*f**4 + k*f**3 + x*f**2 + i + r*f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22653539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + sqrt(44)\/sqrt(4)*2*-6 + (4 + sqrt(1584)*-2)**2 + -2.\nAnswer: -204*sqrt(11) + 6343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 70 (b) 14 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:14 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -43 + 60 - -73.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 14*k**2 - 10*k + 13. Determine i(12).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 3. Let w be g(-5). Let j be w\/(-4)*-2*-15. Suppose 0 = 5*u + 4 - 24, m + 3*u = j. Solve -m*k + 2*s = 2*k - 23, 3 = -3*k - 3*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 22976?\nAnswer: 68928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5181246 to the power of 1\/2, to the nearest integer?\nAnswer: 2276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*f - 10, 4*t + 4 = 3*f - 2. Suppose 6*n - f*n = 88. What is the remainder when n is divided by (-2)\/(50\/275 + (-48)\/143)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5036304 and 468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 41153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -68ad8 (base 16) to base 12\nAnswer: -188160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 17 (c) -22\/307 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -10*v + 9. List the prime factors of f(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1122, -1234, -1420, -1680, -2014?\nAnswer: -2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + -18 + (-6 - -22)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/119 (b) -0.5 (c) 0.2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 85241 = 16179. List the prime factors of i.\nAnswer: 2, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/95803 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -22, -5, -13467, 0.4, 0 in descending order.\nAnswer: 0.4, 0, -2\/17, -5, -22, -13467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4))**(3\/7)\/((n**(-14\/5)*n)\/(n**(5\/4)*n)) assuming n is positive.\nAnswer: n**(327\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25, 10, 3, 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -215?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = -2*a - 597, 5*a + 1508 = -3*q. Let g = -192 - a. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Let a(h) = 3 + 1 - i - 4*h. Let f be a(1). Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -339.9559? (a) 0.2 (b) -4 (c) -0.17 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.2. Let p = 13\/76 - 8\/19. Let a = 1.09 + -0.79. What is the nearest to a in p, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + (-4 + sqrt(98) + 2)*-4)*-2)**2.\nAnswer: -2016*sqrt(2) + 6593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 7*p + r + 124, 4*p + 5*r = 148. Suppose 0 = 2*n - 55 - 131. What is the remainder when n is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 4 (b) 2 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3435 (base 10) in base 16?\nAnswer: -d6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -11. Let z be (-110)\/(d - -3 - 2). What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 262 - 7*c**2 + 13*c**2 + 28*c - 7*c**2 - 4*c. Let m be r(32). Solve 2*o = -12 + m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8) - -5*(sqrt(8) + sqrt(16)\/sqrt(2) - sqrt(8))).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 826 and 110516?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*sqrt(15)*3)\/sqrt(3) + (0 + sqrt(80) + 2)**2.\nAnswer: 25*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -44\/5, -1, 39, -0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -3 (c) -4 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 24*n - 8. Determine z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = 2*n. Suppose -c = 4*c + n. Suppose -3*v - 4*f + 7 = 0, -5 = -4*f - 13. Sort c, v, 0 in ascending order.\nAnswer: c, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10*k + 7*k - 14622 = 0, -5*p = -2*k - 24385. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1822 = 16*m - 1806 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**3 + 173*d**2 - 32*d + 37. Is s(-43) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - 2. Let v = 0.469 - -0.031. Let u = y - v. Sort 3\/5, u, 1 in decreasing order.\nAnswer: 1, 3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 9, 0.1, -9.\nAnswer: -9, 0.1, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 6*n**2 + 9*n + 6. Suppose -3*i + 7 = -2*i. Suppose 0 = 3*j, -j = -f - 3*j - i. Calculate h(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*-4)\/(sqrt(6) + sqrt(18)\/sqrt(3)*-2).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**4\/24 - 37*u**2. Let v(z) = 4*z**2 + 4*z. Calculate v(t) + 4*x(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, a: 7, n: 2}. Give prob of sequence anjn.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3437*x**5 + 2553*x**3 + 34*x**2 + 144223*x?\nAnswer: -206220*x**2 + 15318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2148305 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96 + 14*c + 96 - 4*c to u*c + z and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 805735 and 6445869\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 50 = -70. Let u(t) = -t**2 - 10*t + 3. Let q be u(-10). Solve -j - q*j = 3*l - 4, -g*j + 2 = 4*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 135915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.17+-1258\nAnswer: -1257.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22118 = -10*z - 22088. Solve -4*d = 4*a + 12, 2*d + z*a = 6*d - 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46544289*n**3 + 89*n**2 - 12*n + 7315?\nAnswer: -279265734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/160 and -65\/288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 2. Let u be c(1). Suppose 2 + 19 = -7*q. Let z be 5 + (q + 2)*2. Sort 0, u, z in ascending order.\nAnswer: u, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12211221102212 (base 3) to base 8\nAnswer: 13667650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 12:13 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - ((-17 - (-5 - -5)) + -47 + 57 + 18)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z**2 - 12*z - 18. List the prime factors of k(9).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 497, 748, 1001?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368769 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/16*-14*(-8)\/12. Let i(y) be the second derivative of -3*y**3\/2 + y**2 + y. Let s(v) = 8*v - 2. Calculate x*s(a) - 6*i(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 35 = 3*a + 2*a, -4*a + 31 = h. Suppose -a*k = -259 - 1773. Is k 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 962, 1003, 1062, 1133, 1210, 1287, 1358, 1417?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 - 139. Suppose -30*r + 726 = -k*r. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282986\/21 + 13472. Let p = 15 - 13. Find the common denominator of (-33)\/(-27) - (p + (-1 - 3)) and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 2*t**2 + 0*t + 2*t.\nAnswer: -5*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 11:55 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 5*i**2 + 4*i + 5. Let z be d(-4). Suppose -x = -z*x. Is x at least as big as -10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3725.699 to the nearest ten.\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 13 + 33 = 0. Let u be 6\/(-4)*(5 - (-56)\/(-6) - 7). Suppose -2*i + 8 = w, 0 = -i + d*w - 2 + u. Solve 3*k + 3 = 2*x - i*x, -3*k - 31 = -4*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-2 + 3 + 0)*(-12*q - 2*q + 2*q).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.05 + -1. Let h = y + 3.95. Let b be (-35)\/(175\/(-62)) + (-143)\/11. Sort 0, b, h in decreasing order.\nAnswer: h, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -31. Let c(x) = x**2 - 7*x + 5. Let g be c(5). What is the closest to f in 4, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*p**2 + 44*p**2 + 47*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2984 by -3670.\nAnswer: 1492\/1835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -7)*(-1 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u - 99. Let w be n(8). Suppose -2*y = -w*h - 269, 3*h + 2*y + 157 = y. Is -57 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.0848816\nAnswer: 0.0848816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -81*m**2 - 78. Let t(n) = 28*n**2 + 39 + 248*n - 248*n + 13*n**2. Let l(f) = 6*d(f) + 11*t(f). What is the first derivative of l(z) wrt z?\nAnswer: -70*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000425212 rounded to six decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -312 - -115334?\nAnswer: 115022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 + 22c95?\nAnswer: 22cbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Suppose 0*l - 9 = -n*l. Let f be (-3 - (-3)\/3)*-2. Solve -1 = l*v - f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-7)\/70 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 5*m - 1. Let s be r(3). Is 3\/5 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from euehefjefhfejefeo?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -54 + 25 + 40 + 44*w. Let g be y(2). Factor g*h**2 - 52*h**2 - 51*h**2 + 4.\nAnswer: -4*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 3*r + 3*r + r - 2*r - 1 + 3*r + 1 + r + 1 - 1 + (2*r - 3*r - r)*(-1 + 2 + 0) - 2*r - 5*r + 5*r + 2 + r - 2)*(74*r**3 + 11*r**3 - 8*r**3).\nAnswer: 385*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -579 + -10 + (-3 - -17). Let h = 573 + m. Sort 0, 1, h, -4 in descending order.\nAnswer: 1, 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/7 (c) -25\/12 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r + 5. Let a be b(-3). Suppose 0 = -3*i - 2*v + 21, a = 4*i - v - v. What is the third smallest value in -3, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13239647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 10. Let y be (k\/4)\/((-6)\/8). Let j(h) = -h + 1. Determine j(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose -4*j + g*w = -26, j + 0*j + 3*w + 4 = 0. Solve 0 = s + j - 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*y**5 - 3*y**4 + 182531*y**3 - 15997186*y**2.\nAnswer: -300*y**2 - 72*y + 1095186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3979 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: Is 49\/34 smaller than -4561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -3*b**3\/2 - b**2\/2 - 2*b - 217. Let k be (1\/(-2))\/(6\/24*-2). Determine z(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 + 0*m**3 - m**3 + 641*m - 636*m in the form o*m + n + d*m**3 + f*m**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 25 = 0, 0*j + 2*k + 37 = j. Let m = j - 20. Is m != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4097 and 1687?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1539) + sqrt(19))*-3 + 4 + sqrt(76)\/sqrt(4) + (sqrt(19) - ((-1*sqrt(95) + sqrt(95) - sqrt(95))\/sqrt(5))**2))*2*-5.\nAnswer: 120 + 280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-1647) - (-511184)\/692472?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2895*s**4 + 2*s**3 + 2*s + 4218 wrt s?\nAnswer: -34740*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -1\/12*g**4 + 0*g**2 + 0*g**3 + 0 - g. Let a(u) = -29*u**2. Calculate i(a(z)).\nAnswer: -841*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10083797 is divided by 559?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15962, 32240, 48518, 64796?\n\"Answer: 16278*h - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30123 (base 8) to base 7.\nAnswer: -51032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465533\/24 + -19392. Calculate the common denominator of -45\/11 and w.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - w - 2*w)*(-3*w - w + w) - 2*w**2 - w**2 + 2*w**2 + 0*w**2 + 2*w**2 + 0*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -4\/7 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 306081984 to the power of 1\/3, to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7207 - -64.5493. Let w = 66 - r. Let h = 0.23 - w. Which is the smallest value? (a) -0.1 (b) 3\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18355498 divided by 187301?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**3\/3 - 11*g**2\/2 + 4*g + 16. Let t be n(12). Let b(o) = t*o**2 - 7 + 7. Let m(x) = 3*x. Determine b(m(w)).\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186668 + 535435. Suppose 12628642 + 1268096 = -46*n. Let l = c + n. What is l rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a = 10. Suppose -120 = 5*g - 5*c + 110, -5*g + 3*c - 230 = 0. Let u = a - g. What is the remainder when u is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v - 4, 1396 = 4*f + 5*v. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -172*u**2 - 4429*u + 1. Let x(p) = 35*p**2. Determine m(x(c)).\nAnswer: -210700*c**4 - 155015*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5988297833 to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-18 + 10 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -525 + 494 + -2 + 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1540 by -140.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47954*f**2 + 47954*f**2 - 95909*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + -78. Let z = n - -85.22. Round z to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 1. Let d(g) = -g**2 - 5. Calculate -d(u) + 3*f(u).\nAnswer: u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24871817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7386 (b) 1\/4 (c) 3\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40.07 + -40. Let v = 16 + -16.24. Let p = v + j. Round p to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*3)\/sqrt(8)*1*5 + -2.\nAnswer: -2 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21045 divided by 4209?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 6*z**2 - 16*z - 10. What is the tens digit of d(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002815 rounded to 5 decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 1 - b**2 + 2 - 2*b**3 - 5 to the form h + i*b**3 + t*b + o*b**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*f = -113*f - 70 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-15))\/(9\/(-15)). Calculate the highest common factor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o*o**(1\/8))\/(o**(1\/2))**(-5\/4) assuming o is positive.\nAnswer: o**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/28*(3 - 4)*2. Suppose 0 = -a - 0*a + 2. Calculate the greatest common divisor of a and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, m: 7}. What is prob of picking 2 r and 1 m?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 y, and 1 h when four letters picked without replacement from {w: 9, y: 3, h: 3, n: 2}.\nAnswer: 81\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 705*b**3*p**3 + 5*b**2*p**3 - 126*b**2*p wrt b.\nAnswer: 4230*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + ((sqrt(13) - -3*sqrt(13)*-2) + sqrt(13) - sqrt(468)*-2)**2*-3).\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 + -6769720?\nAnswer: -6769930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 10*x**2 + x + 6. What is the remainder when 21 is divided by i(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(39)\/sqrt(3) + 3)**2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/409 and 71\/8.\nAnswer: 3272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:32 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2 + 368\/5*h + 148\/5 = 0.\nAnswer: -2\/5, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42 - 18*o + 42)*(27 - 9*o**2 - 27) + 2 - o**3 - 2 as q + s*o**3 + u*o**2 + v*o and give s.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, -9, -31, -69, -129, -217, -339?\n\"Answer: -o**3 + o**2 - 8*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*o**4 + 2*o**3 - 612.\nAnswer: -324*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*b + 1256 = -34*b. Is 2\/49 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4 + 3686*x**3 + 1743734*x**2 + 41808546*x + 224748432 = 0.\nAnswer: -909, -17, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -754974 and -755341 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -56.05. Which is the nearest to 0.1? (a) r (b) -3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/18236 and 81\/194?\nAnswer: 18236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*c**2 + 63*c**2 + 73*c**2 + 11*c + 63*c**2 - c + 18*c**2.\nAnswer: 2*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/3*(-21)\/(-5). Suppose 5*z = 2*l - 155, d*z - 11*z + 146 = 2*l. What is the highest common divisor of 30 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 117\/65246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 10:40 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -1953\/5*g + 1956\/5 - 3\/5*g**2 = 0.\nAnswer: -652, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in months?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2 = 0, -5*p - 2349 = -7*w - 2343 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = -32*s - 973 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*g - 1162*b - 55*g - 4 wrt b?\nAnswer: 2*g - 1162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 9*f**2 - 5*f - 12. Let v be b(-9). Let z be (3*1)\/(v\/55). What is the smallest value in -3, z, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01228 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 + 10)*(-6 - -7). Let b be 68\/(-102) + y + (-2)\/(-3). Let v be (-50)\/44 + 2\/4. Sort -1\/10, v, b.\nAnswer: v, -1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:29 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13c0 + b?\nAnswer: 13cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f. Let w be (-1)\/((-3 - f)\/15). Let g be 3\/w + 20\/(-75). What is the third smallest value in g, -0.2, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/(-12) - (-2)\/(-8). What is the units digit of 2 + u + 1*11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141.2 - 124. Round w to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184\/1105 >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/15 - 7\/15. Is k at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1536*g**3 + 8064672*g**2 + 7056147*g\/2 + 385875.\nAnswer: 3*(g + 5250)*(32*g + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11*a = -2*a. Suppose 5*v + 4 + 16 = a, -2613 = -r - 5*v. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -391*c**2 - 15*c + 145. Let l(z) = -195*z**2 - 8*z + 76. What is 15*l(s) - 8*n(s)?\nAnswer: 203*s**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 21*h - 19*h - 16, -j = -4*h + 11. Factor 0*b + 0 - 2\/3*b**h - 1\/3*b**3.\nAnswer: -b**2*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 66 = 95 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 819 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 540 - 520. Calculate the highest common divisor of d and 2390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -26960, -107 in ascending order.\nAnswer: -26960, -107, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14 and 49257739.29.\nAnswer: 49257725.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-876)\/(-28) - 4\/14. Suppose l - 1 = i - 4, n = 5*i - l. Suppose 0 = -3*y + i*y - 4. What is the greatest common divisor of 7 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4252.481529 to the nearest integer.\nAnswer: 4252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16674 (base 9) to base 4.\nAnswer: -2303200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.5 + -41.5. Let o = -47 - h. Which is the closest to o? (a) 0.18 (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -14*h. Calculate the remainder when 18 is divided by k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*y + 11, q - 2*y + 8 = 25. What are the prime factors of (498\/(-21))\/((-3)\/q)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*44525030\nAnswer: -178100120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3020?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 4*k - 4*k)*(k + 2*k - 2*k)*(-7 + 1 - 3) to the form b*k**2 + d + z*k and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-290*j + 65*j + 186*j - 1595*j)*(-5*j + 4*j + 2 + 0*j) to v*j + l*j**2 + z and give l.\nAnswer: 1634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/3441870 + 30447355667\/6883740. Let c = -19843\/3 + i. Let y = 2205 + c. Find the common denominator of 31\/4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 3, 1\/47, 2\/7, -1\/473, 0.5 in decreasing order.\nAnswer: 3, 0.7, 0.5, 2\/7, 1\/47, -1\/473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*x - 0*x - 54, -2*x + 4 = 0. Solve m = -8*a - 21 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412033793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-30)*15\/(-5)*(-1326)\/(-51)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/89, 2, 0.3 in increasing order.\nAnswer: -4\/89, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -23, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 145, 156, 183, 232?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -49*o**2 - 1. Let a(f) = 88*f**2 + 13*f. Let r(h) = 190*h**2 + 27*h. Let y(b) = -13*a(b) + 6*r(b). Determine y(t(j)).\nAnswer: -9604*j**4 - 49*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-41))**(2\/181) assuming t is positive.\nAnswer: t**(-82\/181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 451 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -35*q + 677. Give b(20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 8*k + k - k - 1 + 1 + 4*k + 3*k - k + (2*k - 3*k + 2*k)*(1 + 0 + 0) - 4*k + 10*k + 0*k to t + p*k and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -89*x - 118. Is a(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14492 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from bbbbbpbbbbbobb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 10*s - 20. Let v(d) = -2*d**2 - 19*d + 5. Let j be v(-9). Is 21 a factor of q(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -255, 28 in descending order.\nAnswer: 28, -45, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 121 = 23 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**4\/3 + 8*g**3\/3 + 4*g**2 - 32*g\/3 + 16\/3 = 0. What is g?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 755436647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 2\/15, -0.17, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 270 = 22*f. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -141, -5607 in descending order.\nAnswer: 2, -3, -141, -5607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161575\/16 - 10095. What is the common denominator of 61\/510 and t?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -319 - -318.99996. Let o = l + -0.0105. Round o to 4 dps.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09430441 to five decimal places.\nAnswer: -0.0943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 10*x**2 - 12*x + 14. Let s be h(11). Find the third derivative of p - 37*p**2 + 9*p**3 - p**s - 7*p**3 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -40. Let c = -31 + 41. Solve x = -5*d + c + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in 12\/5, -0.5, 0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 411316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848534 is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 15 + 7 + 6 + 4*h. Let z be l(6). Solve 5*o - 41 = 2*y - 10, -z*y + o = 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = b - 34. Suppose g + 6 = b*m, 5*m - 15 = -g + m. Solve -g*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8662 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3653 + 3653. What is the second biggest value in 5, a, 3\/7, 12, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 625 + -501. Suppose o = y - 24, -2*y + n = 3*y - o. What is the remainder when 93 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*q**2 + 248*q + 639 wrt q?\nAnswer: 6*q + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: a9bd2 (base 15) to base 16\nAnswer: 83aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y + 2. What is x(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 0)*1.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjsng. Give prob of picking 1 j and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -42. Let o = m - 40. Let w(d) = -13*d**2 + 6*d**3 + 2*d**3 + 24241 - 24241 - 4*d**3. Let i(u) = -2*u**3 + 7*u**2. Give o*i(p) - 6*w(p).\nAnswer: -2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -607 + 608.4. Which is the third smallest value? (a) 5 (b) 1\/2 (c) -13\/5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -5*w**4\/24 - w**3 - 75*w**2 - 6. Let n(m) = m. Give f(j) + 6*n(j).\nAnswer: j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19780589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 10528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/21)\/(-1*(-1)\/(-1)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*x - 74*x + 3*x**2 + (-1 - 2*x + 1)*(12*x + 36*x - 20*x) in the form a*x + p*x**2 + y and give p.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/184183, -0.1, -5.\nAnswer: -5, -0.1, 2\/184183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 5*w + 19. Let a be c(-8). Let d(q) = -q**2 + 10*q + 4. Let o be d(10). Suppose -o*h + 7 - 3 = 0. Sort a, h, 4 in ascending order.\nAnswer: a, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 6*v + 4*v. Let t be k(1). Let l be 4\/t*(-9)\/6. Solve l*z = z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/5 + 146*h + 26645 = 0. What is h?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 1, n: 3, g: 1, y: 1, m: 3}. Give prob of picking 1 n and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/135 and 5\/18.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g. Let v(a) = 2358*a. Give q(v(s)).\nAnswer: -7074*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 10. Suppose 4*i + 44 - 692 = f. Suppose 108 = 2*u + 5*l, 3*u - i = 3*l - 0*l. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 1. Let s be d(6). Solve c + s - 2 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + -5 + 5 + 7 + -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 3*s**2 + 29*s - 153. Calculate the remainder when 148 is divided by t(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27647034 is divided by 2303919.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -t - 5. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c + 49. Determine j(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-2057)*(-572)\/(-104).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 + -0.4\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55124, -55120, -55116, -55112?\nAnswer: -55108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 14320?\nAnswer: -14340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4472 + -2238. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(1\/3)*u)**35 assuming u is positive.\nAnswer: u**(350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1082*(-6)\/(-60) + (-8822)\/(-4010)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 66*t**2 - 2501. Determine z(0).\nAnswer: -2501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 6*f - 1 = -2*u, -2*u - 7*f = -9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179325 and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 438467\/28 - 63905\/4. Let k = 317 + a. Solve -2\/7*w**5 + 2\/7*w**4 + k*w**3 - 2\/7*w**2 + 0*w + 0 = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) 3 (b) -298 (c) 1235 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 1150*g**3 - 119*g**3 + 2*g**2 + (-3*g**3 + g**3 + 0*g**3)*(-2 + 3 + 0) + 16*g**3 - 3*g**3 - g**3.\nAnswer: -1259*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + -0.2. Let n be (0 + (-2)\/(-5))\/(-2). Suppose -10*t - l = -5*t - 4, 3*t - 2 = -l. Which is the biggest value? (a) n (b) p (c) t (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, 11, 1 in decreasing order.\nAnswer: 11, 1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309425*b**2 + 309425*b**2 + 113202*b**3.\nAnswer: 113202*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Let a be 4\/40*-2 + 146\/5. Let d = a + -26. What is the least common multiple of d and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -15. Let p(q) = q**2 + 10*q + 9. Let u be p(w). Solve 6*s - 2*s + 4 = u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e79 - -38?\nAnswer: -1e41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 40 = 4*r, -6*r - 88 + 87 = 5*g - 56 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.78 - 710.72. Let s = 733 + k. Which is the nearest to -1? (a) 2\/13 (b) 5 (c) s (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 59*c**2 + 285*c - 16821. Calculate m(59).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**3 + 2*u**2 + 2. Let t be (-5)\/(-2) - (-4)\/(-8). Is y(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.12 + -11.42. Let l = 9.30000077 + k. What is l rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = 4*l, 15*p - 18*p - 18 = -3*l. Is -195\/94 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h**2 - 77*h + 7. Let y(z) = z + 8. Give i(q) - y(q).\nAnswer: q**3 - q**2 - 78*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 11*t + 1. Calculate the remainder when c(5) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*a + 9636 = 0, -3*a = 2*v - 888 - 3926. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -51. Suppose -2*u - 2*u = 4*y - 24, 3*y - k*u = 0. Calculate the remainder when 1 - 1*-1 - -1 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - t + 19 = 0, 4*z = -0*z - 3*t - 47. Let f = 8 - z. What is the remainder when 62 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/65 and -44\/1053?\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 8*m**2 - 12*m - 23. Let j be k(-7). Differentiate j*x - 115 - 69*x - 124*x + 41*x wrt x.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/(25\/5) + -4. Let d = 30 - 25. Solve 2*u + j - 4 = o*j, 18 = d*u - 2*j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.585913km?\nAnswer: 4585.913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = -3*u, 5*s - 24 = 7*u - 8*u. Let n(q) = 2*q - 6. Let c(r) = -4 - 1 + r + r. What is u*n(j) - 5*c(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -511529241*q**5 + 48831131*q**2 - 1?\nAnswer: -30691754460*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 226*c + 252*c + 2*c**2 in the form s*c + k*c**2 + m and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and 264.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31767, -31772, -31777, -31782, -31787?\n\"Answer: -5*r - 31762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 5. Let b be g(24). Let p = 114 - b. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4*j*j\/((j**(-1\/3)\/j)\/j)*(j**(-1\/4))**(-1\/24) assuming j is positive.\nAnswer: j**(267\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 41376.\nAnswer: 786144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54608737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w = -0*w - 4543. Calculate the smallest common multiple of 10 and w.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + a + a + 0*a)*(0*a + 5*a - 3*a)*(2 - 2 - 1).\nAnswer: -6*a**4 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d = 6. Let a = d - -8. Suppose 2*s + 2*j - 8 = -j, 2*s + a*j = 0. What is s rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f + 2009000 = 33*f. Round f to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4 + 14985*n**3 + 2*n**2 + 12731*n.\nAnswer: 24*n**2 + 89910*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1252*u**2. Let m(c) = -8*c. What is m(w(q))?\nAnswer: -10016*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/1*(18 - (-5 - -10)). Let k = -285 - q. Let t(l) = -5*l - 3. Let n be t(-3). Do n and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37002 or -37003?\nAnswer: -37002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 742172521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*14\/238 + 175\/85. Let q = 92 - 50. Suppose 2*x + 0*x = -3*a + 38, 2*a = v*x + q. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1972660*p + 216744*p - 13169113*p + 5.\nAnswer: -14925029*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 926\/17 at most as big as 1453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 511\/105)\/((-12)\/(-10))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 + 12*j**2 - 3*j**2)*(-1 - j**3 + 6*j**3 - 3*j**3).\nAnswer: 28*j**5 - 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5224130 - 148870. Round l to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/43)*((u*u**(-6\/13)\/u)\/u)\/u assuming u is positive.\nAnswer: u**(-1402\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-24)\/35))\/((-680)\/1632).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.904903kg to micrograms.\nAnswer: 6904903000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 196, 195, 192, 187, 180?\n\"Answer: -q**2 + 2*q + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -151. Let t = 478 + -574. Let z = t - -113. Calculate the highest common factor of z and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6367 - -11577. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10509, 41956, 94373, 167760, 262117, 377444, 513741?\nAnswer: 671008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-14))\/(21*(-21)\/3087)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 3)*(-70 - 71 - 111 - 2*x) - 11*x + 0*x - 3*x as r*x + o and give o.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:55 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -491.6 - -491.4. Let z = 71\/30 - -2\/15. Which is the closest to o? (a) z (b) -0.01 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(7*q**4 + 3*q**4 - q**4) to c*q**3 + i*q**2 + z + d*q**4 + a*q and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462795407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/78259 - -156521\/234777. Let j = 435 - 2168\/5. What is the second smallest value in j, q, -4, 10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b - 23. Let j be f(-9). Suppose -194 = -9*g + j. Suppose 3*p - 8*p + 5*h + g = 0, 2*p - 28 = -4*h. Solve 0 = 3*r - r + p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-1))\/((-4)\/(5 + -69)). Is p <= 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/25226 - -28656701\/176582. Let t = w + -162. Let l = 6 + -11. Which is the nearest to 0.1? (a) t (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*m**3 - 5 - 134*m + 4 + 134*m + 5*m**2 in the form i*m**2 + p*m + s*m**3 + r and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Suppose -2*w + 52 = 5*j, 3*j - a*w = -0 + 27. Solve 3*y + j = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 415740 by 820.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Let v = 2\/94449 + 285047056\/1227837. Let f = v + -232. Which is the nearest to n? (a) 1 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 2*u**2 - 4*u + 2. Let j be g(2). Let c = j - -29. Suppose 3*r + 42 = 3*d, d - 3*r = 3*d - c. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 112.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -59226449124\nAnswer: -59226449124.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - -4379539196.\nAnswer: 4379539173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7380*h + 12034.\nAnswer: 7380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 91*z**3 - 5*z**2 + 1. Let h(f) = 182*f**3 - 10*f**2 + 3. Let c(t) = 3*h(t) - 5*j(t). Let m = -15 + 11. Let o be c(m). Round o to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 61*h**3 + 4*h**2 - 4*h - 2. Let n be y(-6). Let m = n + 1248941\/96. Let s = m - -1\/32. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p - p + 1 - p**2 - 2*p. Let f be l(4). Suppose 0 = -f*t + 17 + 33. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r. Let b = -23 + 24. Calculate s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-40)*1476\/(-533)\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - b - 2*b. Let v(l) be the third derivative of l**5\/20 + 4*l**3\/3 - 5*l**2 - 485. What is a(v(n))?\nAnswer: -6*n**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000000100 (base 2) in base 3?\nAnswer: 11220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2779 - 54\/(-4 + -2). What is the highest common divisor of f and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000679989 to seven decimal places.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 15 (b) -0.2 (c) 0.1 (d) -0.15911\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y = 24. Let k = -5 - y. Suppose -c = k*c - 12. Solve c*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - a**2 - a - 2*a. Let x(o) = 3*o**2 + 11*o - 3. Let h(r) = r - 1. Let c(p) = 4*h(p) - x(p). Let g(k) = 2*c(k) - 7*l(k). Differentiate g(s) wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1\/7 (b) -4.1 (c) -5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 0 - 1 - ((17 - 64) + 48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 27 = f, 2*f - 65*k + 69*k - 110 = 0. Solve -s + 17 = -3*g, f*s + g + 9 = 43*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 983\/8 + -123. Let o = -74 - -78. Which is the biggest value? (a) y (b) o (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*i - 45 = -341*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181997522 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (14 - (-11 + 21))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.27 - 0.27. Let o = 0.6 - 1. Which is the nearest to 2\/5? (a) v (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4, r = 4*l - 52 - 14. Calculate the highest common divisor of l and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -2340314113?\nAnswer: -2340314105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64650 and 75425.\nAnswer: 452550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -63. Is r at most as big as -2\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + -1*-2*sqrt(180) + -3 + 2 + 4.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1252 and 33804.\nAnswer: 33804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3, -5*x - 3*w = -0*x - 163. Let m = -8999 - -9268. What is the hundreds digit of m + 3 + x\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116097 by 458.\nAnswer: 116097\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 5482. Let l(v) = -6*v - 27411. Determine 2*l(m) + 11*p(m).\nAnswer: -m + 5480","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (sqrt(143)*-2*-1 + (sqrt(143) - (sqrt(143) + sqrt(143)*-2*6)))\/(((sqrt(77) + sqrt(77)*1)*2 + sqrt(77))\/sqrt(7)) + -3.\nAnswer: -11 + 14*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:26 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 9. Let n be (8\/10)\/(1\/60). Suppose -h = -b - 16, 0 = -5*h - 4*b + 5 + n. What is the remainder when h is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1114882, -2229784, -3344686, -4459588, -5574490, -6689392?\n\"Answer: -1114902*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -t - t. Let x = -18 - t. Determine n, given that 3\/2*n**2 + x - 3\/4*n**3 + 0*n = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/323 and 4\/3.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*1*(-38)\/(-76). What is the closest to 0 in 4, 3\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.5. Let v = -314 + 199. Let c = 573\/5 + v. Sort 4, l, c in descending order.\nAnswer: 4, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21767377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbzdkdzkqkkkqdbdzzbn. Give prob of sequence kqdd.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -35*l - 14. Let p = -77 + 76. Let w be h(p). Solve -2*m - 22 = -4*f, -3*m + 0*m = -3*f + w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(0 + 1)*(-41)\/(-1). Find the second derivative of 0*c**2 + 68*c**3 - 122*c**3 + 0*c**2 - p*c wrt c.\nAnswer: -324*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:46 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005844 to 5 dps.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -j + 56, 5*f - 22 = -j - 15. Calculate the greatest common factor of j and 560.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vps when three letters picked without replacement from lvlpvzmllssmmp?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 112662.9 litres?\nAnswer: 112662900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 6. Let f be b(-12). Let r be (6\/5)\/(f\/200). Suppose 0 = -6*s + 2*s + r. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 - 119.9893. What is v rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, d: 7, k: 3, t: 1}. Give prob of sequence dk.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2011310 + 1?\nAnswer: -2011303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 123606 - 6?\nAnswer: 123600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217 (base 13) to base 5.\nAnswer: -2413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1121557 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**2 + 21*u**2 - 73*u**2.\nAnswer: -76*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 24 = -8*z. What is the remainder when 8 + (79 - 1) - (z - -1) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 6*p**2 + 2*p + 17. What is the remainder when m(-7) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**2\/5 + 1494*q + 14932\/5 = 0.\nAnswer: -3733, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5363 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 + 2*h - 3. Let q = 5 + -3. Suppose 5*a + 2*f - 21 = -5, 0 = 4*a + q*f - 14. Let t(l) = -l**2 - l + 1. Give a*t(z) + g(z).\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*-4 + (-4 - -22). Let t be h\/8*8\/(-4)*-5. Suppose u - 205 = -5*o, t = o + u - 20. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f + f - 4*f)*(-8 - 6*f + 8) + 2*f**2 - 2*f**2 + f**2 + (-3*f - f + 6*f)*(-2*f - 2*f + 3*f).\nAnswer: -43*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 7:42 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/9 or -11?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1 (c) -50 (d) 16 (e) -3 (f) -4.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 124 - 124 - x**2 + 371 + 19103*x.\nAnswer: -x**2 + 19103*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 - 12 = -n, -n - 1 = 3*b. Let p be (4 - (33 + 1))*(-2)\/n. Is 22656\/p - (7 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 - 3465751\/15865 - 2\/(-38)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3455303.\nAnswer: 3455303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 5, -1, -2, -6, -5 in decreasing order.\nAnswer: 53, 5, -1, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.041 - 0.059. What is the nearest to n in -0.1, -3\/8, 20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, 3, -2\/11, -1\/2, -6819?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73212 is divided by 1200.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -162526614?\nAnswer: -162526616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528969031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2 - (26 + -29)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 20*a - 4 = 0. Solve -l + n - a*n - 3 = 0, 4*l = -3*n - 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19948 - 9761 - 9842)*(i**2 + 2*i**2 - 2*i**2).\nAnswer: 345*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 - (-3 + -23)) + 19.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2532302 to the nearest integer?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6ab81d (base 14) to base 11\nAnswer: -2068a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-27 + 27) - -38.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*j + 2 = 0, 2*f = -2*j + 976 - 968. Is f at least 1504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405707 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79945163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11312 is divided by 323.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -16407, -1\/2, 6.8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 30 - 12. Suppose -4*m + 5*u = -45, 2*u = m - l - 9. Suppose m*c + z - 111 = 5*z, -c = -3*z - 31. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 - b**4 + b**4 + 465 - 9*b**4 + 466 - 913 + (b**4 + 4*b**4 - 4*b**4)*(1 + 1 - 4).\nAnswer: -12*b**4 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.022 + 7.222. What is the biggest value in 0, y, -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Suppose p + 4*j - 70 = 0, -j + 282 = g*p + 2*j. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*f**2 + 1540434*d**3*f + 864207*d**2*f + 10*d*f**2 wrt d?\nAnswer: -6*f**2 + 9242604*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-29)\/(-435)*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -0*f. Let r = 4037\/31143 - 51\/1483. Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12111 + -2112222112?\nAnswer: -2120012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 at least as big as -2210\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/9, 0.2, -34, 1\/11, 1\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 13531, 63 in descending order.\nAnswer: 13531, 63, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-45)*(1576\/40 + -37)\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-7)\/f*f)\/f*f**(2\/5))\/(f*f\/f**1*f*f)**(5\/12))\/((f**(-1)*f)**(-19)*((f**(-2)\/f)\/f)\/f**(-2\/9)) assuming f is positive.\nAnswer: f**(-913\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -505 - -503. Let v(n) = 2*n**3 + 5*n. Let g(c) = 9*c**3 + 26*c. Determine q*g(r) + 11*v(r).\nAnswer: 4*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/135 and 5\/42.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/7)*y)**(-3\/2))**(-37))**(-3) assuming y is positive.\nAnswer: y**(-1665\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3939633 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 a = 10 - 18. Suppose 4*v + 13 = 61. Let g be 6\/v*(-2 + 4). What is the third smallest value in -4, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 41 = 4*d + 14, -z + 20 = 5*d. Suppose 8 = -2*t - 4*j, -2*t + 4 = -4*t - 2*j. Factor 12 + 6*w + d*w**2 - 18*w + t*w**2.\nAnswer: 3*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 2 q when four letters picked without replacement from pqpqsuqssuppquqpp.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 + 238*d\/3 - 1436\/9.\nAnswer: 2*(d - 2)*(d + 359)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1540782?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 599036287 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 7:09 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56041.\nAnswer: 56041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*l + 21 = 227*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbmbbzbztmbttbbzb. Give prob of picking 2 z, 1 t, and 1 b.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o + 5. Suppose -4*w + 9 = -w. What is the units digit of k(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 0*n**4 - 3*n**4 + (369*n**2 + 5848*n**3 - 2924*n**3 - 2926*n**3)*(3*n + 7*n - 5*n).\nAnswer: -13*n**4 + 1845*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12872 is divided by 1838?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 3*t**2 + 4*t**2 - t**2 - t**2 + t**2 + (-1 + 6 - 3)*(t**2 - 2*t**2 - t**2) + 1 - 1 - 2*t**2 - 2*t**2 + 3*t - 3*t)*(t - 3*t - 4*t).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 310799.8 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6416680, -6416613, -6416544, -6416473, -6416400, -6416325?\n\"Answer: x**2 + 64*x - 6416745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 6*v**2 - 27*v + 9. What is f(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*sqrt(5))**2 + sqrt(5) + (sqrt(5) + sqrt(20))*-4)*2.\nAnswer: -22*sqrt(5) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380359 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 706*f**2 - 75*f - 499. Is o(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/1)\/(6\/(-78)). Suppose -f = -3 + 4. Let o = f + p. Calculate the smallest common multiple of o and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103161.\nAnswer: 3, 137, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aii when three letters picked without replacement from iiiiiiiiaaiiiiiiiiii?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 583, 11 in descending order.\nAnswer: 583, 11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-11 - 14 + 8)*(3*f - 5*f - 3*f) + (0 + 1 - 3)*(f + 0 + 0))*(f - 2*f + 2*f + (2 - 2 - 2)*(2*f + f - 5*f)) to the form x*f**2 + i*f + p and give x.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/7*202\/3. Let d = -94 + o. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*j + 31*j - 141*j + 5*j**2 + 41*j + 34*j.\nAnswer: 5*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2. Suppose 0*b + 76 = -3*b + 5*v, -b - 28 = -v. Let d(i) = 20*i. Let n(s) = 3*s. Let o(t) = b*n(t) + 5*d(t). Calculate f(o(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3391215 and 214182.\nAnswer: 20347290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 2616 + 11394. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/5))**(-28)*d*(d\/(d*d**6))\/d*d**6*d)\/((d*(d\/(d**(2\/7)*d)*d*d)\/d)\/(d**(-3)\/d)*(d*d**1)**(-5\/6)) assuming d is positive.\nAnswer: d**(-4436\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**3 + 7. Let f(u) be the third derivative of -8*u**2 + 0*u + 1\/2*u**3 + 1\/60*u**6 + 0 + 0*u**4 + 0*u**5. Give 7*f(x) - 3*h(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 1, l: 2, m: 3, p: 3}. Give prob of picking 1 d, 1 m, and 2 l.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5))\/(-4 - (-606)\/150). Let k be -3 + (-6)\/4*2. Let g = k + a. What is the greatest common factor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2 + 3. Let u be w(0). Suppose 2*f - 5*y = 14566, -2*f - y = u*f - 36442. Suppose -1067 - f = -5*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 4:55 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1701\/729*(-10)\/14)\/(2\/12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89841308871 + 4.\nAnswer: -89841308867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (1189\/(-3))\/(-1*(-23)\/(-69)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1935804 divided by -9.\nAnswer: 645268\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0, 44543355, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhv when three letters picked without replacement from fffjfjcfffhhvfhcchj?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-105)\/(2 - 44\/20). What is h rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-12) + 3)\/(1\/1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25665394 is divided by 8601?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -8*n**4\/9 + 4*n**3\/3 - 3*n**2\/4 - 9*n + 3. Find t such that j(t) = 0.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-33)\/i**(6\/17)*i**38*i**(1\/23)\/i)**29 assuming i is positive.\nAnswer: i**(41847\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.624 (b) 1\/3 (c) -6 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(525\/10))\/(2\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -537032 plus -0.3?\nAnswer: -537032.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.1 - 31. Let q = y + 1.964. What is q rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 1}. Give prob of sequence ea.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 4*y**2 + 7*y + 3. Let o be p(-5). Let d = o + 13. Calculate the remainder when 1\/3*(45 + 6) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*t**2 - 13*t**2 + 89*t**2 in the form v*t**2 + q*t + x and give v.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*m**3 + (-m + 5*m - 2*m)*(5*m**2 + 3*m**2 - 5*m**2) + (-m + 4 - 4)*(-m**2 + m**2 - 2*m**2).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2866 - -2865.6. What is the third smallest value in -1\/3, 27, j?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18991175 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 39b9a?\nAnswer: -39b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k + 6*k + 13*k.\nAnswer: 46*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 24. Let d = f - 17. Suppose d*h + 8*h - 272 = 0. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*k - 272 + 74, -5*i - k + 314 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 29*i - 70*i = -2295 - 2050 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15760*o - 15680*o + 19380 = -31270*o for o.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let v = -285 + 277. Which is the nearest to q? (a) v (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjcbbubcbctubuuu. What is prob of sequence cjbt?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - w**2 + 8*w - 62. Let v be s(4). Put -3, 1, 2, v in ascending order.\nAnswer: -3, 1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.33947 weeks to minutes.\nAnswer: 255421.8576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 730\/7 or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42685, 85242, 127795, 170344, 212889?\n\"Answer: -2*i**2 + 42563*i + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaabaaabaaaaaaaabba. What is prob of sequence aaa?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 4. Suppose -u*q + 4 + 4 = 0. What is the least common multiple of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 15*o**4 - 2555*o**3 + 116370*o**2 - 627300*o - 470680 = 0.\nAnswer: -2\/3, 7, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 58*c + 712. Let u be o(37). Suppose -q = 2*q + 324. Let f = q + u. Solve 0 = k - 4*k - f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q*q**(4\/3))\/q)**(-38))**(10\/11))**(-1\/44) assuming q is positive.\nAnswer: q**(665\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 271820651*m**2 + 1485720818*m wrt m.\nAnswer: 543641302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9818833s in minutes?\nAnswer: 0.049698055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 14 = 2*y, 77319 = -y - 4*j + 77313 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.115554l to millilitres.\nAnswer: 1115.554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 173700*q**2 - 347421*q + 521118.\nAnswer: 3*(q - 57902)*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen sixths of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3834390 by 2.\nAnswer: -1917195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 11*t**2 - 27*t + 14. Let b be o(13). What is the fourth smallest value in 1.1, -1, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + w - 6 + 1 = 0, -20 = -p - 4*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 81. What is i(28)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 75? (a) -2 (b) 11 (c) 0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 4, -13, 1, 11 in descending order.\nAnswer: 11, 4, 1, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**3 - 3*c**2 - 43. Let b(z) = -8*z**3 + 2*z**2 + 42. Determine 5*b(p) + 4*i(p).\nAnswer: -8*p**3 - 2*p**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7119754, 7119750, 7119746, 7119742, 7119738?\nAnswer: 7119734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Suppose -2*o = y*o - 4. Let l = 3 - o. Solve -h - 3 = x, 4*h - 3*x + l*x + 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03886 + -0.86736. What is h rounded to two dps?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 862272 and 24?\nAnswer: 862272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, b: 2, w: 1, y: 4, g: 3}. What is prob of sequence bygc?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - d**3 + d**3 + (6*d**2 - d**2 - 3*d**2)*((0*d - d - d)*(2 + 11 - 7) + 25*d - 27*d - 41*d).\nAnswer: -109*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/26)\/(41\/(-82)) - 445\/(-65). Solve -4*h - 5*l + 18 = 0, 2*l + 2 = -4*h + u*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724 greater than or equal to 613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100111110101110 (base 2) to base 6.\nAnswer: 1050050","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -20 times 16284.8\nAnswer: -325696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -347 - -213. Is 10 a factor of (-4 + l\/(-10))*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*((sqrt(17) + 4*(sqrt(17) + 0 - sqrt(17)))**2 - sqrt(17)) + 3*(2 + 3*(sqrt(34)\/sqrt(2) + sqrt(17))).\nAnswer: -96 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1226 * 4816\nAnswer: -5904416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4528*r. Let n(h) = 12*h**2. What is n(t(g))?\nAnswer: 246033408*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 16. Let x be a(-3). Suppose n + 2 = x*d - 3*d, n + 5*d = -22. Suppose z = n*z - 4. Solve -2*y + 5*m - 5 = 4*m, -y - 1 = -z*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -192*x**4 - 476*x**3 + 8*x**2 + 476*x + 184 = 0.\nAnswer: -2, -1, -23\/48, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/l*l)\/l**(-1)*(l*l**1)**20)\/(((l**(1\/3)\/l)\/l)**27*l**3*(l**0\/l*l*l)\/l) assuming l is positive.\nAnswer: l**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - z**2 + z - 238. Let l be h(0). Let a be -4 + 5 + (l - -1). What is the lowest common multiple of 6\/(-39) + a\/(-13) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 23 + 37. Let y(d) = d**2 - d - 2. Let u be y(0). Let f(o) = -4*o - 1. Let j be f(u). Solve -3*q + 4*t = -g, j*q + 2*t = 3*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 149, 607, 1365, 2417, 3757, 5379?\n\"Answer: -k**3 + 156*k**2 - 3*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -642\/7 + 92. Solve -4\/7*q - b*q**2 + 0 + 2\/7*q**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/(110\/(-4)*50\/(-375)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/4155 and 161\/240.\nAnswer: 66480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((21\/7)\/(-7*4))\/((-1)\/18)?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*c + 173 = 1046 + 4732 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5\/(-10))*(-3)\/(-72).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*h - o - o, 0 = -5*o - 20. Suppose -8*y + h + 8 = 0. Factor 0*s - 1\/2*s**5 - 1\/2*s**4 + 1\/2*s**y + 1\/2*s**3 + 0.\nAnswer: -s**2*(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24597 - 24134. What is the remainder when q is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 3. Let u(n) = -n**3 + 2*n**2 - 1. Let g be u(-1). List the prime factors of 3\/5*(d - g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 6*c**2 - 3*c - 5. Let i be f(5). Let p(z) = -z**2 + 4*z + 7. Let n be p(i). What is the remainder when (n\/(-3))\/((-12)\/414) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.142 + -0.068. Let h = j - 0.09. Which is the closest to 4? (a) h (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 69*y**3 - y. Let h(x) = -x + 11. Let r be h(10). Let k be q(r). Suppose 5*i - k = 7. Solve 5 - i = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 + -3. Let g = 6 + -10. Let v = g - -7. Which is the nearest to d? (a) 0.5 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 4400.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61\/5*g**4 - 8\/5*g + 24*g**3 + 8\/5*g**5 + 3 - 74\/5*g**2 = 0.\nAnswer: -3\/8, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22429b98 + -1?\nAnswer: 22429b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*b + 3. Suppose 0*z - 2*z - 94 = -5*r, 0 = -z + b. What is the remainder when 39 is divided by r - (28\/70 + (-14)\/10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 60.304 from -0.03.\nAnswer: -60.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 - 10\/6. Let b(c) = -c**3 - 7*c**2 + 8*c + 9. Let i be b(-8). Sort s, i, -5, 0.\nAnswer: -5, s, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**2 - o + 7. Suppose -15 = l - 6*l. Let a be u(l). Which is greater: -30 or a?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2. Let t(b) = -8*b**2 + 11*b. Let d(m) = 3*m**2 - 4*m. Let u(x) = -x**2 - 4*x - 4. Let j be u(-4). Let i(q) = j*t(q) - 11*d(q). Give i(c(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -2. Let w = 0.06875 - 1.06875. Which is the fourth biggest value? (a) -0.2 (b) i (c) 0 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 - 2*g**4 - 5*g**4)*(-1 + 9 - 2) + g**4 + g**4 + 5*g**4.\nAnswer: -23*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 40*n**2 - 4*n + 3. Let c be y(2). Suppose -127*a + 994 = 359. Calculate the highest common divisor of a and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 106*r**2 - 1\/270*r**5 + 14\/27*r**3 + 5\/108*r**4 - r + 0. Let a(q) = 0. Calculate q.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -5.2561.\nAnswer: 31.5366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 4*f**2 + 11*f + 8. Let z be d(10). Let c = z - 260. Suppose 2 = 2*p, 2*a + 3*a = 2*p + c. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 3750*l - 978771. What is q(-245)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 6:21 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6727 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*w - 101*w - 506 = 0. Solve 5*b - 2 = -w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 22 = -4*q, -2*q = 3*j - 4*j + 8. What is the greatest common factor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438452 is divided by 718260?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(88) - sqrt(88) - sqrt(88))*6)\/(-1*sqrt(32)) + (4*sqrt(1100))**2 + ((sqrt(704) - (-1 + sqrt(704))) + sqrt(11) - sqrt(11))**2.\nAnswer: 12*sqrt(11) + 17601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, p: 11}. Give prob of sequence pp.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 30*d = -3*i + 33, -4*i + 33 = d for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - h**2 - 3*h - 4. Let d be c(3). Let k(i) = i**2 - 4*i - 5. Let f be k(d). Solve -7*a + 3*a = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11331517197699 - -2.\nAnswer: -11331517197697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 4*z)*(-7 - 3 + 2)*(-2 + 3 - 5).\nAnswer: -96*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from pgxxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*b, 77 = -2*g + 5*b + 51 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -380.92 times 1.4?\nAnswer: -533.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2941, -11763, -26465, -47047, -73509, -105851, -144073?\nAnswer: -188175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*r + 6725538 = 133*r. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*g = -3*v + 77, 0 = 4*v - 4*g - 80. Let t(x) = 18*x - 2. Let u(z) = 9*z - 1. Let l(h) = 4*t(h) - 9*u(h). Let f be l(-2). Is f greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 120, 117, 114?\n\"Answer: -3*w + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*2*(-15)\/20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-3)\/2)\/((-2)\/(-4)). Let d(m) = m**3 + m - 3. What is d(l)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6186828 divided by -489\nAnswer: -12652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -520, -1035, -1550, -2065, -2580?\nAnswer: -3095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2. Let m(w) = -1 - 18*w - 13*w + 25*w - 1. What is m(a(d))?\nAnswer: 12*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 43184.667673 + 0.5\nAnswer: 43185.167673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1300540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 84916.\nAnswer: 5\/84916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0, 17, -0.7, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8468\/493 + (-22 - -52) - (6\/34)\/1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -695*b - 65. Let l(u) = 232*u + 23. What is -17*l(v) - 6*m(v)?\nAnswer: 226*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/50*(-1810)\/(-2172)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.877 in 1\/5, 1, 16, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 7:45 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-48)*(1 - -2). Let z = 5 + -4.45. Let s = 3.55 - z. What is the nearest to c in 2\/7, 0.1, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10154486085 plus -221.13?\nAnswer: -10154486306.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrvrrvrr?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6263 + 6263. Solve 5*n + y*n + 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**3 + 180*i**2 - 7*i + 7. Let f(b) = 2*b**3 - 60*b**2 + 2*b - 2. Determine 7*f(t) + 2*y(t).\nAnswer: 2*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1da0819 - 2?\nAnswer: 1da0817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + 4*o - 4*o)*(358*o + 352*o - 510*o**2 - 706*o) as z*o + r*o**3 + g + l*o**4 + d*o**2 and give l.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9 + 1 = 0. Let a be (-2)\/(-4)*4\/3. Let c = -1.2 - 0.8. What is the closest to -9 in c, a, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*p - 12, 1 = -6*z + 5*z - 4*p. Let i be 168\/(-7) + 13 - -11. Suppose i = -4*y + z*a + 748, 3*y - 2*a = -7*a + 561. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1820)\/78)\/(4\/6)*-11. Let d = o + -383. Let r(w) = -4*w**2 + 4. Let j(y) = -y**2 - y + 1. Determine d*j(g) - r(g).\nAnswer: 2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1125 and 309675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*m**4 - 2 + m - 107*m**2 + 30*m**4 + 2*m**3 - 37*m**2 - 69*m**2 as j*m**2 + x*m**4 + g*m + q + o*m**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(14\/3) assuming u is positive.\nAnswer: u**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 10724*k**2 + 79776*k + 832 = 0. Calculate k.\nAnswer: -52\/7, -4\/383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5126 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: Add together -118751407.047 and -0.2.\nAnswer: -118751407.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355 is divided by 168?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + -2 + (-2 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*h**2 + 210*h**2 + 368*h**3 - 523*h**2.\nAnswer: 368*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1944 + 1959 = -5*i - 5*a, 10 = -8*i - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = 4*d - 80, b - 5*d - 32 = 0. Suppose 3*i - 14 = b. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -190 + 191 + 11*w**3 - 3*w**2 + 3*w**2. What is v(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**3 - 1006*d**2 - 218*d - 647. Calculate b(112).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0*c - 4*c)*(3 - c - 3 + c + 4 - 4 + (-c - c + 0*c)*(-2 + 0 + 0) - 162*c - 26*c - 422*c).\nAnswer: 606*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/1047839 - 118802937931\/10478390. Let a = y - -11329. What is the common denominator of (-363)\/264 - (-2)\/((-16)\/6) and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 5*a - 2. Let r be f(-2). Suppose 4*u - 24 = -0. Suppose u = 4*m - 3*m. Solve m = r*x - 7*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from yyyyyhyhyyyyyyyyyh.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16353 (base 7) in base 2?\nAnswer: 1001000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5326 + -5313. Which is greater: 282 or l?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 520*n**5\/9 + 2*n**4\/3 - 3640*n**3\/9 + 342*n**2 + 4*n = 0.\nAnswer: -3, -3\/260, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 6 = -s - 0*s, 2*h = s - 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/79038 and -93\/41672.\nAnswer: 1646835768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.1, -3, 151, 0, 0.105 in decreasing order.\nAnswer: 151, 15.1, 0.105, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -131 - -26?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 11. Let w(h) be the second derivative of 3*h**5\/20 + h. Determine w(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4189 is divided by 1697.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 6:10 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 76008 = -3*h, 4*h + 917*k = 912*k + 101346. What is the greatest common divisor of 96 and h?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -800 (base 12) to base 6\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 4 - (-3 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -36377*x - 17. Give c(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*r + 5 = 0, 3*x - 5*r = 5 - 7. Which is the nearest to 0? (a) 7\/4 (b) -3\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 76. Suppose -m = 5*o + 125, 9*m = 4*m + 25. Let w = -13 - o. What is the remainder when g is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-118 - -217) + 43?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 219. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232 - -239. Solve 4*k + 27 = s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -214*d + 3. Let u be l(-1). Suppose 10*y + 57 - u = 0. Is ((-168)\/y)\/((-6)\/28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(-9)\/30*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257702945 a multiple of 2521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 511, 1036, 1567, 2104?\n\"Answer: 3*v**2 + 516*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, e: 6, f: 2, p: 2, d: 3}. What is prob of picking 1 h and 1 n?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:00 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -94.2 times 93\nAnswer: -8760.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -0.05. Let o = v + -0.00995. Round o to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 + 8*i + 47. What is c(-4)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 514856 or 514540?\nAnswer: 514856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 5 + 0*b**4 + 2\/7*b**7 - 4\/3*b**3 + 0*b + 0*b**2 + 0*b**6 + 0*b**5. What is the third derivative of y(s) wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -147 + 15*j**2 + 40*j - 18*j - 18*j + 21*j - 15*j - j**3. Calculate r(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327814 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5\/3 - 932*i**4\/3 + 7684*i**3\/3 - 6748*i**2\/3 = 0. What is i?\nAnswer: -241, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4*747411\/56)\/120. Let v = l + -2211\/5. Calculate the common denominator of v and 151\/1014.\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w + 405 = 16*w. Let z be (-48)\/(-30)*w\/(-18). Solve -z*q + 3 = -9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 804609 and 5382.\nAnswer: 1609218","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(sqrt(20)\/(sqrt(90) + sqrt(90)*2 - sqrt(10) - sqrt(10)) + sqrt(20)\/((sqrt(80)\/sqrt(2))\/sqrt(4))).\nAnswer: -3 - 8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, -101, -223, -329, -413?\n\"Answer: r**3 - r**2 - 136*r + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -9ad?\nAnswer: 9a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 873248 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, -18, -72, -138, -210, -282, -348, -402?\n\"Answer: a**3 - 15*a**2 + 2*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5\/7 - 1028*v**4\/7 + 14122*v**3\/7 - 61168*v**2\/7 + 84072*v\/7 - 36000\/7 = 0.\nAnswer: 1, 6, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17 + 12 - 2*z**2 - 2. Let i(n) = 4*n**2 + 5*n + 5. Let v(a) = a**2 + a + 1. Let j(k) = 2*i(k) - 10*v(k). Calculate h(j(r)).\nAnswer: -8*r**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 15909\/5 and 3183 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.08, 0.06, -3\/2, -0.5, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -26, -49, -78, -113, -154?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 6 + 0 = 0. Let a(n) = 2*n**3 - 4*n**2 + 4*n - 3. Let f be a(2). What is the second biggest value in -3, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 275753 + -276100.647. Let j = z + 347. Let p = j - -0.65. Round p to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 9:09 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*i**3 + 5\/2*i**2 - 1\/2 + 2*i**5 - 4*i**4 - 1\/2*i = 0. What is i?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 + 18*f - 15. Let v be r(5). Which is the nearest to v? (a) 1 (b) 0.22 (c) -0.5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75606 - 1551?\nAnswer: 74035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + k**3 - 3 - 3 + 6 - 2 in the form y*k**3 + u*k + q + o*k**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m**3 + 3*m**3 - 25*m**3 + 13*m**2 - 5*m**3 - 39*m**3 - 1 wrt m.\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1988*i. Let a(p) = 13*p**2. What is o(a(g))?\nAnswer: -25844*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27873960 a multiple of 1881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/60785 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/11 + 1753942*c**2\/11 - 8769752*c\/11 + 7015808\/11 = 0. Calculate c.\nAnswer: -876976, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/7904880 and -97\/360.\nAnswer: 7904880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 21*y - 308 = -65*y + 39*y, -y + 55 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*d - 23, 2*g - 7 - 9 = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2033008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/1413?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/456 + 1774050\/19 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104474631, 208949275, 313423929, 417898599, 522373291, 626848011?\nAnswer: 731322765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.039 + -13442231404.\nAnswer: -13442231403.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -59\/2 (b) -121 (c) 360\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5\/((a\/((a\/a**1)\/a*a))\/a))\/((a**1\/a*a)\/a)**(2\/47)*((a\/a**0)\/a**(2\/41))**6 assuming a is positive.\nAnswer: a**(439\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/60 + i**4\/8 - 13*i**3\/6 - 6018*i**2. Suppose u + 5*x = -13 + 2, 0 = u + 3*x + 9. Determine w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*-9*(-1)\/6\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 24b3?\nAnswer: 24ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*b - 2)*(274*b**3 + 387*b**3 - 2*b - 549*b**3).\nAnswer: 448*b**4 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*r - 74*r = -50 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 31. Let m = h - -11. Solve -15 = -4*i - m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**7\/70 + z**4\/8 - 3*z**2\/2 - 1. Let c(r) be the second derivative of s(r). Find the second derivative of c(n) wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 785.9115um?\nAnswer: 0.7859115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0*z**2 + 5\/3*z**3 - 12*z + 0. Let u(i) = -i. Calculate u(q(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1423149 and 437892.\nAnswer: 5692596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 1, i: 1, a: 2, j: 2}. Give prob of sequence aaex.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 7*y**2 - 6*y + 4. Let h be j(-6). Let v = h + -1. Let l = 1507 - 1506.7. Which is the closest to -0.1? (a) v (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 65989.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4725 - 4699. Solve -s*m + 20*m - 12 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*m = 140, -5*m - 35 = -2*j + 20. Calculate the greatest common divisor of j and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 3*q + 1. Let w(j) = -3*j**2 - 7*j + 2. Let u be 6\/2*(-12)\/18. Let z(l) = u*w(l) + 5*i(l). Let b be 3\/6 + (-2)\/(-4). Calculate z(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001100000011100 - 1101?\nAnswer: 1101001100000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naz when three letters picked without replacement from nkzaaazarrrnnnznna.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*v - 25, 3*v - 10 - 5 = -2*c. Calculate the remainder when 34 + -2 + c\/5 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*t + 2*t + 994, a - 238 = 3*t. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30034 (base 5) in base 12?\nAnswer: 111a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176408562 - b**2 - 176408562.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -116*u - 19. Is x(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323900179 a multiple of 696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + t + 0*t = 10699, 0 = -4*t - 4. Let q = -4201 - l. Let i = q - -9049\/6. What is the common denominator of -61\/8 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2 - (-11 - -1)) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -20*p**3 + 27*p**2 + 22*p - 44. Let m(o) = o**3 - o**2 - 2*o + 4. Give 22*m(b) + 2*x(b).\nAnswer: -18*b**3 + 32*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - w = 4, -5*r + 14*w + 10 = 15*w. Which is the third biggest value? (a) r (b) 0.07 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (11 + -9 - 13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqrqqoqqqqrqqrqq?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421342?\nAnswer: 2, 210671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b**5 + 2*b**5 + 1 - 2)*(1 + 0 - 3) + 0 + 0 - 2*b**5.\nAnswer: 14*b**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-291)\/(-33) - 0 - 8\/(-44). Put -2, 2, -3, c in decreasing order.\nAnswer: c, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7004007 millennia to months.\nAnswer: 8404.8084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50130.1 - -50130. Let q be (-3 - 0)\/3 + -1. Let j be (q + 1)\/((-2)\/(-14)). Which is the nearest to o? (a) 1 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**4\/12 - 25*v**3\/6 - 17*v**2\/2 - v + 7. What is the remainder when 26 is divided by y(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. What is the derivative of 4 + 2*d**2 + 4 - p wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 122, -5 in descending order.\nAnswer: 122, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1078031 - 1078031 - 292*f**3 + f**2 to the form i*f**3 + h*f**2 + r*f + x and give i.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3205.08 and 1.\nAnswer: 3206.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcx when three letters picked without replacement from mcxxxmxemxcmxxxcmx?\nAnswer: 15\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(528)*3*3)\/((sqrt(110)*2 - sqrt(110) - sqrt(110) - sqrt(110) - sqrt(110))\/sqrt(10) + 1*1*sqrt(11)).\nAnswer: 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*g - 25, -1089*g - 4*l + 3 + 2 = -1084*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from {i: 1, q: 2, b: 1, e: 1, g: 1, k: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/7412 and 45\/436.\nAnswer: 7412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6743 - 4097. What is the highest common factor of m and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + 1. Suppose a + 183 = n*h, 0 = 5*a - 2 + 7. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y - 23. Let k(j) = -4*j - 11. Let f(v) = 15*k(v) - 6*o(v). Let c be f(-6). Solve c = -4*w + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-9\/5))*i\/(i**9*i))\/(i**(-15)\/(i**(3\/2)*i)))**(1\/25) assuming i is positive.\nAnswer: i**(67\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 12 = 2. Suppose -g - 5*w + 18 = 0, -j*g = 3*w + w - 27. Let y(a) = a**2 - 5*a - 6. Let o be y(6). Solve o = -4*p + p - g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 13*y**2 + 11*y + 14. Let t = 28 + -16. Let p be h(t). Solve -2*a - 4 + p = 2*n, 5*a - n = 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 276*i**2*y**2 - 50156*i**2 - 74455827*y**2 with respect to i.\nAnswer: 552*i*y**2 - 100312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22065369149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.22 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2*((-12)\/2)\/228)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200022 (base 3) in base 10?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 2:11 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1274 - 936. Let s be ((-12)\/10)\/(2\/(-5)). Let o = m - s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/21 - -41\/105. Let y = -0.7 - 0.3. Let c = -10 + 13. What is the closest to y in 5, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*v - 20, 4*h = v - 6*v + 2. Let s(o) = 4 + 2*o**3 + 0*o - o - h*o**3 - 4*o**2. Is 8 a factor of s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4443 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-3) - 20\/(-12). Let f = 468 - 2819\/6. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*o + 3, 3*o = 2*a + 8*o - 5. Suppose a = 10*y - 2193 + 503. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16928065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-40)\/(-12))\/(4\/(-6)). Let j be 3\/(-5) - 18\/v. Suppose 4*q - 12 = 0, -2*t - 66 = j*t + 3*q. Is t at most as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2 and (-41)\/(-4) + 222\/37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 4*x)*(-8*x + 9*x - 15*x**3 + 17*x**3 + 2*x**2) + x**4 - x**4 - x**4.\nAnswer: -7*x**4 - 6*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277485427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204)*-5)\/((sqrt(108)\/(-3*sqrt(9)))\/sqrt(4)).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(12\/(-8)*4\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -3. Suppose -10*x = -5*x + 20. Let g(f) = -2*f + 9. Let r be g(5). Put w, r, x in decreasing order.\nAnswer: r, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785098369?\nAnswer: 11, 17, 1559, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/5)\/l)\/l**(-6\/5)*(l**(-7)\/l)\/(l\/l**(-6)))\/((l\/(l**(-3)\/l))**(-35))**(-36) assuming l is positive.\nAnswer: l**(-31568\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*b - 9*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.42 + -5.72. Let t = c + -20.7. Let v = t + 25.9999884. What is v rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13112 (base 4) in base 2?\nAnswer: -111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 7*l**5\/60 + 5*l**4\/4 - l**3\/6 - 147*l**2. Let c be s(-5). Sort c, -3, 1, -2 in descending order.\nAnswer: c, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*c - 4 = 0, -16 = -0*d - 4*d - 2*c. Let a be 2*(d\/4 + 1). What is the units digit of 5 + -4 - (-9)\/a*67?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02843 + -2.02843. What is the third smallest value in 1\/8, a, 2\/3, 14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 7*x + 7. Sort x, -3, 0, 65.\nAnswer: -3, 0, x, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**3 - z**2 + 11*z. Let h(d) = d**3 + 15*d**2 + 27*d + 17. Let r be h(-13). Let i(a) = -3*a**3 + 4*a. Calculate r*v(m) - 11*i(m).\nAnswer: m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 5*p + 1. Let c be i(5). Is 213*(-4)\/(-12) - c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.4, -67, -82, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**3\/3 - 245*x**2\/2 - 19. Let v(d) = d. Give v(o(s)).\nAnswer: -s**2 - 245*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -894*d + 68. Let r be o(-20). Suppose -5*u + w + 17978 = -r, 3*u - w - 21554 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 258.99999817 + -259. What is t rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -1\/5, 0 in decreasing order.\nAnswer: 0, -1\/5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*j, -3*r - 4*j + 0 = 6. Let l(s) = -s**3 - 6*s**2 + s + 8. Let q be l(r). What is the units digit of 1*12\/3*q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-420)\/(-77))\/30)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = -14*b - 317. Suppose 15 = 3*w, 549 = -5*p + 6*p + b*w. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053 is divided by 61?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 8*f - 20. Let d be x(-10). Let i(g) = -3*g + 19. Let t be i(d). What is the derivative of 6 - 14 - 10 + t*r**2 wrt r?\nAnswer: 38*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93518? (a) 3\/4 (b) -1 (c) 2\/13 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1310 or -1311?\nAnswer: -1311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9248 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 + 4*l**2 - 6*l - 2. Let z(d) = 10*d**3 + 13*d**2 - 19*d - 7. Let s(w) = -7*j(w) + 2*z(w). What is the units digit of s(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 1. Suppose 0 = -m + 2*k - 4, 16 = 5*m + k - 2*k. Let t(q) = 6*q - 1. Give m*x(v) - t(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942 a factor of 266455548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67b7 (base 14) to base 16.\nAnswer: 464d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71776, 71751, 71726, 71701, 71676?\nAnswer: 71651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 65*g**2 - 33*g - 2162. Determine y(-65).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + z - 2 = 0, 3*z - 138 = -3*s - 120 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z + 5*z. Suppose -4*m = -5*w + 2499, -m - 483 = -w + z*m. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 1\/3*3. Let z be j*(-5)\/(1395\/6). Is 1 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -85*v**2 + 4752*v - 21227. Determine b(51).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 >= -2936464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 931413137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 27*t**3 - 5*t - 1. Let c(u) be the second derivative of 7*u**5\/10 - u**3\/3 - 7*u. Let x(w) = -5*c(w) + 2*o(w). Differentiate x(d) with respect to d.\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -868856 and -13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i + 1871 - 4*i - 1883 to the form n + z*i and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 903, 2144, 3385, 4626, 5867?\nAnswer: 7108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5 + 94*v - 92*v + 2*v**2 - v**3 + 3*v**2. Determine p(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - ((-8)\/2 - 551). Suppose -4*y + 0*x + 2*x = -444, -x = -5*y + s. What are the prime factors of y?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 - -105. Calculate the common denominator of 7\/4 and (1\/6)\/(y\/(345\/(-12))).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/k**(-8)*k)\/(k**6\/k))**(-35))**(-25) assuming k is positive.\nAnswer: k**6125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2279 + -31869\/14. What is the common denominator of p and -79\/58?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/55)\/(94\/517).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.3. Let i = -0.9553 + 4.1553. Sort w, -4, -3, i.\nAnswer: -4, -3, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7. Suppose -4 = -r + 3*r + h*a, -r = 5*a + 7. Let q = 13 - 4. Solve 0*j + r*j = q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 - 67 - (-4 + -2) - 19 - -8 - 69.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u + 0*u)*(-104*u**2 - 724 + 724 + (1 - 1 + u)*(2*u - u + u)).\nAnswer: -102*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 2*f**2 - f + 1. Let l(q) = -25*q**3 + 12*q**2 - 4*q + 5. Determine l(k) - 5*y(k).\nAnswer: -30*k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + c**3 + 2*c**3)*((-3 + 5 - 3)*(-3*c - 2*c + 2*c) + 5*c - 6*c + 2*c)*(2*c + 5 - 5)*(-2 + 2 - 9).\nAnswer: -144*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*g + 39 = -0*g, f - g = 33. Let q = f + -23. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*i**4 - 24*i**4 + 59*i**4 + 67*i - 89*i - 12 + 3 + 3*i**2 to the form j + h*i**2 + a*i**4 + o*i + r*i**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-16)*h)\/h*h\/h**(3\/5)*h*h*h)\/(h**(4\/3)\/h*h**(-9)\/h))**(9\/10) assuming h is positive.\nAnswer: h**(-66\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/28 + 5\/595*-82. Let r = 0.2 - 2.2. Which is the second biggest value? (a) 3 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -21*f - 3. Let g be y(-7). Suppose w - 3*w + g = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n. Let v(t) = t + 1. Suppose 0 = -90*j + 85 + 5. What is j*z(s) + 3*v(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12*t - 5*t + 8*t. Let r(x) = 7*x. Let k(q) = 5*r(q) - 2*y(q). What is the units digit of k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*g = -10, -h - g + 1 = -1. Let a be -1*21*h\/(-6). What is the derivative of 11*w**4 + a*w**3 - 7*w**3 + 39 + 5 wrt w?\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 8 - w + 8*w + 2*w. Let k(z) = -z - 1. Give 24*k(i) + 3*t(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1998 and 593628?\nAnswer: 5342652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by (-18)\/(16\/((-112)\/3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 195\/41?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + 12*f - 9. Let w(h) be the third derivative of h**5\/10 - 11*h**4\/24 + 4*h**3\/3 - 11*h**2. Let p(v) = -5*q(v) - 6*w(v). Determine p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -3)*(-1)\/(-1). Suppose r*i = 5*i, 3*u = -3*i. Is 1\/6 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52 + -19 - 46) + 0 + -4 + 1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.4422 + -3.0422. What is the closest to a in 0.5, 10, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 36, 51?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 7. Let o = l - -9. Let m = -160 - -175. Calculate the smallest common multiple of m and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -71, 0, 0.2, 852, 5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5 or 1007?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 148*d - 1281. Calculate o(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, u: 3}. Give prob of picking 2 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 13) + (0 - (-4 - -5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -18*t + 601. Let j be d(31). Sort 3, -1, j in decreasing order.\nAnswer: j, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:24 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 20.1. Let h = w - 0.9. Put -4, 1, h in increasing order.\nAnswer: -4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 23*r + 179. Let g be z(6). Let d(l) be the second derivative of 13*l - 1\/4*l**g - 5\/6*l**4 - 5\/6*l**3 + 0 + 0*l**2. Factor d(v).\nAnswer: -5*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -131*s**3 - 160*s**2. Let w(r) = 44*r**3 + 53*r**2. Let g(b) = 6*u(b) + 17*w(b). Find the third derivative of g(h) wrt h.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 9:12 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-12)*(-3)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12222021 - -1003?\nAnswer: -12221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, v: 7}. Give prob of sequence vvcc.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 659215675 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 18*i = -7*d - 3, -4*i + 12 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 - -2895\/16. Put l, 0.4, 0.1 in decreasing order.\nAnswer: 0.4, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -2*z - 21*z. Let y = 1 + -2. Let h = -3 + y. Sort 2, z, h.\nAnswer: h, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 greater than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 9*h + 10. Let r be g(-7). Suppose 2*p - 27 = -o, p + r = 3*p + 4*o. Calculate the least common multiple of p and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**4 - 30*h**3 + 40*h**2 + 30*h - 35 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21217.024*36\nAnswer: 763812.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 19127478*r + 30488367886707.\nAnswer: 3*(r - 3187913)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1028 - h - 985 + 4081 - 1038 - 1030.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (405\/(-6480))\/((140\/32)\/7).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 + (-3 - -2) + 3) - -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**1\/p))**(1\/21) assuming p is positive.\nAnswer: p**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 291\/(-3))*-1. Let c(q) = q**2 + 4*q - 41. Let p be c(-14). Which is bigger: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3927013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.07 + -0.07. Let f = 8 - j. What is the second smallest value in -0.2, 3\/2, f?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6896301 is divided by 2580.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (496*o - 414 + 414)*(-2*o**2 - 8 + o + 2 + 8) to the form t + h*o + s*o**3 + m*o**2 and give h.\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1125004 - 45?\nAnswer: -1125053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13101\/(25*25\/5625). What is j rounded to the nearest 1000?\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1334*v**2 + 448*v**2 - 1620*v**2.\nAnswer: -2506*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 188*a**4 + 176*a**3 - 52*a**2 - 104*a. Let n(b) = -29*b**4 - 27*b**3 + 8*b**2 + 16*b. Let h(w) = 5*j(w) + 32*n(w). Find g, given that h(g) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**3 - 45*g**2 - g + 18. Let b be a(15). Suppose -4 = -t - 1. Differentiate x**3 + 8*x**3 - 4 + 4*x**b - 5*x**t wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39872 and -0.5.\nAnswer: -19936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 20. Suppose w*m = -2*m. Let l be (-28)\/(-33) + 2\/(-3). Put l, m, 5 in ascending order.\nAnswer: m, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 10\/2 + 1. Suppose 58 + o = 2*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000007383033 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011 (base 2) to base 5.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1850*v - 1332 + 689 - 121 - 1086 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -436\nAnswer: -1\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*v - 1)*(-1 + 0 + 3) - v - v - v + (2*v + 4*v - 7*v)*(0 - 4 + 5) - v - 2*v + 4*v in the form q + w*v and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - 42. Let n = a - 15. What is the greatest common factor of 18 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2580\/(-100))\/(-43))\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:41 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 40 = -4*y - 4, -3*y = -4*r - 32. What is the least common multiple of y and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-576)*72624\/89?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11286400 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 609948*p - 612152*p + 257868 for p.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 552.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.95456 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 42*q**2 + 5*q - 34. Let i(n) = 23*n**2 + 3*n - 18. Let z(u) = 11*i(u) - 6*p(u). Give z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-2*t**4 + t - t)*(32 + 48 - 3) + (0 + 3 - 2)*(-t**4 + 5*t**4 - 5*t**4)*(0 + 0 + 2) as l*t + d*t**4 + b*t**2 + q*t**3 + z and give d.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 5 = 32. Suppose -6*o + 4*o - 5*a = -40, 3*o - y*a - 18 = 0. Suppose 2*j - 4*j = -22. What is the lowest common multiple of j and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 18*o**2 + 40*o + 15. Let w = 145 + -125. Let u be g(w). What is the greatest common divisor of u and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 7*a**2 + a**2 + 9 in the form c*a + k*a**2 + g and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -435 - -23?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129)\/(-774) + (-37)\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 17*w + 5. Let h be b(9). Let g be (-4 - h)*3\/(-6). Solve l = -g + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -509 + 482. Let c(u) = u**3 + 27*u**2 - 21*u - 56. What are the prime factors of c(n)?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/506*((-9)\/(-1))\/270*-8.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 12 = 0, t = 4*c - 23 + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025786 to 4 decimal places.\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 23 = -3*g - 0*u, 0 = -3*g - u + 13. Let b(k) = -k + 7. Let i be b(g). What is the derivative of p + i*p - 4*p + 4*p - 1 wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = -1. Let h be (-3 + 5)\/(p*-13). Let s = -45599 + 45598.97. Which is the smallest value? (a) -1 (b) h (c) -5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -3)\/((-8)\/16). Suppose j*o = -7*o. Solve 5*i - 3*k - 11 = -o*k, -5*k = 5*i - 35 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 1, m: 1}. What is prob of picking 1 h and 2 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j + 1. Suppose 6*f - 16 = 2*f. Suppose 0*a + f*a - 12 = -l, 0 = -4*l - 5*a + 37. Calculate the least common multiple of l and m(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375457 is divided by 20227?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 6*p + 2. Let m be s(-6). Suppose 9 = -z + 3*h, 0 = 3*z - h - 7 - 6. Find the third derivative of -z*b**m + 3*b**2 - 2*b**3 + b**2 wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -4*o**3\/3 - 3*o**2\/2 + 3*o - 4. Let g(c) = 23*c**2 + 17*c - 17. Let j = -71 + 105. Determine j*y(n) + 6*g(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -137 and -358332144.\nAnswer: -358332281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -281*l**4*p**2 + 93*l**4 - 60*l**2*p**2 - 90*l**2*p + l*p**2 wrt l?\nAnswer: -6744*l*p**2 + 2232*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -7*b**4\/8 + 2*b**3 + b**2 - 2385. Factor t(v).\nAnswer: -v*(v - 2)*(7*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -44*d**2 + 7*d + 6. Let r be (-187)\/(-33) - 2\/3. Suppose -3*u = -r*u + 8. Let s be y(u). Round s to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.1 rounded to the nearest 10?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8316834nm to meters.\nAnswer: 0.0000000008316834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/b**26)*b)\/((b*b\/(b*b*b**(3\/26)*b)*b)\/b))**(-23) assuming b is positive.\nAnswer: b**(-16215\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 4, e: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -9, -16, -21?\n\"Answer: a**2 - 12*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -42080135 * -0.5\nAnswer: 21040067.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 2, -0.0647, -1364?\nAnswer: -0.0647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 5*t - 73. Put 2, -39, t in increasing order.\nAnswer: -39, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*v + 3 = 0, 4*y = 5*v + 27 + 46. Solve -153 + 141 = y*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127582 + 242762. Round u to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/(-54))\/((-16)\/(-72)). Solve 5*j - 5*s - 30 = 0, -2*j - k*s - 18 = -0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Suppose -2*z = d*c + 4 + 4, -16 = -c + 4*z. Suppose -j = -c + 3. Sort 5, j, -4 in descending order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 14 = -u - 8*o, 0 = -5*u - o - 70. Sort 2, 0.1, -2\/15, u in decreasing order.\nAnswer: 2, 0.1, -2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {a: 4, v: 3, w: 1, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445, -449, -459, -481, -521, -585, -679, -809?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/3066 and -3\/1265236.\nAnswer: 3795708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 2. Suppose -12 = 4*u + u + c, -5*c = -5*u. Let y(m) = m - 1. Let a(z) = u*h(z) - 4*y(z). Give a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 16 = -26*a. Find the common denominator of 93\/10 and ((-49)\/(-5))\/(-4 - a\/5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*b - 4063 = 6*b + 1187. Let q(d) = d**2 + 3*d. Calculate the lowest common multiple of b and q(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5172055 + -0.28?\nAnswer: 5172054.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 2*c + 63. Is 9 a factor of s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 9:32 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27 (b) 2 (c) 8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -590137*i**2*l*o**3 - 108*i**2*o - 6*i*l*o**2 - i*l*o + 2*l*o**3 + 2*l*o**2 wrt o.\nAnswer: -3540822*i**2*l + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w - 11. Let v be l(2). Is v*(-4)\/12*479*-7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*a + 40, 33*a - 1940*j - 330 = -1944*j for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1 = -c + 8, 4*c = -20. Suppose -m = -d - 0*d + 1976, k*m - 2*d + 7896 = 0. Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/17)\/d*(d*d\/d**(-22))\/d assuming d is positive.\nAnswer: d**(370\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbhrhbcbbhzw. Give prob of picking 1 b, 1 w, and 1 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145586 is divided by 28738?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/280)\/(((-1218)\/(-725))\/(-21))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:48 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1100000110 (base 2) to base 8\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5403.\nAnswer: 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 1 in descending order.\nAnswer: 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + p + 17, 18 - 3 = -5*p. Let g = 18 - w. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.6 * -49370.\nAnswer: -523322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-12 + -2 + 24)) + -21 + -2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27456 and 25740.\nAnswer: 411840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19777, -79232, -178387, -317242, -495797, -714052?\nAnswer: -972007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-121))\/((-648)\/110484)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 35*t - 33*t - 120, 0 = 2*t - 10. Differentiate 18*r + 99 + 33*r + q*r wrt r.\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1d?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2162\nAnswer: 2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 42. Let g be (-4)\/(-20) + ((-146)\/5 - 0). Let z be d(g). Let y = z - 43. What is the highest common factor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-13 + 5 - 18) - 23.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-55))\/(2\/(-40))*(3528\/21)\/336\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9759 - -79130. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2298 - 2298 - 43*j)*(3*j**4 + 2*j**4 + 2*j**4) + (-4*j + j**3 + 4*j)*(2 + 2*j**2 - 2).\nAnswer: -299*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1968 and -115\/6.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Let f = -11 - -29. Suppose q = 4*j - 3*q + 32, j - 3*q = -f. Sort 3, y, j in decreasing order.\nAnswer: 3, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390726434.\nAnswer: 2, 3, 61, 3799799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1918 divided by -7\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 z when four letters picked without replacement from zzzjzzzjzz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - c = 15, c = 4*g - c + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2931 less than 16095418?\nAnswer: 16098349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 6)*-109*1. Let r = -77 - p. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from cccncwncwccncncc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 50*f**2 + 93*f + 167. Determine w(-49).\nAnswer: -1989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 13. Let z be 5 - (-2 + 5\/q). Solve 0*l + z*l + 3*v - 6 = 0, 5*v - 12 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1943972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**3\/6 - 27*f**2\/4 - 13*f + 711. Factor l(p).\nAnswer: -(p + 1)*(p + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from tlmmtx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*o = -1, 2*k - o = -k + 77. Let t = -1393 - -1417. Calculate the highest common factor of k and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100110021 (base 3) to base 6\nAnswer: -51524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 2 + 49*h + 7 + 50*h + 37*h.\nAnswer: -2*h**2 + 136*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 4*c. Let y be u(4). Sort 1, -4, y in decreasing order.\nAnswer: 1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*g*v**2 + 2260*g*v - g + 16*v**2 wrt v?\nAnswer: -42*g + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4573705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(32) + (sqrt(3872) + sqrt(3872) + 0 - sqrt(32)) + sqrt(32))*1)**2.\nAnswer: -368*sqrt(2) + 16932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 4005 and -10.2.\nAnswer: 3994.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 20 - -11) + -2 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -110400221121?\nAnswer: 110400221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022\/1 + (-15)\/((-150)\/40).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**7\/2520 + l**4\/12 - 3*l**2. Let y(w) be the second derivative of d(w). Let q(t) = 3*t. Calculate q(y(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 5*z**2 - z - 13. Let w be a(3). Suppose 4*k - w*x - 3123 = k, 5221 = 5*k + 2*x. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5729 - 5620. What is the remainder when s is divided by 45?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -8a?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q - 43*q - 27*q**2 + 2*q**2 - q**2.\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-10)*(-28)\/(-70).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {b: 1, q: 7, s: 4, d: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10)*h**(-2\/31)*h)\/(h**(-14)*h**(4\/5)\/h) assuming h is positive.\nAnswer: h**(796\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -16\/7, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**2 - 20*l - 160 = 0.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*j - 27*j + 131*j + 1 in the form b*j + g and give b.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4390626150 rounded to the nearest one million?\nAnswer: -4391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 165971960149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 - 4600*y**2 + 13828*y - 9224 = 0.\nAnswer: -1153, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100101011111110010000 (base 2) to base 6.\nAnswer: -155141224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 694356 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y. Let f be ((-4)\/(-12))\/(2\/18). Suppose f = -3*v + 9. Let p(d) = d**2 + d**v - d**2. Determine q(p(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2. Let l(q) = 1628 + 48*q - 1628. What is s(l(m))?\nAnswer: -9216*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5075*p - 105513 = 144965 + 38797 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -174490*p**2*s**3 + 2*p*s**3 - 4011*p*s wrt p.\nAnswer: -348980*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5))**(2\/57)*(v\/(v\/v**(2\/7)))\/v**(-3\/10))\/((v\/(v\/(v*v\/v**4)))\/v*(v**3*v)\/v*(v*v**(-1))**31) assuming v is positive.\nAnswer: v**(2281\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Let f be ((-4)\/6)\/(13\/78). Let g(w) = -w + 19. Let a(x) = f*v(x) - g(x). Determine a(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-53)\/(-7) - 6\/(-14). Suppose 0 = -s*g + 3*g + 205. Solve 117 + g*h**2 - 5*h**2 - 2*h**3 + 125 + 190 - 216*h = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2100 and 535297500.\nAnswer: 3747082500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -4 (c) -12 (d) -2\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018660029.\nAnswer: 1249, 1616221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08 and 0.0293313?\nAnswer: 0.0506687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -11430\/12389 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252690 is divided by 2554.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9307 or -9308?\nAnswer: -9307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -12, -4, 2\/545?\nAnswer: 2\/545","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 + 97937*r\/3 - 195875\/6.\nAnswer: (r - 1)*(r + 195875)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*r + 2*w = -178*r + 2, -23 = -2*r - 3*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 0.0743 (c) 2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 2*f + 1 = 18*n, n - 9*f = -22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1758*z - 21019. Determine o(12).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27685361, 55370743, 83056125?\nAnswer: 110741507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.9. Let j = 11\/5 + -12\/5. Let v = 672\/11 - 61. Which is the closest to o? (a) j (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a. Let v(s) = -3*s + 4. Let c(q) be the second derivative of q**3\/6 - q**2\/2 + 2*q. Let z(l) = 4*c(l) + v(l). What is w(z(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 0, 0.1, 33, 1 in decreasing order.\nAnswer: 33, 1, 0.1, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 6 = l, 2*c + 10 - 14 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8414 - -2557. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (980\/(-6))\/2 - (-54)\/81. Let o = 85 + c. Suppose o*t - 11*t + 196 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398793900 rounded to the nearest one million?\nAnswer: 399000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7\/5)*d**(-8)*(d*d*(d\/d**(-4\/5))\/d)\/d**(-2))**45 assuming d is positive.\nAnswer: d**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.295 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 53 + 86 + 3*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/32 in 0.3, 5, -15, 1\/5, -3\/191?\nAnswer: -3\/191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -5. Let x(z) = -z**3 - 6*z**2 - 5*z + 26. Let t be x(-7). Suppose q*g - g - t = 0. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815938.\nAnswer: 2, 7, 272567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 46 = -204. Is 50 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 13*b**2 + 2*b + 29. List the prime factors of p(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 21\/3694, 64, -7 in ascending order.\nAnswer: -7, -1\/5, 21\/3694, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20131?\nAnswer: 41, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q - 4*q)*(1 + 4 + 4).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2\/7 + 284199744*g\/7 - 40599964 = 0. Calculate g.\nAnswer: -71049937, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/130 + 51\/130. Let l = 28 + -22.5. Let i = 5 - l. What is the smallest value in i, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37458, -149605, -336520, -598203, -934654, -1345873, -1831860?\n\"Answer: -37384*q**2 + 5*q - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0 + 4 - 3 + 1 + (5 - 4 + 0)*(-1 + 3 + 0) - 7 + 1 + 4 - 5 + 3 - 3)*(2*n**4 + n**4 - n**4).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11373 (b) -4\/5 (c) 3\/17 (d) -3 (e) 0.2 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 35*u - 44. Let x = 3363 - 3329. Give j(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 370 and 555?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcr when three letters picked without replacement from {c: 1, r: 2, s: 2, x: 2, b: 1, a: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 48. Calculate the smallest common multiple of 16 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d317 (base 15) to base 5.\nAnswer: -14131242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -578.9 - -578.9. Are p and -413 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-161)\/(-14))\/(24\/((-192)\/(-8))).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a + 11*a + 7*a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 1\/3, -13 in descending order.\nAnswer: 2, 1\/3, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00150241795 to 6 dps.\nAnswer: 0.001502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 1587 - 286 - g - 29*g**2 - 4.\nAnswer: -27*g**2 - g - 1877","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-25) + -4 + 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -234132411 (base 5) to base 11\nAnswer: -680043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5 + 3*h + 4 - 2*h. Let i(q) = -6*q + 2. What is 4*f(t) + i(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 14*h**2 + h - 1. What is o(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = -5*i + 17, 0 = i + 4*y - 8. Suppose 3*s = i*s - 9. Suppose 0 = -4*b + 84 - 20. Calculate the remainder when b is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 2*h**2 - h - 2. What is the lowest common multiple of g(2) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 + 23*u**2 - 26*u + 29. Let g(o) = o**3 - 11*o**2 + 13*o - 14. Let p(k) = 2*b(k) + 5*g(k). Does 14 divide p(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 3*u - u + 2*y, -4*y = -12. Calculate the highest common divisor of u and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1008) + -1)*2 - sqrt(1008))**2 + sqrt(1008) - (sqrt(1008) + -1 + 1)) + (sqrt(1008) + 1 + -4)**2*-4)*1.\nAnswer: -3056 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -108*s**2 - 35*s**2 - 16*s**2 - 7*s + 10. Let f be w(5). Round f to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*h - r + 2, -4*h + 4*r = -84. Let m = 39 - h. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c**2 - c. Let k be h(-1). Let d(b) = -2*b**2 - 7*b - 4. Let i be d(-4). Let v be ((-9)\/(-3))\/(k\/i). What is the closest to v in 3, 3\/2, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.38 - 0.13. Let d = u - 0.05. Let x = -2.72 + 1.92. What is the closest to 1 in d, x, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18515 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-3)*(-1581)\/(-34) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -3\/7 (c) 39756 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6*l - 28499 = -6633, -17493 = -4*x - 5*l. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:24 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11986 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 x when four letters picked without replacement from xxiixxxxxxix.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 5*o**3 - 4*o**3 - o**2 - 3*o**3 + 7*o**3 to f + j*o**3 + g*o + q*o**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3. Let c = 5.957 + 0.043. Let v be ((-13)\/(-3) - 4)*-2. What is the nearest to p in v, c, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495928.\nAnswer: 2, 7, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 759 divide 164378860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1381203 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309 and 50676?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 4\/3219993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 28. Let j = v + -17. Let z = 21 - j. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192.3 smaller than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 882.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - 0) + 20 + -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-36)*10\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(8\/12) - -26. Suppose 3*s - w + b = 0, 0 = s - 0*w - 3*w + 7. Let o be 20\/s*(-5)\/2. Solve 4*x + 25 = -n - x, 5*n + o*x + 45 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2123200 + -13001?\nAnswer: 2110144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i - 11 = 0. Suppose 4*s - i = 3*m, -s = 2*m + 1 + 10. Is s != 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**2 + 7*x - 5. Let d(g) = -9*g**2 + 10*g - 7. Let u(y) = -5*d(y) + 7*s(y). Let p be u(-1). Solve k = -p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = 5*r - 47, -3*l = -4*r + 39. Suppose -r*x = -3*x - 2874. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbl when three letters picked without replacement from {m: 5, g: 2, l: 4, b: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -584*w**3 + 2*w**2 - 592*w.\nAnswer: -3504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/13*2873\/(-442). Solve -t = 2*f, 87*b + 2*f = 85*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101285, -101287, -101289, -101291, -101293, -101295?\nAnswer: -101297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 7*d**2 + 5*d. Let t be a(-6). Suppose 0 = 2*g + t - 12. Suppose -n + 4 - 9 = 2*k, -3*k = -4*n - 9. Sort g, -5, k in ascending order.\nAnswer: -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16579866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-504)\/6)*4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 13, 47, 115, 229, 401?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 32 = -0*a. Find the common denominator of -3\/4 and (97\/(-3))\/(a\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -176926, -354107, -531286, -708463?\n\"Answer: r**2 - 177184*r + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/7 - 13250*p - 185508\/7 = 0. What is p?\nAnswer: -2, 46377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 12060.447594.\nAnswer: 12058.447594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 - 1*(4 - 11) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12da (base 15) to base 7\nAnswer: -14515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -10*o + 4*f - 16, -3*f + 12 = 5*o. Suppose q - 3*q - 4*l + 10 = o, -5*q = l - 25. Solve 0 + 2\/9*d**4 - 2\/9*d**2 + 2\/9*d**3 + 0*d - 2\/9*d**q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34162 - 3142857\/92. Find the common denominator of l and -45\/14.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 15, 1 = -3*m + 2*w - 0*w. Suppose -2*g + 28 = z + 10, z = -m*g + 16. Suppose -3*x + z = -x. What is the greatest common factor of 55 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + o + 1 = 0, 4*o - 4 = -a - 8. Solve a = -4*p, 6*p - 5 = -5*g + p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + 0*j + 0*j)*(-1 - 1 + 1)*(6*j + 2*j - 4*j) + 0*j**3 - j**3 - j**3 to the form f*j + r + t*j**2 + x*j**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**3\/4 + 109775*z**2\/4 + 648936915*z\/4 + 499233869145\/4 = 0.\nAnswer: -10527, -901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h - 4*h)*(7 + 8 - 7)*(h + 2 - 2).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 24 = 4*i. Suppose 0*d - 2*d + 48 = i*x, -2*x - 4*d = -36. Suppose -j - 4*j + 90 = 0. What is the remainder when j is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77 - -11?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -3*w + 0 + 2\/3*w**3 + 0*w**2 - 5\/6*w**4 - 7\/10*w**5. Factor u(g).\nAnswer: -2*g*(g + 1)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbz when three letters picked without replacement from {z: 5, b: 1, l: 5, q: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 3541*d**6\/10 + 5828*d**3\/3 + 6*d - 470. What is the second derivative of c(v) wrt v?\nAnswer: 127476*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 2*r - 2*r + 2*r - r + r + 0 + 0 + r + (5 - 5 + 2*r)*(-4 + 2 + 3) - 19*r - 12*r - 8*r - 6*r + r + 3*r in the form a + g*r and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/12)\/(3\/4). Suppose 3*y = -t + 539, -p*t - 2*y + 0*y = -2721. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n. Suppose 3 = 4*q - 1. Let l(h) = 4*h**2 - 2*h**2 - q + 1. Determine i(l(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 351 by -58237.\nAnswer: -351\/58237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1784051*y - 1 + 1 + 1784048*y - 5352153*y + 1784048*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.77 and -16795681.\nAnswer: -16795680.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1446*c**2. Let s(x) = -786*x**2. Give s(b(y)).\nAnswer: -1643459976*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/673 and 29\/2.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 14*p**2 + 2. Let z(q) = -q**3 + 11*q**2 + 9*q + 22. Let n be z(12). Let a be s(n). What is the second smallest value in 0.1, a, -33?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0, 161, 65, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -52. Solve 2*j + 2 = -a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -614277 - -5?\nAnswer: -614272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 36*j + 33*j = 383, -187 = -2*o + 3*j. Let n = o + -98. Solve -5 = -n*x - x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 724.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 + -137. Suppose -4*j = -2*c - 4, 3*c = c + 3*j - 1. Sort c, -4, g in ascending order.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1)*93\/(-2511).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -840 + 833. Let z(x) = -3*x. Calculate z(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3238345*m + 3012805 with respect to m.\nAnswer: -3238345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**4)*l**6*(l*l**(-5\/6))\/(l*l**6))\/((l\/(l\/((l\/l**5)\/l))*l*l**(-5)\/l)\/(l**(-3\/7)*l*l\/((l*l**(-2\/17))\/l*l)*l*l)) assuming l is positive.\nAnswer: l**(5609\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a\/(a**(-3)\/a))\/a)*a**14 assuming a is positive.\nAnswer: a**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4823\/(-26))\/(-53))\/(1*14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**8\/1848 - x**7\/1155 - x**6\/220 + x**5\/66 - x**4\/66 + 11*x**2 - 5. Let a(p) be the second derivative of i(p). Factor a(c).\nAnswer: 2*c*(c - 1)**3*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8875260.\nAnswer: 2, 3, 5, 49307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {c: 2, s: 1, i: 1, k: 1, p: 11, u: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-340*r**3 + 1616*r**3 + 1678*r**3)*(-r + 5*r - 3*r).\nAnswer: 2954*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 1438.7.\nAnswer: -7193.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -240, -463, -692, -933, -1192, -1475, -1788, -2137?\n\"Answer: -i**3 + 3*i**2 - 225*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 17 + (-2 - 1). Let l = v + -9. What are the prime factors of ((-6)\/4 + l)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -2 - 2*b + 11\/2*b**2 + 5\/3*b**3. What are the prime factors of c(-4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(256\/(-304)) - 12. What is the closest to 5 in i, 4, -1.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:27 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 40420 divided by 8084\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1*(-12)\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 2*c - 4*c**3 - 2*c**2 - c - c in the form s + x*c**3 + q*c**2 + p*c and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b - 9*b. Suppose 3*w = -2*s - s - 1857009, b = -2*w - 6. Round s to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9662721?\nAnswer: 3, 3220907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0)*37\/(-111) + -5 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrz when three letters picked without replacement from rvvdzddddzxrrr?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/((k\/(k*k**(-2\/19)))\/k))\/((k\/k**(-1\/2))\/k*k\/k**(-3\/4))*((k\/(k\/k**(-2\/7)))\/(k**4*k))\/(k**(-5)*k**(-3)\/k) assuming k is positive.\nAnswer: k**(2851\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*f - 21 = -129*f. Let d(n) = -24*n + 95. Let s be d(f). What is the highest common factor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886 - 904 = -3*q, -4*g - 10 = -5*q. Solve 2*b - g*d = 16, 24 = 3*b - 127*d + 126*d for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1843710.\nAnswer: 2, 3, 5, 11, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28497 >= 113985\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 + 4) - (-3 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19828065 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -20, 156*v = -4*f + 152*v + 97 - 17 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 28 = -0*w. Suppose 0 = m - 3*m + 2*l + w, 3*m - 4*l = 26. Let v(r) = -r**3 + 1. Calculate v(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.5, -0.15, 1\/13, -3\/5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 0*f + 9 - 3\/2*f**2 + 31\/3*f**3. Find the second derivative of w(g) wrt g.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -2) + (-144380)\/(-5) - 4. Suppose -3*u + 17294 = 73307. Let c = u + m. What is c rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(171) + 4)**2 + sqrt(19) + sqrt(190)\/(sqrt(160) + sqrt(10)).\nAnswer: 131*sqrt(19)\/5 + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26229 and 441?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5597?\nAnswer: 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h\/((((((h\/(h*(h*h\/(h**10*h))\/h*h))\/h)\/h*h)\/h)\/h*h)\/h))\/h*((h*h**(-1\/8))\/h)\/h)\/(h*h**2*h)**34)**(-27))**2 assuming h is positive.\nAnswer: h**(30483\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298733*r**3 + r**2 - r**2 - 299324*r**3.\nAnswer: -591*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 11:56 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 52056.\nAnswer: 25\/52056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -1494 (c) -1520 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.631 - 5.031. Let t = -1.54 + 1.4. What is the closest to -2\/5 in -4, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 127*r + 23. Let n(x) = -272*x - 44. Calculate -13*f(u) - 6*n(u).\nAnswer: -19*u - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/455 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d = -5*o - 40, 3*d = 4*o + 18. Let y be (-4)\/(-10) - o\/(-15). Let t be ((-3)\/22)\/(9\/12). Is y less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + (-2 + sqrt(1872))**2)*-5.\nAnswer: -9375 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 1, y: 1, q: 2}. What is prob of picking 1 y and 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 27*t - 85. List the prime factors of c(65).\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 319.\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -171013, -171007, -171001, -170995?\n\"Answer: 6*q - 171019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 less than -10.7519733119?\nAnswer: -10.7079733119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456186 is divided by 486?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -3*f**2\/2 - 9*f + 3. Let u(i) = -6*i**2 + i + 1. Let z be u(-1). Give w(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.517855 rounded to three decimal places?\nAnswer: -0.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 17*g = 32136. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.4 at least as big as 1217.64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 3884 divided by -1?\nAnswer: -3884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1728 and 17\/9.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 1:00 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 218 = -11*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102598 is divided by 342?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 129007 divided by -4?\nAnswer: -129007\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 121 - 132 = -5*j, -6*j + 14 = -5*l. What is the nearest to 0.39 in l, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107464932 divided by -9314.\nAnswer: -11538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 3. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/1727 - 8484\/260777. Let c = b + -9493\/604. Let u = 11 - 8. What is the common denominator of u and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -115*l - 58. Let g(f) = 72*f + 39. Let b(t) = 8*g(t) + 5*k(t). Let m(c) = 64*c**2. Give b(m(u)).\nAnswer: 64*u**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -928 divided by -2212.\nAnswer: 232\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1382 + -1382.2. What is the nearest to 3 in 3, v, 0, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37404425 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -758 + 760. Let q(f) be the second derivative of 0 + 5*f - 2\/15*f**6 + 3\/4*f**4 + 0*f**3 + 0*f**a + 0*f**5. What is the third derivative of q(x) wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8993.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5347874 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*n - 2*l - 0*l, 5*n - 4*l - 42 = 0. Suppose 13*k + 35*q - 216 = 15*k, -3*k + 2*q - 21 = 0. Sort k, n, 2 in decreasing order.\nAnswer: n, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 0, 50*u - 18*u - 30*u = -4*k - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/5)\/((-174)\/15 + (-276)\/(-23))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33241\/4 + 8310. Which is the nearest to w? (a) 19 (b) 0.02 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000054487192 rounded to 7 decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4076 + -4074. Solve -5*l - r*p + 69 - 72 = 0, -5*l = 3*p + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssss. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 14. What is the second derivative of -12*z + 604*z**v - 608*z**3 - 7*z wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1900186?\nAnswer: 2, 41, 23173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**3 - 2*r**2. Let q be -2*4\/((-24)\/(-9)). Let x(u) = 5*u**3 - 3*u**2 - u. Let o = 14 - 12. Give o*x(g) + q*m(g).\nAnswer: -2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 5:05 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*x - 1, -43*h + 7*x - 214 = -4*x + 12*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 - 156 + 188 = 35*y. Calculate the remainder when 584 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {z: 3, g: 4, y: 7, b: 1, h: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5293 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 (base 7) in base 9?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = j - 50, -5*a - 5*j + 0*j = -70. Solve -3*s + 3 = a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/29))\/(t\/t**(-2\/13)*t)*t\/t**(-1)*(t**(2\/5)*t)\/t assuming t is positive.\nAnswer: t**(2219\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + 2.5. Let d = -28.74 - -29. Let s = 0.06 - d. Sort 6\/7, a, s in descending order.\nAnswer: a, 6\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-120))\/((-1)\/10). Which is the nearest to -1? (a) -1\/5 (b) 35 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 24*t**2 - 38*t**2.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 334480.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*z - 125. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 3*sqrt(200) + -2)*-1*3)**2.\nAnswer: -1440*sqrt(2) + 28836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 1.1. Let o = g - 4.7. Which is the third biggest value? (a) -0.5 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovk when three letters picked without replacement from {o: 1, v: 1, k: 2, x: 1, t: 1, h: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 533 + 299. What is the highest common divisor of 325 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*y + 9*y = 45, -3*m = -2*y - 27. Suppose 5*x = 2*x + m. Let l(u) = 2*u**3 - 4*u**2 + u - 2. What are the prime factors of l(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 7:11 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 666 - 203. Suppose 144*c = 198*c - 12434 - 12622. Which is greater: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394909043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 140\/49) + -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/59 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.042832 and 0.1257723617.\nAnswer: 0.1686043617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(3)*-4 + sqrt(180)\/(sqrt(3)*-1))\/(((5*-2*sqrt(12) - sqrt(12)) + sqrt(12))*-6).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -2, 13, 8, 2, -4, 6 in ascending order.\nAnswer: -21, -4, -2, 2, 6, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + 52. Let w = r + -69. Let z be (-1)\/(-2) + 2\/(-8). Which is greater: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18 and -357.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 370*u**3 + u**2. Is f(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337024?\nAnswer: 2, 13, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/30*1260\/990\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883 (base 10) to base 3.\nAnswer: 1012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2735686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*v + 31*v - 99*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -154846902 divided by -7373662?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 91147*j + 3919343. Give p(-43).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 305.072 - 303. Let f = 0.072 - q. Which is the nearest to -2? (a) 0.5 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 12 - 2*j)*(-70*j**3 + 70*j**3 - 170*j**4).\nAnswer: 340*j**5 + 1020*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, -138, -1\/7, 0 in descending order.\nAnswer: 0, -1\/14, -1\/7, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28863 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (41 + -1)*4\/10. Suppose 0 = -4*s + 256 + 192. What is the greatest common divisor of b and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = 5*w - 600. Suppose -2360 = -w*k + 20*k. What are the prime factors of k?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773274961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n + 0*n - 2 - 2*n + 1.\nAnswer: 27*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:27 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 107116177 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1002041.32 to the nearest 10000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6249 - -11796. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 41*h**2 + 73*h + 546. Calculate v(43).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4271752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 3*h - 4, 13*d = 18*d + 5*h - 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 923 and 117?\nAnswer: 8307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 6. Let g = 1990.3 - 1990. Which is the nearest to 2? (a) -6 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)\/d)**(3\/17))**(-8\/11) assuming d is positive.\nAnswer: d**(72\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2584571 and 1639.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -960 equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + 0 + (sqrt(1125)*-2)\/(sqrt(81)\/sqrt(36) - sqrt(9)))*4.\nAnswer: -160*sqrt(5) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 11 + 9 = 2*b - 0*b + 8*l + 2*l, -b - 2*l = 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4821541 and 124.\nAnswer: 597871084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 31*u**2 + 0*u + 28*u**2 - u**4 + 3*u to a*u**4 + p*u**3 + b + s*u**2 + h*u and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-390)\/(-20))*(-8)\/(-11600)*(-150)\/20.\nAnswer: 1\/290","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1278, 1814, 2350?\n\"Answer: 536*v + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33812 * -7.41.\nAnswer: 250546.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 14\/16) + 45\/24. Suppose -4*f - 3449 = -4*j - f, i*j + 4*f = 1730. Is 42 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*((-7)\/2 + 1). Suppose -4*d + 2*i + c = 0, d = 3*i + i - 8. Let l(q) = -q - q + d*q. Let y(h) = h**2. Give l(y(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-10) - 6\/30. Let w be 0 - 1 - (-13 + z). Solve 11 = -5*b - w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-40)*-15)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13617, -27246, -40877, -54510, -68145, -81782?\nAnswer: -95421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4235))\/(sqrt(5) - sqrt(20)\/(2*sqrt(4))))**2.\nAnswer: 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 909094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17, 1\/9, -0.3, 0.03?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3826, 7852, 11878, 15904, 19930, 23956?\n\"Answer: 4026*x - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 0.1 (c) -12 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfge when four letters picked without replacement from {n: 6, f: 2, w: 1, e: 3, g: 1, m: 2}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 412025892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -493 divided by -5374?\nAnswer: 493\/5374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 34. Let g be ((-196)\/10)\/(24\/(-70)). Let u = 57 - g. What is the third smallest value in u, -3\/11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.4 (b) 2\/7 (c) 3\/8 (d) -1\/2 (e) -0.2 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.45 in 10, -0.16, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38768473 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-3115)\/6125 + (-6)\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4803 times -25.5?\nAnswer: 122476.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*b, 2*b = 3*k - 0*b. Let o(m) = 4*m**2 - 2*m - 2. Let j be o(-1). Let l be j + 4\/4*1. Put l, -5, k in increasing order.\nAnswer: -5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139\/3, 1\/6, -0.2 in decreasing order.\nAnswer: 1\/6, -0.2, -139\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-149 + 33 - 43)*(s + 1 - 1 + (0 + 4 - 2)*(-3*s - 3*s + 5*s)) to the form q*s + u and give q.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 15 = -5*m, -5*m = -3*b - 15. Suppose -j - 1 = u - 5, b = 2*u - 2. Let p(q) = 19*q + 4. Calculate the remainder when p(j) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 2*a + 5*a**2 + 0*a + a**3 to b*a + l + k*a**2 + m*a**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffy when three letters picked without replacement from {y: 1, f: 2, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 60*q - 2. Suppose -4*c + 4*a - 6*a = -218, -c + 4*a = -50. Let h(i) = -54*i - 8*i**2 + c*i + 9*i**2. What is m(h(l))?\nAnswer: 60*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -14*w. Let k(h) be the first derivative of -2*h + w*h**2 + 6 + 0*h**3 - 1\/4*h**4. Calculate k(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(117)*2 - (sqrt(117) + 5*(sqrt(117) - (-1 + sqrt(117))) - sqrt(117)))**2 + 3 + (((2*sqrt(130))\/sqrt(10) + 1*sqrt(832))*-1)**2.\nAnswer: -84*sqrt(13) + 1820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000195 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 1 = 3*v + 4*r, -v = 5*r + 15. Suppose -6*u + u = 3*p + 15, v = -p. Determine h so that 0 + 2\/5*h**2 + u*h = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 0, -4*v - 3*m = -7*m. Let o(h) = -2*h**2 - h**3 + v*h + 4*h + 5*h - 2*h + 6. Calculate o(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - f**2 + 1. Let s(q) = 5*q**3 - 7*q**2 - 29*q + 5. Calculate -6*n(x) + s(x).\nAnswer: -x**3 - x**2 - 29*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 y when three letters picked without replacement from {j: 2, f: 2, h: 5, y: 1, w: 6}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/9317904 and -107\/612408?\nAnswer: 736114416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 31*h - 30*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (3 - 4)*((-4)\/(32\/328) + -3) and 2932?\nAnswer: 32252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.561472 millilitres?\nAnswer: 0.005561472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 + 5 = 5*i, 4*i - 8 = 4*g. Let r = 89764\/6167 - -14\/881. Let w = r + -320\/21. Sort 9, w, 4, i in decreasing order.\nAnswer: 9, 4, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g = -6*g. Let c(v) be the third derivative of 0*v**5 - 6*v**2 + 0*v**3 + 0 - 1\/30*v**6 + 1\/4*v**4 + g*v. Find the second derivative of c(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636735917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-1*(-32)\/(-48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, 213, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 3. Suppose -2*g + 7*n = 3*n + 4, m*g - n - 4 = 0. Find the third derivative of -5*f**2 + 4*f**3 - 3*f**3 + 2*f**g + 2*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5264153.\nAnswer: 71, 74143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:02 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021101 - -110222212?\nAnswer: 112021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 767414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 32. Let t(l) = -l**3 - 3*l**2 + 15*l + 8. Calculate the remainder when t(-6) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31425, -62988, -94551, -126114?\nAnswer: -157677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:41 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3257 + 26089\/8. Let w = -8731\/6 - -1435. Find the common denominator of w and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859763458 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 36 = -4. Suppose j - 3*l = -0*j + 147, 4*l - t = 0. Suppose j + 231 = 3*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612172 is divided by 794?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, s: 1, n: 1, g: 2}. What is prob of sequence gspn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b**5 + 12*b**4 + 40*b**3 - 32*b - 12 = 0. Calculate b.\nAnswer: -1, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 64. Determine l(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) - (-1821)\/(-15). Let g = d + 127. Solve -5*q - g = -7*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 146364.42 months in millennia?\nAnswer: 12.197035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:27 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 <= -396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 651*o. Let z(g) = g**2. Give h(z(v)).\nAnswer: 651*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 9*c - 13. Calculate the remainder when t(-9) is divided by (-3 + 12\/8)*-12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6981.\nAnswer: 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 275.768 - 276. Let j = -0.252 - y. Put j, -0.2, 1\/6 in descending order.\nAnswer: 1\/6, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - f**3 - 3*f**3 + 3*f**3 + 0*f**3 - 58*f.\nAnswer: -2*f**3 - 58*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + j - 9550. Let g be o(0). Suppose 0 = -3*h - 4*c + 14, -5*h = c - 0*c - 46. Is ((-14)\/h)\/(10\/g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + (1*sqrt(2448))**2 + (sqrt(170) - (sqrt(170) - sqrt(170)*3))\/sqrt(10).\nAnswer: 3*sqrt(17) + 2454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/1 - (-5 - -1). Let y(b) = 3*b**3 - 9*b**2 - 15*b + 2. Let k be y(d). Suppose -3470 = -4*u + k. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(1144\/374))\/((-1)\/3).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -134\/3*r - 68\/3 + 2\/3*r**3 - 64\/3*r**2.\nAnswer: 2*(r - 34)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 5 = -5*u. Suppose u*b - 48 = -b. Suppose 3*a + 5*v + 35 = 0, -2*a + 6 = -5*v - b. Let f(o) = o**3 + 6*o**2 + 2*o - 7. What is f(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.09, -3, 4, 2\/15, -0.1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = 152498 + 462688. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63216\/61 at least as big as 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/26 - 7320\/(-260). Suppose -5*m - 5*c + 1416 - 411 = 0, -422 = -2*m + 3*c. Let r = m + -135. Calculate the highest common factor of r and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -0.04983378?\nAnswer: -0.54817158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-760 - 35*c**3 + 760 + (-c + 5 - 5)*(1 - 2*c**2 - 1) - c**2 + c**3 + c**2 + c**3 + 2 - 2)*(-4 + 4 + 2)*(7*c + 6*c**2 - 7*c) + 0*c**5 + 2*c**5 + 0*c**5.\nAnswer: -370*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6770527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4, -t = -0*t + 3*f - 59. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 40. Suppose -4*t = 3*w + 4, 4*t + 5*w + g = -t. What is the second derivative of 7*f**t - 4 - 2*f + 2 + 2 wrt f?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 5*g = 5*o + 3, 3*o + 2*g + 30 = 0. Let x = 13 + o. Let w(a) = a**2 - 3*a**3 - 3 + 5*a**3 + 2. Calculate w(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2957 is divided by 270.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 5 + 0 + (38 - 43)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -6\/13 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4265*j. Let t(o) = o**2 - 275*o. Determine k(t(b)).\nAnswer: 4265*b**2 - 1172875*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 91 - 259. Suppose 48515*i - 240 = 48507*i. Calculate the remainder when d is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/6 + 17*q**3\/2 - 143*q**2\/6 - 17*q\/2 + 24 = 0.\nAnswer: -1, 1, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 627, 205, -3 in descending order.\nAnswer: 627, 205, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1434, 1136, -882, -4626, -10102, -17316?\nAnswer: -26274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2. Let s(u) = 6975*u**2. Calculate s(o(b)).\nAnswer: 27900*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6 = 2*z, 2*q + 3*z - 10 = -0*q. Let a(i) = 5*i**3 - i - 2. Let s be a(q). Suppose 2*r - 5*r = -s. Solve -3*o - o = -r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + 0.64332323?\nAnswer: -1.55667677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-10)\/(-140))\/(2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 36*g - 44. Let q be c(-5). Let v = q - -227. Determine d, given that -9\/4*d**2 - 3\/2*d**4 - v*d + 27\/4*d**3 + 0 = 0.\nAnswer: -1\/2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2. Let w(d) be the third derivative of -83*d**5\/30 - d**3\/3 + 23*d**2 - 28. Determine k(w(v)).\nAnswer: -55112*v**4 - 1328*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1, 0.45, -0.2.\nAnswer: -3, -1, -0.2, 0.45, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3, 0.1, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -6.52219.\nAnswer: -4.52219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10 = 74. Let u = 56 + w. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.1, 93, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 0*r + 17*r + 2*r - 15*r - r. Let i(n) = n. What is -3*g(x) + 8*i(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 5472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a millennium in decades?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*x**3 - 9*x**2 + 6072*x?\nAnswer: 588*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 371542702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -276 + 1583958\nAnswer: 1583682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*f - 11 + 11)*(3*f**2 + 2 - 2) to j + a*f**3 + k*f + w*f**2 and give a.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.824209ng to micrograms.\nAnswer: 0.002824209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -2*z**3\/3 + 92. Let a(j) = 2*j**2 + 14*j. What is a(v(r))?\nAnswer: 8*r**4 - 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 23. Let h be q(23). Is 7 a factor of 0 - h - -9*21\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 8*d = 3. Solve -r - 9 - 10 = -d*b, 2*b - 2*r - 18 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145178*d**2 - 1775411*d.\nAnswer: -290356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(18) - (sqrt(18) + 1*sqrt(18) + sqrt(18))))\/(sqrt(54) - sqrt(1350)))**2 + 5.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -444269 divided by -4.\nAnswer: 444269\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2452 minus 10722?\nAnswer: -10722.2452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbppbpbppppp. Give prob of picking 1 b and 2 p.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -0*j + j - 9674 + 9610, -3*s - j + 91 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 6*z - 20. Let s be (z - 3) + -1*1. Solve 5*b - 15 = -s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + c = -5*w - 19, -4*c = 5*w + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8879471 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/77, -1\/3, 1\/87 in descending order.\nAnswer: 1\/87, -3\/77, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2822971737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 522300?\nAnswer: -522245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k**2 + 14*k - 30. What is the hundreds digit of n(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21308191.\nAnswer: 17, 31, 40433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -338, 47, 0, -11, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1298373, -1298371, -1298369, -1298367?\n\"Answer: 2*f - 1298375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760977450.\nAnswer: 2, 5, 7, 11, 149, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*u + 65, -5*u - 54 = 5*a - 154. Let j(s) be the second derivative of -s**2 + 0 + u*s + 7\/6*s**3 - 1\/12*s**4. Give j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17461 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -142300 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -6\/7 (c) -3\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 6. Suppose -c - 12 = -x*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 23 - 21, -12*c + d - 103 = -7*c for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7458122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 + w. Let b(d) = -25*d**2 + 2*d - 42. Calculate b(r) + 4*o(r).\nAnswer: -r**2 + 6*r - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + 35. Suppose -5*f + 8 + 7 = 0, 5*f + v = 2*q. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8440, 8483, 8526, 8569?\nAnswer: 8612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/45 - 16\/45. Let g = -577\/7 + 83. Is y at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 800265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 3*i - 4. Let u be j(4). Let h be u*1\/2*-1. Solve -5*r + 3*g + 7 = 0, 2*r - 3 = -h*r + g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*6*(sqrt(1584) + -1))**2.\nAnswer: -23760*sqrt(11) + 1426689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4450 and -27\/185.\nAnswer: 164650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42320 (base 5) to base 12\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 40 = 2*h, 5*h = 4*p - 0*p - 44. Is (-6)\/(-4) + -2 + (-1686)\/h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 5:08 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -396.9557279 rounded to 2 decimal places?\nAnswer: -396.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + 8.97. Which is bigger: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 327 + -323. Let t be ((-5 - 3) + 0)*(-61)\/4. Let f be (-12)\/4 - t\/(-18). Is f < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 2\/19 (b) -0.4 (c) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 - 5\/(-2). Suppose f*p = 4*y - 149 - 68, 15 = 3*p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 34?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 190 = 52. Let b = j + -21. Let u be b\/8 - (4 + (-355)\/20). Solve -3*i = -d + i + 23, -3*d + i + u = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(9736\/1948 + -5). Suppose 4*h - k = -5*o, 0 = -o - 5. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174d3 (base 15) in base 11?\nAnswer: 51679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = q - 9, 15*q + p = 14*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2417 = -55*s + 718. What is the lowest common multiple of 36 and s?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172782263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -0.38. What is the closest to t in -0.2, 2\/3, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 6:06 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 122267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4558651 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**3)\/y)\/y)**(2\/33))**14\/((y**(2\/9))**(-26)\/(y\/(y**(-2\/5)\/y)*y**(-1\/8))) assuming y is positive.\nAnswer: y**(18449\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2650000*t. Let j be n(-6). Round j to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 341622?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x*x**(-1\/9))\/x)**(2\/51)\/(x**6\/(x**(-4\/7)\/x)))**43 assuming x is positive.\nAnswer: x**(-60931\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 10\/9*d**3 - 4\/3*d**2 + 2\/9*d**4 + 0 + 0*d = 0?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 9.459 (c) -8\/19 (d) -2\/11 (e) -3\/103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 26*p**2 - 12*p + 45. Let w be d(25). Let c = w + -226. Suppose -c = -6*n - 0. Solve 2*m = -r + 12, -n = -4*r - 2*m - 0*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 + 120\/(-12))*3. Let h = -0.2 + -0.3. What is the closest to 0.2 in 3, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4193*b. Let h(r) = -31*r**2. Calculate h(q(t)).\nAnswer: -545018719*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/3, -1, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 296 - 295.8. What is the nearest to n in -0.1, -5\/3, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/1794 and -5\/1716?\nAnswer: 39468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 28*l - 12. Determine p(3).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - v + 4*v + 1 = 0, u + 5 = v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4 - 346\/(-87)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 2. Let y be c(4). Suppose -2*b - 138 = -2*k, y*b - 39 - 87 = -2*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2312 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1)**(-1\/16)*(h**(2\/3)\/h)\/h**5 assuming h is positive.\nAnswer: h**(-131\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18730*x**4 - x**2 - 6*x + 184546 wrt x?\nAnswer: 74920*x**3 - 2*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/448 and -25\/7.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**17\/t*t))**(-1\/8))**(-31))**47 assuming t is positive.\nAnswer: t**(-2914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4*w - t**2*w - 565*t**2 + 10059*w with respect to t.\nAnswer: 8*t**3*w - 2*t*w - 1130*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 37*x - 4332. Give f(-41).\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((3 - 2) + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12*0.034\nAnswer: 0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -391416946*q - 352921751 wrt q?\nAnswer: -391416946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4 - 2. Suppose -y*x + 3 + 7 = 0. Suppose -30 = -m - 3*a, -9 = -x*m - a + 71. What is the highest common factor of 105 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -2*k**3\/3 - 17. Let l(v) be the second derivative of v**4\/6 + 42*v**2 - 772*v - 2. Determine l(w(h)).\nAnswer: 8*h**4 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1020.9.\nAnswer: -510.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 51, 153, 347, 663, 1131, 1781, 2643?\n\"Answer: 5*x**3 + x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -42, 2\/5, 4.6, 89, 3.\nAnswer: -42, -3, 2\/5, 3, 4.6, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000349407 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 34875449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91\/3 + -31. Let k = 84.27 - 84.57. Let g = 17 - 35\/2. Which is the second smallest value? (a) -1\/3 (b) z (c) g (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*c**2 - 6*c - 73*c**2 - 56*c**2.\nAnswer: -8*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(16 + (((-143)\/104)\/(-1) - 17))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 13 + 27 = 0. Let d = 5 + -1. Suppose 9 = b - 2*l + d*l, 18 = n*b + l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.41784l to millilitres.\nAnswer: 10417.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 133415 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 g when four letters picked without replacement from iihcciiggiigiig.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 2 (c) -0.2 (d) 571 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -54*f**2. Let n(w) = -2*w**2. Determine m(n(c)).\nAnswer: -216*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - x = 8, 0 = 2*a + x - 2*x + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 88519 (base 11) to base 6\nAnswer: 2430241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 1\/4, 0.372?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + 3*w)*(3 - 3*w**3 - 3) + 1054*w - w**2 + 7*w**4 - 1054*w.\nAnswer: -2*w**4 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**3 + 89*u**2 - 13*u + 45. Calculate the remainder when (-2)\/(1 + 1) + 80 is divided by j(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596959 is divided by 842?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 73*g**2 + 0*g**3 + 3 - 5*g**3 + 46*g**2 + 7*g**3 + 3*g**4 to m + o*g + d*g**2 + w*g**3 + u*g**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:14 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 + 255. Let u(w) = -w**2 + 3*w - 1. Let r be u(2). Which is the nearest to p? (a) r (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 113\/3. Let n = -0.22534 - 0.07466. Which is the biggest value? (a) -2\/7 (b) 0.3 (c) m (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23602133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + j. Let l(i) = 22*i**2 + 3*i. Let v(f) = 1474*f + 11793. Let k be v(-8). Give k*l(p) - 4*x(p).\nAnswer: 26*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997709695?\nAnswer: 5, 199541939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9970 divided by 997?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62422 is divided by 15466.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (378\/189)\/((-3)\/(-18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by -78744\nAnswer: 77\/78744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j - 284*j**2 + 283*j**2 - j + (-14 - 12 - 6)*(j**2 - j**2 - 3*j**2) in the form x*j + l*j**2 + u and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/23 (c) 24\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**24)**(-1\/26)*v\/(v\/(v*v**(-36)))*(((v\/(v*v\/(((v\/(v*v\/v**6*v))\/v*v)\/v)))\/v)\/v)\/v)**(-3\/32) assuming v is positive.\nAnswer: v**(45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1154 - 2*k**3 - 2420 + 1188 - k**2 in the form s + v*k + h*k**2 + r*k**3 and give s.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 5*q - 2*q)*(-1090*q**4 + 304*q**4 + 10*q**4 + q).\nAnswer: 776*q**5 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 7\/(7\/2). Let y be 8*l*4\/32. Find the second derivative of -13*g + 4*g - 10*g**4 + 7*g**y wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1471 - 0?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*3*(-3 + 4*(sqrt(80) + (sqrt(80) - -1*sqrt(80))) - 6*2*sqrt(80)*2)**2.\nAnswer: -207524 - 5184*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 288 = -2*y + 4, -5*w = y - 143. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -2*f**5\/5 - 118*f**3\/3 - 721*f**2\/2 + 744. What is the second derivative of l(z) wrt z?\nAnswer: -24*z**2 - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 29*k**2 + 15*k - 14. Let y be v(14). Suppose 3*u - 4*w - 397 = y, 0 = -3*u + u + w + 268. Calculate the remainder when u is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-5))\/((-4)\/10). Suppose -5*k = -2*f - 29, -26 = 2*f - 4*k + 2. Let c be (-18)\/f + 2\/z. Solve -o + c*x - 3 = 0, -23 = 5*o - 5*x + 3*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/60 + n**4\/12 + n**3\/6 + 2*n**2. Calculate the remainder when w(6) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**23*x**28*x*x*(x\/x**(-8\/7))\/(x*x\/(x\/(x**(4\/21)\/x))) assuming x is positive.\nAnswer: x**(1154\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*t - 8 - 151*t - 126*t - 97*t + 386*t to a*t + l and give a.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*l - 42*f**2*l + 535*f + 4211*l + 30 with respect to f.\nAnswer: -6*f**2*l - 84*f*l + 535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 7, 4*s - 6 = 5*l + 37. Which is smaller: s or 57\/79?\nAnswer: 57\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03 or -2233270?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 63*-31\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 + 11*i**2 + 4*i - 53. Let b be c(-7). Let g = b + -1156. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/7 - 1371*x**3\/7 - 71208*x**2\/7 + 21710160*x\/7.\nAnswer: -3*x*(x - 95)*(x + 276)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2835154 and -2.425?\nAnswer: 2.7085154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.340882 years to millennia.\nAnswer: 0.008340882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 7*g**2 - 10*g + 3. Let w be u(-6). Suppose -w + 35 = -q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/4*-2 - (-3)\/(-3). Let x = o + 10. Which is the closest to x? (a) -4 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z - 2*z. Suppose z*a = -a. Suppose -2*g - 2*c - 3*c + 51015 = a, 2*c - 102006 = -4*g. What is g rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -223*(1\/7 - (-180)\/210). Let r = -6468\/29 - k. Let t be -2 + 1*4 - 2. Which is greater: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-97)\/(8148\/72))\/((2\/(-48))\/(28\/9))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 6*l - 1. Let y(d) = d - 5. Suppose 5*o - 7*x = -8*x, x = -3*o + 2. Let q be y(o). Determine k(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 11:55 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h - 8. Let z be x(-2). Let w = 50 - 13. Suppose q - 2*j - 18 = 0, j - 4 = -2*q + w. Solve 4*l + 23 = -3*t, z - q = l + 2*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.7529 millilitres in litres?\nAnswer: 0.4777529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i - 40*i - 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 5, h: 2}. What is prob of picking 1 z and 2 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) -0.5 (c) -0.0553 (d) -0.4 (e) 0.2 (f) -4 (g) 1.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 + 20. Let s be m(0). Suppose 13*x = 18*x + 1755. Let f = x + 359. Calculate the highest common divisor of s and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2298 - -34287217.\nAnswer: 34289515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + r - r + r)*(-14002*r**2 + 14002*r**2 + 39*r**4).\nAnswer: 39*r**5 - 39*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 3)*(-k + 4 - 4) - 2 + 2 - 2*k - 3*k - 3*k + 2*k)*(20*k - 12016 + 12023 + 13*k).\nAnswer: -231*k**2 - 49*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -84, -0.5, -22?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107578 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -73*s + 83*s. Suppose -5*h + 43 = 8. Let p = h - 2. Solve s*f = f - d - 2, -p*f - 3*d = 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254874*o**5 - 5775*o**2 - 331*o - 1 wrt o.\nAnswer: 15292440*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(2 + 34\/(-18)). Suppose -5*n - c + 108 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.045.\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrb. What is prob of picking 1 r and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5))\/i**(-7)*(i\/(i**(-1\/2)\/i*i))**(-1))**38 assuming i is positive.\nAnswer: i**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(27\/2))\/((102\/(-36))\/17)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800589 to the power of 1\/2, to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 3*i + 10, -3*n + 2*i = -1522 + 1514 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -415*s - 1657. Let p be m(-4). Solve p*n - 6 = 0, -2*y + 68*n - 66*n + 2 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2)*c**(4\/7)\/c*c*(c**(2\/3))**32)**27 assuming c is positive.\nAnswer: c**(3951\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*i**3\/4 + 50827*i**2\/2 + 14519*i + 2074.\nAnswer: (i + 2074)*(7*i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68221*a**3*j - 8*a**3 + a**2*j + 147*a - 2123*j + 1 wrt a?\nAnswer: 409326*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151719 divided by 3.\nAnswer: 50573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36891, -73752, -110563, -147318, -184011?\n\"Answer: w**3 + 19*w**2 - 36925*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/4*360\/(-675). Which is greater: -22\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9133273t in grams?\nAnswer: 913327.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z**2 - 4*z + 1 + 4*z)*(z - 4*z - z)*(7 + 4 - 3) as g + d*z**2 + x*z + k*z**3 and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 16) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(2\/7)*o**(-3)*o**(5\/3) assuming o is positive.\nAnswer: o**(-22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/20826 - 577919\/52065. What is the common denominator of g and -53\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.037 and 0.98 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 20*l**2 + l + 18. What is f(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + (5 - 55) - -23) + (1 - -7) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, l: 2, q: 5, p: 5}. What is prob of sequence kllk?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20438, -162486, -548026, -1298798, -2536542?\nAnswer: -4382998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168393 (base 16) in base 10?\nAnswer: 1475475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*d**5*t - 7825*b*d**5 + b*d**2 - 3916*b*d*t - d*t wrt d.\nAnswer: -120*b*d**2*t - 469500*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 168354845 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 540929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*t**2 - 4*t**3 + 92*t**2 - 53*t**2 + 15*t**5 + (-3*t**2 + 2*t**2 - 2*t**2)*(0*t**3 + t**3 - 2*t**3).\nAnswer: 18*t**5 - 4*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -102235, -102232, -102229, -102226, -102223, -102220?\n\"Answer: 3*i - 102238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 5) to base 14\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 6) to base 11\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7358462 is divided by 480?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8317 - -14706. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = 0, 5*l + 3*d - 284 = -0*d. Let o = l + -55. Suppose o*p + s + 28 = p, s = 0. Calculate the greatest common divisor of p and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 - i**2 - i - 1. Let g be s(-1). Let k(a) = 11*a**2 - 12*a**2 + 6 - 4 + 6*a. List the prime factors of k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5043 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/827584951?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 1 - -1*2. Suppose 2*y - 5 - 1 = 0. Suppose -o = -4*t + y*t + 2, -r*o = t - 2. Solve -3*b - 2*b + 4*u - 18 = 0, t*b = 2*u - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 1 + (-41 - -24 - -32)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**15\/b)\/(b*b**(-14))*((b**(-4)*b)\/b)**48)**(1\/12) assuming b is positive.\nAnswer: b**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/287 or 186871?\nAnswer: 6\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = 0. Let s = u - 0. Let f = -3.2 - -3. Is f <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 23*k**2 - k + 1. Let x(h) = -732*h**2 - 2*h + 3. What is -6*i(o) + 2*x(o)?\nAnswer: -1602*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + u = -5*o - 9, -2 = -5*o + 4*u. Does 10 divide (-2 + 8)*(-4)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 12*h - 27. What is the tens digit of ((-1)\/(-2))\/(h\/(-1242))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*k + 3*k - 10*k = 42, 3*k = 6*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106721530583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/7 - 114*l**2\/7 - 1342*l\/7 - 1230\/7 = 0. What is l?\nAnswer: -41, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 70 = 4*l - 114, -4*l - 3*d = -176. Solve -l*z + 32*z - 15 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 468\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2218 + 11086\/5. What is the second biggest value in w, 0.3, -9, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 12:28 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5026 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/36*4578\/784*-7?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2 - 256*o - 4096 = 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 315 + 208. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24668, 24666, 24664?\nAnswer: 24662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83389167946 take away -37?\nAnswer: 37.83389167946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Let p be 34*(-2)\/(-4) + 0. Suppose -4*f = w - p, -h*w + 4*f - 8 - 5 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6056 + -24213\/4. Sort 1, -0.1, -22, k in ascending order.\nAnswer: -22, -0.1, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiiilwgigili. Give prob of sequence xgii.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*228\/912.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 4*i - 764 = -11*j, j + 4*i - 244 = 0. Calculate the greatest common factor of 693 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*c = -7*c - 1463 - 8969 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3 = -3*k, 0 = -707*i + 704*i - 2*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 1. Let i be r(-3). Let w be i\/2*(-860)\/25. Suppose -3*f - 29 = -w. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238887354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + q**2 + q - 1. Let y be m(0). Let h = 2 - y. Suppose 0 = 3*n - d - 11, d = 2*n + h*d - 18. Solve -n*x + k + 1 = -0*k, -3*x = 4*k + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (391 + -368 - (18 + -1))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -659335472 divided by 4?\nAnswer: -164833868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23358302 is divided by 3893048?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 701131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -41*t + 10. Let v(j) = 41*j - 6. Give 3*h(m) + 4*v(m).\nAnswer: 41*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 84820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 50067814 + -658914\nAnswer: 49408900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -112*i + 2858 - 583. Solve -i*w + 60 = -10*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -6. Let i(k) = k**2 - 3. Let h be i(0). Let n(l) = -l**3 - 4*l**2 - l. Let u be n(h). Does u = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/12 - 2*v**2 - 14*v. Let z(r) be the first derivative of y(r). Let b(u) = 24*u. Give z(b(n)).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -253*t**3\/6 - 3*t**2\/2 - 892*t. Let l(j) = 4*j**2. Determine l(w(x)).\nAnswer: 256036*x**2 + 6072*x + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 16*k = -17*k - 143 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2226 - -11?\nAnswer: -2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1117855434 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-20)*12\/36*-15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 40. Let v be k(-20). Suppose -l + v = -3*c, -7*l + 2*l - c + 68 = 0. What is the remainder when 23 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*d - 104, 0 = 3*a - 3*d - 1509 + 1617. Suppose 0 = -c - 8 + 43. Let n = a + c. Solve -n*l = -2*o - 4, 4*l - 15 - 1 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - z**2 - 7*z + 8. Suppose -2*b = -6*b. Suppose 4*k - 5*x = 0, b*x - 16 = -4*x. What is the remainder when f(3) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 5.2. Let j = -1 + 1. Let g be 4\/6 - 1\/(-3). Which is the second biggest value? (a) l (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3*2601\/255\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by (3\/12)\/((-3)\/(-12)) + 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + 7419990 + 5 + 3*-1. Round n to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4, -1043, 7.\nAnswer: -1043, -15, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7469334 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3780*o + 848 = 3704*o + 11564. Solve 112 = o*y - 127*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 7*w**2 - w - 24. Is 6 a factor of x(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -50 - 3*a**5 - 3*a**2 - 7*a**3 - 1\/2*a**6 - 27\/4*a**4 + 0*a. Factor r(f).\nAnswer: -3*f*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 - 3*f**2 + 5*f + 3. Let n(s) = 14*s**3 - 12*s**2 + 20*s + 11. Let y(p) = 2*n(p) - 9*z(p). What is y(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-81 + 41)*(-10)\/16. Let a(n) = -4*n - 7 - n + n + 2*n. Let f be a(-6). Solve 3*c = -g + 2*c - 7, 0 = f*c + x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d24 (base 15) to base 5.\nAnswer: -302314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -395*f + 7 - 101*f - 182*f - 7 + (0 + 0 - f)*(8 + 2 + 9) to the form m + d*f and give d.\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 3*x - 4. Let b be o(-3). What is the second derivative of -7*q + b - q**2 + 2 - 7 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.014 - 524.2234564.\nAnswer: -524.2374564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 10:34 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + h**2. Let p be x(0). Suppose p = -r - 4, 0 = -k + 5*r + 32 + 18. Suppose -k = -2*y + 220. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:37 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 4, p: 4, j: 1}. Give prob of picking 1 t and 3 i.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 7:21 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/102 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -222, -606, -1154, -1866, -2742, -3782?\n\"Answer: -82*y**2 - 138*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66350.\nAnswer: 2, 5, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 18*b**3 + 7*b + 2*b**2 - 2*b.\nAnswer: -18*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-288)\/8)\/(-9)*-1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -26. What is the third smallest value in 3\/2, d, -8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27625 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 1, o: 2}. Give prob of picking 1 o and 2 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35233054 - -41?\nAnswer: -35233013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-15) + 16\/10. Sort -3, m, -4 in decreasing order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1751878304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2 = 2*r. Let u(v) = -25*v**3 - 35*v**2 - 4*v - 6. Let i(c) = c - 1. Let t(l) = r*u(l) - 6*i(l). Suppose t(n) = 0. Calculate n.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3182*o - 1590*o - 1592*o - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 703669955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 4, o: 2, f: 1, i: 3, l: 4}. What is prob of sequence fl?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270971?\nAnswer: 31, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + (-1 - 13 - (143 - 152))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, r: 3, t: 2, v: 3, q: 3}. Give prob of sequence tqs.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692 a factor of 54561456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(201 - 201 - 83*z**2) + z**2 - z**2 - 2*z**2 + (13 - 20 - 7)*(3*z**2 + 2*z**2 - 4*z**2).\nAnswer: 67*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.4 + 5.401. Round v to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 3*p**2 + p + 1. Give q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - c - 1143, -4*v + c + 4574 = -c. Calculate the greatest common factor of v and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(1872)) + ((sqrt(1872)*3 - sqrt(1872)) + 1 - sqrt(1872)) + sqrt(1872) - (-6*sqrt(78)*2)\/(-3*sqrt(486)))**2.\nAnswer: -5360*sqrt(13)\/9 + 3736873\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135971861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 311*q**2 - 100*q - 100. What is z(-1)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 16*x**2 + 15*x + 4. Let j be m(15). Suppose 6*a = j*a + 8. Suppose 0 = -a*y - 2364971 + 764971. What is y rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2*v - 29911 = -29831, 35*w + 3*v = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -289769 - -289771.99998. Let m = -3 + u. Round m to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25167*a - 17*a**2 - 25167*a + 1 in the form l*a**2 + u*a + x and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -23*p - 5. Let o(v) = -288*v - 63. What is -63*c(n) + 5*o(n)?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27258145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14508 = -53*r + 14*r. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -488 + 488. Solve m*t = -10*t - 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 140, 485, 1156, 2261, 3908, 6205?\nAnswer: 9260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*k**5\/9 + 1288*k**4\/9 + 4294*k**3\/9 + 980*k**2\/3 + 64*k = 0 for k.\nAnswer: -2, -3\/7, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(392)*4 - sqrt(8)).\nAnswer: sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -373 (b) -5 (c) -4.4 (d) -0.15 (e) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211346*i**3 + 4*i**2 - 1408*i - 7027.\nAnswer: -1268076*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 < -352141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 163*a**2 + 10*a - 95. Is t(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.7 + -10. Let l = -18638 - -18640. Sort l, i, 8.\nAnswer: i, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -69*q. Let x(l) = -552*l. Give 33*r(z) - 4*x(z).\nAnswer: -69*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 6 = 0, 0 = 5*v - w - 3*w - 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -17. Suppose c - o = -3*q, 4*c - 2*c = 4*q - 32. Suppose -13*j - 107 = -120*j. Calculate the greatest common divisor of q and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 490. List the prime factors of d.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641453*c**3 - 320719*c**3 - 320729*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 6:06 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.12 and 43.\nAnswer: 42.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67524.97 millilitres in litres?\nAnswer: 67.52497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 115, 274, 507, 820, 1219, 1710, 2299?\n\"Answer: l**3 + 28*l**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 38 - 21 + 19)*(-15*o**4 - 75*o**3 + 75*o**3) to the form m*o**2 + p*o + k*o**3 + l + h*o**4 and give h.\nAnswer: -705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -12 - 12. What is the third derivative of 4 - 4 + 3*x**s + x**2 wrt x?\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -849 - -852. Let z be (-1 + -9)*2\/(-5). Suppose 7*x - o = z. Solve -k + x + 3 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 736037 + -20?\nAnswer: 736017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5101*b**3 - 3*b**2 - 6*b - 2. Let m be t(-1). Round m to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287750?\nAnswer: 2, 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*t - 2 + 1 + 63*t + 2*t**3 to p*t**3 + u*t**2 + f + o*t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3373 + -1519. What is o rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l = -510 + 78. Calculate the highest common divisor of l and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 20*s**2 - 17*s - 25. Let f = 238 - 219. Calculate the remainder when w(f) is divided by 4\/14 + 54\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let f be 58 + (-2)\/(1 + b). Suppose 4*h - 3 = f. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n + n**3 + 1\/24*n**4 + 0 - 5*n**2. Suppose 5*f - k + 25 = 2*k, 0 = 5*f - k + 25. Give o(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1092, -1102, -1124, -1164, -1228, -1322, -1452?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 80382 = 2*w, 2*w - 80358 = -15*i + 16*i. What is the ten thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 15. Let j be o(0). Let a = 6 - 7. Let y be 2*(-10)\/4*a. What is the highest common factor of j and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 10. Let h(s) = 7*s - 20. Let i(f) = -h(f) + 2*l(f). Let z(n) = 13*n. What is i(z(y))?\nAnswer: -117*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -100001000000101010010100 (base 2) to base 15\nAnswer: -b5dec5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.06654 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 10 - 6. Let t be 4\/14*(-1 + x). Let p be (-2 + (-115)\/(-70))\/((10\/(-28))\/(158\/553)). Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 - (-18 + 3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 348.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.5113 + 0.4437. Let m = 16 - y. What is m rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2610383, 2610381, 2610379, 2610377, 2610375?\n\"Answer: -2*n + 2610385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17749 - 17749. Let x(h) be the third derivative of -19\/60*h**5 + j + 0*h + 0*h**4 - 26*h**2 - h**3. Differentiate x(v) with respect to v.\nAnswer: -38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290850 divided by 50.\nAnswer: 5817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51b3b5 + 5?\nAnswer: 51b3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 8*z**2 + z. Let q be x(-5). Calculate the greatest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 2a?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1215)*5)\/(sqrt(5) + 2*(sqrt(5) + sqrt(45))).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-154)\/(-42) - (-6 + 60\/9). Solve n + 5*i + 1 = -24, -2*i = f*n + 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztllkdpkz. Give prob of sequence lkt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**3\/6 + 2*g**2 - 9*g - 10. Let j(w) = -3. Calculate 6*j(y) + 5*r(y).\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2130 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - 59) + 3 + -3 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-4 + 1 - -4)) + 68 + -64\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19295 (base 15) in base 5?\nAnswer: -10102330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, -2\/21, 0.3, -2, -0.1 in descending order.\nAnswer: 0.3, -2\/21, -0.1, -1.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158300 and 6400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (94 + 1 - 36).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 1354*f - 450647. Calculate p(585).\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from dccyyyk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*y - 21*y**2 + 23*y**2 + 7 - 12 - 38 + 26*y in the form s + b*y + u*y**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 15. Suppose 58 = d*w - 6. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -150, -503, -1184, -2301, -3962?\n\"Answer: -18*g**3 - 2*g**2 - g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13929000 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = 179496*d - 179515*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2 and (-87)\/290*(-2 - 634\/(-312))?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2 - 24*w + 92. Calculate m(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n + 969 = i, -2*i = 4*n - 974. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2454 + 0.1546. Put -0.1, -46, r, -3\/7 in descending order.\nAnswer: r, -0.1, -3\/7, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0307747 to 4 decimal places.\nAnswer: 0.0308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 500 - 540.6. Let m = v + 40.6. Let r = 0.05 + -4.05. What is the closest to m in r, -2\/7, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024923 to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 232*j**2 - 2. Let w(k) = k. Give q(w(r)).\nAnswer: 232*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*i, 3*u - 5*i + 0*i - 5693 = 0. Calculate the remainder when u is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92515286*a**3*f**2 + 2*a**3 + 54*a**2*f + 4*a*f + 94*f - 1 wrt f.\nAnswer: 185030572*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, -0.9, 5, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, b: 2, d: 5}. What is prob of sequence jjj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 5*s - s - s**2)*(2 + 0 - 1)*(-5*s + 3*s + 3*s).\nAnswer: -s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62562146 to the power of 1\/2, to the nearest integer?\nAnswer: 7910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 - 86 - (13 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 32902*c. Let f(x) = x. Determine r(f(q)).\nAnswer: 2*q**2 + 32902*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29886*679.\nAnswer: -20292594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 307817\/57 or 5400?\nAnswer: 5400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0 (c) 2 (d) -0.3 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 164*k**2 - 340*k + 172.\nAnswer: 4*(k - 1)**2*(k + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 204525773*l**2 + 142088529 wrt l.\nAnswer: 409051546*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15020720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -63. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3830573 divided by -18?\nAnswer: 3830573\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29148.48s in hours?\nAnswer: 8.0968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.1. Let d be -1 + (-21)\/9 - -4. What is the nearest to d in 0, -2\/19, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/7 (b) 2\/3 (c) 107\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7096793 is divided by 418?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12425214 divided by 4141738\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:56 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfa when three letters picked without replacement from {m: 2, b: 1, f: 9, a: 4}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 31. Suppose -5 = 3*g - 11. Suppose 0*d - g*d + 20 = 0. What is the highest common divisor of c and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + 4 - (sqrt(17) + 1)*1)*4 - (sqrt(1700) + 1 - (sqrt(612) + -2)**2).\nAnswer: -34*sqrt(17) + 627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3329 - (9 + -3)) + (1 - -1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -105. Suppose 0 = -4*m + j + 1103. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a factor of 3653249952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 12852 = 3798. Suppose -5*i - 2*q + 3302 = 0, -q - 4*q = -5*i + n. Suppose i + 488 = 5*l. List the prime factors of l.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/4 + 39*d**2\/2 + 507*d + 4394 = 0. What is d?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4192537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*k - 2*w, 5*k + w = -0*w + 30. Suppose -5*x + 4 = -3*o, -2*o + k = 3*x - 4. What is the common denominator of o\/2 - (-255)\/6 and -48\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -322, -392, -462?\n\"Answer: -70*z - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 3*x**2 + 2*x - 4. Let l be f(-3). Let m = -63 - -49. Let a = l - m. What is the smallest common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 0.5, -3\/29, -1, -19 in increasing order.\nAnswer: -19, -1, -3\/29, 0.5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -b29412?\nAnswer: -b29414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 986 - 7859\/8. What is the common denominator of 68\/3 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j. Suppose 2*q + 5*r - 13 = 0, 0 = -0*q + q + 3*r - 6. Let d = -5 + q. Calculate l(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000203493 rounded to 6 dps?\nAnswer: -0.000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 1099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123 - -3) + (16 + -16 + 7 - 10 - -1)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29)\/((-145)\/3850) - -5. What is the greatest common factor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32575112833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 64*m**2 + 4*m + 3. Calculate b(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 3)*(-2 + 2 + 1)*(h - 6*h + 4*h) in the form f*h + m and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0089705 to four decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62757.04 millennia?\nAnswer: 753084480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7751386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 113, 110, 105?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -64 - 698?\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/63 + (-1 - (-271)\/7). Suppose q = c + 13. Solve -c = -2*i + 6*o - 3*o, -3*i + 25 = -2*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**5 - 72*b**4 - 132*b**3 - 64*b**2.\nAnswer: -4*b**2*(b + 1)**2*(b + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-4) + 2178\/264\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-1\/5)*v))\/v**(-3)*v**(2\/9)*((v\/(v\/((v*v**(-1\/5)\/v)\/v*v)))\/v)\/v assuming v is positive.\nAnswer: v**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2 - 268*t - 8320 = 0 for t.\nAnswer: -26, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -472502*z - 3780024. Give u(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1187247\nAnswer: 5\/1187247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-7)*y)*y**(-26\/9)\/y*y)**20 assuming y is positive.\nAnswer: y**(740\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.234513kg to grams.\nAnswer: 7234.513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:18 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (44 + -65 - (1 - 11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.02, -2\/9, 601914?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, f: 3}. Give prob of sequence affa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 262853.867 + 2.2\nAnswer: 262856.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 30552 = 5*l - 30511, -2*w = -7*l - 25 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 9 = 17, k - 151 = -3*o. Solve k*z + 91 = 126*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11432041 (base 5) in base 9?\nAnswer: -174620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82 + -24 - 23) + 15?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(r**2 - 37*r + 37*r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 186367909 to the power of 1\/3, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 43*z - 44*z. Suppose 0 = 21*i + 5*i + 5278. Let o = z - i. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*n**3 + 0 + 35*n**3 - 4 to j + p*n**2 + i*n + l*n**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2513009 + -2513064.00433. Let b = l - -55. Round b to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, o: 9}. What is prob of sequence mm?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2650122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/10 + (-61)\/(-2). Suppose -3*v = 6, 4*h - 2*h + c = 5*v. Calculate the common denominator of h\/(-12)*(-396)\/(-40) and 61\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -109d - -2?\nAnswer: -109b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23916 and 6372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10569, 12, 5, -66 in descending order.\nAnswer: 12, 5, -5, -66, -10569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -1057?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 19*m + 165 = 0. Suppose -m*s + 16 = -37*s. Sort 4, s, 1, 0 in ascending order.\nAnswer: s, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 13*g**2 + 13*g - 27. Let z be f(14). Let v = 45 + z. Suppose -v*o + 341 = -75. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76\/5 - -15. Let z be 1\/3*114\/95. Let j be (-3)\/(-2 + (-7)\/(-5)). Put z, j, b in ascending order.\nAnswer: b, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -211 + -9?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 11:25 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -15*s + 3. Suppose 2*n - 5*b = -16, -3*b + 20 = 2*n + b. Let m(y) = -y**2 - 13*y + 2. Let u(x) = n*p(x) - 3*m(x). Suppose u(o) = 0. Calculate o.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 295, 6 in descending order.\nAnswer: 295, 6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 - (-2 - 6) - 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 1197\/454?\nAnswer: 1197\/454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 - -160. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/3))**(-39)*l**(3\/5)*l**(3\/8) assuming l is positive.\nAnswer: l**(-2041\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/23864 and 121\/200.\nAnswer: 596600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/402 and 3\/2.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*1 + -5 + 0 + 1 + sqrt(700) + 4.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -1. Let s = 0.2 - 0.26. Let a = 0.34 - s. What is the third smallest value in v, -3, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 8*k + 6. Calculate the remainder when (6 - 6) + (-120)\/(-3) is divided by n(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.362 + -0.182. Let m = -23.18 - -23. Let p = m + x. What is the nearest to 2\/3 in -2, 3\/4, p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1102*a. Let s(k) = 84*k. Determine s(p(o)).\nAnswer: 92568*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150905837.\nAnswer: 150905837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12481164 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, i: 3, h: 4, z: 4, g: 4}. What is prob of picking 1 i and 3 h?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0922 from -0.0654.\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 less than 1732418164896?\nAnswer: 1732418164896.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 5:03 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s + 1683 = 4*u, 2*u = 2*s + 840. Let c = u - 71. What is the greatest common divisor of 32 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*z - 24 = 0, -5*z + z = -5*u + 34. Suppose a = -a - u, -4*i - 2*a + 74 = 0. Calculate the greatest common factor of i and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {a: 3, o: 1, z: 4, x: 2, h: 2, b: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20452*j**3 - 27191?\nAnswer: 61356*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 131360.38 + -71379062\nAnswer: -71247701.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/263, 5, 93, 3 in increasing order.\nAnswer: -1\/263, 3, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034976 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 333 + -333. Suppose 28*w - 3578 - 650 = l. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 6*v + 41*q = 37*q - 27, -5*q - 4 = 2*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8691.\nAnswer: 3, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36\/7, -0.96, -0.3 in increasing order.\nAnswer: -36\/7, -0.96, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 4)\/((-1)\/1). Suppose g*b - 19 + 4 = 0. Solve 0 = -b*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959244870?\nAnswer: 2, 3, 5, 31974829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 24 = -r, -5*r + 2*c + 4 = -6. Find the third derivative of a + 107*a**4 + a**2 - 66*a**r - a wrt a.\nAnswer: 984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111010 + -1001201202011?\nAnswer: -1001201021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 58*c - 120. Let t(z) be the first derivative of 6*z - 5\/3*z**3 + 12 + 13\/2*z**c. Factor t(y).\nAnswer: -(y - 3)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2806f4 (base 16) to base 7\nAnswer: 31203605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkkfkkfkfkkffkffk. Give prob of picking 1 k and 3 f.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 2*k**2 - 24*k + 50. Is t(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) -2\/13 (c) 1\/3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 40 - 12)*(2*j**3 - 3 + 3) + 3*j**3 - 3*j**3 + 2*j**3.\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 24.07 (c) -54 (d) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 2348*i - 2343*i + 45, 5*u = i + 38 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-99)\/(-22))\/(6\/4). Suppose -k*c = -11*c + 5736. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 32132?\nAnswer: -32031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**8\/28 + h**4\/12 + 7*h. Find the third derivative of g(t) wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*s - 5*v - 3, 0 = -2*s - v + 3. Let p = -2\/9 + s. Let t = 8 - 26\/3. Which is the second biggest value? (a) p (b) -2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7 = r, -3*r = -0*r - 12. Suppose g*i + 459 = 1338. What are the prime factors of i?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/3727296 and -127\/2911950?\nAnswer: 93182400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2 times -3212?\nAnswer: 32762.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 4*c**2 - 957*c.\nAnswer: c*(c - 29)*(c + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -424 (base 15) to base 8\nAnswer: -1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 24 + 9 + -22.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4\/9 + 2*f**3\/9 + 5*f**2\/3 + 4*f\/9 - 20\/9 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/10332829 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37990012?\nAnswer: 2, 9497503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 10. Let v be 10\/6*228\/95. Suppose v*n + 16 = q*o, -40 = -4*o - 4*n - 0*n. Solve -2 = -2*s + o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyuv when four letters picked without replacement from ttvuyuvutuvuy?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -19. What is the derivative of 4*g**3 - 7 + 3*g**3 - 6*g**x wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - -6 - (33 - 16 - 18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -1120?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 735274.7 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*o = -258 - 94 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1921*q + 3843*q - 1914*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 f when three letters picked without replacement from mmmmtfmftf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {e: 2, l: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102 + 11334141?\nAnswer: 11334243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -46*c**6\/3 - 116*c**2 - 140. What is the second derivative of z(g) wrt g?\nAnswer: -1840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -1*sqrt(17) + -3 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18379, -18401, -18453, -18547, -18695, -18909, -19201?\n\"Answer: -2*g**3 - 3*g**2 + g - 18375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12140, -52478, -119698, -213794, -334760, -482590?\n\"Answer: y**3 - 13447*y**2 - 4*y + 1310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**3 + r**2 + 4. Let c be i(-3). Let d be (-3)\/2*(-4)\/6. Suppose -c = -4*f + d. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/7 (b) -0.18874 (c) 0 (d) -1\/10 (e) -7 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.8156405 years?\nAnswer: 0.08156405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1414? (a) -227 (b) 2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i + 3*i**2 + i - 9 + 3*i - 11. Let t be z(5). Suppose 8*x - t = 3*x. Calculate the remainder when 61 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1. Let i(v) = 4*v - 5. Let x(d) = -2*d + 22. Let m be (-9 - -13) + (-1 - -3). Let n be x(m). Let h = n - 15. Give h*r(z) + i(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85219 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22749, -45502, -68255, -91008?\nAnswer: -113761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2149, 2616, 3393, 4480?\nAnswer: 5877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -108, 3\/4?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y - 13. Is m(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*(1 + 0). Let b be 7*z + -1 + -1. Suppose 10 = -b*r + 25. Solve -5*u + w = -7, 2*u + w = 10 - r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0131 + -62.2869. Let s = t + 57.24. What is s rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -25. Let j = -7.95 + k. What is j rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Let m = -0.12 - -1.12. Let x = -184 - -179. What is the nearest to m in -1, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 32 = 2*g - 4*l, 24 = 4*g + 2*l. Let a be (g\/6)\/(4*1\/6). Let z(q) = -9*q - 3. Let d(u) = 45*u + 16. What is a*d(v) + 11*z(v)?\nAnswer: -9*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-6) - (-8)\/(-24). Let x be n\/(5\/(-2) - -1). Solve -2 + 4 = x*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/113409 and -61\/2184.\nAnswer: 82561752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.125 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 5*k + 3. Let i be r(4). What is i rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 20.7\nAnswer: 42.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 112\/60*(-3)\/1*(-30)\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 104*u**2 - 9*u - 2479. Let q(g) = -52*g**2 + 4*g + 1234. Let f(a) = 13*q(a) + 6*t(a). Find the first derivative of f(n) wrt n.\nAnswer: -104*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v**3 - 2*v**2 + 8*v + 10. Let i(d) = 6*d**3 + d**2 - 8*d - 9. What is -4*i(o) - 3*k(o)?\nAnswer: -3*o**3 + 2*o**2 + 8*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 23, 57, 95, 131?\n\"Answer: -t**3 + 11*t**2 - 2*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 41337232 to the nearest one hundred thousand.\nAnswer: 41300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 12 + 3*p - 3*p. Let s be g(6). Solve -j = -5*y + 14, 0 = 3*j + 4*y - 7*y + s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 133. What is the remainder when h is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3600 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 262\/120*10\/(-5) and 115\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrjlllrjgjg. What is prob of sequence lr?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -257*w**4 + 2*w**2 - 155?\nAnswer: -6168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 2*z + 1. Let m be r(1). Suppose -3*g + 9 = 3*c, -2*g + c = -g + 3. Let y = g + -2. Is m < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3 + 3)*(2*j**3 - 3*j**3 - j**3) + (9*j**2 + 18*j**2 - 9*j**2)*(-2*j**2 - j + j) + 2*j**4 + j**4 - 2*j**4 + (3*j + 3*j - 5*j)*(2*j**3 - 3 + 3).\nAnswer: -29*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f + 12 + 4*f - 193 + 7*f - 8*f as l + q*f and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 82860.88 weeks?\nAnswer: 13920627.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496772044?\nAnswer: 2, 19, 1367, 14407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24039\/(-45)*(2 + -3 - 4). Let q = y - 1802. Calculate the greatest common divisor of 79 and q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29077*s + 61656*s - 32713*s.\nAnswer: -134*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 21760276 and 21760278 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**2 + 31. Determine x(-5).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 158 - 186 + 4*v + 6*v + v**3 + 18*v**2. What is the units digit of o(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10535 is divided by 10121.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13648 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/150*-5*2\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2 - 54*q + 1748 = 0.\nAnswer: -46, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -42216 divided by -3\nAnswer: 14072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000278094 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 63*p**3 - 6*p**3)*(0*p + 4*p**2 + 2*p - 5*p**2).\nAnswer: -57*p**5 + 114*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c + 6. Let n(m) = -m - 1. Let f(b) = 6*n(b) + v(b). Let r(p) = -8*p**2 - 43*p**2 + 8*p**2 - 3*p**2. Determine f(r(y)).\nAnswer: -92*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z - 3. Let t(h) = -6*h - 3. Suppose 4*p - 60 = 8*g, 6*g - 5*g - 3 = -3*p. Calculate p*b(i) - 4*t(i).\nAnswer: 9*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (3 + -4 + 10\/(-3)). Which is the biggest value? (a) g (b) 2\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 2, k: 12, y: 2}. Give prob of picking 2 p.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5*v + 10 = 0, 258 = -2*l - v + 257 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2*c - 31*c**3 + 9 - 23*c**3.\nAnswer: -54*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7110890025?\nAnswer: 3, 5, 1039, 91253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**5 + 0*u**5 + 2*u**5)*(0 + 3 - 1) + (2*u - u - 3*u)*(6*u**4 - 3*u**4 + 5*u**4).\nAnswer: -14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 8:19 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219058302 - 109529152 - 109529150 + 5*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-1 - -334601) + 30 + (-4 - 23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03625418 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + (-12 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.07 + -15. Let q = 1.07 - t. What is the closest to q in 2\/5, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-2\/47))*q*q**(2\/3))\/((q*(((q**4*q)\/q*q)\/q)\/q)\/q**(-8)) assuming q is positive.\nAnswer: q**(-1463\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 9 = 3*t, -3*l - 2*t - 2 = 2. What is the units digit of 15235\/22*l\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130284.\nAnswer: 2, 3, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/sqrt(7)*-2)\/((sqrt(144)\/sqrt(6))\/sqrt(6)) + (sqrt(231)\/(sqrt(7)*1))\/(sqrt(24)\/(-2*sqrt(8))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 22*f**2 - 38*f + 290. Give q(11).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -53.8. Let p = -2 - -1. Let i = z + p. Round i to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.04 (b) -2\/13 (c) -1\/2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - 2*sqrt(6))\/sqrt(3)*4)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 + 30*v - 8. Let w be q(13). Let l = -146 - w. What are the prime factors of l?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 74*i + 142*i + 56*i.\nAnswer: 263*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 16. Let h be x(-19). Suppose -h = -2*o + 9. What is the tens digit of ((-148)\/o)\/(18\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, 101, 439, 1121, 2261, 3973?\n\"Answer: 19*i**3 + i**2 - 28*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/3 (b) -51 (c) 0 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2693 is divided by 821.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 24*w - 19*w + d, 0 = -5*w - 5*d + 20. Let n = 5 + -3. Put w, n, 4 in descending order.\nAnswer: w, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 5*z + 9. Suppose 44*y = -91*y + 41*y + 1128. Determine n(y).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 + 0\/((-20)\/(-5)) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189942733?\nAnswer: 189942733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486843?\nAnswer: 3, 7, 97, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 + -96. Suppose 9*n - k*n = -36. Solve -p = n - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(60\/20))\/(15\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 32\/7*b**5 - 16\/7*b**4 + 0 - 78\/7*b**3 - 34\/7*b**2 - 4\/7*b = 0.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112 - -144) + -80 - -3.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*v = 8, -3*b + 2*v + 2*v = -25. Let l(r) = 3*r**2 - 5*r**3 + r + r + 1 + 4*r**b. Suppose 0 = -317*x + 321*x + 5*d - 1, -6 = 2*d. What is l(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, -0.5, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12)*(-452 - -472).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6*k + r - 11 = 0, 3*r - 9 = 0. Suppose 6 + 10 = k*j. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61 + 5*t**2 + 118*t**4 - 6*t**2 + t**2 - 82 wrt t.\nAnswer: 472*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - -2)*16\/20. Suppose -h = g*h - 1115. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 - -10011?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.2 (b) -7 (c) -3 (d) -0.39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9538*z - 3*i = 9539*z + 38 + 14, z = -13*i - 212 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 + 17 - -16) + 3 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(192) - sqrt(48) - sqrt(48)))\/((sqrt(96)*2)\/sqrt(8)))\/(2*(sqrt(2) + sqrt(72)) - sqrt(200)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17130957.8 rounded to the nearest 10000?\nAnswer: -17130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5*l + 13, 2*l + 14*b + 600 - 566 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 3*a + 8, 1 = 3*w - 209*a + 205*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/139252155 and 4\/8365.\nAnswer: 139252155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-294))\/((-192)\/(-672))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 407035 divided by 641\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 518 + 3611. What is the remainder when d is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12663 + -8574. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*f + 75 = -n, 2*n + 384 = 5*f. Calculate the highest common factor of f and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.066 * 3.23826.\nAnswer: -0.21372516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-153)\/(-24)*16\/(-60). Let w = 2\/129 - -383\/258. Let v = x + w. Is v less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9061040.\nAnswer: 2, 5, 191, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*j**5 - 19106*j**2 - 33*j - 891 wrt j.\nAnswer: -260*j**3 - 38212","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = -619 + 671. Suppose 2*t = n - 26, -2*n - 3*t + 47 = -12. Calculate the greatest common factor of q and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3169095 divided by 6?\nAnswer: -1056365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-80)*-4*90\/8*(-44768)\/4197.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30072 and 71967308?\nAnswer: 431803848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -278\/3 + 92. What is the fourth smallest value in -0.2, 5, h, 1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 5*h**4 - h**2)*(7 - 7 - 2*h) + 502*h**5 - 24961*h + 24961*h.\nAnswer: 512*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 19145796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7184880821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 117\/699856 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from usuusuusy.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyys. What is prob of sequence sssy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 21 - 31 + 17)*(-v - 2*v + 2*v)*(2 + 4 - 4)*(-1 - 1 + 4).\nAnswer: 4*v**2 + 140*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5829831 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -89 (c) 755\/7 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-3 + 5) - (0 + -1). Let v = w - -3. Solve 0 = v*b - 2 - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -27, -21 in descending order.\nAnswer: 5, 0, -21, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/842365 and -41\/11.\nAnswer: 9266015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 38654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*n + 22304 = 244*n - 13116. Suppose -3*x = 3*w - 18, -x = -w + 2*x - 14. Let j = 6 + w. Calculate the greatest common factor of n and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.425 - -1.425. Sort 5\/6, -1\/3, 5, g in decreasing order.\nAnswer: 5, g, 5\/6, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 2:06 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c + 4. Let z = -1 + 9. Let y(g) = -17*g + 11. Let b(u) = u**3 + 12*u**2 - 48*u - 48. Let h be b(-15). What is h*y(s) + z*x(s)?\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 267*p**3 + 144*p**2 + 1894*p - 474391260?\nAnswer: 801*p**2 + 288*p + 1894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (3 - (6 - 4)) - 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -82 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 42\/4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.98 + 0.02. Let j = 2.06 - a. Let m = j - -2.04. Round m to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + 12)*(-1)\/130*4. Which is the third smallest value? (a) -0.15 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 34 = -4*r. Suppose 3*l = 2 + r. Let t = 2 - 2. Solve -a + l + 1 = t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-6 + -14 + 10)) + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.47445289*2.\nAnswer: -4.94890578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*l - 11, 0*z - z - 3*l - 4 = 0. Suppose -2*a - 5*i + 22 = 0, 0 = -3*a - i + z + 2. What is the remainder when -26*a\/(0 + -1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 102\/24)\/(0 + -3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(512)*1*3 + -3 + 6*(sqrt(72) + 1 + 1))**2.\nAnswer: 1512*sqrt(2) + 14189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a - 9. Let i be p(-3). Let g(j) be the third derivative of -1\/3*j**i + 4*j**2 + 0*j**4 + 0*j + 1\/30*j**5 + 0. What is s in g(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k + 12. Let l be q(-6). Sort l, 1, 3 in descending order.\nAnswer: 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f + 73*f = -4*b + 21, f + 2*b = -7 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 285390818 to the power of 1\/3, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((5 + -5 - -6) + -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 - (9 + (4 - (-12 - -20)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 14508.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7184 + -7184.2. Let y = 0.35 - -0.05. Let n = -5.4 + y. What is the nearest to k in n, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*z + 13, 5 = 4*c + 4*z + 13. Let x(l) = -l**2 + 4*l - 2. Let w be x(c). Let d(s) = -w - 3*s + 0*s**2 + 2*s**2 + 2. Calculate d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 92*a. Let q(j) = 2*j**2 - 3. What is q(h(n))?\nAnswer: 16928*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1456 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/1 - (-6)\/(-2). Let v be p\/3*6\/10. Let j = 1 + -0.7. Which is the nearest to -1\/4? (a) v (b) j (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 281792 and 347072?\nAnswer: 89891648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103815675 is divided by 320.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -38475215 divided by -1?\nAnswer: 38475215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22041 (base 5) to base 8\nAnswer: 2761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5250*s**2 + 956*s - 2?\nAnswer: 10500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80)*-1 + sqrt(80))**2*-5 - (-3 + (sqrt(15)\/sqrt(3) + -4)**2*-6).\nAnswer: -48*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5))**(1\/50) assuming q is positive.\nAnswer: q**(2\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 25. Calculate the remainder when 2\/1 + (41 - -9) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011111000010101 + 1011?\nAnswer: -1100011111000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*k - 7 + 20, 0 = 4*w + k - 5. Is 29 a factor of (-2)\/(1\/((-29)\/w))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*t + 881 - 792, c + 87 = -4*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1860 is divided by 182.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3682 + -3375. Is w > -7059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a + 2 - 46*a + 77*a)*(0*a - 2*a + a).\nAnswer: -23*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 10:52 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1776 and -4827.59523.\nAnswer: -6603.59523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51\/2 of a hour?\nAnswer: 91800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3222062*a**5 + 2*a**2 + 144574*a - 3.\nAnswer: 193323720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*t + 2*t. Let i be 3\/4*(17 + -13). Suppose 4*f + 3*m = t, -4*m + 1 = -i*f + 16. Solve 4*x = 15 + f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 60. Let m = r - -29. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 + 4. Let o = 28 - -27. Let a = o + -169\/3. Put x, a, 0.3 in descending order.\nAnswer: 0.3, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Factor 1 + 0*j**2 - 5*j**i + j**2 + 3*j**2.\nAnswer: -(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q - 8*q + 9*q - 7*q - q - 6*q - 1 + 1 - q + (1 - 3 + 0)*(2*q - 3*q + 3*q) + q - 3 + 3 + 5*q - q - 5*q + 3 - 3 - 3*q in the form v*q + u and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 31*m - 88. Let x = -299 - -265. Let f be g(x). Solve -f = -3*q - 2*s, 5*q = s + 11 - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14405 minus -5?\nAnswer: -14400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-4\/5)*w))**(-27)*w**(-11)\/w**13 assuming w is positive.\nAnswer: w**(-363\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 7 + 1)*(-1 + 3 - 1)*(-k + 3*k - 4*k) as w*k + i and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 6. Let a = o - -11. Suppose -16 = -l - a. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1352.948 and 0.24.\nAnswer: 1353.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) 0.0203 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/6 + 19*m**3\/6 + 23*m + 21. Let w(n) be the first derivative of g(n). What is the second derivative of w(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/5 + 26*l**3\/5 - 93*l**2\/5 + 112*l\/5 - 44\/5 = 0.\nAnswer: 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1338 divided by -223\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -686 + 663 + 8 + -5 + 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 208 = 2*h + 3*x, -5*h - 1040 = 4*x. Let t = 547 + h. What are the prime factors of t?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2 + 5*h**2 - 5*h**2 + 3*h**5 + (2*h + 2*h**2 - 2*h)*(3*h**3 + h**3 - 5*h**3) + 2*h**5 - 3*h**5 + 2*h**5 - 2*h**5 + 3*h**5 - 2*h**5.\nAnswer: h**5 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4380 - 4272. Calculate the greatest common factor of 306 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(66) - -2*sqrt(66)*-2) + sqrt(66))*2)\/(sqrt(36)\/sqrt(6)*2 + sqrt(6) + sqrt(6) + 3*sqrt(6)*-3).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * -219.832.\nAnswer: -48.36304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2963 - 2761. Calculate the greatest common divisor of h and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50.3 + -11.7.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103*w + 101*w - 213*w)*(58*w**3 + 99*w - 99*w) + (-w + 3*w - 4*w)*(0*w**3 + 0*w**3 + w**3) to the form s*w**3 + n*w**2 + u*w + o + d*w**4 and give d.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 811408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 14*v**3 + 2*v**2 + 4*v - 1. Let y(m) = -16*m**3 - 2*m**2 - 5*m + 1. Let h(s) = 5*k(s) + 4*y(s). What is h(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79.3 - -76. Let n = a + 0.3. Let f = -3 + 2. Put n, -0.3, f in descending order.\nAnswer: -0.3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 125, -5, -301 in increasing order.\nAnswer: -301, -5, 8, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(3\/(-3)))\/1. Solve 7*z - 10*z**2 + 8 - j*z - 4*z**3 + 2*z**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u + 268436305 - 268436305.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 4*q**2 - 3*q. Let s = 134 + -132. Calculate i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-63 - -4)*3*(-122)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1035*q**3 - 4*q**2 - 9*q. Let x be c(7). Suppose -x = -4*h - 7908410. Let v = -1308416 - h. What is v rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -8690?\nAnswer: 8694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 10:20 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-42)*-1)\/(-26 + 1936\/77).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 4. What are the prime factors of l(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -377*u**6\/120 - 48*u**3 + 8*u**2 - 6*u. Differentiate f(k) with respect to k.\nAnswer: -1131*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdf when three letters picked without replacement from {l: 1, c: 1, p: 2, f: 1, d: 1, b: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1576 + -1086. Let a = d + -428.6. What is a rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baaaaaaaaaaba. Give prob of picking 2 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkzkzz. What is prob of sequence zkk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6819594425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -54.814?\nAnswer: -274.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 3*b**2 + 3*b + 2. Let r = 2 + 1. What is the remainder when k(r) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4686 is divided by 242.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -259.2043 rounded to one dp?\nAnswer: -259.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:47 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24\/13 (b) 1\/10 (c) -0.2 (d) -0.3 (e) 5 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.116 in 0.03, -5, -4, 6, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -7\nAnswer: -90\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + (43 - 86) + -13?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 i, 1 a, and 1 q when four letters picked without replacement from {v: 4, a: 1, i: 8, q: 2, z: 1}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*6*(218890\/2124)\/265?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-12)*20\/(-50). Let v(n) be the first derivative of 0*n**4 + 3\/2*n**2 + 0*n**3 + 0*n - b*n**6 + 3 + 0*n**5. Find the second derivative of v(d) wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, y: 2, o: 5, z: 2, c: 1, s: 1}. Give prob of picking 1 c, 1 o, and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 - 688*z**2 - 1508*z - 452640. Give n(-230).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -69622 and 33982.\nAnswer: -35640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1157783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0*f + 0 - 1\/150*f**7 + 6*f**2 - 3\/100*f**6 - 1\/15*f**5 + 0*f**3 - 1\/15*f**4 - 1\/1680*f**8. Factor q(x).\nAnswer: -x*(x + 1)*(x + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 4*i - 3. Suppose 3*a - 14 = 4. Let z = -1 + a. Suppose 0*s = s - z. Determine v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(3*(2*sqrt(4) + sqrt(4))) - (-6*-1*sqrt(156))\/sqrt(12))**2.\nAnswer: 36517\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*r - 2*j + 19, 2*r + 4*j = -14. Suppose -r*d - 3 = 3*c - 15, 4*c = 2*d + 4. Solve c*x + 16 = 6*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 46 + 19 - 6823*n.\nAnswer: -6823*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49\/2 - -24. Let z = -31.9 - -32. Let u = -2 - -3. Which is the nearest to w? (a) u (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-582)\/(-58) - (31 + (-55 - -34)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-6 + 5)*-1. Does x = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1223, -2452, -3683, -4916, -6151, -7388?\nAnswer: -8627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o - 2*o + 3*o + (6 - 11 - 15)*(-3 - 3 - 4)*(-14*o - o - 3*o)*(2 + 1 - 1) to the form v + w*o and give w.\nAnswer: -7199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 20*d**2 - 14*d - 24. What is h(-20)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -4\/5 (c) -1.1828 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 45933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-3)\/(-270))\/((-269)\/(-538))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, f: 5, z: 1}. What is prob of sequence vf?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 3 - 3 + (0*y**2 + y**3 + 0*y**2)*(-5 + 2 + 1) + 3*y - 2*y**3 - 3*y + 22*y**3 - 96*y + 96*y - 3 + 3 - 4*y**3 + (-y - 2*y**2 + y)*(y - 3*y + y).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120110 - 102121?\nAnswer: -2000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4, -512?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 12:49 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + (-78)\/12)*-1. Let y = -243 - -246. Find l, given that 1\/6 - 1\/6*l - w*l**y - 5\/6*l**2 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485941.5 months in millennia?\nAnswer: 40.495125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 18\/((-4)\/((-20)\/3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 5. Let y = -15 - -13. Let k(f) = -f**3 - 3*f**2 + f - 1. What is the remainder when k(-4) is divided by r(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12919039131 to five dps.\nAnswer: 0.12919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1239610)\/(-14261) + (21\/39)\/7?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -4*-1*sqrt(153))\/sqrt(9)*1)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-108)*45\/420\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 180, 300, 456, 660, 924, 1260, 1680?\nAnswer: 2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16681b (base 16) to base 5.\nAnswer: 333442233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -9. Suppose 1 = -d + q. Suppose 0 = 5*j - 0*j - 50. What is the remainder when j is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbdbxdtbim. Give prob of sequence tdbi.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.1. Let q be 36\/1323*14 + (-2)\/(-7). Put d, q, -2\/7, -2 in descending order.\nAnswer: q, d, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -26. Let p(j) = -5*j**3 - j**2. What is p(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91 * -3526.\nAnswer: -320866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -53. Suppose -5*h - d = 0, 2*x - h + 2 = -3*h. Calculate the smallest common multiple of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, r: 1}. What is prob of sequence xr?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7488 and 1010304.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162939260 a multiple of 4444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75729, 75682, 75611, 75516, 75397, 75254, 75087?\n\"Answer: -12*m**2 - 11*m + 75752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 696*s**3 + s + 458?\nAnswer: 2088*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2619*m**3 + 8*m**2 - 20*m + 4. Is q(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 390.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(684)*2 + 2 + 3 + 4 + (1 + sqrt(684)*-1)**2.\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18250 + -216?\nAnswer: -18466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484 + 2804 = 3*o + 16. What is the greatest common factor of o and 640?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4\/3 + 316423*i**3\/3 - 395558*i**2\/3 - 606485*i + 158214 = 0 for i.\nAnswer: -79107, -2, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**2 + 9*f + 5. Let v(u) = -12*u**2 + 30*u + 17. What is 2*v(d) - 7*w(d)?\nAnswer: 4*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2002 and 140.\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 9*s**2 - 13*s - 19. Determine g(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21782590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d - 5 + 0*d**3 + 0*d**2 - 1\/5*d**5 + 0*d**4. What is the first derivative of g(k) wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 541492 and 8388.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - 2*g**2 - g**2 + (-3*g + 4*g - 3*g)*(-3*g - g + 2*g) + (-10 + 15 + 22)*(-37*g**2 - 13*g**2 + 13*g**2).\nAnswer: -997*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, -0.3, 6\/5, 1.7, 2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6441bb (base 12) to base 15\nAnswer: -214125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**3 + 0*w**3 + 5*w**3 - 3 + 2*w**4 + w - 2*w to s*w**2 + l*w**4 + h + f*w**3 + b*w and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3. Suppose -i - 2*d - 3*d - 6 = 0, 0 = -5*i + 4*d - 1. Let m be u(i). Let l(f) = 4 + 3*f + m*f**2 - 2*f**2 - 3*f**2 + 2. Calculate l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -797, -1590, -2379, -3164, -3945, -4722?\n\"Answer: 2*v**2 - 799*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, x: 3, e: 1}. What is prob of picking 1 e and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 571 + -291. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75750 and 2424?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/(-38)*(-48)\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, -4, -3\/7, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3924 and 1008?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let w be g(2). Let y = -0.009 - -5.909. Let b = y - 6. Sort w, 0.3, b.\nAnswer: b, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2497 + 2499. Solve 5*g = -n*h - 33, -h + 15 - 4 = -3*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 257286.8 to the nearest one hundred.\nAnswer: 257300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -31.2. Let k = b - -2.1999955. What is k rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -902 + 898. Let w be b\/18 + 1038\/297. Factor -2\/11*o**3 + 16\/11*o**2 + w - 42\/11*o.\nAnswer: -2*(o - 3)**2*(o - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**3 - 6 + 8*o**4 + 27*o**2 - 34*o - 9*o**2 - 33*o**2 + 10*o**2 - 37*o**2.\nAnswer: 2*(o - 3)*(o + 1)**2*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b**2 + 23\/2*b + 1\/6*b**3 - 17\/3 = 0.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 2*b**2 - 11*b + 4. Let m(k) = k**3 - 2*k**2 - 11*k + 5. Determine 3*a(r) - 2*m(r).\nAnswer: r**3 - 2*r**2 - 11*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135*g**4 + 3224610*g**3 + 6449580*g**2 + 4299800*g + 955520.\nAnswer: -5*(g - 23888)*(3*g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-81 - (-43 - (-28 - -2)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Suppose -2*k + 3 + 5 = n. Suppose 3*b - a = 80, 2*b - 3*a - 10 = 34. What is the greatest common factor of k and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**6\/120 - h**5\/20 - 25*h**4\/24 - 7*h**3\/2 + 2202*h**2. Suppose x(u) = 0. What is u?\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**17\/g)\/g**(-29) assuming g is positive.\nAnswer: g**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 3*h - 2*h)*(h**3 + 2*h**3 + h**3) + (-2*h + h - h)*(-2*h**3 + 2*h**3 + 2*h**3) as i + b*h**2 + l*h**3 + j*h**4 + u*h and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, 4, -4, 95779, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -5. Let q(y) = -2*y**2 - 11*y + 13. Let r(k) = -k**2 - 5*k + 6. Let i(u) = 2*q(u) - 5*r(u). Let j be i(-3). Sort j, 2, a.\nAnswer: j, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/8136*4500\/(-48) - (-13)\/78?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/9548 and -75\/572.\nAnswer: 124124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, 0.3, -4, 0, -0.136?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -6*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*o - 7*o**2 - 19*o)*((4*o - 4*o - 2*o)*(3 + 0 + 2) - 1 - 5 + 2*o + 4 + (-2 + 2 - 3*o)*(-2 + 0 + 1)).\nAnswer: 35*o**3 + 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -241. Suppose 6*w - 2*w - p = 0. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3+-2048478144\nAnswer: -2048478146.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -3738.7797 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*h - 0. Let y(s) = 2*s - 4*s**3 + h + 6*s**3 + 2*s**2 - s**3. Suppose -5*k - 29 = 2*o, -3*o = 5*k + 5 + 26. Determine y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19485?\nAnswer: 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2440080, 4880169, 7320258, 9760347, 12200436, 14640525?\nAnswer: 17080614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1.08. Let r = s - -0.42. Let w be -4 + (-4 - -9) + 8\/(-10). Which is the nearest to -0.08? (a) r (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q - 15 + 75. Suppose -2*i = -q*g + g + 4, -5*g - 6 = 3*i. Put 5, i, -4, 3 in ascending order.\nAnswer: -4, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*n*s**2*y + f*n*s**2 + 3*f*n*s*y - 2*f*n*s + f*n*y + 2*f*n + 16*f*s**2 + 13*n*s**2 - 6*n + 2*s*y wrt s?\nAnswer: -4*f*n*y + 2*f*n + 32*f + 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26.9368265 and -1?\nAnswer: 25.9368265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*j + 86 = 0, 44 = -6*v + 5*j - 28 - 61 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2383090 - -2383090.7878958. Let h = 0.788 - t. Round h to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from debflls. Give prob of sequence se.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*m - 24, -m - 4*t = -2*m + 16. Calculate the lowest common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84357 divided by -1339\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -32*s**2 - 30*s - 83. Give o(-4).\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdkm when four letters picked without replacement from dkkm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/548 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/8*-4 + 30488. Let q = w - 14515. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-42) + (-38)\/12. Sort -72, r, -4 in ascending order.\nAnswer: -72, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011100110 + -110?\nAnswer: -11010011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1172, 23040, 44908, 66776, 88644?\n\"Answer: 21868*p - 20696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5 + 230*o**4 - 4774*o**3 - 95174*o**2 - 289080*o = 0. Calculate o.\nAnswer: -9, -4, 0, 55, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unc when three letters picked without replacement from {c: 1, f: 3, s: 4, u: 2, m: 6, n: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10 = i. Suppose 5*g = 8 + 17. Solve -g*v + i*q + 20 = 0, -3*q + 4 + 4 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2599*s + 69. Let k(r) = r - 1. Calculate 2*d(b) + 138*k(b).\nAnswer: -5060*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 25, -d = 2*d + 3*z + 15. Suppose 5*v - 6*v + 4 = d. Suppose -40 = -2*k - 4*r, -v*r + 10 = -5*k + 68. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -162*o**4\/5 + 3906*o**3\/5 + 6906*o**2\/5 + 1446*o\/5 - 1392\/5 = 0.\nAnswer: -1, 1\/3, 232\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n = -30*n - 48 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1956.14 + 331?\nAnswer: -1625.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -140, -37, 138, 391, 728, 1155, 1678?\nAnswer: 2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16582 + 16581. What is the fourth smallest value in 3, l, -5, -2\/23, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 75, 113?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 444090.1900076 + -444090. Let j = 0.19 - c. Round j to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 6 = 2*v + 2*x, 5*v = x + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - r + 2*r)*(2 + 2 - 1) + 4*r - 5*r - 4*r to a*r + s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*z - z + 22, 2*z - 10 = -3*d. Let x(y) = y**3 - 3*y**2 + 3*y + 2. Calculate the least common multiple of d and x(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 119 + 53 = -52. Determine s, given that -1\/5 + 1\/5*s**n + 0*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5199352 tonnes to kilograms.\nAnswer: 519.9352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3565 is divided by 977?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 + 175*b**2 - 296*b + 81. Give s(42).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 73. Let h(f) = 5*f**r - 4*f**2 + 0*f**2 - 6*f**2. Let z(a) be the third derivative of a**5\/60 - a**2. Determine h(z(c)).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -335097*n**2*r**2 + 37*n*r**2 + 1297*n wrt n?\nAnswer: -670194*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -62. Suppose 14331 = 118*q - 157359. Calculate the greatest common factor of q and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 1:57 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (118 - 43 - 23)*(-1 + 4 - 1)*(9 - 9 - 8*n) to j*n + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 3*n + 2*n + 0*n - 3*n + 0*n + 9*n - 7*n + 7*n + (-n + 1 - 1)*(1 + 1 + 0) + n - n - n - 5*n + 3*n + 3*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222660 and 148440?\nAnswer: 445320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 0, t + 10 - 15 = -5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 584, 1183, 1790, 2405, 3028?\n\"Answer: 4*u**2 + 587*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 775*k + 6*k**2 - 775*k - 12*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3078 + 3067. Let n = -0.38 + 0.4. Which is the second smallest value? (a) -1\/7 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 23774.\nAnswer: 1\/23774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36342 is divided by 487?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7744542 divided by 3\nAnswer: -2581514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.008 + 26.992. Let r = 11 - d. Which is the second biggest value? (a) -2\/11 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1167 - 1140. Suppose 10*z + 18 = 11*z. What is the greatest common factor of v and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 52?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 6)\/(9\/12). Factor -3*a**v + a**2 + 6*a**4 - 4*a**2.\nAnswer: 3*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**5*l - 19*a**4*l - 3*a**2*l - 6*a**2 wrt a.\nAnswer: -360*a**2*l - 456*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1347084 less than -1347083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -389 by 1.\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*1 + -1 + sqrt(475)*2.\nAnswer: -1 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + ((-270)\/(-88) - (-15)\/20). What is the nearest to 0 in s, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/(-8)*15\/90*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(18\/(-28)))\/(30\/(-45)). Let i be (195\/26)\/(l + 1). Is 1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -131, -523, -1169, -2069?\n\"Answer: -127*x**2 - 11*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 0*z**3 - 2 - 1\/6*z**4 + 19\/90*z**5 + 1\/189*z**7 + 83*z - 11\/135*z**6 + 0*z**2. Solve j(l) = 0 for l.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*946\nAnswer: -47.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*s + 5*s - 22, 0 = 2*o + 4*s - 26. Let n = o - 6. Solve a = n - 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**3 + 6*g - 4. Let f = 48 - 49. Let x(c) = 2*c**3 - c. Let d(r) = -9*r**3 + 9*r - 7. Let o(l) = f*d(l) + 2*x(l). Give 11*k(n) + 6*o(n).\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -553\/8. Suppose -y - 4*b = 1, -y + 15 = 3*y - 3*b. Let x = 18.1 + -17.1. What is the closest to x in y, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g - 4. Suppose 5*n = 61 - 6. Let o(r) = -13*r + 7. Let y(x) = n*v(x) + 6*o(x). Suppose 3*h - 15 = 4*w, -w - 3*h - 2*h + 2 = 0. Calculate y(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99\/40 + -19\/8. Calculate the common denominator of 17\/9 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 11:10 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*d**2*i*p**3 - 28654*d**2*p**3 - 2*d*i*p**3 - d*p**2 + 260*d*p + 2*d - 2*i*p - 77*i wrt d?\nAnswer: 32*i*p**3 - 57308*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.11? (a) -5\/2 (b) 0 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -524344000 to the nearest 1000000.\nAnswer: -524000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1803 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)\/(sqrt(30)\/sqrt(216)))\/(sqrt(30)\/(-1*(sqrt(24) + sqrt(6))))*-5)**2.\nAnswer: 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 11:26 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6754 divided by 614?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 6*x**2 + x. Let y be m(-4). Suppose -305 + 32 = 3*j. Let d = y - j. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9662716 or 9662710?\nAnswer: 9662710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3569 and 1204.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-105)*6\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54 + (-1 - 22) + -56\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321794509 rounded to the nearest ten thousand?\nAnswer: 321790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4 + 6*c**3 + 22*c**2 - 6*c - 20 = 0?\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2385007*a*g*j**3*o + a*j**2*o - 5*a*j - 19*a*o + 3*g*j**3*o + 2*g*j*o + 6*j**2*o - 4 wrt j.\nAnswer: -14310042*a*g*o + 18*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 3. Let t(r) = -5*r + 7. Let k be 1166\/(-99) + (32\/18 - 2). Let b be 9\/k - 186\/(-24). Determine b*g(o) - 3*t(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 23. Let s(k) = 5. Let w(b) = 11*s(b) + 2*x(b). Let c(h) = h - 2. Let d be c(2). What is w(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ae652 (base 15) in base 6?\nAnswer: -44100422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (-380)\/6)\/((-7)\/(-84)). Let c = k - -1088. List the prime factors of c.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*c = 98*c + 60 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 9:25 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*u - 28*u - 24*u + 10*u in the form z*u + j and give z.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 1174*s**3 - 2384*s**3 + 1208*s**3 + 17.\nAnswer: -2*s**3 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 47*q + 12. Let n(c) = -48*c - 12. Let v = -17 + 20. Let h(j) = v*n(j) + 2*b(j). Is h(-2) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79526882?\nAnswer: 2, 3037, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 210*u**2 - 4*u - 3. Let j(h) = 70*h**2 - h - 1. Let l(c) = 8*j(c) - 3*o(c). What is the second derivative of l(d) wrt d?\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Suppose -5*k - 55 = -g*p, -p + 9 = 3*k - 0*k. Solve -5*w = -4*u - p, 0 = -2*u - 2*w + w - 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -63*u**2 + 6994*u - 13. What is d(111)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q**3 + 2*q**2 + 8*q - 2. Let p(y) = -7*y**3 + y**2 + 9*y - 3. Let z(o) = -6*p(o) + 5*s(o). Factor z(h).\nAnswer: 2*(h - 1)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-660 - 64679*a - 659 - 616 + 1935)*(2*a - 3*a + 4*a) to the form w*a**2 + i + t*a and give w.\nAnswer: -194037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {p: 1, s: 2, m: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 246*d**2 - 2*d. Let q be y(2). Suppose -6*b + q = 4*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22610391?\nAnswer: 3, 17, 443341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.125203 + 134.625797. Let f = 134 - q. What is f rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -71, -145, -209, -257, -283?\n\"Answer: r**3 - r**2 - 78*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 5*w**2 + 16*w - 22. Let s be t(2). Sort -3, 0, s, 2 in increasing order.\nAnswer: -3, 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + -0.44. Let u be 39\/24 - (-1 + 3). Put o, u, -1 in decreasing order.\nAnswer: u, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21874 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -102986814.8 to the nearest 1000000.\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**6\/120 + t**5\/15 - t**4\/24 - 2*t**3\/3 - 293*t**2\/2 + 3*t - 2. Let o(c) be the first derivative of r(c). Determine o(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -5, -1\/4, -473, -5\/4, 51.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**5\/20 - 17*x**4\/12 - 19*x**3\/6 + 11*x**2 - 13*x. Let j be n(18). Suppose 24 = -0*q + j*q. Solve 4*i - 2 = -q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(425) + -3)**2*1*1.\nAnswer: -20*sqrt(17) + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -544*b**2 + b. Let j(z) = -14*z**2. Give x(j(t)).\nAnswer: -106624*t**4 - 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -132637*w + 4111731. What is i(31)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394145 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 315*y - 2056. What are the prime factors of g(32)?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730504693.\nAnswer: 1730504693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, -2\/21, 4 in decreasing order.\nAnswer: 21, 4, -2\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1008))\/(sqrt(4)*1*-3 - sqrt(4))*1.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 - 3*q**3 + 5*q**3 + (-5*q + 4*q + 5*q + (q - 2*q - q)*(2 + 4 - 4) + 2*q - q + 0*q)*(-9*q + 5*q**2 + 9*q) as r*q**3 + i + y*q + x*q**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/2))**(-3\/4) assuming o is positive.\nAnswer: o**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrrr. What is prob of picking 2 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 - 387*s\/4 + 490.\nAnswer: -(s - 5)*(s + 392)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 4*o - 2*r - 1, -3*r + 15 = -2*o. Calculate the lowest common multiple of 1404 and o.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1276 = 1114. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.8 (b) 5 (c) 1 (d) 51 (e) 2\/11 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302526.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -34*c. Let j(n) = -3*n**2 + 159. Calculate r(j(y)).\nAnswer: 102*y**2 - 5406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6189*y**2 + 6168*y - 2. Give k(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 7*u**5 + u**5 + 0*u**3 + 0*u**3 + (u**3 + 0*u**3 + u**3)*(3*u**2 - 4*u**2 + 2*u**2) - 1182*u**4 + 39*u**5 + 1182*u**4.\nAnswer: 49*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6*t + 16142, -2*t + 0*g + g + 5380 = 0. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8254 + 220*u**4 - 50*u**4 + 174*u**4 + 558*u - 564*u + 55*u**4 wrt u?\nAnswer: 1596*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 1, p: 1, j: 2, q: 1, v: 1}. Give prob of sequence oj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*2)\/(10\/(-15)). Suppose 0*x + r*x = 0. Suppose 2*a + 4 = -x. Does -2 = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2969*r + 90 = 2970*r, -2*c + 30 = 4*r for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1012331 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 3. Let g be (3\/(-2))\/(-3)*j. Suppose g = 3*a + 5*p - 47, -4*p = 3*a - 59. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000431114 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 5. Let f be t(9). Solve 0 = -4*r + f + 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**6\/2520 - 17*v**5\/840 + v**4\/4 - 2*v**3 + 8*v - 266. Let t(m) be the third derivative of i(m). Factor t(g).\nAnswer: (g - 14)*(g - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-455)\/(-156)))\/((-6)\/21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - sqrt(363)*-1*-3)**2 + 5.\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 155677772503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 7*t**2 - 15*t - 47. Determine f(-7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213\/8 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 814 or 8\/5?\nAnswer: 814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110345 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a + -11?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -76 + 1\/15*x**3 + 7\/10*x**2 - 8\/5*x. Find z, given that g(z) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6587 - 6585. Factor 0 + 1\/2*s**4 + 0*s**i - 1\/2*s**5 + 0*s + 0*s**3.\nAnswer: -s**4*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-40))\/(-3 + (-188)\/(-48))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29630.621 - 29606. What is f rounded to one decimal place?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/(-6))\/(-3))\/(-52*(-106)\/(-187408))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1633.4157983 - -0.3763017. Let u = 1634 - p. What is u rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 5*t - 4*t)*(-129315 - 144033 + 230301) to v*t + l and give v.\nAnswer: -86094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Suppose h + t = m, m = -3*h + 2*m - 4. Sort -3, h, 5.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-29)\/4 + 12).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + q**2 + q + 1. Let p(v) = -4*v**3 - 3*v**2 - 2*v + 1. Let i(h) = 5*k(h) + p(h). Calculate the remainder when 125 is divided by i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-16))\/(9\/(-12)). Let n = 3.18 - 0.48. Let h = n - 3. Which is the closest to -1\/2? (a) h (b) g (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39133?\nAnswer: 39133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -1004, -3443, -8188, -16007?\nAnswer: -27668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 - -1 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 14*z + 13*z - 58, 280 = 4*m + 4*z. What is the greatest common divisor of m and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.2, 53, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 - 0.19. Which is the third biggest value? (a) v (b) 1\/6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 8*y**2 + 10*y**2 + 0*y**2 + (4 - 5 + 2)*(-3*y**2 + 5*y**2 + 0*y**2) to the form z*y**2 + d*y + t and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 3810.\nAnswer: 19050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Suppose m = 2*p + 9. Put 4, 0.1, p in ascending order.\nAnswer: p, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2 = p, 2*p - 2*f - 8 = -2*p. Factor -2*z**2 + 37 - 37 - p*z.\nAnswer: -2*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.5 + -41.49681. Round h to four dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 34. What is c(11)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2 + 2)*(-4 + 3 + 3)*(2 + 6*w - 2)*(-w - 5*w + 3*w)*(2*w - w + 0*w)*(-16*w - 21*w + 30*w).\nAnswer: 252*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2270 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*s**2 + (3*s**2 + 0*s**2 - s**2)*(-4 + 1 + 1) + 3 + 2*s**2 - 3 - 785*s**2 - 331043 + 331043 + 5*s.\nAnswer: -789*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m = -11 - 70 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -477, 4, 2\/9, -1\/3.\nAnswer: -477, -1\/3, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(3\/2)*-3. Let n be (-8)\/(-52) - (-141)\/13. Find the third derivative of 5*g**3 - 4*g**3 - n*g**t + g**3 - 3*g**3 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3004 + 0?\nAnswer: -3004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 7:51 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13*j**2 + 344*j + 3777. Calculate the smallest common multiple of l(-11) and 4176.\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 174 - 876. Let s = -297 + m. Solve -9*t = s - 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3721\/1392 - 3\/464. Let i(u) be the second derivative of -14*u - 1\/12*u**4 - y*u**3 + 0 + 0*u**2. Find the second derivative of i(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**3 - 2*l**2 + 11*l. Let t be j(2). Solve 2*b = -4*p + t, 8*p - 9 = -3*b + 3*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-16)*c*c**(-2\/13))\/(((c*c\/(c\/(c\/c**(-8\/5))))\/c)\/((c*c*c\/c**(-44))\/c)) assuming c is positive.\nAnswer: c**(1836\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1213, 4, 3, 61, -1.\nAnswer: -1213, -9, -1, 3, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 4 + (1 - -131) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3291695310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 137 * -13\nAnswer: -1781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 4 (c) 17 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010307 to 7 dps.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 30 = -11*k. Let j(i) = -i**3 - 9*i**2 - 4*i - 1. Let x(v) = v**3 + 10*v**2 + 4*v + 2. Let q(a) = -4*j(a) - 3*x(a). Give q(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1794.8 - 0?\nAnswer: -1794.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 1:19 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 - -210. What is the lowest common multiple of 15 and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 168542a + 0?\nAnswer: 168542a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 = l - 9*l. List the prime factors of l.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*h**3 - 1018157 + 509082 + 46*h**3 + 509075.\nAnswer: 95*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*n - 4 = -5*z, -4*z + 8 = -2*n. Suppose -18*j + 13*j + 10 = 0. Find the third derivative of -28 + 28 - j*b**3 - b**z wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8267.9 + 8268. What is the fourth biggest value in 1.4, m, 0.045, -1\/2, 2\/3?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -4, 3 in decreasing order.\nAnswer: 9, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 12:19 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3167298 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -5615 - 21156. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88464986 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41362 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 11127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23625 - 2450?\nAnswer: 21145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234011 is divided by 11142.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.456 + 6260981.\nAnswer: 6260982.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3762 and -0.6453?\nAnswer: -2427.6186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m. Let a(q) = 11*q + 10*q + 5*q - 25*q. Let i(u) = 6*u + 1. Let k(z) = -4*a(z) + i(z). Give k(j(l)).\nAnswer: 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.55, 33, 2\/15, 4\/345?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**7\/840 - d**6\/30 + 7*d**5\/60 + 5*d**4\/12 + 16*d**3\/3 - 16. Let u(l) be the third derivative of o(l). What is u(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-198828)\/(-3213) + 14\/119. Let j be 15*4 - (-2)\/(-2). Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2708318*g**5 - 84*g**2 + 12260*g - 2 wrt g.\nAnswer: -162499080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p - p + 2*d, 0 = 2*p - 4*d. Suppose 1197*a - 1212*a = -150. Calculate the smallest common multiple of a and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 205 - 245 = 0. Solve 95*k**3 - 4*k**4 - u*k**3 - 16*k**2 - k + k = 0 for k.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280590 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.07 - 0.07. Let j = -23 + 33. Suppose -2*m + 14 = 4*a + m, -3*a - 2*m = -j. What is the closest to -1 in 1\/7, f, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 109.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56 - -1324?\nAnswer: 128a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - t + 4467. What is l(66)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 5371.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**3 + 13*t**2 + 2*t - 4. Determine h(-3).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -417 + 417. Suppose -4*p = 4*b - 928, y = 4*b + 10 + 10. What is the remainder when p is divided by 63?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x + 225. Let d(u) = -u**3 + 8*u**2 - 2*u - 27. Let c be d(0). Let j be v(c). What is the greatest common factor of j and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/20 (b) 2 (c) -0.2 (d) 2\/21 (e) 3 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3769, 3762, 3751, 3736?\n\"Answer: -2*j**2 - j + 3772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026 - 389 = 52*l + 69*l + 2094 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*-6*6*((sqrt(2) - sqrt(2)*4) + sqrt(2)).\nAnswer: -288*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*u - 64. Suppose q + u = -q. Let g be 3 - (q - (4 - 12)). Let z(t) = -9*t - 1. Give z(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -16. Let t = o + -4. Does 9 divide t\/((0 - -2)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4234 and 115876112.\nAnswer: 115876112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 3*j = 3*h + 66, -j = -5*h + 86. Let m be 2\/(-12) - (-3028)\/24. Calculate the greatest common divisor of h and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 7:31 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 18 = 4*g, -v = -57*g + 55*g - 12. What is the smallest common multiple of v and 124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 + 26 - 5*t**2 - 36 in the form d + y*t**2 + b*t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (866 - 824)\/(5 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k + 28 = 148. Solve s - 2*r - 2*r = 5, -s - k*r + 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314232 (base 5) to base 15.\nAnswer: 31e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4167*d + 0*d**3 + 4177*d - 4*d**3 - 8344*d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 260 + -257. Let a(x) be the first derivative of 0*x**2 - 2 + 0*x**4 - 3\/5*x**5 - x + 0*x**q. What is the derivative of a(l) wrt l?\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(1300) - (((sqrt(1300)*-2 - sqrt(1300)) + sqrt(1300) - sqrt(1300)) + sqrt(1300))*-4.\nAnswer: -90*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 303321 + 12?\nAnswer: 303333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/732 and ((-1)\/1)\/((-60)\/24) + 20961\/(-60390)?\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 + 160*v**2 - 169*v + 621. Calculate o(79).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9635 - -0.1\nAnswer: -9634.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -528 or -5802\/11?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 48 = n + 4*n - 4*q, -20 = 9*q - 66 + 28 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15\/b)\/b**(-15) assuming b is positive.\nAnswer: b**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 18 - 67 + 80*a - 82*a. Let r be y(-7). Does 15 divide (3\/1)\/((-1)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268585?\nAnswer: 5, 53717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 31*p**2 + 16. Give y(13).\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29897?\nAnswer: 7, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q - 2*q - 2*q)*(-1 + q + 1 + (-3 + 1 + 1)*(-2*q + 3*q - 4*q)) + (-q**2 + 0*q**2 + 2*q**2)*(4 + 1 - 2) as y*q + j + t*q**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19809251611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 8*x - 3*x - 5*x. Let a(z) = 4*z. What is v(a(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 4)*(i - 2*i + 0*i)*(-92 + 217 - 90) in the form r*i + j and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*o*p**2 + 17*o*p + 19696821*o + 2*p**2 + 55133*p + 2 wrt p.\nAnswer: -30*o*p + 17*o + 4*p + 55133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-441)\/(-98))\/(6\/108).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -134. Let y(q) = -13*q - 86. Let m be y(-8). Let b = m - h. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 11*v**7\/210 - v**6\/75 - 11*v**5\/100 + v**4\/30 - 4*v. What is i in x(i) = 0?\nAnswer: -1, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, -5\/6, 4, -53673 in increasing order.\nAnswer: -53673, -1, -5\/6, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18015 is divided by 2573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1905 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**7\/840 + l**5\/30 - 14*l**2. Let d(v) be the third derivative of h(v). Let f(a) = 3*a**2. Calculate d(f(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.8 less than -25\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1156 = -n - 342. Let t be (n\/1452)\/(1\/3). Let d = -3\/2 + t. Is 3 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 18*w - 16. What is g(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 48*t - 45. Determine v(-49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3101663 - 464?\nAnswer: -3102460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g - 138 = -4*v - 35*g, -2*g + 74 = 2*v. Solve -v = 6*j - 62 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 754.7665.\nAnswer: -2264.2995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64771*d**2 + 64771*d**2 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5643 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**2 - p**2 + 3*p**2 + 2*p**2 + 3*p**5 wrt p.\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7072, -8402, -10598, -13660?\nAnswer: -17588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -114*z**4 + 472*z**4 + 70*z**4 + (z**2 - z + z)*(3*z**2 - z**2 - z**2) - 4*z**4 + 4*z**4 + 3*z**4.\nAnswer: 432*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 3*g**2\/2 + 15*g - 14906. Suppose 2*k = 8, -n + 0*n = -5*k + 26. What is p(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.98. Let n = 0.98 - f. Let d = -0.2644 + 0.4344. Does d = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3945 = 21*c - 3903 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*g + 108, -42 = -g - f - 3. Suppose -15 = -3*d, 4*t + 0*d = -4*d + g. Let i be 4\/6 - 7\/t. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3332 (base 8) to base 9.\nAnswer: -2358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 + 167*y + 180*y - 3*y**2 - 346*y to i*y**2 + f*y + j and give j.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1007*i**5 - 1418*i**2 wrt i?\nAnswer: 60420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1)\/q)*(((q\/q**(-16\/3))\/q*q)\/q)\/q*q)\/((q**(-4)\/q)\/(q*q**35)) assuming q is positive.\nAnswer: q**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044 is divided by 635.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390034, -780066, -1170100, -1560136, -1950174?\nAnswer: -2340214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Suppose -5*a - 9 - 11 = 2*y, a = 3*y - l. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 23*b - 49. Let v be s(10). Let o = v + -94. What are the prime factors of o?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1362437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 2*j - 62 + 3 + 14 + 45.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j - g = -37*j + 1897, -4*g = 3*j - 1152. Calculate the highest common divisor of j and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 - 142*a**4 + 415*a**2 wrt a.\nAnswer: 60*a**2 - 3408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242121 - 11?\nAnswer: 242110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-2)\/36)\/(9\/18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013541548 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 288500 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 74*z**2 + 68*z + 4974. Give f(-74).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - 3) + 1)*5\/25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34460 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643726845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(89\/6816510*138).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-7))\/(1*-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - o + 3*o + o + o + 0*o + (-5 + 3 + 3)*(3 - 3 + o) + (-1 + 2 + 0)*(2*o + o - 5*o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 - 2*h - 1. Let g be r(-1). Suppose -2 = 2*u - g. Suppose 3*f - 83 = -3*i + 2*f, 4*i - u*f = 104. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x*x**(1\/3)\/x))**(-8\/13)*(x*(x*x**(1\/10)*x)\/x*x*x*x**(-3))**(-6\/11) assuming x is positive.\nAnswer: x**(523\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + q = 12, 5*i - 2*q - 8 = 3*i. Suppose 0 = -i*l + 5*x + 325, -165 = -2*l - 0*x + 5*x. Round l to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (747*q**4 + 31*q - 683*q**4 - 25*q)*(0*q + 7*q - 2*q).\nAnswer: 320*q**5 + 30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 597?\nAnswer: -7761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282927?\nAnswer: 3, 94309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4 + 386*n**3 + 11*n - 1?\nAnswer: -12*n**2 + 2316*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 745 and 8055685?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 0.3, -1.52, -14.4, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 176 = -56*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -32. Is 4109*((-8)\/u - (0 - 5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m + 144. Let v(a) = a - 36. Let z(x) = -4*v(x) - y(x). Let s(c) = -4*c + 4*c + 38*c**2. Determine z(s(j)).\nAnswer: 38*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12 (b) -0.14 (c) 8 (d) 2 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 234262 (base 7) in base 5?\nAnswer: 2323311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8014*l + 9 - 7 - 1431*l.\nAnswer: 6583*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + 3*b)*(-1 + 2 - 2 + (-1 - 3 + 2)*(9 - 39 - 12) + 3 + 0 - 9)*(2*b - b**2 - 2*b).\nAnswer: -77*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4661707 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, q: 1}. What is prob of picking 1 q and 2 l?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t**2 + 9*t. Let j(u) = -30*u**2 - 5. Let g(b) = -19*b**2 - 3. Let n(y) = 5*g(y) - 3*j(y). Determine h(n(v)).\nAnswer: -175*v**4 - 45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 1 a when three letters picked without replacement from zdyrqrzyrrdradzdrdzr.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 37*f - 21 + 65.\nAnswer: 37*f + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 0)\/((-15)\/(-50)). Let s = -6 - j. What are the prime factors of ((-42)\/4)\/(s\/(-80)*6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 - 2*y**2 - 2*y + 59. Let b be q(0). Suppose -233*a + b = -232*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 7*r + 1794. What is the highest common factor of r and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50988\/9712 - (-465)\/12.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddzzzdd. What is prob of sequence ddzd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**3 + 2*l**2 - 2*l + 1. Let k be a(1). Let r be 0 + 4\/70 + (-1)\/(-7). Let p = -0.247 - -0.047. What is the nearest to -2\/3 in r, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2526 and 98514?\nAnswer: 98514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a milligram in micrograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -3*j. Solve 3*u - u = j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**3 - 2*c**2 + 7*c - 10. Give v(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 4048 = -5*f - 27*f. Is f a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) + 238\/(-42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -9\/68 (c) -0.3 (d) -20.3 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*k + 30, 0 = -5*k + 4*k - 4. Solve 2*h - j + 9 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -6, 26728 in decreasing order.\nAnswer: 26728, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 1. Suppose 183*i = 180*i + 66. Let y(k) = 12*k + 12. Give i*h(f) + 2*y(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 609332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69999*u = -70051*u - 1144 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 4*j + 10 - 1, -j = m + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26\/9 + 313\/99. Let k = y - 67\/165. Let x = -7 + 7.5. Which is the closest to 0.2? (a) k (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1104 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 150.6 + -138.42. Let v = b - 11. Let q = 0.38 - v. Which is bigger: q or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 378 - 375. Suppose -666 = -h - h + 2*a, m*a - 1332 = -4*h. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/24263 and 17\/150?\nAnswer: 3639450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26290000 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(242) + sqrt(242))**2*-1.\nAnswer: -969 - 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1403 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(4500)*1 - (-4 + -6*(sqrt(5) + 2 + sqrt(5) + -4))**2.\nAnswer: -784 + 312*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) + 14\/6. Suppose f - 2*n = -7, -3*f = -f + q*n - 16. Suppose i - 73 = -f*p, 5*i - 7 - 8 = -p. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 154*d + 107 = -151 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.33 - -0.27. What is the third smallest value in -2, x, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110095184 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 - 56 = 0. Suppose -k*s + 300 = -22*s. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02551048 to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 12:52 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 18, 11, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-4)*2*(-2)\/12?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26066816513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggigigbbuifbgff. What is prob of picking 2 i?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 8*m**2 - 7*m + 11. Let k(l) = -2*l**3 - 18*l**2 - 9. Let h be k(-9). Calculate i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 8*o - 12. Let m be r(-5). Solve 0*g = m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + (-195)\/50)*1. Let q(y) be the second derivative of 0 + 0*y**2 + 1\/6*y**3 + o*y**5 + 0*y**4 + 3*y. What is the second derivative of q(w) wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7452 and 77556.\nAnswer: 2094012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4316*t. Let p(l) = -2*l. Calculate p(m(u)).\nAnswer: 8632*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 10*u - 577. Calculate the remainder when u is divided by (-3)\/6 + 47\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5189 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 5, 112, 3, -3, 4 in ascending order.\nAnswer: -3, 3, 4, 5, 81, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q - 10. Let v(n) = -25*n - 21. Let i(j) = -4*v(j) + 9*w(j). Let g(t) = 23*t + 17. Let k be 172\/(-10) + (-1)\/(-5). Calculate k*i(u) - 6*g(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/47313, -1\/4, -0.3, -1\/5, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 - 117 + 256 + 5*p + 177 + 63 in the form u*p + o and give o.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -5. Suppose p*t = 3*s - 2*s - 17, 3*s = 4*t + 18. Suppose s*m - 67 = 5*f, -5*f + f = m - 1. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24005.\nAnswer: 5, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d - 64?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 12 = -j, -4 = 7*r - 8*r + 4*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, and 2 h when four letters picked without replacement from {h: 7, l: 1, f: 4, y: 2}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4*y + 17 = 2*c, -y = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -224066.824 to the nearest one hundred.\nAnswer: -224100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*g + 20. Let a(n) = -3*n**2 - 13 + n - n - 5*n + 18. Let i(d) = 3*d**2 + 4*d - 4. Calculate g*a(r) - 5*i(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1\/(-2) - -3. Let w(o) = -o**3 + 4*o**2 - o - 1. What are the prime factors of w(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 44 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**2 - 2*k**3 + 238*k - 32*k - 4*k in the form h + f*k + i*k**2 + w*k**3 and give f.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 15*b**2 + 16*b - 4. Let o = -459 + 443. Let g be f(o). Put 34, 5, 1, g in increasing order.\nAnswer: g, 1, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134 and 8?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*x - 232*x + 23*x to w + o*x and give o.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 + r + 1. Let o be c(-2). Suppose 5*t = a + o, -5*t + 2*a = 3*a - 25. Suppose -t - 21 = -5*h. Solve -4*u - h = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13544 is divided by 181.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 38*t**2 - 3*t - 3. Calculate k(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 806 * 8817\nAnswer: 7106502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -2350?\nAnswer: -11\/2350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = i + 2. Suppose -45 = 16*t - i*t. Solve 4*p - 3*p + t = 4*c, -16 = -c + 3*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150 - 15*m + 149 + 30*m + 307*m**2 wrt m.\nAnswer: 614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 + -6)\/((-6)\/(-88)). Let a be ((-42)\/24)\/((-1)\/s). Calculate the highest common factor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11210, 44841, 100892, 179363, 280254, 403565, 549296?\nAnswer: 717447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 244489978 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:07 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3953*o**3 + o**2 - 20600*o - 1.\nAnswer: 23718*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16068 divided by -1.\nAnswer: -16068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 103.\nAnswer: -4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 - x + 1. Let g be b(-1). Let k(f) = -4*f**2 + 2*f - 1. Let h(r) = 3*r**2 - 2*r + 1. What is g*h(v) + 6*k(v)?\nAnswer: -3*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - o - 174, -o = -q + 4*o + 78. Let n be (-152)\/(-16) + 3\/(-2). Calculate the greatest common factor of q and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -187*l + 109*l + 86*l. Let x(b) = 420*b**2. Give x(c(y)).\nAnswer: 26880*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -13. Let z = 11.8 + -12. What is the second biggest value in 0, z, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-16))\/((-54)\/(-24)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -596, -594, -592?\n\"Answer: 2*v - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1409 - -1830. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 14 - 3 - 26*i**2 - 3*i - 6. Is k(-26) 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 382602756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 611 = -659. Let t(k) be the second derivative of -k**3\/2 - 4*k**2 + 2*k. Calculate t(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/7 - 37446*x**3\/7 - 37449*x**2\/7 = 0. Calculate x.\nAnswer: -1, 0, 12483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 + 0*r**2 - r**2 - 2*r**2. Suppose 0 = 2*p + 2. Determine d(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.2, -101, -3, -0.1 in descending order.\nAnswer: -0.1, -0.2, -3, -6, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(63)\/(-2*sqrt(9)))**2 + -3)*-5.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28305, 28576, 28847?\nAnswer: 29118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 0 (c) 3\/5 (d) 245\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10 + g**2 - 5*g - 11*g + 6*g. Let k be n(8). Let x(r) = 2*r**3 - 11*r + 9. Let s(i) = i**3 - 5*i + 4. Determine k*x(y) + 13*s(y).\nAnswer: y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -19177800 to the nearest one hundred thousand.\nAnswer: -19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617999 is divided by 205153?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0 - -9) + -4 + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 15*h**2 - 10*h - 15. Let z be g(-8). Solve z + 15 = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0 - 3. What is the remainder when 1\/5 - 38\/(-10) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 7*j - 7. Let z(s) = -2*s**2 + 13*s + 14. Let y(k) = -7*i(k) - 4*z(k). Let p be y(5). Which is the smallest value? (a) 2\/5 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j + 34. Let p be r(8). Suppose -5*q = -5*z - 275, 5*z - p*z + 4*q = -144. Let u = z - -55. Solve -5*o = -d + u, 2*o + 5*d = 6*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a**2 - 84*a + 1. Determine j(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/75 and 11\/71400.\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 80 - 66 = 0. Let v(u) = 18*u + 2*u**3 - 3*u**3 - 4*u**2 - f + 0*u**2 - 17*u. Give v(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(110)*-2*3)\/((sqrt(120) - ((sqrt(120) + sqrt(120)*2*6 + sqrt(120) - sqrt(120)) + sqrt(120)) - sqrt(120) - sqrt(120))\/sqrt(12)*6).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5663, 11071, 16479, 21887?\n\"Answer: 5408*p + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 16 = -4*i, 0*y - 12 = -3*y. Let l(w) = 2*w**2 - 4*w + 12. Suppose -9*x = -5*x - 12. Let c be l(x). What is the highest common factor of i and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 n when three letters picked without replacement from dddndddocdddd?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 304*u - 320*u + 223776. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 2*o + 1. Let a be l(-1). Suppose -3*q + 3 + 51 = a. Let d(b) = -b**2 - 7*b. Calculate the remainder when q is divided by d(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 28 = 22*r + 3*q, -q + 4 = -2*r. Sort -0.03, r, 1, -0.1, -2.\nAnswer: -2, -0.1, -0.03, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191 + 37. Let i = -87 + m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6191732 is divided by 287.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9058828.\nAnswer: 2, 2264707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + -10)\/((-136)\/16 - -8). Suppose 5*q - i - i = 43, 5*q - 4*i = 51. Solve 5*r = d + 15, 5*d + 1 = -z*r + q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 406.2 + -406. Let q = -9 - -14. Let x = 0.92 + 0.08. Which is the nearest to x? (a) g (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**4 - a**3 + 4*a**2 + 6*a. Let r(q) = -q**2 - 5*q + q**4 + 0*q + 4*q. Let c(p) = 5*r(p) + z(p). Let c(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {m: 1, l: 2, o: 1, u: 4, a: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddgddd. Give prob of sequence gd.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-21) - ((-12477)\/(-693) - 19).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 9*u**8\/112 + u**7\/10 - u**6\/20 + 6*u**2. Factor a(h).\nAnswer: 3*h**3*(h + 1)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 7:22 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, 11, 55, 135, 263?\n\"Answer: 2*s**3 + 6*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117971.\nAnswer: 7, 19, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*w**4 - 105*w**3 + 264*w**2 - 144*w.\nAnswer: 3*w*(w - 4)**2*(4*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 439 - 437. Let b be 27 - f - (19 + -11). Solve 5*s + 2*n - b = -2, 4*n = 2*s - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - x - 10 = 0, 26628*s = 26679*s - 5*x + 316 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naktn. What is prob of sequence tnk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3549 and 1.782.\nAnswer: -6324.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 11. Let p be r(-11). Let z be (p - 3)*(-4 + 3). Suppose 3*s + 2*s = 5. Solve g + 3 = z*h - s, 5*g = -4*h + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 26. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 143*q**3\/5 + 207522*q**2\/5 + 42069*q\/5 - 2902 = 0.\nAnswer: -1451, -5\/13, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + 5.01. Let l = 3 - o. What is the second smallest value in 1, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*g + 13 = 2*h - 161*g, 18*h + g + 384 = 80*h - 109 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3390\/7 + 68367\/140. Let o be (16\/14)\/(3\/954). Let a = o + -51503\/140. What is the common denominator of a and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-405)*18\/(-68).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 329226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 50720 = -3*g, 3*g = -5*h + 2*h - 50712. Round g to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13199071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times 6\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/9 (b) -0.474 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -7, -2541, -1 in descending order.\nAnswer: -1, -2, -4, -7, -2541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) 5 (b) 10\/9 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(19) + sqrt(19))*1)**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 57735189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*-1 + 2646\/12)*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*m = -6, -5*n + 52 - 36 = -3*m. What is the smallest common multiple of 50 and n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3115367, -3115692, -3116017, -3116342, -3116667?\n\"Answer: -325*d - 3115042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 2*x**2 - 4*x + 5. Let j(g) = -2*g**3 - g**2 - 3*g + 4. Let r(k) = -3*d(k) + 4*j(k). Determine r(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 85419, 85432, 85455, 85494, 85555?\n\"Answer: f**3 - f**2 + 9*f + 85410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4955956012.\nAnswer: 2, 7, 53, 541, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2*sqrt(66)*-6)\/sqrt(6) + 2).\nAnswer: 8 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = 48*l + 4*d, 0 + 17 = -5*l - 6776*d + 6779*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 731840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 53 = -4*l, 0*l + 6*l = 5*c + 8*l - l + 36286 - 36305 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 14, y: 1, w: 5}. Give prob of sequence ow.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13.7 (b) 1\/8 (c) -95 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*j + 64*j + 63*j - 7*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/5*(-15)\/6. Let i = r - 17. Let n(y) = 3 + y + 4 + 0*y - 5. What is n(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(6 - 1112 - (0 - 3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14034269 or -14034278?\nAnswer: -14034278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/316 and 117\/1700.\nAnswer: 134300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n - 3. Let j be g(-1). Let m = 19 + j. Calculate the highest common factor of m and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -13*z - 5*i - 3, 3*i + 1 = -z. Sort -5, -2, 3, z, 2 in descending order.\nAnswer: 3, 2, z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-15)\/(-160)*(-340)\/9 and (-5516)\/5040 + 2\/5.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2988024 is divided by 165999?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2761 is divided by 303?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**5\/2 + n**4\/3 + 5*n. Find the third derivative of p(w) wrt w.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-3)\/(3\/5). Let i = -87 + 115. Calculate the greatest common divisor of i and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 8*s**2 - 6*s - 1. Let p be u(-7). Let f(m) = -11*m**2. Let i(x) = 7*x**2. Give p*i(o) - 5*f(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 f when four letters picked without replacement from {c: 5, f: 11}?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/86960214 and -113\/55338318.\nAnswer: 608721498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -1. Let r(k) = k**3 + 8*k**2 - 47*k + 8. Let i be r(-12). Let f be i\/16 + (10\/8)\/5. Solve f*y = j*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 8.5, 5, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34651433 by 1194877.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004474 divided by -2?\nAnswer: 502237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*a + 2*g - 8, -3*a = -2*g - 45. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a millennium in years?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247406 and 65096?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -9 + 18 + (-6 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**2 + 4*z**2 - 22*z**2. Let x(q) = -2*q**2. Let v(b) = -6*j(b) + 26*x(b). Let r(t) = -t**2 - 9*t**2 - 21*t**2. Calculate v(r(s)).\nAnswer: 1922*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 20 + 178 = 0. What is the lowest common multiple of w and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)*296\/(-4). Let t be (-1527)\/12 - 2\/(-8). Let n = p - t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/30 - b**4\/12 + 2*b**3\/3 - 24*b**2. Let j(z) = 5*z**2 + 5*z - 11. Let s be 1*(-4 + 3) + 12. Calculate s*p(w) + 4*j(w).\nAnswer: -2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtdt when four letters picked without replacement from dsdsttss.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84382*q**6 - 90459*q**2.\nAnswer: -10125840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 30 = 3*g, 49 = 4*u - 3*g + 11. Let h = 4 + 4. Let z = -6 + h. What is the greatest common divisor of u and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400.82 times -2.7\nAnswer: 1082.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 - q**2.\nAnswer: -q**2*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17\/204*3*-1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nno when three letters picked without replacement from nnonnnnnnnoonnnnnoon?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2. Suppose -4*k = -3*k. Let z(c) = k*c**2 - 6*c**2 - 12*c**2. What is z(l(o))?\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**4\/24 + l**3\/6 - l**2. Let t(x) = x**3 - 11*x**2 - 13*x + 16. Let d be t(12). Let f be p(d). Solve u = f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30544903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 933 - 917. Let x = 1 - 1. Suppose l = -4*i + 88, -i + 4*l + 23 + r = x. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 3.75.\nAnswer: -0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.18 and 163.9604.\nAnswer: 163.7804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - -37. Let z = 62 + g. What is the remainder when z is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a factor of 769442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7692 is divided by 1917.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10135, -10199, -10263, -10327?\n\"Answer: -64*w - 10071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1045 - -2330. What is the remainder when j is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x - 6. Let p(j) = 14*j + 13. Give -7*c(s) - 3*p(s).\nAnswer: 7*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 8:39 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*a + 32. Suppose 0 = 4*c - 5*w - 13, a*c + w = 7*c + 9. Solve 38 - 28 = -c*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 15. Let r be t(-7). Suppose 0 = -2*x - 4 + r. What is the third derivative of -4*y**2 + y**5 - y + 16*y**x + y wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 3) in base 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*q + 6 + 6 = 0, -3*q = -5*d + 20. Suppose -d*o - o - 15 = h, 40 = 2*h - 4*o. Let v be (-4)\/(2*(-1)\/h). Solve -2*j + v = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.308 - -0.708. Let s(n) = -n**2 + 6*n - 7. Let x be s(4). What is the closest to x in 2\/3, w, 21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 354\/9 + 3*3\/(-27). Let i(g) = 3*g - g + 33 - t. What is i(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00089 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 14 + 546 = 0. Let p = -132 + t. Solve -p*b = -13*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:04 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14248 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 7:35 AM and 6:14 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -32. Calculate the smallest common multiple of 6 and g.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 u when four letters picked without replacement from {x: 2, d: 1, u: 4, e: 4, v: 3}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k - 142*k = -610 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, q: 11, l: 4}. Give prob of picking 3 q.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-1625)\/75 - -24).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 1, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 20. Let i(t) = t**3 + 5*t**2 - 3*t + 5. Let g be i(-5). What is the greatest common factor of o and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208714 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, k: 1, w: 1, u: 2, f: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/58, -0.3, -4\/3, -20, 3?\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4050*o**2 - 6*o + 247.\nAnswer: 8100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/11)*z*z\/(z\/(z\/((z\/z**(-3\/11))\/z)*z))*(z\/z**(-2)*z)\/(z\/z**(3\/8)*z*z) assuming z is positive.\nAnswer: z**(465\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 10. Let f be g(-5). Let t be f\/10 + 1\/2. Solve 7*r = t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*f + 18, 5*r - f + 1 - 18 = 0. Calculate the lowest common multiple of -32*((-24)\/(-16))\/(-3) and 27\/r - (-1)\/1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Suppose m*w - 31 = 13. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (-3 - -4) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30883810207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64560 and 676535?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*u**3*x + 15*i*u**3 + 105*i*u**2*x - i*u**2 + 2*i*u - i*x + 68*u**3 - 5*u wrt u?\nAnswer: 6*i*x + 90*i + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -52 + -49 + 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4\/5 - 28*t**3\/5 - 68*t**2\/5 - 68*t\/5 - 24\/5 = 0. What is t?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 796 - 414. Calculate the remainder when g is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2157 times -788?\nAnswer: -169.9716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 3*h**2 - 3*h. Suppose -15 = -2*p - 159. Let w be 2\/(((-3)\/(-28))\/(p\/64)). Let g = 19 + w. Calculate z(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - 191*k**2 - 1789*k - 267. Calculate s(104).\nAnswer: -2451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h - 53*h + 3965 = 0. List the prime factors of h.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g - 3. Let c be x(3). What is the tens digit of (156\/15)\/((-6)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2115374.\nAnswer: 2, 71, 14897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.258955 - -159.341955. Let c = 159 - m. What is c rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1161266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 - 4*n**3 - 317958598*n + 317958612*n.\nAnswer: n**3 + 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**3 + 5*s**2 - 7*s. Let k(a) = 10*a**3 - 4*a**3 - 10*a + 13*a**2 - 6*a**2. Suppose -471*y + 119 = -488*y. What is y*q(f) + 5*k(f)?\nAnswer: 2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 6128 = -5856 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 76 - 2. Suppose -71*b = -h*b + 9. Suppose -q = -f - 1653, b*q - 4*f + 2*f = 4957. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Suppose -3*y + d + 16 = n, -3*y + 2*d + 0*d = -11. What is the first derivative of 0 + 3*c + 3*c + y wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 + 2*d**2 - 2*d + 12. List the prime factors of k(5).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1148663891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r + 38*r**2 - 3 - 2*r**3 - r**3 - 36*r**2. Is 12 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 67. Suppose z*q - 5*h = 5*q + 3, 0 = 5*q + 5*h - 5. Solve -m - 4*m = -5*v - 10, -v - q*m + 7 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-12))\/((-26)\/(-104))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*h**3 + h**2 - 2*h**2 - 99*h**3 + h**2.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -198822, -397638, -596454, -795270, -994086?\n\"Answer: -198816*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + (2*sqrt(11) - sqrt(11)) - sqrt(11))**2 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((4 + sqrt(1216) - sqrt(1216))**2 - sqrt(1216)) - (sqrt(1900) + 5*sqrt(1900)*4)**2)*-1.\nAnswer: 16*sqrt(19) + 837868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 488603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylly. Give prob of picking 2 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-68)\/630 - (-3)\/9 and 59\/54.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7) + (-1*sqrt(448))**2.\nAnswer: sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 38 + 284 = 0. Suppose -t*g + 151*g = -190. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(42\/(-16))*24\/16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**3 + 2*q**2 - 501002*q - 13925 wrt q?\nAnswer: -3*q**2 + 4*q - 501002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 5:40 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -12.5, -5 in descending order.\nAnswer: -0.4, -5, -12.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (4 - 12) + (-1 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4101, -20491, -47807, -86049, -135217?\n\"Answer: -5463*t**2 - t + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*k**3 - 7*k**3 - 17*k**3 - k**3 - 24*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -152*n**3 + 522*n**2 - 105*n + 11. Let b(s) = 2*s**3 + s + 1. Let g(f) = -5*b(f) + p(f). Find c, given that g(c) = 0.\nAnswer: 1\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Let q be -12*(15\/d - 4). Solve 0*w + 3 = -q*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -537257 + -19293.\nAnswer: -556550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in 0.3, -0.4, 1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.31 - 18.31. Let p = 0.9 + -1.2. Sort p, 3\/2, -0.2, h in increasing order.\nAnswer: p, -0.2, h, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 35, 95, 207, 389, 659, 1035, 1535?\nAnswer: 2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = y - 7. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2, -2\/13, -2\/9, 3966?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13355460 (base 8) to base 9\nAnswer: -5580356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 - 8. Suppose -i - 3*b - 89 = 3*i, -3 = b. Let l be 468\/i*(-10)\/3. Let r = -71 + l. What is v(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2. Let o(a) = -11*a + 24253. Calculate o(g(q)).\nAnswer: -22*q**2 + 24253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(152)*1)\/(sqrt(72) + (sqrt(72) - (-1*sqrt(72) - sqrt(72) - sqrt(72))) - sqrt(8) - sqrt(8) - sqrt(8)) - (-5 + 1 + sqrt(19) + -2 + 4).\nAnswer: -7*sqrt(19)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42436 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 14*d**5\/11 + 17524*d**4\/11 - 1182394*d**3\/11 - 5072060976*d**2\/11 + 1449256392*d\/11 = 0.\nAnswer: -867, 0, 2\/7, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1165*w - 3441*w - 6 - 11 + w**2 + 13 + 4*w**2.\nAnswer: 5*w**2 - 4606*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -5104?\nAnswer: 5106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 76997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421 is divided by 203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*q - 31 = -669 - 300 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**4 - 6*w**4 - 5*w**4)*(-3 + 1 + 4) + 0*w**4 - 3*w**4 + 0*w**4 + 33 + 12 + 3*w**4 - 13.\nAnswer: -12*w**4 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-14)*18\/(-27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.67923 millennia to months.\nAnswer: 740150.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 6:37 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1001 divided by 20\nAnswer: 1001\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31\/620 + ((-6)\/(-8))\/(-3). Which is the second biggest value? (a) t (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2430*z**2 + 4200341*z - 4200341*z as x*z**2 + g*z + o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 18 = -h, 0 = -3*u - u - 4*h + 64. Let f(b) = -b**2 + 18*b - 14. Let j be f(u). Let m = -4 + 6. Is m equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117271?\nAnswer: 41, 76031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24127450 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: What is the smallest common multiple of 2474 and 10?\nAnswer: 12370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117141.33us to minutes.\nAnswer: 0.0019523555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -312095 and -0.9.\nAnswer: -312095.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = -2. Let x = 20 - 17. Let n be (c\/(-4))\/(x\/9). What is the nearest to -1 in n, 0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (-22 - (-26 + (9 - 20))) + 5.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226738*i = 226775*i + 74 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.18 (b) -10 (c) 4\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 95 - 147 - (-61 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8. Let s(z) = -3. Let n(t) = -11*s(t) - 4*u(t). Let x(h) = -h. Let d(l) = 3*n(l) + x(l). Let c(a) = 3*a - 7. What is 2*c(q) + 5*d(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + 8 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/7)*n)\/(n**(-1)*n)*(n*n**(11\/2)\/n)\/(n\/n**(-4)) assuming n is positive.\nAnswer: n**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 96, 185, 264, 327, 368, 381, 360, 299?\n\"Answer: -l**3 + l**2 + 93*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 8*h**2 - 9*h + 3. Let d be r(9). Suppose -k + 9 = 3*a, 3*k + d = -k + a. Let v be 15\/(-30)*(10 + 0). Sort v, -1, k in descending order.\nAnswer: k, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2 - 5 = -5*n, 0 = -5*x - 10*n + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7980\/1744)\/5)\/((-92)\/1104) + 11.\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 61*c + 1585. Give j(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j - 17. What is x(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 84*r**2 - 183*r + 4969. Calculate a(-81).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128065 is divided by 336?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46, -63, -92, -133, -186, -251, -328?\n\"Answer: -6*i**2 + i - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3163.3 to the nearest 10.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 3\/2, 3\/7, 0.06, -2\/17, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186433 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16931 + -16925. Solve 2*a = 3*r + j, a + 11 = -4*r + 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 - 10*m. Let l(c) = c**3 + c. Calculate 10*l(y) + x(y).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1.6, 2\/5, -2, 189.9?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 7*b**3\/6 + b**2 - b. Let p(d) = -3*d - 1. Determine -5*p(h) - 2*u(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 541.\nAnswer: 540.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-169117)\/57 + 824\/(-23484). Do c and -2967 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -1644?\nAnswer: -1644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 2:40 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 390.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20174 - 20174 - 146*y**4 + (3 - 3 - y**3)*(-2*y + 3*y + 2*y).\nAnswer: -149*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/39*130\/160*-4)\/((-5)\/180)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -41*q**2 + 4241*q - 14113. What is p(100)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 263 - 248. Which is smaller: y or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 4*u**3 + u**3 + 8*u**3 to f*u + o*u**3 + g + z*u**2 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342400 rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u = -72*u + 64 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*x + 300*x = 2*m - 4, -7 = x - 3*m - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, w: 4}. What is prob of picking 1 w and 1 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Let f be y - (2*-1 - -2). Find the second derivative of f*q**2 + 0*q - q - 3*q**2 wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 7*g**2 - 121*g - 1634. Is j(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 = 3*j. Let l be 88\/(-66) + 52\/3. Solve j*c - 5*c + 5*z = l, -6 = -3*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*b = 5*b + 4, 4*c - 12 = 3*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254385.6nm to millimeters.\nAnswer: 0.2543856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + x**2 - 6*x - 5. Let b be d(-2). Suppose -b*v = -145 - 125. What is the remainder when 137 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppgdppppgvdpgpdpvdd. Give prob of sequence dgv.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -22. Suppose 132 = -x*u + 10*u. What is the remainder when u is divided by 16 - -2*(-2)\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5 = 7. Suppose 0 = j - w*k + 4*k - 7, -3*k + 6 = 0. Let v(q) = 939*q + 948*q - 3 - 1889*q. Calculate v(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 times -0.7?\nAnswer: -370.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 427875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*g**4 - 44*g**2 + 12*g + 686 wrt g?\nAnswer: 180*g**2 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(3\/4))\/f)**25\/(((f\/(f**28\/f))\/f*f)\/f**(-2\/59)) assuming f is positive.\nAnswer: f**(7603\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14134, -14185, -14236, -14287, -14338?\nAnswer: -14389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 10*w**2 - 243*w + 62. Let p(s) = -s**3 - 14*s**2 - 364*s + 93. Calculate 5*p(i) - 7*r(i).\nAnswer: 2*i**3 - 119*i + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/((-27)\/(-2))*3\/7. Suppose 4*g - 2 + 10 = 0. What is the third biggest value in g, y, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2913374 is divided by 409.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*o + 29*o - 192*o)*(2 - 2 - 1)*(2 - 3 + 0)*(-4 + 1 + 2).\nAnswer: 253*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 650179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**2\/2 - 1234. Let y(h) be the first derivative of 91*h**3\/3 - 2. Give y(g(r)).\nAnswer: 91*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -39741 (c) -11 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*z + 28 = 0, -5*t + 40 = -3*t + 2*z. Is t at least 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -141983*v**2. Let p(b) = 11*b. Determine k(p(w)).\nAnswer: -17179943*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3 and -11\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.57026 rounded to 2 decimal places?\nAnswer: 13.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(135)\/sqrt(3))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2661979450.\nAnswer: 2, 5, 13, 367, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 14.5?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3350.3341 + -3350. Let i = 0.0289 + v. Let b = -0.43 + i. What is b rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*q*y - 492724*q - 11194*y + 3851 wrt q.\nAnswer: -11*y - 492724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 541*h - 121. Is f(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -1\/24*s**4 + 0*s - 1\/3*s**3 - 1\/120*s**6 + 0 + 7*s**2 + 1\/12*s**5. Determine a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let m = -1 + f. Suppose -5 + m = -2*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1247 + 1266. Solve 5*w + 16 + 8 = -z, -h = 3*w - 4*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/196464 and -47\/700?\nAnswer: 34381200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-3 + 1 - -2) - 2) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 5294\nAnswer: -4\/2647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)\/(a\/(a\/(a\/a**(2\/27)))))**1\/((a**(1\/3)\/a)**(2\/37)*(a**1)**(38\/3)) assuming a is positive.\nAnswer: a**(-12544\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i + 6. Let q be g(-6). Let c = 20 + q. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7234502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94106144603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 - 0.09. Let r = 4\/27 + -128\/135. Let z = -3 + 3.4. Which is the second biggest value? (a) z (b) o (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.2 (c) -1\/2 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/520 and -105 + 107 + ((-355)\/104 - (3 - 5)).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**3 + 15245*u**2 - 25440*u + 10180.\nAnswer: 5*(u - 1)*(u + 1018)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 39 = 0, 100*o - 98*o - 5*j = 79. Let t be ((-54)\/8)\/((-9)\/336). Calculate the highest common divisor of o and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 5. Determine b(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*n = a - 859, 1480 = 5*a - 3*n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1870323 = 114*x - 331*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -1, 2, 5, 279 in increasing order.\nAnswer: -12, -1, 0, 2, 5, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 12. Let j be o(-6). Suppose j*r = 7*r - 469. What is the remainder when r is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2700 = -4*s, -14*s = -9*s - 3*w - 3383. Let f(x) = -s + 679 + 3*x. Let q(y) = 2*y**2. Calculate f(q(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45796 at most 45217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/80 + 15*h**4\/32 + 77*h**3\/4 + 3*h**2 - 1176*h. Factor r(l).\nAnswer: -3*(l - 22)*(l + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/23, -1.069, 1\/1259?\nAnswer: 1\/1259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 62. Calculate the remainder when 34 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-36)*6)\/((-156)\/18)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35635\/11 > 3240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 207\/13, -0.4, 0.3, -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 387076061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = -17*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 9*m + 4. Let r = 12 - 7. Suppose -4*u + 2*x = -16, -r*u + 0*u + 3*x = -19. What is the remainder when c(8) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**4 + 15*y**3 - 6*y**2 + 15*y. Let q(c) = -c**3 - c. Let u(o) = a(o) + 15*q(o). Find the third derivative of u(j) wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -17. Suppose 5*i = -3*q + 20, -5*i - 3*q = -8*i + 36. Which is smaller: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.032 + -0.032. What is the second biggest value in 0.1, -4, -1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 794445*l**2 - 32*l - 212. Let j be k(-6). Round j to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 + n + 5. Let c(p) = p**2 - p. Determine 2*c(r) + s(r).\nAnswer: -r**2 - r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034779 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -243603*c**2 - 10*c + 6. Let r be t(-6). Let o be 6\/27 + r\/(-54). Suppose -6252401 = 7*u - o. What is u rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*p - h - 13 = 0, -2*p = 4*h - 28. Let a = 0.08 - -2.92. Sort 0, a, 1\/2, p in descending order.\nAnswer: p, a, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7994, 8029, 8064, 8099, 8134?\n\"Answer: 35*m + 7959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8861750.\nAnswer: 2, 5, 35447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88581967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1722, -3076, -4414, -5730, -7018, -8272, -9486, -10654?\n\"Answer: y**3 + 2*y**2 - 1367*y - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2 + 11*u + 9. Give b(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1710653814 from -0.4.\nAnswer: 1710653813.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from hhhu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001007 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5141, 5069, 4911, 4631, 4193, 3561?\n\"Answer: -6*c**3 - 7*c**2 - 9*c + 5163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uoopo. Give prob of picking 1 u, 2 o, and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*q = 172*q + j - 4, 7*q = 3*j - 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 30. Let c be b(8). Let z be 2\/c*(-3)\/(-3). Sort -1\/3, -1\/6, z in ascending order.\nAnswer: -1\/3, -1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21974357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {v: 2, j: 7, g: 3}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -173 - 572*y + 147 + 592*y. Let w(i) = 7*i - 9. Give -6*c(m) + 17*w(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205450 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 325778 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.8 + -1.2. Let y = 11 + -16. Let s = 6 + y. Is s > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwfff. What is prob of picking 2 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 16 = i, x - 16 = i + 2*i. Let z(h) = 3*h**2 + 4*h + 2. Let r(n) = 7*n**2 + 8*n + 4. Let f = 22 + -17. Let d(b) = f*z(b) - 2*r(b). Calculate d(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, w: 1, l: 8}. What is prob of picking 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64656, -64705, -64780, -64875, -64984, -65101, -65220, -65335?\nAnswer: -65440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/120 + w**5\/20 + w**4\/24 + 15*w**2. Let m be -1*1\/2*2. What is the units digit of k(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = 3*j + 15, -h = -2*j - 10. Let n(f) be the second derivative of 1\/10*f**6 + 0 - 1\/4*f**5 + 1\/6*f**4 - 2*f + h*f**2 + 0*f**3. Solve n(d) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/((-104)\/(-56)) + 1 + 39. Solve 0 = 39*i - 36*i + 3*v - 9, 5*i - v - d = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y - 7. Let w be (-6)\/(-10) + -58*(-46)\/20. Let d = w - 131. What is the remainder when s(d) is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 367 and 4127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/1984 and -13\/40.\nAnswer: 9920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 13. Let p be ((-9)\/(-2))\/(-9)*14. Let j be w(p). What is the third derivative of -6*u**2 - 94*u**3 - 37*u**j + 47*u**3 + 47*u**3 wrt u?\nAnswer: -4440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00110553541 rounded to six decimal places?\nAnswer: 0.001106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649708459 to the nearest integer?\nAnswer: 25489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*n - n**2 - 2 - 20*n + 50*n - 13*n**3 to f*n**3 + w*n**2 + d*n + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*j - 1880*j - 62720 = 0 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 233*b - 4 - 7*b**2 - 233*b. Let v(s) = -2*s. Determine v(t(r)).\nAnswer: 14*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -0.8072126\nAnswer: -0.48432756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*x + 21, -4*m + 2*x = -3*x - 24. Let b = -7 - -9. Solve -5 + m = -b*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7727092 times -23\nAnswer: -177723116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01062857 rounded to six dps?\nAnswer: -0.010629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1380*x + 1006*x + 50740 + 23226 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 8 - 3) + 8 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214934 is divided by 267.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 302 + 94. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 - -0.88. Let i = -0.19 + j. What is the closest to -1 in 2\/23, i, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17719?\nAnswer: 13, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/10 of a day?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/(-12) - (-76)\/168.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 13523415?\nAnswer: -13523434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4055952.\nAnswer: 2, 3, 84499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3845 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6175 + -227.6175. Sort 4, 2\/5, -1, j.\nAnswer: j, -1, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/76*1*4. Let h = 0.31 + 0.19. Let y = 215 + -209. Which is the smallest value? (a) y (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 280981, -65 in descending order.\nAnswer: 280981, 2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9 = -10. Let g(v) = -9*v. Calculate the remainder when g(-4) is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3784 and -0.2484?\nAnswer: 939.9456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.054 + 1.946. Which is the closest to p? (a) -5 (b) 0.14 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j + 385. Let f(g) = -5*g - 382. Give -5*f(p) - 4*v(p).\nAnswer: 5*p + 370","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7634, -19812, -36528, -57782, -83574?\n\"Answer: -2269*s**2 - 5371*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 4775 - 4775.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - -7. Let k = -29 + i. Solve 2*v = 5*y + 7 - 25, -5*y + k = -v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 7.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 3*a**2 + 137*a**3 - 5*a**2 - 134*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a*a\/a**(-2\/13)*(a*a\/a**(-6))\/(a\/a**(-1\/2)))\/((a*a**(-6\/11)*a**(-2\/3))\/(a*a\/((a*a**1*a)\/a*a))**(-21\/4)) assuming a is positive.\nAnswer: a**(12211\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8656*u**2 + 14146*u wrt u?\nAnswer: -17312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 31. Suppose -5*z = -48 + p. Let x(a) = -7*a**2 + z - 5*a - 2 - 6 + 7*a**3 + 2. Let w(m) = -20*m**3 + 20*m**2 + 14*m + 6. What is 5*w(o) + 14*x(o)?\nAnswer: -2*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(((-3)\/69)\/1). Calculate the highest common divisor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*j - 50, -t + 5*j = 5835 - 5861 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 16*o = 18*o + 540 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/3 of a day?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-67)\/(-23) + (25 - 28) - (-1706)\/46. What is the highest common divisor of 2479 and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 - 226*d - 2115. Calculate the remainder when 536 is divided by v(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 62764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10370 * 0.1\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 - 16*v**2 + 10*v + 168 = 0. Calculate v.\nAnswer: -7, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3 - 19. Let q be 4\/r*2 - -78. Suppose -v + q = g + g, 3*v - g - 221 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, -1\/10, 0.5, -39.8 in descending order.\nAnswer: 2, 0.5, 0.3, -1\/10, -39.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -8\/19 (b) 74 (c) -1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32310, -32278, -32238, -32196, -32158?\nAnswer: -32130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 6*p**4 + 10*p**4 - 2*p**4 + 4*p**2 - 4*p**2 + (0*p**3 - 3*p**3 - 8*p**3)*(4*p + 0*p - 2*p).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 + 79*v**2 - 35*v - 86. What is the tens digit of q(39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027522 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 14. Suppose 0 = -3*n + 2*x - 33, 2*n - 8*x = -3*x - 33. Let v be b(n). Calculate the highest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5481730055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/2 - 14*k**3 + 99*k**2 + 242*k - 490. Suppose d(c) = 0. Calculate c.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 2:30 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -191525 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 - 12*r + 2. Give i(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137180661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1619.5, 0.4, -1, -39, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) + -15*6\/54. Let t = -1 - -0.9. Which is the nearest to 25? (a) 0 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/18 and 26\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 123 (b) -0.518619 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 414 = -3*g. List the prime factors of g.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 188 = 4*s, -r - 3*s + 111 = 2*r. Suppose -r*a - 76 = -41*a. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/4621 + 730098\/23105. Suppose 5*b - m - 158 = 0, b - 2*m - 31 = -3. Let f = h - b. What is the smallest value in 1, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + 52\/14. Let s be 260\/(-30) - 10\/(-5). Sort s, -5, h in descending order.\nAnswer: h, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvb. What is prob of picking 1 v and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 9. Suppose v = -0*v - 6. Let u be ((-5)\/(-2))\/(v\/(-12)). Calculate d(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2795*g = -200*g - 6063 + 2983 - 7300 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635038786.\nAnswer: 2, 373, 599, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akjakajaja. Give prob of picking 4 a.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -107, -124, -161, -224, -319, -452?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6454.\nAnswer: 2, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 4*g + 1\/60*g**4 + 0 - 1\/15*g**3 + 1\/10*g**2. Suppose p(m) = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 21571*c - 21571*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -571 in 2\/7, 1, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 6:52 AM?\nAnswer: 537","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -7*z + 364. Let u = z + 93. Solve 0 = -2*q - u*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 660*g - 10569. Give l(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13398996 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/15 - 5732*j**2\/3 + 57350*j\/3 - 47800 = 0. Calculate j.\nAnswer: -14340, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 10*z**2 - 9*z - 1. Let h be 22*1*(35\/(-10))\/(-7). Let a be s(h). Solve -4*g = -5*d + a, 2*d - 2*g - 8 = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -19*g - 9. Let m(w) = 6*w - 32. Let s be m(5). Let u be n(s). What is the second derivative of -22*v**2 + 53*v - u*v - 66*v wrt v?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 4*f + f)*(-4*f - 3*f + 5*f)*(-4 + 0 + 8)*(-17 - 17 + 6).\nAnswer: -448*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 2)*(0 - 1 + 3) + 0 + 2 + 0 + 4 - 1 - 1)*(417*n**4 + 10038*n**2 - 10038*n**2).\nAnswer: 834*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6976118?\nAnswer: 2, 3488059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2371559 by 5.\nAnswer: 2371559\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b**2 - 235*b + 37*b**2 + 31*b**2 - 21*b + 65*b.\nAnswer: 46*b**2 - 191*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**2 + 2*g + 7. Let n(v) = 8*v - 4514*v**2 - 6*v + 6 + 4507*v**2. What is 4*l(d) - 5*n(d)?\nAnswer: 3*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 147*t**3\/2 - 490042077*t**2\/2 + 204201609828264*t + 204201854849376 = 0.\nAnswer: -1, 11667672\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111 - -110011?\nAnswer: 10010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 800, 1568, 2336?\nAnswer: 3104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5874908159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13919 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 6*y + 0 - 3\/2*y**4 - 27\/2*y**3 + 3*y**5 + 6*y**2 = 0.\nAnswer: -2, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.014271 rounded to one dp?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 8*j**2 - 52661*j - 37885*j + 6*j**2.\nAnswer: -2*j**2 - 90546*j + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -332 + 337. Calculate the common denominator of 85\/8 and (-70)\/56*(3 - 54\/i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5550*i - 6936*i = 4807*i - 2697708 for i.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1374 + -962. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5270 = -141*l - 14*l. Which is the fourth biggest value? (a) 0 (b) l (c) 3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -225*b + 22. What are the prime factors of f(-3)?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224200 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w**2 + 3*w - 2. Let q be f(1). Let j be (-1)\/(-2)*6*q. Which is the nearest to -0.2? (a) -2 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 811? (a) -4 (b) 0.43 (c) 5 (d) -1 (e) 0.423\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -78696, -314802, -708312, -1259226?\n\"Answer: -78702*q**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 223*m - 307. Let w(n) = 112*n - 40 - 71 - 44. Let j(q) = -3*v(q) + 5*w(q). What is the derivative of j(o) wrt o?\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 335*l + 1 + 332*l)*((2*l - 2*l + 2*l)*(3 + 0 - 2) + 7*l - 3*l + l).\nAnswer: -21*l**2 + 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 25880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 246 = 1006. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 17*c**2 - 19*c - 1. Give g(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24298 + 4?\nAnswer: -24294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5704, -6, -3 in descending order.\nAnswer: 4, -3, -6, -5704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 4)*((-40)\/16 + 2). Suppose -d + 1250 = -2*r - 2*r, 0 = -u*d + r + 2535. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129.6 - 21.4. Let p = t + 108. Let w = -43.000054 - p. What is w rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 31, 69, 123, 199, 303, 441?\n\"Answer: z**3 - z**2 + 24*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 6*y + 4. Let u be a(4). Let q = 4 + u. Solve k + q*k = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24636416509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -8. Let l = -56 + 52. Calculate the remainder when 8\/f*(l - 205\/20) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 24*f + 64 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1\/5 (c) 0.06 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43443091 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 310310 (base 4) in base 6?\nAnswer: 23352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2276 - 2238. Calculate the remainder when 2049 is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 277748902 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -602?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-15)*(-17 - 1 - 26452\/(-1479))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1203, -1, -22, 0 in decreasing order.\nAnswer: 0, -1, -22, -1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782980379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)\/g*g*g**(1\/3)*g)**(-44))**(4\/25) assuming g is positive.\nAnswer: g**(2464\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49640.43 + 0.1.\nAnswer: 49640.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79832830 - 51357170. What is i rounded to the nearest 1000000?\nAnswer: -131000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27+0.0114\nAnswer: 27.0114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 33*l**2 + l - 25. Determine m(33).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -248*c + 126*c - 2*c**3 - 11*c**2 + 3*c**3 - 4 + 120*c. Let l be n(11). Is -26 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -276.\nAnswer: -5\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3612 - -0.0612. What is the smallest value in c, 1\/5, -2\/7, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 12:17 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 11. Determine i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*1*6. Let i be 2\/(-12)*-226*o. Suppose -3 = 3*f, i = 2*r - 3*f + 42. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from gggogggo.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 8*c - d - 5 - 45 + 1, -4 = -2*d + 2 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - h + 5*h)*(h - 2*h**2 - h + 7 - 7 + 2*h**2 + (3*h - 3*h - 2*h)*(2*h + 0 + 0)) + 0*h**3 + 3*h**3 - h**3 as y*h + v*h**3 + g*h**2 + w and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o + c, 0 = 5*o + 3*c. Suppose -2*i + 10 + 10 = o. Let w be 14\/20 + (-2)\/i. Sort 0.3, w, 2 in ascending order.\nAnswer: 0.3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h - 2*h**2)*(3*h**2 + 3*h**2 - 4*h**2) + 0*h**4 - 2*h**4 + 3*h**4.\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/3*(-324)\/(-90). Let b(d) = w*d - 12*d + 2*d. Let q(h) = -2*h - 51. What is b(q(u))?\nAnswer: -4*u - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16226088 and 8113044?\nAnswer: 16226088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.93 - -490523687.\nAnswer: 490523681.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 - -1374. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b + 1. Let y be h(-2). What is the units digit of (y + -2)\/((-6)\/(-150))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 1. Let z(t) = 12*t**2 + 6. Let w(o) = -5*d(o) - z(o). What is w(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 8*i**2 - 9*i + 5. Let f be t(-9). Solve 4*s + 2 = -3*d - 26, f*d - 4*s = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 3*x + x**2)*(-4 - 1 - 1)*(-x + 0 + 0)*(205 - 52 + 113) to v*x + y*x**3 + l + o*x**2 and give y.\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35 (b) -50 (c) 4\/7 (d) -2\/7 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*g - 168 = -128*g + 69*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3906 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -222 - -225. Which is greater: 7 or h?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + v = 24 + 1, 5 = 5*s - 3*v. Let b(o) = -o**3 + 2*o**2 + 5*o + 3. Calculate b(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/2)\/(2\/(-120)). Let d = b - 17. Let i = d - -438. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 1828.\nAnswer: -8\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnyywnnncycddbyyyby. Give prob of picking 1 c and 1 y.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23055 + 49281 = 2192*z for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.916462 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Let n be (7 - 3) + -2 - 2. Let r = x - 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 -587.2 rounded to the nearest integer?\nAnswer: -587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 610721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdd when three letters picked without replacement from dddddfdddfd?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174345523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -17*i**5\/60 + 9*i**2 + 65*i. Let f(m) = 3*m + 11. Calculate f(q(t)).\nAnswer: -51*t**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2236434*y**3 + 2449144*y - 1 wrt y.\nAnswer: 13418604*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 97*a**4\/24 - a**3\/6 - 14*a**2. Let l be v(-3). Find the common denominator of -35\/22 and (l\/24 + 1)\/(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40622884 and -0.2.\nAnswer: 8124576.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 17768*p\/3 - 11848\/3.\nAnswer: 2*(p - 2962)*(3*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10*n - 124. Let r be l(-12). Let x = -12 - -11.6. Let b = 65\/2 - 32. Sort x, b, r.\nAnswer: r, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 36. Let p be 8\/((o - 4) + 5). Suppose -p*x + w = -13, -3*w = 5*x - w. Solve -h + 2*h - x = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55793 - 11247. List the prime factors of x.\nAnswer: 2, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - a + 3 = 0, 5*p + 5*a = 3*p + 27. Let n(z) = 36*z + 1. Let k be n(p). Suppose q - 4*q + k = 2*x, -q + 19 = 4*x. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 z when four letters picked without replacement from zqzzzqzzz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1623314239 to the nearest integer?\nAnswer: 40290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5699 and 2509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 14*p + 6 = -2, -3*p - 13 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(2*sqrt(8)))\/(sqrt(9)\/(sqrt(3) - sqrt(3)*-2)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2202110?\nAnswer: -2202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 61*l - 60*l + 11 = 0, 3*l = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1445)\/(-1156))\/(-8*(-2)\/24).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - w**2 - w - 700. Let d be g(0). Let y = d + 405. Let p = -138 - y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 423*o**2 + 3192*o.\nAnswer: 3*o*(o + 8)*(o + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 1 + 0*n**3 - 5*n + 6*n**2 - 3*n + 4. Determine j(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/5)*(u*(u*(u\/(u\/(u\/(u\/(u*u\/(u**(2\/11)*u))))))\/u)\/u)\/u)\/(u\/(u*u**(2\/3)))**(-2\/3) assuming u is positive.\nAnswer: u**(284\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*c**2 + 596*c - 392.\nAnswer: -4*(c - 49)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 129961 to the power of 1\/2, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751 bigger than 2572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-15)*(-27)\/(-12)*3\/3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a tonne in kilograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2631\/4 + 13*10\/520. Calculate the greatest common divisor of d and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5033 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.1 + 0.1. Let i = -5 - t. Let z = 13.999986 - i. Round z to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69163900 divided by 17290975.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1003023 (base 4) to base 10\nAnswer: -4299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1423668 divided by 4\nAnswer: -355917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1605, 1526, 1337, 984, 413, -430, -1599, -3148?\n\"Answer: -9*n**3 - n**2 - 13*n + 1628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3 - 585\/540.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*55\/(-15)*(-26)\/(1300\/225).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10387 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 * 1064\nAnswer: -4788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -411946449*c**2 - 352526111*c wrt c.\nAnswer: -823892898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*6\/8 - 5. Let z(f) = 10*f. Let x be z(q). Let y = -21 - x. What is the third biggest value in -5, y, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 5*s**2 + 3*s. Determine o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 499661.7 days in microseconds?\nAnswer: 43170770880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97313550 is divided by 518?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/12753552 and 73\/23381512.\nAnswer: 140289072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*8\/16)\/((-193)\/772).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 6*b - 7. Let t be z(7). Suppose t = -3*l - 58 + 196. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 399180*f**3 + 2*f**2 + 42618232*f wrt f.\nAnswer: 2395080*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679208791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -67.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**3 + 669*v**2 + 1499*v - 393. Give b(136).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -2*w**3 + w. Let s = -220 - -264. Let m(h) = 133*h**2 - 41*h**2 - 46*h**2 - s*h**2. Calculate m(b(k)).\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*a + a**2 - 14*a + 7*a**2 + 34*a wrt a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*u**2 - 276*g*u + 4*g + 1022*u**4 wrt u?\nAnswer: 2*g + 12264*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s + s. Let j = s + 0. Suppose -2*z + 4*i = 8, -z - 2*i = 3*i - 24. Solve -4*d = -d - j*m, 0 = d - z*m - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7568.6891 to the nearest 100.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 283 - 2299. Is l smaller than -2017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1304016 and -59\/72.\nAnswer: 3912048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5340 and 13172?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 10. Let m(u) = 4 - 3 + 0*u + u. Let o(v) = -v - 4. Let g be o(0). Let q(i) = -i - 2. Calculate g*m(l) + k*q(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204 + o**2 + 8*o - 589 + 188 + 0*o**2 + 197.\nAnswer: o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*-1 + 0.\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(-2)*(-3)\/12*-8. Sort x, 4, -5 in descending order.\nAnswer: x, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**2 + 8*z**3 - 7*z**3 - z**2 - 7*z**3 wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3386585429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**7)\/z**0)**(-4\/9) assuming z is positive.\nAnswer: z**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (1 + -1)\/1. Let o(t) = 0*t**2 - 4*t + 3 + 4*t**3 + t**2 - 3*t**3. Calculate o(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -206 and -0.31.\nAnswer: 63.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) 0.024 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2. Let c(s) be the first derivative of -2*s**2 - s + 251. Let z(i) = 293*i + 7. Let k(f) = 14*c(f) + 2*z(f). Determine v(k(y)).\nAnswer: 561800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**3 + 5*z**2 - 5*z. Let k be x(1). Solve k*g = -g - 4*n + 32, -2*n = g - 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 582.\nAnswer: -58.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6\/37 (b) -1\/2 (c) 2\/13 (d) -6\/19 (e) 2 (f) -5 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k - 150. Let z = 557 - 515. Is g(z) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 12*w - 10*w + 78.\nAnswer: 2*w + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 36\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 - 36*y. Let l(x) = -21*x**2. Calculate m(l(k)).\nAnswer: -1323*k**4 + 756*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69862 + 0.41.\nAnswer: 69862.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1274\/(-63) - (-4)\/18. Let s be ((-752)\/g)\/((-4)\/(-50)). Round s to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:11 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20272?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = -2*q. Suppose -5*o - q = 17. Let k = o + 3. Which is bigger: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/10 + ((-4)\/(-2) - -1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.275 - 12. What is d rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -718.\nAnswer: 717.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d = -c + 714, -4*d + 2134 = 3*c. Suppose 282*o = 306*o - 75816. Let t = o - c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01269114078 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 + 103. What is the nearest to -1 in p, -1, -26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3033 - -1313?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 979.5178t to micrograms.\nAnswer: 979517800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-110891\nAnswer: -110891.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 16452\/171947 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -326\/7271 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -p. Let q = 6 - p. What is the first derivative of 2 - q + 3 - j wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 478b68 (base 12) to base 9\nAnswer: 2151618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 10. Differentiate l + 3*l**3 + 3 + q - l wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -690, -14, -5 in descending order.\nAnswer: -5, -14, -690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/13, -0.6, 14\/19, -3.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1674421056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let h(k) be the second derivative of 7\/6*k**3 + 0*k**2 + 0 + 5*k. Determine m(h(o)).\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -257 (c) 1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:53 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200323120 (base 5) in base 9?\nAnswer: 5143885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1100000100111110001111101000?\nAnswer: 1100000100111110001111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Let p = -96 - -101. Solve -s*t + 8*k - 3*k = p, -k = -1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0 = 4. Let y(j) be the second derivative of 0 - j + 1\/3*j**b + 4\/9*j**3 + 5\/18*j**4 + 1\/15*j**5. Find r such that y(r) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-4))**(2\/105)*(j*j*j\/(j**(3\/16)*j))\/(j*j**(-2\/5)*j*j*j) assuming j is positive.\nAnswer: j**(-2843\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -190878*v - 1145275. Calculate i(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 2076*u + 507433. Calculate o(283).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 756062.\nAnswer: 756057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9201.61 rounded to the nearest 100?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 7*y**2 + y + 1. Let o be h(3). Let b(i) = 2*i + 11. Let z(d) = 4*d + 23. Let u(w) = o*b(w) + 2*z(w). What is u(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 67033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 231350 + -55851. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -552.\nAnswer: -5\/552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + -8. Let h = i + 30. Suppose 16 = c - h. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Suppose -4*d = -k + 6*k - 95, -h*k = 2*d - 59. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22889134.\nAnswer: 2, 3301, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:28 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 330, -181, -976, -2055, -3418, -5065, -6996?\nAnswer: -9211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/5 of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 7594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p - 630 = 34*p - 14*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + z = -n + 15, n - 3 = z. Suppose 0 = -s + 6*s - 20. Solve -5*u + 7 = -s*l + n*l, 4*u + 6 = -5*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6124034 millilitres in litres?\nAnswer: 0.0006124034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*n + g, 67*g = 3*n + 72*g - 4. Suppose 4 + 0 = 2*c. Solve -2*b + 5 - 3 = -c*k, n*b - 3 = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in 12, 15, 0.2, -5, -0.7, -2\/31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, j: 2}. Give prob of picking 1 j and 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/((-756)\/(-32) + -23)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239195 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 146*p + 239. Let n(w) = -149*w - 239. Let h(q) = -2*n(q) - 3*t(q). Find the first derivative of h(m) wrt m.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v**2 + 2*v - 2. Let j be g(1). Let t be (((-72)\/(-330))\/6)\/((-64)\/j). Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*m**2 + 26 - 40 + 3*m**2 wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112401 and 1782669.\nAnswer: 369012483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1065 = -3*i, -4*z + 4*i = -0 - 852. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65584*f**3 + 94254*f wrt f.\nAnswer: -393504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/2))\/t*t**(-15))\/((t\/(t*t\/(t*t\/t**32)))\/t*t**(-16\/9)) assuming t is positive.\nAnswer: t**(347\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:26 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w**2. Let i(n) = 5*n**2 - 7*n - 6. Let h(p) = i(p) + y(p). Let t be h(-5). Suppose t*z - 2*z = 44. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 492 + -556. Let r = k + 152. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 762 and 102561009?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -824917, -824915, -824911, -824905?\nAnswer: -824897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**5\/5 + 3*k**2\/2 + 3*k - 1. Let x(z) be the first derivative of t(z). Find the first derivative of x(f) wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41, -40, -47, -68, -109, -176?\n\"Answer: -w**3 + 2*w**2 + 2*w - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/26, -341, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15*((-2)\/(-5))\/((-30)\/25). Let r be (o + 5 - 1) + (15400 - -1). Round r to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -4, -1.1, -1\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 737 and 34177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12340937 to the power of 1\/2, to the nearest integer?\nAnswer: 3513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24294198 and 194353584.\nAnswer: 194353584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 27, -78, 4, -3, 6, -4 in decreasing order.\nAnswer: 27, 6, 4, -3, -4, -30, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, 2268, 30, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1401*a = -1438*a - 1036 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-14) - (-217)\/49?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. List the prime factors of 18 + (-4 - -3) + n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -l. Suppose -5*q + 25 = 2*g + 3*g, 2*q + 4*g = 16. Suppose 2*h - 4*o + l = -q*h, -h + 18 = 4*o. What is the greatest common factor of h and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -13*l. Let g(a) = -9*a**2 + 4*a**2 + 2 + 3*a + 7*a**2. Let o be g(-2). Let u(h) = 0*h + 5*h - o*h + h. What is m(u(q))?\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4336112 to the nearest integer?\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**3\/3 - 2*k**2 + k + 3. Let n be l(-3). Let x(o) = -o**2 + 6*o - 5. Calculate the least common multiple of 7 and x(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -6.43, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + (-95 - (33 - 69))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-4\/5)\/k*k)\/k)\/(k*k**(-2\/5)\/k*k)*k\/k**(3\/2)*k*k*k\/(k**(-1\/6)*k) assuming k is positive.\nAnswer: k**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 9) to base 7.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcll when four letters picked without replacement from hhhhchlfhchhclhlhf?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 12*u - 27. Determine f(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 1292291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -27*z**3 + z - 1. Let f be i(1). Let p = f - -49. Calculate the lowest common multiple of p and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*r**2 - 108147989 + r + 108147989.\nAnswer: 43*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14835535 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 5. Let b be ((-1)\/g)\/((-6)\/(-9)). Let a(k) = -2*k**3 - 3*k**2 - 2*k. Let u be a(-1). Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1062*j**2*q + 178*j*q + 3*j wrt j?\nAnswer: -2124*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4309057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 + 1 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(18)*3 + 4.\nAnswer: 3 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40495 and 8099?\nAnswer: 40495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/63 and 77\/37579254.\nAnswer: 789164334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 149520*m - 2794528800.\nAnswer: -2*(m + 37380)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let r(z) be the second derivative of -7*z**4 + 14*z. What is r(b(m))?\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*i - 16041 - 428339. What are the prime factors of i?\nAnswer: 2, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = g + 12. Let k(a) = -a + 1. Let i(y) = 2*y**3 + 4*y - 4. Give g*i(c) + 4*k(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0410655 * -0.13\nAnswer: 0.005338515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920 = 4*h - 4*j, h - 5*j = 4*h - 674. Suppose h = 5*d - 3*c, 3*d + c = -66 + 200. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -3\/5, 5, 8\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(209) - (sqrt(209) - 1*(-1*sqrt(209) + sqrt(209)))))\/(6*sqrt(121)\/sqrt(99)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 2*q + 8. Let c be 42\/3 + 2 + q. Let f(v) = -8 - c*v - 2 + 16*v. Give f(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(637) + 3 - sqrt(637) - (sqrt(637) - ((5 + -2 + sqrt(637))**2 - sqrt(637))))*6.\nAnswer: 84*sqrt(13) + 3894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummumumo. Give prob of sequence mmom.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 691 - 185 = 0. Calculate the highest common factor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d + 2. Let a(k) = k - 1. Let j(l) = -2*a(l) - g(l). Let n(q) = -2*q. Determine n(j(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 2*q**4 + 2*q**2 - 1 + 3 + 3*q in the form t*q**3 + p*q**4 + k*q + d + h*q**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274263 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -317523 + 317567. Calculate the remainder when (-1)\/(2\/2) + 349 is divided by q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58 or -90?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3208)\/(-2))\/((-20)\/50). What is v rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**4\/4 - 5*i**3 - 24*i**2 + 64*i - 694. Suppose z(x) = 0. What is x?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*m + 43535115 + 50173617. Let f = m + 2575818. Round f to the nearest one hundred thousand.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 14, x: 4}. Give prob of sequence xoo.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -81. Calculate the remainder when 56 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + v + 0)*(0*v - 2*v - 4*v) - 3*v**2 - 11*v**2 - 4*v**2.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*h = -3*n - 10, n - 5*h + 8 = 0. Let f(l) = -l**2 - l + 4. Let r be f(n). Put r, -1, -4 in increasing order.\nAnswer: -4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**4 - 3*y**3 + y - 3. Let x(h) = -4*h**4 + 2*h**3 - 2*h + 2. Let b(f) = -2*m(f) - 3*x(f). Find the second derivative of b(w) wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 4169.\nAnswer: 37521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1626519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = -2*x. Let k be 6597\/6 - x\/2. Round k to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 1. Let d = 4 + -2. Let y(m) = -m**2 + m - 1. Let h(j) = d*y(j) + 2*p(j). Let u(f) = -f - 5*f**2 + 6*f**2 + f. What is u(h(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = 176. Let z be (3\/(-2))\/(4\/x). Suppose m - z = -4*r, 0*r - 5*m = 2*r - 39. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Suppose w*h = -4*v + 9, -v = -h + 4*v + 25. Find the second derivative of f**5 - 2*f - 5*f**h + 3*f**5 wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 2, u: 1, h: 4}. Give prob of sequence up.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*r + 2*g + 292, -3*g = -4*r + 579. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**4 - h**2 - h + 1. Let p(g) = 9*g**4 + 61*g**3 - 44*g**2 - 242*g + 70. Let d(a) = 2*j(a) + p(a). Let d(r) = 0. What is r?\nAnswer: -9, -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -21. Suppose 2*p - p = 4*f - 23, f - 8 = p. Sort f, 4, x in ascending order.\nAnswer: x, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -22?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 234\/54 + (-1)\/3. Let r be 0 - (n + -4)\/(-4). Solve r = -3*m + 4*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 5 - -3 - -6. Suppose -52 = -5*k + 5*g - 3*g, 0 = -3*g - a. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (0 + -2 + -181 + 189)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4*g**3 + 4*g**3 - 4.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.13 - -15.13. Put t, -1\/4, -2\/225 in increasing order.\nAnswer: -1\/4, -2\/225, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(441))\/(sqrt(28) + sqrt(28)*4).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by -16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 624499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926226451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 625 and 291663125.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, 3, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwpw when four letters picked without replacement from {p: 9, c: 5, w: 2}?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/13))\/d)\/(d**(1\/3)\/d) assuming d is positive.\nAnswer: d**(29\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25134968 is divided by 1310?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*w - 35*w - 552 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -1\/4 (b) 59\/61 (c) -3 (d) 2\/23 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004858923353 to 6 dps.\nAnswer: -0.000486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4*k = 4*x + 2, 0 = -2*k + 8. Let o = 9 - x. Find the third derivative of -j - 4*j**2 + 2*j - j + 3*j**o wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/60 - j**4\/3 - 2*j**3 - j**2 - 54*j. Calculate r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 2. Let t(q) = -2*q + 3. Let k(u) = -3*b(u) - 2*t(u). Let y(w) = -2 - 3*w - 3 + 3. Let d = -54 - -55. What is d*y(l) + 2*k(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -2 (b) -10 (c) 0 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2051 (base 12) to base 8\nAnswer: -6675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7814 - -0.183\nAnswer: 7814.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 77685585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/((-6)\/9))\/4. Let x = 4 + -8. Sort 2, r, x in descending order.\nAnswer: 2, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238407 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1. Let t(v) = v**2 + 10*v + 4. Calculate t(o) + 5*u(o).\nAnswer: o**2 + 10*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32114, 64227, 96340, 128453, 160566?\nAnswer: 192679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9214 is divided by 920?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*x. Find the second derivative of -2*p**2 - 4*p**x + 0*p**2 - p + 3*p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1138 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4610795552 and 13024?\nAnswer: 13024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -9*q + 8*q. Let k be q + 5*4\/10. Solve -y - 5 = -j, 2*y + 5*j = k - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.347029cm to micrometers.\nAnswer: 53470.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108000 + 1?\nAnswer: 108001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.0795869 to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1235 = -9*x + 34. What is x rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445 by 10.\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 18 = -15*l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + 2501?\nAnswer: 2501.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, -7, 5 in descending order.\nAnswer: 5, 2, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -93. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*h + d, 2*h = -5*d - 6 - 1. Let y be 10 - 3\/h*-4. Suppose -3*r = -y*r + 5. Solve -4 = g - r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3621 and 2840?\nAnswer: 144840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/((22\/8)\/11).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 279*(-6 + -9 - -75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 - 4*w + 365 + 6*w - 178.\nAnswer: 2*w + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**2 - 50*o + 2. Let m be d(10). Let h(q) = 13*q**m + 3*q**2 - 5*q**2. Let t(n) = -9*n. Calculate t(h(y)).\nAnswer: -99*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 3*i + 2. Let d(l) be the second derivative of -5*l**4\/12 - 2*l**3\/3 - 3*l**2\/2 - l. Let t(p) = 5*d(p) + 7*s(p). What is t(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 8*b**3 - 2*b**2 + 3 + b**2 - 3*b**3 as t*b**3 + r*b + z*b**2 + a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4.9992. Let c = 0.0431 + h. Let w = c + -0.047. What is w rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 21 = -3*l. Let i = l - -11. Suppose i*p = -8, p + 42 = 3*h - 29. Solve 0 = u - 5*a + h, 4 = -u + a - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -4 (c) -1\/6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/20*(-488)\/(-183) - (-36 - -7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**3 - 8*i**4 - 11*i**2 + 9*i**2 + i**4 - 4*i + 6*i**4 to the form s*i + h*i**2 + f*i**3 + c + p*i**4 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in 4, 108, 1, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 14*i. Let w(y) = 11*y**2. Determine w(h(b)).\nAnswer: 2156*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n)**30\/(n\/(n**(-1)\/n*n))**(-5\/3)*(n**(-3\/2)*(((n*(n*n**(-7\/3)\/n)\/n)\/n)\/n)\/n)**42 assuming n is positive.\nAnswer: n**(-1031\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 69, -4, 7, -6 in ascending order.\nAnswer: -6, -4, 4, 7, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55644*g - 55662*g + 198 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1168 (b) 1\/6 (c) -3 (d) -0.0571\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2)\/((-6)\/8). Let o = 2 + g. Solve -5*y - 10 = -5*v, -3*y = 2*y + o*v - 35 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(12\/3)*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Which is greater: -42811 or -42834?\nAnswer: -42811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3214, -6430, -9644, -12856, -16066?\nAnswer: -19274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 59*s - 55. What is the remainder when n(56) is divided by 331\/7 + 2\/(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 33 = -3*o - 2*y, o + 3*y + 19 = 0. Let c(d) = -d**3 - 7*d**2 + d + 10. Let r be c(o). What are the prime factors of -2 - -94*r\/6?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(15\/4)*b**9)**(-2\/123) assuming b is positive.\nAnswer: b**(-17\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 0.4 (c) -0.76695 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -4 - sqrt(153)) + -3 + -3 - (2 + ((-5*sqrt(153) + 3)**2 - sqrt(153))).\nAnswer: -3846 + 93*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2566 + 104*m + 2566 in the form p*m + c and give p.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/48 - 102\/9. Is 7219*(5 + t - -7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -11, -0.4, 2, 4 in decreasing order.\nAnswer: 4, 2, -0.4, -1.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 1 + 0*z + 0*z**2 - 4\/15*z**3 + 1\/10*z**4 + 2\/25*z**5. Determine x, given that g(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z - 17. Let s be p(9). Find the second derivative of -10*w + 74 + s*w**5 - 74 wrt w.\nAnswer: 200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 57 - (4 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1471*m**3 - 5*m**2 - 170*m - 326. List the prime factors of s(-2).\nAnswer: 2, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 27 - 9 = -4*c, -4*n + 48 = 4*c. Suppose -3*j = -6*j - h + n, 13 = j + 5*h. Suppose -q = -3*s - 214, -422 = -q - q + j*s. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19140 + -100.\nAnswer: 19040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071 = 2*z - 3*s + 548 + 534, 9 = -3*s for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10921191031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 6\/23, 0, -4, 5, 2\/147?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 3*h - 2. Let s be (-15 - 1)\/(-4) - 6. What is c(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193422, 386926, 580504, 774156, 967882?\nAnswer: 1161682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -485 - -1611. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*l + 39, 11*j + 117 = 17*l - 14*l for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 2. Let f be l(10). Let p = f - -13. Let q(c) be the first derivative of -c**2\/2 + 2. Calculate q(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-202)\/29391*(-3)\/(-1)*(-16)\/(-16).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181660110 rounded to the nearest 100000?\nAnswer: 181700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 11*d - 12. Let u be n(12). What is the tens digit of 10 - u*(-2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3479*l - 111374. What is h(32)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/3132*6844\/(-2832)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 10*l**2 + 12*l**2.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 97, 212, 373, 580, 833, 1132?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/8 - 5*l**2\/2 - 3. Let u(r) be the second derivative of i(r). Determine u(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 23*t - 63. Let z(n) = -n**2 + 12*n - 31. Let q(w) = 2*o(w) - 5*z(w). Let f be q(12). Suppose 52 + 53 = f*b. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 64070.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429226801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 6:57 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 7:28 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -511600 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*t - 34354, -t + 14427 + 42839 = 5*c. What is the greatest common factor of 52 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdccdjcjcjccdj. What is prob of sequence jc?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((2484\/(-25))\/18)\/(2\/10))\/((-80)\/(-400))\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**3 - 2*j**2 - j. Let n be (2\/(-4))\/((-1)\/(-2)). Let s = n + 2. Let a(c) = -2*c + 1. Let k be a(s). What is g(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -237314 times -138?\nAnswer: 32749332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**5 - 2882*c**4 - 9018*c**3 + 852388*c**2 + 6316277*c - 2662242 = 0?\nAnswer: -11, 2\/5, 19, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -12 + 4. Suppose 18*j - 40 = 14*j. Calculate the greatest common divisor of j and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(2\/(-5) - ((-559)\/(-65) + -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195 + 405*v + 403*v - 2*v**3 - v**2 - 808*v to the form z*v**2 + y*v + g + m*v**3 and give g.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 99*m + 7741. Calculate g(-83).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 15*t + 2772 = 0. Let h = t - 44. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-5)\/s))\/s**(-6\/17))**(-50) assuming s is positive.\nAnswer: s**(-6250\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -536137*g**3*y**3 - 2293*g**2*y**3 + 2*g**2*y - 2*g*y**3 + 2*g - y**3 wrt g.\nAnswer: -3216822*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1240309 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5 - -5) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5 + (-468)\/(-5). Suppose -4*n = 2*t - f, -t + n + 31 + 19 = 0. What is the highest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077567052.\nAnswer: 2, 14827, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471246 smaller than 4471241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135773 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1894.8 - 3688643970.\nAnswer: -3688642075.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c0 (base 14) in base 15?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -2\/7, -10.7, 0.594, -3\/7, 0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000020683 to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -66. Solve n = b - 1 - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-16))\/(c**(-1\/15)\/c))\/(c\/(c*c*c**2*c)*c)**(-17) assuming c is positive.\nAnswer: c**(-494\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 300735 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*j - 440 - 485 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-7)\/(196\/(-154)))*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*u + 7. What is the remainder when (-564)\/(-9) + 2\/u is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 1:03 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(36*i**4 - 34 + 34) + (3*i - 3*i + 3*i)*(4*i**3 - 5*i**3 + 2*i**3) + 2*i**4 + i**4 - 2*i**4 - 2*i**4 - 6*i**4 + 2*i**4.\nAnswer: 34*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 1397?\nAnswer: 1397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9) + 2\/3. Suppose 2*v - x = v. Solve -h = v - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - c1c4?\nAnswer: -c1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.4, -4.1, -3\/5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 16591*h. Let p(k) = -6*k. Calculate g(p(y)).\nAnswer: -99546*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 18*b = -w + 18, -4*b - 16 = -5*w + 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2. Let r(g) = -2*g + 5. Let k(z) = -3*z + 7. Suppose 0*a = -3*a - 9. Let v = a + 8. Let s(n) = v*k(n) - 7*r(n). What is s(j(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -143*c**3\/10 + 131418*c**2\/5 - 120775899*c\/10 + 844561\/5 = 0. Calculate c.\nAnswer: 2\/143, 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 67 = 2*p + n, 0 = -5*p + 5*n - 155. Let q = p + 30. Suppose -v + 2*v - 22 = -q*a, 2*v - 14 = 2*a. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(((y**(1\/3)\/y)\/y*y)\/y))**14)**(-5)*((y**(2\/5)*y)**(-50))**(-10\/17) assuming y is positive.\nAnswer: y**(-7420\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 16 = 3*n. Let m be 3\/(-2)*n\/12. Suppose 14 = 2*v + m*z, -5*v + 23 + 3 = 2*z. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 5*u - 3. What is n(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 54. Solve -2*p = 3 - c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 188 = 3*q - 3*z, -4*z + 68 = 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: What is the smallest common multiple of 784574 and 72?\nAnswer: 28244664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 936358?\nAnswer: 10299938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x + 5. Let k(v) = -329. Let o(q) = 82. Let g(u) = k(u) + 4*o(u). Let h be -2*1\/(-4)*12. Calculate h*g(s) + i(s).\nAnswer: s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 - 10598\/(-56). What is the hundreds digit of (2\/(-4) - 54\/(-12)) + n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 269\/4 - 67. Which is bigger: z or -60?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**16*d\/d**(-23))\/(d**(-2\/33)*d*d**(-1\/48)*d) assuming d is positive.\nAnswer: d**(20107\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -122, -284, -574, -1034, -1706, -2632?\n\"Answer: -7*l**3 - l**2 - 24*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 96 (c) 5 (d) -1\/3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 21*h - 20. Let s be q(20). Suppose s = 4*n, -4*b = -n - 0 - 4. List the prime factors of 0\/(1 - 3) - (-16 + b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 2\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 174772 and 82.8.\nAnswer: 14471121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10743839 divided by 6.\nAnswer: 10743839\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/8)\/1*-610. Let r = 211 + q. Is r*(0 + 4 + -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 5210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.168 from -70.\nAnswer: -66.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.8 + 26. Let o = -5 + u. What is the nearest to -0.1 in o, -2\/9, 2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 11. Let r(a) be the third derivative of 0*a + 15*a**2 + 1\/6*a**3 + 0. Let y(l) = n(l) - 4*r(l). Calculate y(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -5.9 (c) 0.11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8511 + 5?\nAnswer: 8516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 1276 - 1276 = 0. Solve t = 33*g - 15*g - 72 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/7360 and 43\/6624.\nAnswer: 66240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6034 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -4)*(1 - 2)*-1. Put -2, -124, z in increasing order.\nAnswer: -124, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 206\/32*(-216)\/(-16200) and 71\/2?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + 2 + (-4 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqarvvqavqqaaqa. Give prob of sequence qq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 - 1 - j + 0*j**2 - 2*j**2. Let r(o) = -5*o**2 - 5 + o**2 - 6 + 5*o**2 - 11*o. Let s(k) = r(k) - 3*v(k). Find b, given that s(b) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100110 - 110111011001?\nAnswer: -110001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286693256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 z, and 1 d when three letters picked without replacement from dxacanzdaxd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -96*y + 293 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -1. Let o = -0.1 - v. Let y = o + 0.9. Which is the nearest to 0.2? (a) 0 (b) -1\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 1453 = 1079 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let b be (0\/2 - q)\/2. Solve -b = -3*a + 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 11*b**2 + 14*b - 3. Let d be u(12). Let c = 43 - d. Suppose 0 = 5*g + 7 - c. Solve 0*a = -g*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48535 = -4*k - 4*m + 71645, -k = 5*m - 30065. Suppose 3*r - 25612 = 3*l - 3082, -4*l - k = -2*r. What is l rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3 + -3.1. Let d = 1 - k. Let p = d - -3.2. What is the third biggest value in -2\/5, 0.1, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 7:04 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c4 (base 13) in base 2?\nAnswer: -10111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -340+113781\nAnswer: 113441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1675 = -6622*w + 6487*w + 460 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4 + (1494\/(-26145) - (-197)\/140).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -7. Let z = 17.86 - -1.74. Let m = z + -18.6. What is the nearest to 2 in d, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17887.83961263 - -17887.0246. Let r = 0.815 + a. Round r to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-360)\/(-630))\/(4\/21). Factor 144\/5*w**2 + 484\/5*w**4 + 0*w + 0 + 528\/5*w**p.\nAnswer: 4*w**2*(11*w + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 444, -14, 1, -1, -13 in increasing order.\nAnswer: -14, -13, -5, -4, -1, 1, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from eyppp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515153?\nAnswer: 3, 505051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7034.668063 rounded to 0 dps?\nAnswer: 7035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/((2\/42)\/1). Let o be -21 + r - (-18 + -1). Solve 27 - 4 = -3*h - 5*k, -2*k = 4*h + o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g = -80 - 322 + 162 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4500) - (sqrt(4500) + 2*1*sqrt(4500)))\/(3*(sqrt(9) - sqrt(36)*-4)).\nAnswer: -20*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*x + 0)*(22*x - 3*x - 2*x).\nAnswer: 34*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 + 4*u**3 - 307 + u**3 + 2*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 287196.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0, -5, -69 in decreasing order.\nAnswer: 5, 4, 0, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146266 divided by 3515.\nAnswer: 146266\/3515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*p - 611 = -23 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -1*-4*1. Let g(a) be the second derivative of 23*a**3\/2 + 5*a**2\/2 + 13*a. Is g(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584924 to the power of 1\/2, to the nearest integer?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071487595.\nAnswer: 5, 214297519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:15 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -29*n - 36. What is the remainder when s(-7) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075304522?\nAnswer: 2, 151, 3560611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7429626 and 986?\nAnswer: 126303642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b52b8 + -5?\nAnswer: 5b52b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**2 + 2108*o + 39214. Calculate f(369).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24922 - 24922 - 139*y + 31*y - 7*y**2.\nAnswer: -7*y**2 - 108*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s. Suppose 2*o = -2*u + 10, 2*u + 2 = o + o. Let z(j) = 2*j. Determine u*d(v) - 5*z(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.826 + -3.6. Round f to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -333\/43 (b) -1\/3 (c) 1\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6.2. Let l = 0.22 - -9.78. Let i = 10.1 - l. What is the closest to -3 in i, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - r - 3, 1612*r = 1607*r + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 4 (b) -3\/8 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/7 or 18339?\nAnswer: 18339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 - 6)*(-3*u**3 + u**3 + 4*u**3).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = j + 4*j - 5, 2*j + 11 = 3*t. Let r(w) = 3*w. Let n be r(-2). Let x be n\/4 + 30\/(-20). Sort -1, t, x.\nAnswer: x, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -54*l**2 - 2*l - 4. Let n be u(-1). Is n greater than -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71859254?\nAnswer: 2, 19, 37, 51109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500*b**3 - 1036*b**3 + 524*b**3.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*-2*sqrt(192)*-3 + 1 + -1 + sqrt(192)*1 + sqrt(192))**2.\nAnswer: 49150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + -22 + 16 + 8. Let d(k) = 2*k**3 + 5*k**2 - 5*k - 4. Give d(g).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000183134555 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -404195, -808401, -1212631, -1616891, -2021187, -2425525, -2829911, -3234351?\n\"Answer: -l**3 - 6*l**2 - 404181*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 326, 20 in ascending order.\nAnswer: 3, 20, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(160)\/sqrt(8))\/sqrt(10).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3722 - 3731. Let w = 1.2 - 1. Sort w, -0.1, -1\/11, t in increasing order.\nAnswer: t, -0.1, -1\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-126))\/(30015\/(-9338)).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11226*c**3 + 7*c**2 + 14*c + 14. Let v(k) = 16838*k**3 + 10*k**2 + 20*k + 20. Calculate 10*b(y) - 7*v(y).\nAnswer: -5606*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w = 48 + 80 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -40*s**3 - 6*s**2 + 10*s + 12. Let c be l(-9). Calculate the highest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, p: 3, k: 4, t: 1, n: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -7 + 5 - (5 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) + (-91)\/(-21). Suppose 4*p + 20 = -5*s, 4*s + 3*p - f*p = 10. Solve 3*t - 5*d = 0, s*d = 4*t + 3*d + 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*b**3 - 1553*b**3 - 338*b**3.\nAnswer: -1988*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 11*u**2 - 8*u + 1. Suppose -2*m = -m - 12. Is b(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286426?\nAnswer: 2, 7, 41, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-75))\/(-8) - (380\/75 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 453?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.46 - 0.26. Let h = -284 - -289.2. Let f = h - q. Sort -3, f, 1\/5.\nAnswer: -3, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4463044 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2856384\/580)\/57*15\/12\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 12. Let o be m(0). Suppose x + 13 = o. Let n(l) = -39*l**3 - 2*l - 1. What are the prime factors of n(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 = -3*y - 18, 5*y + 5*q = 5. Which is the closest to -4? (a) 0.5 (b) -0.4 (c) y (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-2)*726594\/(-64746)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8063907566.\nAnswer: 2, 11, 13, 61, 462221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 400 - -10?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6471 - 51703\/8. Find the common denominator of -53\/7 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-12)\/2 + 11. Suppose -z*a + c = -924, -6*a - 5*c + 164 = -5*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*f - 815*f - 10840 = 476*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 16 = -5*j, -4*j + 7 = 4*a + a. Suppose 6 = -j*d - 0. Suppose 15 = -2*t + 5. Put t, 4, d in ascending order.\nAnswer: t, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4927?\nAnswer: 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 575*m + 298 with respect to m.\nAnswer: 575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -3, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 5*n - 8112. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwcwwwwcwwwwwwww. Give prob of picking 4 w.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let u(i) be the first derivative of 1795*i**2 - 2927. Calculate u(o(q)).\nAnswer: -3590*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -7\/20*h**6 - 67\/120*h**5 - 74*h - 2\/3*h**2 + 1\/3*h**3 + 7\/4*h**4 + 0. Find d such that t(d) = 0.\nAnswer: -2, -2\/7, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**2 - 9*d + 29. What is the remainder when y(-14) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, q: 10}. What is prob of sequence qrrq?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfgvgfftkmvv. What is prob of sequence mft?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 8:10 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-2 - 6) - (2 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -399, -399, -401, -405?\n\"Answer: -u**2 + 3*u - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 14, u: 5}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73023 * -70.6.\nAnswer: -5155423.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*k + 67, 2086*k + 9*q - 146 = 2084*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1653.37767 milliseconds?\nAnswer: 0.000002733759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmddmecmmxddudc. What is prob of picking 1 c and 1 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 3. Let f be b(0). Suppose k + 4 = 0, 4*k = -5*m - 2 - 4. Suppose 4 = 2*x + m*x. What is the third smallest value in 0.2, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhvvgrpp. What is prob of picking 1 g, 2 v, and 1 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15 = -0*k. Suppose -2*l + l = s - 7, 0 = -s + 2*l + 1. Sort k, s, 1.\nAnswer: 1, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*n + u, -3*n - 5*u + 18 + 22 = 0. Calculate the smallest common multiple of 11 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 424505\/82 - 5177. Let f = 259\/492 + m. Find the common denominator of (-102 + 104)\/(1 + 61\/(-53)) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/12 - (-80)\/120.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2324820 divided by -9?\nAnswer: 774940\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*t - 285*t - 230 = 244. Suppose -5*w - 85 = 5*o, -3*w - 50 = 2*w - 2*o. Let y be (4\/w)\/(1\/(-2)). What is the second smallest value in -6, t, y, 4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/28956 and -97\/1524.\nAnswer: 28956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -806 - -776. Let u = y + 202. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0315842*75\nAnswer: 2.368815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76173.45 litres to millilitres.\nAnswer: 76173450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12.301 times 0.05\nAnswer: -0.61505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k. Let c(s) be the second derivative of s**7\/1260 + s**4\/4 - 3*s. Let q(a) be the third derivative of c(a). What is q(t(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 47 + 11. Suppose -m*l = 39*l - 5*l. Factor 0 - 2\/21*x**2 + 2\/21*x**4 + l*x**3 + 0*x.\nAnswer: 2*x**2*(x - 1)*(x + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -638 + 594. Let m(q) = -3*q + 1. Let h(r) = 64*r - 22. Let l(o) = w*m(o) - 2*h(o). What is l(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)\/(t**(-3\/5)*t))\/(t**(-6\/7)*t*t\/(t*t*t**(-1))))**(-21) assuming t is positive.\nAnswer: t**(792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5)*24\/8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + s**3 + s**3 + (-13 + 13 - 5*s)*(0 + 0 + 3*s**2) as a*s**2 + i*s + z + y*s**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 + 215\/45. Suppose -2*t + l*v + 2 = -1, -5*t = -4*v - 33. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9275 - 9275 + 10*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -742583 (base 9) to base 6.\nAnswer: -13244033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2\/69 (b) 12 (c) -1 (d) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 6. Let q(l) = 3*l + 17. Let c(d) = 6*q(d) + 17*z(d). Let g(t) = 88*t - 15. Let k(j) = -c(j) - g(j). Find the first derivative of k(n) wrt n.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20 - (3\/48*-4 - (-35)\/28). Solve 0*h + h + l*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71642506 and 74802.\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305144*s - 304299*s - 63375 = 0 for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 10:29 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2909 + 2930. What is the lowest common multiple of n and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.08138 millennia in months?\nAnswer: 516976.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = q + 7, 2*q - 3 = -9. Suppose 3*h = 4*j + 3 + 3, j = -2*h + 4. Calculate the lowest common multiple of x and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - 3 + 3 + 2 - 2 + w - w + 2 - 2 + (-1 + 3 + 0)*(-2*w + 5*w - 5*w))*(3 + 81 - 13 + (-3 + 5 - 4)*(1 - 1 - 2) + 0 + 4 - 5) to o + n*w and give n.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {y: 2, x: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4597516 divided by 4.\nAnswer: -1149379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) 21\/8 (c) 0.01 (d) -3\/4 (e) 104\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010001100 (base 2) to base 14.\nAnswer: 87a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -4*b - 7, 29*b - 11 = -7*s + 34*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3357 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: Solve 214 + 2012 = 32*f + 251 - 41 for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 1079904.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from rrrrrrkrkjkrkkkkpjrr.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*w - 10, 0*i + 2*w - 10 = i. Sort i, -4, 2.\nAnswer: -4, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f + 5*t - 2, -f + t + 2 = 0. Let u = 30 - 12. What is the greatest common divisor of f and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11404 divide 1223021980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert d44 (base 14) to base 3.\nAnswer: 10120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 5:15 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhvo. Give prob of picking 1 h and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 2\/5711, 1\/5, 0.8, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 109*v - 105*v + 4, 4*c + 7 = v + 6*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.7 (b) 1\/3 (c) 4 (d) -2\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.6 (b) -2\/27 (c) 1\/6 (d) -10 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-15)*(-5500)\/550. Let t(j) = j**2 + 1. Let y(u) = 5*u**2 + 2*u + 8. Let d be (-2)\/(-3) + 15\/(-9). Give d*y(p) + f*t(p).\nAnswer: p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -23 + 83. Suppose 4*b + 8 = -4*v, 2*v = b - j - 1. Differentiate q**2 + 0*q**2 - b - 2*q**2 wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(45)) + sqrt(30)\/(6*sqrt(54) + sqrt(6)).\nAnswer: 2 + 58*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 183 - -9?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*i - 10, -5*i - 1 = -3*v - 2. Let q be (v\/6)\/(5\/(-75)). Let y = q + 0. Calculate the lowest common multiple of y and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*j - 543*j - 195*j + 7*j + 18*j.\nAnswer: -935*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10e (base 15) to base 8.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -6. Let o be (8 - -12)\/((-4)\/6). What are the prime factors of 18*(o\/9)\/m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 78, 14, -5, -4 in descending order.\nAnswer: 78, 14, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005606759 rounded to six decimal places?\nAnswer: -0.000561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 5*z + 3. Suppose u + 4*u - 5*a + 55 = 0, u - 4*a + 26 = 0. Calculate y(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 32*q + 13*q + 8 in the form g + z*q and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**4\/66 - 32*z**3\/11 - 2304*z**2\/11 - 20*z. Determine r so that f(r) = 0.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382735685?\nAnswer: 5, 173, 442469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1006)\/(-8) + (-9)\/(-36). Do 126 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 116?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 8, 4*o - m = 4*m + 10. Suppose 3 = -b + 5*s, -4*s = b - s - o. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.499 + -1.499. Which is the third biggest value? (a) -0.2 (b) y (c) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 - 1 - 2*z + 5*z**2 - z**2. Let b(q) = -q - 3. Let m be b(0). Calculate s(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:43 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-30) - (-4)\/(-6). What is the closest to o in 0.2, -3, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -619*m + 625*m + 52218. Is (1\/3)\/(17403\/m - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 3:58 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1 + -2)*(2 + -200). Let q = -181 + r. What is the remainder when 31 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 8. Let g(y) = -430*y**2 - 2 + 6 + 432*y**2 - 7*y. Give g(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(12)*-2 - sqrt(588)*2)\/(-5*(sqrt(4)*-1*5 + sqrt(4))*-3).\nAnswer: -2 + sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 11)*(-152*m**3 + 190*m**3 - 153*m**3) + 14*m - m**3 - 2 - 14*m to v*m**2 + y + c*m + z*m**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-4 - sqrt(2)) + sqrt(18)\/sqrt(81))**2.\nAnswer: 7688\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Let n be 4\/b*-7 + 1. Which is smaller: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - s. Let t(y) be the third derivative of y**6\/120 - y**4\/24 - 3*y**2. Determine 4*t(v) - 4*z(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18444898?\nAnswer: 2, 17, 542497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 10313543?\nAnswer: -10313544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/11 - 86968*x\/11 - 260886\/11.\nAnswer: -2*(x + 3)*(x + 43481)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 382.6602 + -382.5026653. Let n = -0.2305388 + g. Let k = n + 0.073. Round k to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2088993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-1 - (4 + (7 - 3)))) + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -236 divided by -1\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 1, d: 1, x: 1, j: 2, p: 1}. Give prob of picking 1 p, 1 c, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 22*m - 23*m = -50, -11*m = 3*r + 22. Let z(a) = 15*a - 21. Let t(j) = -8*j + 11. What is r*t(o) + 6*z(o)?\nAnswer: 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92822 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9229*a*m - 1006*a + 6*m + 11523391 wrt a.\nAnswer: -9229*m - 1006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 501110, 2004429, 4509960, 8017703, 12527658?\nAnswer: 18039825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 10*y - 1. What is the least common multiple of 39 and g(-5)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 361 = 5*u, 355896 = -5*t - 2*u + 356035 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45)\/2*(-36)\/(-5). Find the common denominator of (2\/(-6))\/(16\/a) and 7\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 107 + 75 - 192 = 0. Solve w*v - 15*v - 40 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 13*l**2 + 425*l - 45. What is c(15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1 and -16239.\nAnswer: -16240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1422626 = -6397*y + 19818*y for y.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27\/574 - -417\/287. Which is the fourth biggest value? (a) t (b) -1 (c) -2\/11 (d) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -675, -13.4?\nAnswer: -675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12061293?\nAnswer: 3, 4020431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 226, 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 13. Suppose -5*h + 27 = -2*h. Let w be a(h). Solve w*t + 28 = 2*b, -37 = 4*b - 7*b + 5*t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1884 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:14 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (140\/15)\/(-3*6\/(-567)). Let z = 156 - 55. Let g = p + z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/9 and 103\/4638.\nAnswer: 13914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025435 is divided by 6449?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 13 - 5 = 0. Suppose 1 = -g*z + 5. Suppose -10 = z*b + 4*j, -5*b - 3*j + 7*j + 31 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s**2 + 28*s + 539 - 28*s - 102 + 320.\nAnswer: -26*s**2 + 757","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**6\/80 - t**5\/30 - 49*t**4\/6 + 4*t**2 + 3*t. Let b(j) be the second derivative of s(j). What is b(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 154771 or 154778?\nAnswer: 154778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 189437*c**2 + 56*c - 405 - 378871*c**2 + 189436*c**2. Give x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, -89, -8, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 20. Let f be r(-7). Let l(t) = 12*t**2 + 103*t + 85. Let v(d) = 3*d**2 + 26*d + 21. Let a(s) = f*l(s) + 26*v(s). Factor a(p).\nAnswer: 2*(p + 9)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -2232?\nAnswer: 89.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3\/3 + 12*j**2 + 23*j + 34\/3 = 0?\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/4)\/5)\/(2\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 13. Suppose -5*o + 3 + 37 = -v, 0 = -o - 2*v - 3. Let r be m(o). Solve -2*y + r = 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**5*z)\/(((z**(-1\/9)*z)\/z*z)\/z)*z**(-1\/6)\/(z*z*z**(-6)) assuming z is positive.\nAnswer: z**(233\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291901347.\nAnswer: 3, 10811161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 53828.\nAnswer: 7\/53828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*n - 15 = 0, 788*f - 790*f + 5*n - 15 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -1299*w + 305*w**2 + 180 + 879*w - 96*w**3 + 5*w**4 + 26*w**3 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1573)*-1)**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1027*s - 9. Let i(x) = -553*x**2 - 5*x. Let z(p) = 332*p**2 + 3*p. Let v(h) = -3*i(h) - 5*z(h). Determine v(r(q)).\nAnswer: -1054729*q**2 - 18486*q - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345115.499999 + -345114. Let z = 1.5 - v. Round z to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/126*(-9)\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1158 and 56458869.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*m**4 + 21727*m + 86715.\nAnswer: -20*m**3 + 21727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 9, 2*j - 4*g - 77 = g. Suppose 270 = 4*o + 26. Calculate the remainder when o is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1481207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 78761000 rounded to the nearest one million?\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (176190251 - j**3 + j**3 - 176190251 - 19996*j**4)*(0*j + j + j).\nAnswer: -39992*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -15. Let p be (5 + -2 - 2)*j. Does 25 divide (-6 - -5)\/(p\/(-25))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1276 and -105\/1276.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -62051045 divided by -132305\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**26*r\/r**(-7))\/(r**21\/r**(-23)) assuming r is positive.\nAnswer: r**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - q**2 + q - 1. Let p(o) = -6*o**3 - 6*o**2 - 10*o - 5. Determine p(t) - 5*w(t).\nAnswer: -t**3 - t**2 - 15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 13*p - 9. Let t(j) = 3*j - 2. Suppose -2*v + 26 = 4*g - 8, 2*g - 5*v = 23. Determine g*t(s) - 2*a(s).\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2 + k - 5. Suppose -3*s + 1 = 2*w + 11, -2*s + 15 = -3*w. Determine m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1419 and 4.2.\nAnswer: -5959.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 14 = -2*p, 0*l + l - 17 = -4*p. Which is the nearest to 2? (a) 0.6 (b) l (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16176 and 24?\nAnswer: 16176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z + 1. Let u(h) = h**2 + 13*h - 3. Let o = 0 - 0. Suppose -2*v - v - 21 = o. What is v*m(w) - 2*u(w)?\nAnswer: -2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - k + 52 - 20, 0 = -f - 5*k + 52. What is the lowest common multiple of 24 and f?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27356 and 224.\nAnswer: 218848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 7*j - 30. Let t(m) = -m**2 - 3*m - 2. Let z(l) = -l**2 - 2*l - 2. What is j*t(r) - 4*z(r)?\nAnswer: r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/60 + 13*j**4\/24 - 484*j**2. Let u(q) = 24*q**2. What is u(b(h))?\nAnswer: 24*h**4 + 624*h**3 + 4056*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + 25?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31541*d**3 + 164*d**2 - 107*d**2 - 57*d**2.\nAnswer: -31541*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**2 - 31. Let m(s) be the third derivative of s**4\/12 + s**2. Calculate z(m(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -899, -1476, -2061, -2654?\n\"Answer: -4*v**2 - 565*v - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1329628207*k**2 - 605869247*k.\nAnswer: -2659256414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3, 7 = o - 4*r + 78. Let w = -44 - o. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2475049 or 2474991?\nAnswer: 2475049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54607455 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m**2*o**3 + 85*m**2*o - 339*m*o**3 - 521*o**3 - 3150*o wrt m.\nAnswer: 8*m*o**3 + 170*m*o - 339*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 4*q**2 + q - 1. Let b be g(4). Factor -b*a**3 + 9 - 4*a + 9*a**2 - 5*a - 6.\nAnswer: -3*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 21*s**2 + 20*s + 4. Let a be d(20). Differentiate -101*l**a + 174 + 2*l + 86 - 197 with respect to l.\nAnswer: -404*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p. Let s(a) = -a**2 - 1. Let o(c) = -3*c**2 + 4. Let v(b) = o(b) + 4*s(b). Give v(x(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b - 1. Let o be n(1). Let i = -2 + 4. Let j be 102\/10 + i\/(-10). Calculate the greatest common factor of j and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 37840396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-246)\/(-369))\/(-4*2\/(-36)). Let x(u) = -u**2 - u + 7. Let s be x(0). Solve -8 = s*r - c*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -93\/496342?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-7) + 44\/5*(-72)\/1008.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -269?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/14 + 30\/(-21)*-145. Let y = z - 181. What is the remainder when 127 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -732 - -715. Which is the closest to y? (a) 0.1 (b) 1\/4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -w + 5*w. Suppose -s = 2*s - w. Suppose 2*p - s*y - 9 - 11 = 0, p = 3*y + 4. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -13, 3 in decreasing order.\nAnswer: 3, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17867812 by 4466953.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*j + 365, -q - 3*j + 0*j + 93 = 0. Let m = 110 - q. Calculate the remainder when m is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**4\/24 - 3*q**2. Let s be x(-3). Suppose 0*z + s*j + 164 = 2*z, 0 = -z - 2*j + 96. Does 32 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = -5*l. What is the first derivative of 8*u + 8*u**4 - l + 2*u - 10*u wrt u?\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 4, 26 in decreasing order.\nAnswer: 93, 26, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -54?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*u**2 - u**2 + 4*u**2 as k + v*u**2 + a*u and give v.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -663*q**5\/5 - 17*q**4\/12 - 47*q**2\/2 - 2210*q - 2. What is the third derivative of z(u) wrt u?\nAnswer: -15912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/43? (a) 1 (b) 0.05 (c) 20 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -187 times 5\nAnswer: -935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3800) + -2*(sqrt(3800)*-1 + sqrt(3800))))\/(5*-3*(sqrt(22)\/sqrt(176) - sqrt(2))).\nAnswer: -16*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 13. Let b(g) = 2*g - 13. Calculate 3*b(i) - 4*s(i).\nAnswer: 2*i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-343)\/2 - -2) + 7. Let f = -160 - z. Let w be (-2)\/(-8) - 58\/40. What is the closest to -2 in f, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297390 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 13 - 19)*(-11*b**4 - 9*b**4 + 8*b**4).\nAnswer: 540*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b - 45. Let r = -529 + 538. Let i be u(r). Solve -6*w = i + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*x - 28. Let u(y) = -y**2 + 5*y + 2. Determine u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1543, -1611, -1673, -1729, -1779?\nAnswer: -1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/5 - 137014*g**2\/5 + 469279798*g + 1408086030 = 0. Calculate g.\nAnswer: -3, 34255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993 is divided by 490.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112002221200120 - -11?\nAnswer: 112002221200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 582177274 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386 = 3*t - 119. Let g = 359\/4 + t. Determine n so that 1\/4*n**3 - g*n**2 + 3\/4*n - 1\/4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*6\/(-144))\/((-10)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1008*t - 1008*t + 452 + 2*t**2)*(5*t - 4*t - 3*t) + 2 + t**3 - 2 + 2*t - 2*t - 2*t**3 + (-2*t + 3*t - 2*t)*(5*t**2 - 4*t**2 + t**2).\nAnswer: -7*t**3 - 904*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 6 + (-2 - -3))*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2. Let t(n) = 6*n**2 - 5*n. Let d(p) = -12*p**2 + 9*p. Let i(r) = -3*d(r) - 7*t(r). Calculate j(i(m)).\nAnswer: 72*m**4 - 192*m**3 + 128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1596 + 93*t**2 - 2*t + 1984 - 244 with respect to t.\nAnswer: 186*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 minus 104.43450558?\nAnswer: -464.43450558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338561259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6 + 13*w**2 - 40*w**2 + 11*w + 11*w**2 + 17*w**2 + 18 + 0*w. Let r = 5 - 2. Suppose -2*l = 4*q + 44, r*q = 2*l + 3*l - 20. What is u(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, and 1 y when three letters picked without replacement from zvdtydf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 114*h**2 - 16*h + 1035. Give f(114).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrgrrrrrrrzre. Give prob of sequence rez.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9339 is divided by 3106.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5857 + 6257. Which is bigger: p or 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 78. Let y = 62112680 + -62112711.0000046. Let b = y - a. Round b to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -90. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-75)\/10)\/(6\/(-80)). Let q be (3\/2)\/(3\/t). Suppose q = 5*x - 80. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/168)\/((-48)\/(-5112)) and -61\/2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h - 135. Let n(a) = -21*a - 141. Let q(r) = 5*l(r) - 4*n(r). Let c(k) = 41*k. What is q(c(g))?\nAnswer: -41*g - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-72))\/((-5)\/(30\/(-8))).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 6) to base 12.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 9, 4895 in ascending order.\nAnswer: 9, 15, 4895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -167. Let i = x - -52. Sort i, 4, -3 in descending order.\nAnswer: 4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -0.9. Let z = 0 + p. Let i be -4*((-15)\/(-4))\/(-3). Which is the second smallest value? (a) z (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:28 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1144893 and 1144893 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*v - 477 + 18. Let s(a) = a**2 + 8*a + 13. Let o(c) = 2*c + 3. Determine v*o(i) - 2*s(i).\nAnswer: -2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 - 5*v**5 + 23*v**2 + 17*v**2 + 15*v**3 - 15*v**2 + 16*v - 6*v.\nAnswer: -5*v*(v - 2)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4054 is divided by 504?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31934815 is divided by 227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 25. Let k be 1 + (1 + -5 - -2). What is the nearest to 0.1 in i, 2\/3, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703588.\nAnswer: 2, 175897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -504, -719, -934, -1149, -1364, -1579?\nAnswer: -1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-21) - 3) + (-63)\/(-21). Let h = -3.04 - -3. Which is the third biggest value? (a) h (b) r (c) -1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10012662*r**3 - 4066409?\nAnswer: 30037986*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {h: 3, k: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/1495 and 191\/7800?\nAnswer: 179400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -450 - -461 - (100 + (-1 - -2) + -4)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16542 - 16541.971942. What is d rounded to 3 decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*j**5 + 1393*j**4 - 8*j**3 - 200*j**2 - 2*j + 21966 wrt j?\nAnswer: -1980*j**2 + 33432*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 448, 1, -4, 70, -15, -5 in descending order.\nAnswer: 448, 70, 1, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*776\/16 - (-4 + (-108)\/(-24))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8700021446?\nAnswer: 2, 23, 5573, 33937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2207 + -1018. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 93, 104, 131, 180, 257, 368, 519?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*r**3 + 67*r**3 + 61*r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 10*j**2 + 21*j - 2. Let g be o(-4). What are the prime factors of (-1)\/(g\/(-1936)) + (-22)\/(-55)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -207*b + 203. Give y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98735 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -46466208 divided by 1\nAnswer: -46466208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r + 5*a + 11, 4*a = 5*r - 19. Solve -r*g + 0 + 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2268672 and 404698?\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**7\/42 - 4*w**6\/15 - 32*w - 28. Let v(a) be the first derivative of n(a). Suppose v(p) = 0. What is p?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 173 = 3*c, 5*o - 3*c - 413 = -2*c. Let a = o + -47. Let u = a - 29. Solve -3*y + u = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26395.\nAnswer: 5, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:49 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*sqrt(171) - (4*sqrt(19) + 1))**2 - ((-2*-1*sqrt(190))\/(sqrt(10) + 1*sqrt(640)))**2).\nAnswer: -4*sqrt(19) + 6080\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*y - 11, -2 = -4*o + 4*y + 18. Suppose -3*j - 4*u + 2915 + 14370 = 0, -5*j = 4*u - 28795. Suppose j = o*w - 4*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 50\/425 + 49568\/(-255). Let h = -194 - d. Factor -2\/5*t + h*t**2 + 0.\nAnswer: 2*t*(2*t - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-45)\/3 + (-14)\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/8780 and 25\/12292.\nAnswer: 61460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -30. Let r(o) = -o + 6. Let g(p) = 4*p - 25. Let c(n) = 2*g(n) + 9*r(n). Calculate c(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 0, 138*r = 135*r - 3*n + 264. What is the remainder when 243 is divided by r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*p**4 - 529*p**3 + 175769*p wrt p?\nAnswer: 672*p**2 - 3174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and (-5828)\/(0 + -2) + 40 + -32?\nAnswer: 5844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlukjwlwkwktlwt. Give prob of sequence jukw.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/6 + (-4)\/(-12) + -4.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74.83 and -5328?\nAnswer: 5402.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 123*z - 841. Determine g(8).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (47*-1)\/(5\/(-5)). Suppose 5*x + 4*o - 204 + s = 0, -x + o + 35 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 2}. Give prob of sequence ye.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 585787303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 158936?\nAnswer: 15893b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9\/r*r*r*r**(-2))\/(((r*r**(-5\/6))\/r)\/r*r*r**(5\/6)\/r) assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkkm. Give prob of sequence mmk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 234?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 26. Let s be (l\/(-4))\/((-10)\/20). Let x(b) = 3*b**4 + 18*b**3 + 44*b**2 + 36*b + 12. Let g(d) = d**2. Let w(y) = s*g(y) + x(y). Factor w(h).\nAnswer: 3*(h + 1)**2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3975 (base 10) to base 15.\nAnswer: -12a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 + 214.03. Let w = 0.03 - r. Let m = w - 6. What is the second biggest value in -0.1, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 40173324*t + 134491330100748.\nAnswer: 3*(t - 6695554)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121172*-0.03.\nAnswer: -3635.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53622872 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 201.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466479840 a multiple of 6741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -193176 divided by -21464?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-62) - (73 + 433368\/(-5952)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -488\/7. Let p be 16\/1292 + 10\/95. Which is the nearest to -1? (a) p (b) -0.01 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7088 + 0.4088. What is the nearest to 0 in z, -1\/3, 3\/55, -1?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 860 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 > 1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + a**5 - 4*a**5 + (0*a**4 - a**4 + 3*a**4)*(282*a + 195 - 195).\nAnswer: 562*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0 + 3)*114\/60 + 1. Factor 0 + 48\/5*g**2 + f*g**3 + 32\/5*g + 4\/5*g**4.\nAnswer: 4*g*(g + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229334681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1806346281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 368b8 (base 14) in base 8?\nAnswer: 404502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1546689888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = 7. Let r be (-1)\/(m\/4 + -3). Suppose -5*q + 4 = -r*b, b = 6*b + 5*q - 40. Calculate the highest common factor of b and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + 0 - 26)\/2 + 2. What is the tens digit of ((-111)\/(-20) + p\/12)*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 2*h**2 + h**2)*(-2 + 1 + 0)*(2 + 1 + 4)*(1 + 2 - 2).\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2166 + 4185. List the prime factors of w.\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13812388.98 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3)\/((-121)\/(2019732\/(-749)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.067 (b) -4 (c) -3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-6888)*-8)\/((-10)\/20)?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -226293 at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/894 and 40\/189?\nAnswer: 56322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b = 24*b - 325. Let i(d) = -5*d + 4. Give i(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (4 + -1)*1\/3. Suppose -249 = -3*k + 5*h, -c*k + k + 5*h + 405 = 0. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 u when three letters picked without replacement from uqqqwqqqoweqeuouuaq.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9774433 divided by 6?\nAnswer: -9774433\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 8 = 5*l, -2*j + 4*j - 26 = 5*l. Suppose 8*f - j*f + 25 = 0. Let w be 2\/(-2)*0\/2. Sort w, 5, f.\nAnswer: f, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -10. Let n = 6.2 + m. What is the third smallest value in -1\/3, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 84289 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 13*z = 8092. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4 + 12 = -2*f, f + 4 = -5*b. Suppose 2*z = -2, -o + 3*z + 6 = z. Solve b = -o*q + 8 + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-1)*o**(-1\/4))\/(o**0*o**(1\/2)*o) assuming o is positive.\nAnswer: o**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 685*z + 1355*z + 4 - 3 + 1 - 673*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.79 + -0.96. Let l = i - -0.35. Let m = 2.6 - l. Which is the biggest value? (a) 0 (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -132477, -264946, -397415?\n\"Answer: -132469*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y + 5*y + 0*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1294.0651 + -1294. Let r = -5.9349 - s. Which is the third biggest value? (a) -0.6 (b) -3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 20. Solve -c = -l*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*w**3)*(4 + 3 - 5) + (3*w - 2*w - 2*w)*(-8*w**2 + 3 - 3) to h*w**2 + z*w + a + o*w**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*j**5 - 46170*j**4 + 92556*j**3 - 61746*j**2 + 17157*j - 1716 = 0. Calculate j.\nAnswer: -572, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from ryyrrsyrryyrryrrr.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76892616, -76892606, -76892590, -76892568?\n\"Answer: 3*n**2 + n - 76892620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:09 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 + 8*s + 20. Let p(n) = -3*n**2 - 4*n - 11. Let w(u) = -6*c(u) - 11*p(u). Let k(l) = -16*l - 195. Let a be k(-12). What is w(a)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 5*m**2 + 5*m + 9. Let a be u(6). Let s(g) = -17*g + 2. Let r(y) = 19*y - 2. Let w(d) = -6*r(d) - 7*s(d). Give w(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 20*i**3 + i**3 + 2*i**3.\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 + 5*z**4 + 3*z**4 - 3*z**3 + (3 - z**2 - 3)*(0*z**2 - 2*z**2 + 0*z**2) - z**4 - 3*z**4 + z**4.\nAnswer: 7*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus 0.48?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16012, 31841, 47670, 63499, 79328?\nAnswer: 95157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46\/10 + -3*8\/(-60)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.023 - -5.977. What is the nearest to 0 in 0.4, j, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*-1 + -2 - (35 + -85 - -33). Let v = 2.5 + -2. Let h = 2.5 - v. What is the third biggest value in -0.2, h, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -313\/9. What is the third smallest value in -2, 0.02, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2212 (base 10) to base 16\nAnswer: -8a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 47*q**7\/70 + 15*q**4\/8 - q**2 + 25*q. Find the second derivative of u(k) wrt k.\nAnswer: 1692*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -280*h**2 + 63*h. Let d(i) = 3*i**2 + 31*i - 238. Let u be d(7). Let a(r) = -9*r**2 + 2*r. Give u*a(p) - 4*t(p).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 41*t**2 - 278*t - 60. Let i be v(7). Put -2, i, 2663 in ascending order.\nAnswer: -2, i, 2663","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64284 and 702?\nAnswer: 7521228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/606 and 16\/505?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 21, 15, 7, -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 188*t**2 + 1. Let d(w) = -3*w**2. Calculate d(r(b)).\nAnswer: -106032*b**4 - 1128*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414731.\nAnswer: 414731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2751*f**2 - 418*f - 831. Let r be v(-2). What is the highest common divisor of 109 and r?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*z - 167*z = -190. Sort 10, z, 28, -4\/9 in decreasing order.\nAnswer: 28, 10, -4\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 231*a - 273*a - 12*a in the form h + m*a and give m.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-5 - (2 - 15)) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000101010000011 - -1010?\nAnswer: -11111000101001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 13\/12*j**4 + j**2 - 1 + 40*j + 17\/6*j**3 + 1\/10*j**5. Find the second derivative of q(p) wrt p.\nAnswer: 12*p + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 3)*(4*n + 18*n + 48*n).\nAnswer: -420*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 17 + -19 + 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*i + c, -4*c + 18 = 4*i - 6*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0*m - 1\/20*m**5 + 0*m**4 - m**2 + 0 + 0*m**6 + 0*m**7 + 0*m**3 + 1\/112*m**8. Find the third derivative of c(a) wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(125) + -1*sqrt(125) - sqrt(125)) + (sqrt(125)*1 - sqrt(125)) + 3 - (1 + 2 + sqrt(125) - -2*(sqrt(125) + -1))) + 4)**2*2.\nAnswer: 240*sqrt(5) + 1072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1266804*c**3 - 2*c**2*f**2*u**2 + c*f*u**2 + 30*c - 25*f**2*u - 126*u**2 wrt c?\nAnswer: -7600824*c - 4*f**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/20 - n**4\/12 - 5*n**3\/6 + 3*n**2\/2 + n. Let x be b(3). Let u be (-9)\/x*8\/(-6). Sort 5, -1\/2, u.\nAnswer: -1\/2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 15*p**2 - 17 + 17. Let y be b(-1). Suppose 5*s - 6 = y. Solve -2*z + s = -0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 761. Let c(k) = 3*k**2 - 1520. What is -3*c(m) - 5*x(m)?\nAnswer: -4*m**2 + 755","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 19*u + 1680 = 0. Let l = u - 169. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 78?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 649a77 (base 11) to base 6\nAnswer: 34130115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77 and 1580.24?\nAnswer: -121678.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 295860 + -6.16\nAnswer: 295853.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fulfrlbtlbf. Give prob of sequence lfbf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 441\/2 (b) 1\/6 (c) 4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = -4*x, 8 = 3*x - 2*x - 2*i. What is the third smallest value in x, 7, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 12 + -16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = 4*a, 4*c - 19 = -6*a + 5*a. Solve -a*t + 0 = -0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.22617 + -11.\nAnswer: -14.22617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 20. Let n = 5 - 3. Suppose b*s - 32 = -5*z, -n*s = -s - 2*z + 4. Solve -13 = s*c - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -97\/5, 0, 26429, -2\/7, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*d - 8*d - 2*m, 0 = d + 60*m - 621 + 81 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) + (-3)\/5. What is the tens digit of n + -2 + 16 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 3, n: 5, g: 2, c: 7, i: 1}. Give prob of picking 1 g and 2 j.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(44\/(-11)*(-249)\/(-12)).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -239f (base 16) to base 10\nAnswer: -9119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 - 63*o + 13. Let k(m) = m**2 + 22*m - 4. Let i(p) = -4*a(p) - 11*k(p). Calculate i(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -253\/5. Let u = -0.8 - -0.3. Put -4\/11, f, u in ascending order.\nAnswer: u, f, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -3070820.\nAnswer: 3070817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1348 divided by 674\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 381202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58287, -58278, -58269?\n\"Answer: 9*b - 58296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4851 and 602415.\nAnswer: 29518335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.29, -154?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*o + 2157, -2*o + 977 + 645 = 3*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4588 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2215 - -38a85?\nAnswer: 36870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1169 + 1167. Put 29, b, 10 in descending order.\nAnswer: 29, 10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-4)*(-12 - 0). Let z be (-1 + 14\/6)*(-12)\/(-8). Suppose -2*n - z*j - t = -6*n, -3 = -n - 3*j. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175 + -188. What is the closest to f in 1\/9, 2, 1\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/9, -8, 3\/7, 0.05?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*h + 29 + 15*h**2 - 152*h - 27 + 17*h**2.\nAnswer: 32*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from gbbohggbaghaago?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 12*u + 22. Give b(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/3 - 42713*q**2 + 1368278920*q + 4104964900\/3 = 0. What is q?\nAnswer: -1, 64070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-8))\/(54\/648))\/(15\/(-50)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2. Let w(s) be the second derivative of -2*s**3 - 23*s. Calculate m(w(f)).\nAnswer: -576*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 77*l**4 + 128*l**4 - 2*l + 6*l**2 - 48*l**4 - 11 + 0*l in the form y + s*l**3 + h*l + p*l**4 + k*l**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - l**2 + l + 9. Suppose 2*s = -2*s. What is the smallest common multiple of q(s) and 1 + (4 - 2) + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {p: 5, k: 11}.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -120*w**3 + 9*w**2 - 147*w + 135. Calculate y(1).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2287 + 329*y**3 - 35 - 2252.\nAnswer: 329*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 317438 and 172678.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299 - 128. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/((sqrt(16) + sqrt(1600) + sqrt(16) + sqrt(16))\/sqrt(4)) - 6*(sqrt(18) + 3).\nAnswer: -233*sqrt(2)\/13 - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12294545, -12294542, -12294549, -12294572, -12294617, -12294690?\nAnswer: -12294797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1244 less than 119482663987?\nAnswer: 119482663986.8756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-37)\/j**41)**(-46) assuming j is positive.\nAnswer: j**3588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5743*r + 1683?\nAnswer: 5743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 244241471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5509927 + -5509791.00021. Let g = -136 + x. Round g to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -23*s**4\/6 + s**3 - 33*s**2. Let q be r(-1). Let k = q - 88. Solve -4*n = 0, 6*m - m + n - k = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447125*z**2 - 894964*z**2 + 447839*z**2 + 22*z**3.\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/15*(6 + -1). Suppose 3*x - 3 = 0, z - 2*x + 0 = -2. Solve s*m + 2*m = z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16))\/((-9549)\/(-2597328))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 625463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 55*t**2 - 131*t + 12. Let a(d) = 11*d**2 - 26*d + 2. What is 11*a(c) - 2*w(c)?\nAnswer: 11*c**2 - 24*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*w**(1\/12)*(w*w\/(w*(w\/(w\/w**(-7)))\/w))**(-30))**(-1\/6) assuming w is positive.\nAnswer: w**(16183\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -52*2*1\/(-4). Let l = -282 + 169. Let r = -9 - l. Calculate the greatest common factor of x and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-18))\/(7\/(-3)) - (-96)\/(-84)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 408, 612, 822, 1044, 1284, 1548, 1842?\nAnswer: 2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 3*w + 1. Let r be k(-8). Suppose 3*m = 2*b + 8*m - 5, 3*m = -5*b + r. Suppose -b - 26 = -y. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3280 = -3*u, -4*u = -3*o + 2*o - 4367. Let t = -714 + u. Calculate the highest common factor of 27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -41*v**2 + 7*v + 7. Let g(r) = 20*r**2 - 3*r - 3. Determine 7*g(l) + 3*j(l).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12020 - -150?\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29240, -29237, -29234?\n\"Answer: 3*x - 29243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and -30108764768516.\nAnswer: -30108764768509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42395803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18774, 37549, 56324?\n\"Answer: 18775*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**4 + 22*s**4 - 10*s**4.\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.00000075 - -1. Round t to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 2:04 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -115*d**3\/3 + 2*d**2 + 2*d + 55. What is the second derivative of n(u) wrt u?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*t - 6, -26 = -2*f - t - 29. Suppose f = m - 3*c, 3*m - 8*c = -6*c + 28. Calculate the remainder when 42 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450302 divided by -61\nAnswer: -7382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158 - -262. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.498 and -30?\nAnswer: 31.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2353*h**3*s + 9*h**3 + 4*h**2*s**3 - 6*h*s**3 - 2*h*s - s**3 + 54*s - 1 wrt h?\nAnswer: -14118*h*s + 54*h + 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 73. Let b(x) = -13*x - 9. Let c be b(i). What is the greatest common divisor of 45 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = -3*i. Suppose -1668 = p + i*p. Calculate the common denominator of 37\/9 and (p\/(-8))\/((-27)\/(-12)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + w**4 - 4 + (3*w**2 - 4*w**2 + 4*w**2)*(w**2 - 3*w**2 + 0*w**2) - 2*w**3 + 2*w**3 + 3*w**4)*(2*w - 2*w - 2*w).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/21270920 and -6\/385535425?\nAnswer: 3084283400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifths of a decade?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-14)\/6)*28\/16\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 126, -1, 2, -3.\nAnswer: -3, -1, 0, 2, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -44065742?\nAnswer: -17626296.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 2*c + 0*c - 4*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - l. Let u(h) = h**2 - 6*h - 5. Let z(g) = -3*n(g) + u(g). Let s be z(-2). What is the highest common factor of 34 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2419 rounded to 1 dp?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(-4*t**2 - t + t) + 2*t**2 + t - t.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(((-5)\/156)\/((-965)\/579))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*v - 31. Let z(l) be the second derivative of 1\/4*l**v - 7\/6*l**3 + 0*l**2 + 5*l + 0. Find the second derivative of z(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c + 217. Let w be l(19). Solve -5*o = -3*x - 4 - 26, -x = -o + w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3 + 3 + (1 - v - 1)*(-1 - 3 + 5))*(-4 + 4 + 2*v) + 0*v + v**2 + 0*v.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -99, 2 in decreasing order.\nAnswer: 2, 0, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Suppose l + 12 = -y*s - s, -5*s - 3*l = 66. Let a be 7\/s + 4\/(-20). Is a >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 108 = -8*q. Suppose 13*z - q*z - 128 = 0. What is the highest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*z = 15, -3*z + 20 = -4*o + 3*o. Let r = 5 - o. Solve b - 3*b = -r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*s - 11 + 10 - 30*s)*(-2 + 4 + 2*s - 4).\nAnswer: -86*s**2 + 84*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 1\/2)*8\/(-10). Let j(a) = -12*a - 15*a + 27*a + w*a**2. Let n(b) = 4*b**2. Calculate j(n(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 0 + 48\/12. Solve -7*k + 2*k + b + 10 = 0, -28 = -k - j*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890237 is divided by 1203?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (23 - 40 - (2 + -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k - 1043 + 130 + 183 + 730.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 5*o - 3. Let m be q(-6). Let i(d) be the second derivative of 1\/3*d**m - 7\/2*d**2 + 0 + 4*d. What is i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*u - 42700 = -314*u for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 359.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21653267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i - 5. Let f be w(-8). What is the highest common divisor of f and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1099*q - 1109*q - 60 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5, -654 + 2286 = 2*n + 4*v. List the prime factors of n.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 152509898?\nAnswer: 152509898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjb when three letters picked without replacement from {b: 4, j: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-20) - 142454\/(-12). Let t = -11878 + w. Find the common denominator of t and -5 + 3\/((-24)\/(-236)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.5584 times 20\nAnswer: -311.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/2, -9, 172\/137, 3\/5 in descending order.\nAnswer: 3\/2, 172\/137, 3\/5, 0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20883 - 20873. Let x(t) = -t**2 + 11*t + 6. Give x(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**3 + 2*v**3 + 2*v**3)*(-76*v - 133*v - 90*v).\nAnswer: 299*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69917 is divided by 457?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1130533283 to the nearest integer?\nAnswer: 33623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:06 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007491 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9718 + 9717.3346. What is o rounded to 2 dps?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/10 - 149\/6. Suppose 110 = 2*r - 7*r. Let s = r - t. What is the second biggest value in s, 4, -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*q**2 + 2 - 9*q**2 - q - 3)*(-3 - 2 + 2)*((0 - 2 + 4)*(-4 + 6 - 3) - 6 + 4 + 0 - 31 + 65 + 205) to the form t + p*q**2 + s*q and give t.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*t**2 - 410*t**2 - 413*t**2 + 1248*t**2.\nAnswer: 23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + (-135 - -62) + 82.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*h = -217*h - 18 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s + 14. Let g(j) = -2*j. Let t(p) = c(p) + 3*g(p). Give t(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -599275364 plus -19?\nAnswer: -599275383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or 21002\/3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39835 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 776, 301, -160, -601, -1016, -1399, -1744?\n\"Answer: b**3 + b**2 - 485*b + 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) 2\/15 (c) 359 (d) 4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**(-1\/24)\/(w\/w**(-4\/3))**(-9) assuming w is positive.\nAnswer: w**(2267\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - (-103)\/7. Let u(g) = 2*g**2 - 4*g + 1. Let v be u(-3). Let m = v - w. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232\/(-6)*(-231)\/308?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38*(-11)\/110*8\/32*-4\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032581 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 h, 1 r, and 1 t when four letters picked without replacement from {z: 2, t: 4, r: 1, c: 1, h: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*l - 129, -3*r - 3*l = 2*r - 141. Let i be (-2)\/(-5) + 2733\/5. Let h = i - 304. What is the greatest common divisor of h and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2*-2)\/(15\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 4*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9094405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 285125 and 179868.\nAnswer: 464993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3096821*h - 842453.\nAnswer: 3096821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28471 + 28470.9999953308. What is f rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2218.3 times -0.2?\nAnswer: 443.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 7. Let c be 6\/(-6*(-2)\/z). Is c\/(-9) - 400\/(-12) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 7*q - 2*q + 82, 2*q + 4*d + 36 = 0. Calculate the lowest common multiple of 24\/q*8\/(-6) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3114 divided by -9.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y. Let j be k(-1). Suppose j = 2*a - 0. Suppose 0*f - 3*f = -a*x - 63, 0 = -2*f - 5*x + 7. Calculate the remainder when 31 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-10) + 9*(-1)\/15. Solve -3*z = -4*h + 24, 2*z = -h - m - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/5)*j)\/((j\/j**(-3\/7))\/j))\/(j**(-5\/6)\/j**(1\/2))*(((j\/((j**(-1\/3)\/j)\/j)*j)\/j)\/j*j*j*j*j*j\/j**(1\/11))\/(j**(1\/3))**(2\/9) assuming j is positive.\nAnswer: j**(100552\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 630 + -630. Let r(p) be the first derivative of p**5 + 0*p**2 - 2 + 0*p**4 + 8\/3*p**3 + x*p. What is the third derivative of r(d) wrt d?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*i**2 + 8*i**2 + 7*i**2)*(-1 - 1 + 0)*(4*i - 2*i + i).\nAnswer: -192*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*v - 518 = 3712 + 2871 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q + 4*q + 3*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(0 - 1) + 1. Suppose 0 = -f*l - 0*l. Suppose l = 5*y - 5 - 10. What is the greatest common divisor of y and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 + 1864770*w**3 + 8747562*w wrt w?\nAnswer: -24*w**2 + 11188620*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, -5.7, -3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 + 4*f**2 + 5*f**2 - 4.\nAnswer: 9*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6 + 5*p + 2*p - 8*p. Let a be x(-9). Solve -5*z + a*z + 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2\/11*p**2 + 0 + 12\/11*p = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (328\/1640)\/(7\/7*(-3)\/90*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3600 + 234*o**3 + 233*o**3 - 661*o**2 + 661*o**2 - 3600.\nAnswer: 467*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 + 894*k**2 - 215328*k - 6150144 = 0 for k.\nAnswer: -448, -26, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119497.\nAnswer: 7, 43, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -4*z + 61, 11 = -i - 2*z + z for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -23) + (5 - (18 + (-7 - 11)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*g*t**3 + 7*g*t - 1999*t**3 wrt g?\nAnswer: -27*t**3 + 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2610? (a) -1 (b) 17 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -90*w**2. Let i(y) = -39*y**2 + 1. Calculate i(g(z)).\nAnswer: -315900*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23433*o = 23450*o + 833 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 8 + 4*s + s**2 + 10 - 2*s**2. Let b(v) = -4*v**2 + 5*v + 2. Let y(x) = -2*b(x) + 3*w(x). Calculate y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41237*y + 518 - 518 + y**3.\nAnswer: y**3 + 41237*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 2*k**5\/15 - k**4\/12 + k**3\/3 + k**2. Suppose 2*b + 146 - 148 = 0. Let n be t(b). Solve n - 3 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.4417 or 0.02?\nAnswer: -3.4417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 + 1374567*i - 5498276.\nAnswer: (i - 4)*(i + 2749138)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 2, -17, -48, -97?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqyyroj. What is prob of sequence or?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1035 and 59409.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 96*q**2 - 82*q + 1171. Determine x(-95).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18503496 by 132.\nAnswer: 140178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11*o - 131. Let q = 397 - 409. Let a be n(q). Solve 9 + a = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 34*d**2 + 95*d - 19. What are the prime factors of w(31)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 65 + 55 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -0*h + 1152. Suppose 0 = 3*z + 42 - h. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/47 and 7\/6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -229, -237, -259, -301, -369, -469, -607?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1960*r**2 - 1611*r.\nAnswer: -3920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.06 + 3.06. Which is the nearest to -1\/3? (a) l (b) 0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -14. Let i(h) be the first derivative of m*h + h**2 - 3*h + 5 - 4*h**2. Find the first derivative of i(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -195044 and -190042 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -391*y - 786. Let i be f(-2). Which is the fourth biggest value? (a) 1\/19 (b) -3 (c) -1 (d) 4 (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-2\/47))\/q)**(38\/5))**(-1\/4) assuming q is positive.\nAnswer: q**(-19\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 76137 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59647\/11 greater than or equal to 5423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/1 - 4\/2. Let p(d) = -d**2 - 4*d - 43 - 16*d - 20. Let s be p(-15). Solve f*i + i = -s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.58 rounded to zero dps?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 124204013 (base 5) to base 6\nAnswer: 21112245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 216*o - 209*o**3 - 113*o - 103*o - 135 wrt o.\nAnswer: -627*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 338 = 60*q. Let a(n) = -5*n. Calculate a(q).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -3, -0.2, 5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45612 divided by -3258\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (5 + -1)) + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17644653 and 36567.\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -241*z + 260 + 523 + 181 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(73 + -87) + (-2)\/(58\/(-31))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 plus -851?\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325.603 - 3.803. Let g = v + -277. Round g to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 129, -1, 3\/2, 11, -2\/13?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3958 - 988. List the prime factors of x.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 23*q - 9. Let z be x(-3). Let g = 117 + z. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4 - 3 + 1 + 2*p + 0. Let z be r(0). Find the third derivative of -11*l**z - 15*l**5 + 3*l**3 + 0*l**2 - 3*l**3 wrt l.\nAnswer: -900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + (-242 + 234 + (3 + -1 - -3) - 2).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.96 + -0.04. What is the nearest to 0.1 in -0.1, 5, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2022?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14831?\nAnswer: 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 216839133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 208*n*r**2*u**3 - 137*n*u**3 + 60537*r**2*u**2 + 54*u**3 wrt n?\nAnswer: 208*r**2*u**3 - 137*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-4)*11136\/(-6496)*(-12)\/18.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-290)\/260 + 1\/(-1). Let v(b) be the first derivative of w*b**4 - 4\/13*b**2 + 8\/13*b - 98\/39*b**3 - 2. What is f in v(f) = 0?\nAnswer: -2\/7, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - 4560\/(-132)) + (-8)\/6*(-129)\/(-33)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41607.\nAnswer: 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 151*y**6\/30 + 22*y**3\/3 - 5*y**2\/2 - 4*y + 5. What is the second derivative of p(m) wrt m?\nAnswer: 1812*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 366 and 403095.\nAnswer: 49177590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:48 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 + 50 = -3*s - 4*o + 89, 5*s = 2*o - 62 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {m: 1, f: 1, x: 5, y: 3, u: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*u + 23, 3*v = 2*u - u + 11. Suppose -291 = -v*a - a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75890956 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 17. Let r(n) = 26 - n**t - 3*n**2 - 26. Let a(d) = -2*d**2. Determine r(a(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3135365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5)\/(((-7)\/6)\/((-140)\/1020) + -7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(528) - sqrt(528)*-2)\/sqrt(12))\/((sqrt(16) + 2*sqrt(1024))\/sqrt(4)))**2.\nAnswer: 891\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9583 + 15272 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqr when three letters picked without replacement from arkrfakfanqf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10)\/(s*s**(-9)))\/(s**2*(s\/s**(1\/6)*s*s)\/s) assuming s is positive.\nAnswer: s**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 710392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -53942.4*-0.567\nAnswer: 30585.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**3 - 2*j**2 - 410. Let d(g) = 23*g**2. What is d(u(w))?\nAnswer: 207*w**4 + 552*w**3 + 368*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*(sqrt(425) + (sqrt(425) - 2*sqrt(425))) - ((sqrt(425) + 2 - sqrt(425)) + sqrt(425))*-2))**2.\nAnswer: 80*sqrt(17) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p, x + 9*p - 6 = 6*p - 2*p. Solve -689*m = -691*m + x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i - 25. Solve 3*m - 23 = -4*u, 3*m - i*u = 5*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/39)\/((-23)\/(-69))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106548972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**3 - 273*m**2 - 8280*m - 83700 = 0?\nAnswer: -31, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(102)\/sqrt(6) + -5.\nAnswer: -5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378798879 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 - 2137363?\nAnswer: -2137383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 6*g**2 + 6*g - 3. Let q be a(-4). Let j(r) = -q*r**3 + 6*r**3 + 237 - 43*r**2 - 2*r + 41*r**2. What is the tens digit of j(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.16 + 0.84. Let b = -10.000184 + g. What is b rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + k = 3*f - 19, -2*k - 14 = -2*f. Let p be (-8)\/(9\/f - 1). Let o = p + 107. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118525, -118523, -118519, -118513?\nAnswer: -118505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*n - 12 = 4*m, -2*m = -3*n + 7. Let w be m - -2 - (-1 - -1). Let c = 181 + -181. Solve -w*g - 4 = -v, c*v = -5*v + 2*g + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Suppose -2*i = 4*l + 2, 0 = 2*l - i - 1 - t. Let w be (-1 - -6)\/(0 - l). Which is the closest to 0? (a) 0 (b) w (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122142042 (base 7) to base 9\nAnswer: -15386153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*f - 201 - 8045 = 0. Solve -138 = v - f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 29*o**2 - 12 + 0 in the form l*o + v*o**2 + n and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (16 - 19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -16683608?\nAnswer: -16683614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -46*k**2 + 60*k**2 - 20*k + 20*k. Let y(j) be the third derivative of -j**5\/12 + 2*j**2. Determine y(i(w)).\nAnswer: -980*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 3, -1.52, 2\/113, 0 in decreasing order.\nAnswer: 3, 0.12, 2\/113, 0, -1.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 6*n - 1. Calculate o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {g: 1, l: 1, x: 1, b: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*n - 87. Solve -2*i = i + n, i + 2 = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*o + h, 0 = 2*o + 5*h + 7 + 4. Suppose 8*b = 6*b - 2*q + 8, 2*q = o. Solve -7*m + 4 = -b*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**4 + 222*i**3 + 223*i**2 + 2*i - 2. Let s(k) = k**4 + k**3 - k**2 + k - 1. Let m(g) = q(g) - 2*s(g). Let m(j) = 0. Calculate j.\nAnswer: -1, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -9. Is (-4029)\/(-4) + l\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12*n + 10 = 14*n, -20 = 2*h - 4*n. Suppose -4*v = -14*v + 200. Solve h = 2*d + 3*d + v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 1365. Let v be m(0). What is the common denominator of (-264)\/(-16)*(-3 - -1) and 4\/(-26) + (-1)\/(v\/1510)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 62*s**3 - 4*s**2 + 16*s - 4. What is the units digit of r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 - (-12 - (-82156)\/(-14)). What is p rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0806655376 rounded to four decimal places?\nAnswer: 0.0807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h. Suppose 0 = 2*o + 2*y - 2, o - 25 = 6*o - 5*y. Let n be (70\/21)\/(o\/(-3)). Sort 2, n, h in descending order.\nAnswer: n, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**3\/3 + 327*a**2\/2 + 328*a + 783. Factor l(v).\nAnswer: -(v - 328)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 217619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 688307 and 10407649.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7220602 is divided by 7220592?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2154, -2147, -2136, -2121, -2102?\n\"Answer: 2*l**2 + l - 2157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*m = 0, h = -2*m + m + 1. Let p = 2 - 1. Let w(y) = -p + 2*y**3 + 0*y**3 + 4*y**3. Determine w(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b + -4?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 less than or equal to -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -1\/18*p**4 + 2*p + 4 + 38\/27*p**3 + 13\/9*p**2. Factor k(u).\nAnswer: -2*(u - 13)*(3*u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2350*k**4 - 6492*k**3 + 35303112*k**2 wrt k.\nAnswer: -56400*k - 38952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 21101?\nAnswer: -21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1301.7348 milliseconds to hours.\nAnswer: 0.000361593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6600\/4950*63\/(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:56 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + (-1)\/(-1))*-18. Let l = v + -36. Suppose l = i - 13 + 2. Calculate the remainder when 20 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 + 2*y**3 + 0*y**2)*(3 - 3 + y + (11*y - 6*y + 8*y)*(-1 + 2 + 0)) to the form s*y**3 + w*y**4 + x + f*y + p*y**2 and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**6\/420 + 2*h**5\/35 + 12*h**4\/7 - 576*h**3\/7 - 1030*h**2. Determine y, given that z(y) = 0.\nAnswer: -12, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 11*r**2 + 9*r + 10. Give f(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 131896.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 3, -53986, -4 in ascending order.\nAnswer: -53986, -4, -3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 1\/4 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*a + 2*b + 3, 0 = 4*a - 3*b - 57. Calculate the least common multiple of a and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 85*k + 1278. Let j be u(-15). Solve j*g - 1 = v - 0*g, 0 = 5*v - 2*g + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*p = -2 - 0, -3*v = -2*p. Suppose -3*a + 3*u - 4 + 10 = 0, -3*a - 3*u - 6 = 0. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, -1\/2, -13, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 60*s**3 + 175*s**2 + 120*s.\nAnswer: 5*s*(s + 1)*(s + 3)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 120. Let b = -13 - p. Does 27 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422064 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -0.7. Let j = 0 + 0. Let y = j - k. Which is the third biggest value? (a) 0.3 (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(171) - 5*-1*sqrt(171)))\/(sqrt(81)\/(5*sqrt(36))).\nAnswer: 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -209*h - 2035. Determine f(-10).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202929*x + 5440 = 203065*x for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by -2.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4 + 0 - 5*u - 1. Let b(q) = -q**3 + 12*q**2 - 30*q - 5. What is the smallest common multiple of b(7) and p(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 4*j + j + 2*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10872 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2099981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07048215 and 0.3.\nAnswer: 0.021144645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/9*(-24)\/10. Which is smaller: i or -13\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*y - 0*y. Let n(r) = -r**3 + r**2 - 2*r + 72. Let q be n(0). Calculate the greatest common factor of q and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from qfzzffzgfgfzjfz.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1989 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from xnfnbdldxxxd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 31, 5 in ascending order.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2.4, -50, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**2 - 5*y**2 + 32*y**2 - 9*y**2 to z + t*y**2 + r*y and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -321528 (base 14) in base 3?\nAnswer: -10012001211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 21 + 79. Let d = 7 + t. Let f be -3 + d*6\/(-3). Solve 2 - 3 = 4*q - k, -2*q + 5*k - f = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 27*g**2 - 12*g**2 - 17*g**2 + 4*g**4 to the form l*g**4 + u*g + o*g**3 + p + a*g**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.209 * -1\nAnswer: -0.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2817 - 2817 + 259*g**3.\nAnswer: 259*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 44*w - 80. Sort -43, w, 3\/4, -0.1 in ascending order.\nAnswer: -43, w, -0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(187)*4 + sqrt(187))\/(-2*sqrt(275)) + -1)**2.\nAnswer: 13*sqrt(17)\/5 + 2973\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k**(-1\/3)*k)))\/((k**(3\/8)\/k)\/k*k))\/((k**0*k)\/k)**6*((k\/(k**(-1)\/k))**(-9))**(-43) assuming k is positive.\nAnswer: k**(27871\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 2. Suppose 30 = 4*l + 10. What is the remainder when 82\/697 + ((-555)\/51)\/(-1) is divided by d(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 10*w**2. Let z be b(-10). Suppose 5*t - 20 = z, -2*s = 6*t - 3*t - 100. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2230 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + sqrt(98) + 2 + 1 + -3*2*sqrt(98))**2 + 0.\nAnswer: -560*sqrt(2) + 2514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**2 + 16*b + 261.\nAnswer: -10*b + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5312219 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + -4.06. Let z = 5 + f. Let w be (1\/6)\/(2\/(-10)). Which is the nearest to z? (a) w (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25988 divided by -6497?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4 + 0 + (-21)\/(-6). Suppose -4*y + 208791 = -3*j, -u*y + 5*j + 108744 = 4359. What is y rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 951889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13 = 3*u - 2*s, -4*u = -4*s - 12. What is the second smallest value in 3, u, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(99) + -4 + 6*(sqrt(44)\/sqrt(4) - sqrt(11)) + 1.\nAnswer: -6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5348 + 0.4652. What is the closest to f in 5, -4, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42209, 44516, 48361, 53744, 60665, 69124, 79121?\nAnswer: 90656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2386 - 176561\/74. Are 0 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*z**2 + 2\/7*z**4 - 2\/7*z + 2\/7*z**3.\nAnswer: 2*z*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 893125 divided by 13\nAnswer: 893125\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (5025\/(-500) - (-18)\/8)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1 - 81 = 0. Let a = 98 + p. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8804841?\nAnswer: 3, 1409, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 5*o - o)*(-3 + 3 - 2) + 3*o + 2*o - 2*o + (-4*o + 2*o + 0*o)*(3 - 4 + 2) to the form f + d*o and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + r = -5, 3*d + 4*r = d + 8. Let m(w) = 2 + w + 3*w**2 - 3*w + 5*w**3 - 4*w**3. Let q be m(d). Calculate the greatest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103791793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:15 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2\/4 - 5631*u\/2 + 33678 = 0.\nAnswer: 12, 3742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3177090 by -205.\nAnswer: 15498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*d + 69*d + 5965 = -4085 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 888016 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-5 - -3 - 3) - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3352, -13404, -30162, -53632, -83820, -120732?\n\"Answer: -l**3 - 3347*l**2 - 4*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -1b4?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.230646646 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.09, 0.16 in descending order.\nAnswer: 0.16, -0.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 11) in base 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 58\/12 - 5\/(-30). Suppose -j*i + 56 + 69 = 0. Let x = i - 17. Solve 0 = 3*h - x*h - 2*y + 23, -3*h - 7 = -4*y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 1cc?\nAnswer: 1d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 548*f + 1642\/3.\nAnswer: 2*(f - 821)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2\/9)\/f)\/f*f\/(f*f*f\/(((f*f**(5\/2))\/f)\/f)*f) assuming f is positive.\nAnswer: f**(-31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4728 and -51\/164.\nAnswer: 193848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2. Let u(f) = 16 + 19 - 35 + 9*f. Give j(u(i)).\nAnswer: -243*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 8. What is c(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1161\/43*4\/18. Suppose -l*m + 9*m - 1764 = 0. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76.5*22\nAnswer: -1683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v = 27*v + 2*y, 4*y - 6 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 76644 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2042 = 124*a + 100*a + 1818 - 500 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57933 - 0.4.\nAnswer: -57933.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42031 (base 10) to base 12.\nAnswer: -203a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l + s - 29, 0 = 3*l + 3*s - 48. Let w be (-2)\/3*(-5 - 1). Let b = w + l. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 770. Let a(m) = m - 660. Let g(v) = 7*a(v) - 6*t(v). Let h(l) = -5*l - 13. Give 2*g(o) + h(o).\nAnswer: -3*o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14804, 59164, 133080, 236552?\n\"Answer: 14778*p**2 + 26*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + o = 0. Suppose o = -d + 3*c + 2*c - 20, 5*c + 10 = -5*d. Which is smaller: -21\/4 or d?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 less than or equal to 3223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(7)*-1*3 - sqrt(224)\/sqrt(8)))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 563 + -222. Let h = n + -356. Let i = 0.1 - -0.9. Which is the biggest value? (a) h (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38373 + 70319. Let o be (-6561)\/(-3)*((-308)\/12 + 1). Let l = v + o. Round l to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {u: 1, a: 1, h: 2, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 7:59 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 1. Suppose -18*a = -2*a + 69696. Let w = a + 47959\/11. What is the common denominator of h(-12) and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k + 12. Let z(i) be the second derivative of i**3\/6 - 6*i**2 + i. Let r be z(9). Does r = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 11, -0.2, -0.0073, -0.17, 0.1?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.68 - -4. Let v = -0.03 - 4.97. Let i be (3*(-18)\/648)\/((-1)\/(-3)). What is the second smallest value in 2, w, i, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 + 2*s - 5. Let w(v) = -9*v**2 - 4*v + 9. Suppose n + 0*j = 2*j, 0 = -5*n - 4*j - 14. Let h be (1\/n - 0)*-14. Determine h*c(d) + 4*w(d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 10*l + 21. Let n be v(3). Is 13777 + n\/(-4) + 1*-4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3143 = -142*v + 265. Solve -v*d = -19 - 125 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 455*f**5*v**2 + 272*f*v**2 wrt f.\nAnswer: 9100*f**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-3 - -1 - -1). Solve -2*b + 2*p + 16 = 0, a*b - 5*p - 28 = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8094.338g?\nAnswer: 8.094338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1945.75 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 338, -28, -6, -2, -36 in increasing order.\nAnswer: -36, -28, -6, -2, 1, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3 - 13340168*f**2 - 8464*f + 17595?\nAnswer: 18*f - 26680336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**8\/336 - z**7\/14 + 13*z**6\/120 + z**5\/4 - 7*z**4\/12 - 60*z**2. Find t such that a(t) = 0.\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5862 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100001 (base 2) to base 16.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 61*n - 5959. Determine q(98).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/4 and (-41)\/16*(-88)\/110.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (341\/(-33) + 10)\/(4\/3). What is the third biggest value in h, -0.5, -66\/5?\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - a**4 - 2*a**4 + (4*a + 0*a - 2*a)*(-2 + 2 + 2*a**3) + 2*a**4 + 0*a**4 + 0*a**4 + (-a + 0 + 0)*(-1 - 1 + 4)*(-2*a**3 + 2*a**3 - a**3).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 3*s = 6*b + 268, -4*b = 4*s - 296. Suppose 2*n - 814 = 2*m + 16, -n = -3*m - 411. Calculate the remainder when n is divided by b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49124?\nAnswer: 2, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l**3 - 3*l**2 - 9*l + 4. Let z be o(6). Suppose -2*b + z = 42. Let c = b - -233. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318 and 4134?\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8362 - 8444 + 16576 = 2*j + 46*c, 25 = -5*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3695 divided by -3695.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aacjqqqbjje. Give prob of picking 3 j and 1 c.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 637632.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 11022?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/22 - (-831)\/33. Let h be 10\/n*-5 - (0 + -236). What is the greatest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + -22 + (68 - 126)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-17))**(-3\/4)\/(d**(2\/45)*d**(-9)) assuming d is positive.\nAnswer: d**(3907\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/18))\/o**(-22) assuming o is positive.\nAnswer: o**(415\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 914022450 to the nearest integer?\nAnswer: 30233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 12. Let j be r(10). Let t be (-10 - -4)*j\/(-1). Solve -2*m = -4*m + 3*u + 11, -3*m + t = -3*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = 299 - 719. Suppose 5*p - 11 = -3*w - h, -2*p = -4*w + 18. Calculate the remainder when 161 is divided by 935\/22 - 3\/w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -5*m + 2*k, 2*m + 5*k = -2*m + 91. Solve -4*d + 22*d**4 - m*d**4 + 2 + 2*d**3 + 2*d**3 = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*r**2 + 6*r**2 + 3972*r - 3875*r in the form w*r + j + u*r**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283125, -283077, -282945, -282687, -282261, -281625, -280737, -279555?\nAnswer: -278037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4220653*d - 8441377*d + 4220710*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {n: 1, g: 10, k: 2, z: 3, m: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15648 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 733517\/1386 - 23117\/42. Let j = g - -9329\/198. Let l = 13\/9 - j. Find the common denominator of 39\/7 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 + -94. Suppose -o - 5*p + 24232 = 0, 2*o - 41145 = n*p + 7389. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1230945 (base 10) to base 13.\nAnswer: -341391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 3 - -4 - 3)*27. Let h = 102 + d. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-15) - 1)\/((-4)\/(-20)). Let q = 11 - 8. Let f(u) = -q*u + u - u + 2*u. Calculate f(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -1.9. Let b = 1 - 1. Let c = b - -3. Is c bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-562)\/5 - (1 + 35\/(-25)). Let n = j + 786\/7. Factor -n*u + 2\/7*u**4 + 0 - 2\/7*u**2 + 2\/7*u**3.\nAnswer: 2*u*(u - 1)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 13265?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9908257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.097 - 0.097. Sort j, 0, 1\/13, -2.\nAnswer: -2, 0, 1\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12342 (base 12) in base 14?\nAnswer: 8dc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r)**(-15))**(-4\/11) assuming r is positive.\nAnswer: r**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 8328 = 37*d - 41*d, -h = 2*d - 4150. Calculate the remainder when d is divided by 1020.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 4*a**3 + 4*a**3)*((3*a - 2*a + 0*a)*(0 + 2 + 0) + 2 - 2 - a - 42*a + 99525 - 99525).\nAnswer: 41*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -355*t + 2773. Calculate x(8).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 440203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -217\/3. Let h be 4\/(-15)*(-1 - 2). Sort 4, q, 12\/11, h in descending order.\nAnswer: 4, 12\/11, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 9 + g + 0*g. Let d(k) = -k + 4. Let t(j) = -7*d(j) - 3*v(j). Calculate t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - y - 9. Calculate g(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (sqrt(272) - sqrt(272)*2)).\nAnswer: 10 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1963, 7734, 17295, 30646, 47787, 68718, 93439?\nAnswer: 121950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 6*c = -20*c + 30. Solve 118*d = 116*d - h, c*d = -3*h + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(sqrt(245) + (sqrt(245) - (sqrt(245)*4 + sqrt(245))) + sqrt(245) + sqrt(245)) + 2)**2 + -3.\nAnswer: -280*sqrt(5) + 6138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/7)*j)\/j*j**8*j*(j**(1\/3))**(-24))**(26\/3))**(2\/41) assuming j is positive.\nAnswer: j**(260\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 10, 2*l - 259 = 21*n - 18*n. Let b(a) = 20*a - 3. Let s(q) = -561*q + 85. What is n*b(p) - 3*s(p)?\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 11 = -d + 9, -5*r = 3*d - 34 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3552*z**3 - 8*z**2 - 4*z + 758. Let q(d) = d**3 - 2*d**2 - d - 4. Let j(a) = n(a) - 4*q(a). What is the derivative of j(o) wrt o?\nAnswer: -10668*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3032*i + 49. What are the prime factors of r(-9)?\nAnswer: 27337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 8:18 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/8)\/((10\/(-24))\/(-5)). Suppose 0 = 4*i - 2 - r. Solve -3*t + 7*t + i = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 - 707\/5. Suppose -r = -4*l - 8, 3*l - 1 = -r - 7. Suppose r = 7*u + 60 - 39. What is the second smallest value in -2, b, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-3 - 0)*30715\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*d + 113 - 39 = -7*d, -9*d = -25*k - 2186 for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 23. Let i(y) = 18*y + 3. Let r be i(3). Suppose g + r = 4*g. Calculate the remainder when g is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 869*g**9\/168 + g**5\/12 + 14*g**3 - 3*g**2 - 412. What is the third derivative of h(q) wrt q?\nAnswer: 312840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 71*s - 10. Let i(t) = -980*t + 2. Give b(i(h)).\nAnswer: -69580*h + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*m + 19 = 2*s, -18 = -s + 4*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*p + 2 = -113*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81416 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l + 2. Suppose 3*v = 6*v - 9. Let g(z) = -5*z + 2. Calculate v*g(j) - 2*q(j).\nAnswer: -5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1abd4a9 - 3?\nAnswer: 1abd4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2 + 96*k = 0?\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)\/(o**(-1)\/o)*(o**(-1\/3)*o*o*o)**47)**20 assuming o is positive.\nAnswer: o**(7625\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 7*y - 1\/2*y**4 - 5*y**3 - 23\/2*y**2.\nAnswer: -y*(y + 1)*(y + 2)*(y + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 6*x**2 - 5*x. Let o be c(-6). Suppose 3*u - 2*q = 39, -2*q + q = 3*u - o. Let f = -11 + u. Which is bigger: 4\/5 or f?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Suppose 5*i - q*w = -4*w - 5, -2*i + 2*w = 2. Do i and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 115 (b) -4 (c) 2\/27 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*o - 10 - 6, o = 3*w - 12. Solve 2*v + v = s + 3, w*v - 4*s - 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let w(t) = -2*t. Let m(h) = 3*w(h) + 2*z(h). Let f(j) = 3*j**2 - 4. Let s(q) = -2. Let n(u) = f(u) - 2*s(u). Calculate n(m(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 1981*m - 1997*m. Let f(p) = 1. Let a(q) = 3*q - 11. What is m*a(c) + 22*f(c)?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.4102l to millilitres.\nAnswer: 68410.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, q: 5}. What is prob of picking 3 u and 1 q?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -120779 less than or equal to -120780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/930 and ((-6 + 7)\/(-465))\/(-4 - 690\/(-172)).\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -1 (b) 4\/5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 68*t - 5. Let r be g(2). Suppose r = 5*k + c, -k + 3*k = 2*c + 50. What is the remainder when k is divided by -2*2\/(8\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) + (-2*sqrt(171) + sqrt(171))*1))\/(5*6*sqrt(225)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6956151\/8 or -869520?\nAnswer: -6956151\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 204*q - 998. Let p be t(7). What is the greatest common divisor of p and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2 + 2*d + d**2 + (-1 + 1 + 1)*(-d**2 - d + d) + 0 + 2*d**2 + 0.\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3113 is divided by 294.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2226*g - 736 - 876 = -2278*g for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*s = 9, -14 = -5*r - 2*s - 7. Is 4651\/9 - 6\/(-27)*r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.1 + -2. Let f = -1.97 + -0.03. Let k = -0.35 + -0.05. What is the nearest to f in -1, k, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 38518*f - 38402*f + 1 - 2 + 76932*f + 3.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.423421 decades to years.\nAnswer: 74.23421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from oozzdoaolodoz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*x**6 - 654272*x**3 - 25*x**2 + 13547*x - 13 wrt x.\nAnswer: -5520*x**3 - 3925632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -9. Let s = 51 - 52.4. Let a = 1.5 + s. Does l = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 6755628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0) + 0 + 0. Let v be 67 - (-2 - o - 2). Factor 70*y - v*y + 3*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*m + 6*m + 1371 = 283. Let g(q) = -13*q - 38. Determine g(m).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93713 is divided by 629.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153881333\/139596 - -3\/46532. Let f = w - -1086. What is the common denominator of 27*8\/(-120) - 3\/(12\/8) and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 12*d - 1. Let b be m(-9). Solve 3*o + b = r - 5*r, -5*r + 3*o - 19 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/(-20) - (4260 - 0). Let x = q - 54138. Round x to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -70 = -5*g - 5*x, -4*x - 2 = -5*x. Suppose b = 3*b - 5*v - 24, b - 2*v = 10. Solve -r = -b*y - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 703795724780 + -37.\nAnswer: 703795724743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1923515215?\nAnswer: 5, 103, 257, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/36 greater than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2)*-2 + 38. Suppose -v = 3*b - 39, -b - v - 1 = 4*v. Suppose -4*g = -3*x - p + 2, b = g - 5*x. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79.16 - 2.84. Which is bigger: t or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2778867 - -1378867. What is p rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12747 - 11061. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.78 - -19.71. Which is the biggest value? (a) -0.18 (b) l (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190b36 (base 14) to base 10.\nAnswer: -885772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a685 (base 11) to base 6.\nAnswer: 145225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -61. Let s(t) = -t**3 - 9*t**2 + 2*t - 3. Let h be s(-10). Let y = h + -73. Solve -y*j + 1 = -n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -19. Is 10 a factor of (4\/(-5))\/(z\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122173*l - 1025149*l + 145594*l.\nAnswer: -1001728*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -534*t + 1715. Let o(g) = 854*g - 2573. Determine -8*b(s) - 5*o(s).\nAnswer: 2*s - 855","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = -73. Suppose -g + 4*g = 3*z - o, -g - 5 = 0. Suppose i = -4*v - 5, 6*v = 2*i + v - z. Put 6, -2, i in ascending order.\nAnswer: -2, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -13865.\nAnswer: -13864.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5651625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.2 (c) -0.6 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -917 - -1632. What is the highest common factor of 110 and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 9*v**2 + 22*v - 384. Calculate x(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 877 + 802 = 0. Solve p*v + 5*q + 29 - 19 = 0, 7 = -3*v - 4*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - 208?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -103*u - 16. Let s(x) = -102*x - 16. Let l(d) = -4*s(d) + 5*w(d). Let r be l(-8). Suppose 3*o - 5*v + 514 = 6*o, 5*o - r = -5*v. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -203 + -9?\nAnswer: -20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.1 (c) -1 (d) -0.2 (e) -67 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -584, -2329, -5236, -9305, -14536?\n\"Answer: -581*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8\/7)\/(i\/i**13) assuming i is positive.\nAnswer: i**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*(-8)\/(-80)*-1)\/((-230)\/(-5750))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 229*b + 12849. Determine u(-131).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.458 rounded to one dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14846336513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1745 - 799. What is m rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127.\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1837422 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -3) + (-2)\/2. Suppose d = i + c, i - d + 2 = -i. Suppose -g - 2*a + a = -38, i = 3*g - 3*a - 120. What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2 + 10774*o + 10776 = 0 for o.\nAnswer: -1, 5388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3\/4, 2, -0.4, 3\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23422476 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 0.8. Let g = 77 - 99.2. Let f = g + 22. What is the third biggest value in 2\/3, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -0.04 (c) -3460\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*u**3*w**2 + 22*c*u**3*w - c*u**2*w**3 + 2*c*u*w**3 + 2*c*u*w**2 - 17*u**3*w**3 wrt w?\nAnswer: -6*c*u**2 + 12*c*u - 102*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -672. Calculate the common denominator of 38\/27 and r*(-8)\/(-792) + 6.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -1\/83, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.4. Let n = -4.11 - -0.11. Let d = -4.1 - n. Do d and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 - 130. What is the highest common factor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = p, 8*f = 9*f + 4*p - 1965. Suppose -h - 5*g + f = 2*h, 4*g + 2604 = 4*h. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 107, 366, 811, 1454, 2307?\n\"Answer: 2*r**3 + 81*r**2 + 2*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 + t**2 + 2*t - 3. Let j be g(1). Let r be (10 + 0)\/2 - 1. Let h be 3 + -7 - (2 + -1). Put j, h, r in ascending order.\nAnswer: h, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3244?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3688053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/13)\/((l**(1\/3)*l)\/l))**(-10)*l**(-2\/3)\/l**1*(l**(2\/5)\/l)**(-34) assuming l is positive.\nAnswer: l**(4003\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 2099, 4, 10, -23, -4 in increasing order.\nAnswer: -23, -4, 4, 10, 34, 2099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*-1 + (sqrt(153) + (sqrt(153) + sqrt(153)*2 + sqrt(153))*4 - sqrt(153)))\/(sqrt(99)\/(sqrt(44)\/sqrt(4)) + sqrt(9)*-2*2).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 9:45 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 18, r: 2}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/75 and 59\/19881?\nAnswer: 497025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -110415 (base 7) to base 4\nAnswer: -10233120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5989947 rounded to 1 decimal place?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from tgggggggggggggg.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 2*f**4\/3 - f**3\/2 + 3*f**2\/2 - f + 63. Let a = 281 - 280. Let b(n) = -n**2 + n - 1. Determine a*u(v) + 3*b(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (185 + 131 - 7)*(-4 - v**3 + 4).\nAnswer: -309*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3325 (base 11) to base 7.\nAnswer: 15531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-72))\/((-2)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090*t + 181656 = 804*t + 442*t + 1028*t for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggngrrtnn. What is prob of picking 1 n, 1 r, and 2 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 4. Let x(f) = 0 - 6*f + f**2 + 20*f - 2. Let h be x(-18). Let t = h - 70. Calculate n(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1149 + -4?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85 + 226 + 129)*(k**2 - k**2 - k**2) to n*k + t + o*k**2 and give o.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 9 + 0 + (-64 - -44) + (3 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3021201 + 3021168.99982. Let r = -32 - y. Round r to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*j + 10, 3*x - 4*j + 20 = 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a second in milliseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2434925737\/4084 + 596211. What is the common denominator of k and 11\/2?\nAnswer: 4084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a09429 (base 11) to base 6.\nAnswer: -200431325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 1\/3, 4, 1 in decreasing order.\nAnswer: 91, 4, 1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -115547 (base 11) in base 7?\nAnswer: -1361352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 7*o - 10. Let f = 24 + o. Suppose -2 - f = 9*x. Sort 5, 2, x in descending order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}